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Zeitschriftenartikel zum Thema „Williams’ series“

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Veröffentlicht am 24. August 2024

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1

Xu, Hua, und Lu Feng Yang. „Mode-II Stress Intensity Factor by Triangular Williams Element with Generalized Degrees of Freedom“. Applied Mechanics and Materials 204-208 (Oktober 2012): 4391–95. http://dx.doi.org/10.4028/www.scientific.net/amm.204-208.4391.

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A new triangular Williams element with generalized degrees of freedom (GDOFs) was proposed for analysis of stress intensity factor (SIF) of mode II crack. The singular region around the crack tip was evenly divided into a series of triangular elements, which could be approximated by the improved Williams series. On the basis of the principle, the displacement of local field must be compatible with that of the global one, so that the SIF at the crack tip can be directly evaluated by one of the undetermined constants of the Williams series. Three important parameters for the triangular Williams element, including the radial scale factor, the number of subelements and the terms of the Williams series, were discussed in detail. Numerical example shows that the triangular Williams elements with GDOFs can directly calculate the mode II SIF with high accuracy and efficiency.

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2

Zhabbarov, R. M., und L. V. Stepanova. „COMPARATIVE ANALYSIS OF STRESS STATE IN THE VICINITY OF THE CRACK-TIPS AND NOTCHES USING TRUNCATED WILLIAMS SERIES EXPANSION“. Vestnik of Samara University. Natural Science Series 27, Nr. 4 (14.10.2022): 30–67. http://dx.doi.org/10.18287/2541-7525-2021-27-4-30-67.

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In the present study the asymptotic analysis of the multi-parameter Williams series expansion of the stress-strain state in the vicinity of seven different configurations is performed. The aim of the asymptotic analysis is to educate the sensitivity of different cracked and notched configurations to the number of kept terms in Williams series expansion. It is shown that all configurations with the concentrated forces possess the more sensitivity to the number of terms in the truncated Williams series expansions and, therefore, require the more terms in the series expansion. The cracked configurations with distributed loadings are less sensitive to the number of terms in Williams series expansion. As a whole, it is demonstrated that high order terms have principal role in the description of the stress-strain in the vicinity of the crack tip.

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3

Xu, Hua, Lu Feng Yang und Zhen Ping She. „Mode-III Stress Intensity Factor by Williams Element with Generalized Degrees of Freedom“. Advanced Materials Research 487 (März 2012): 242–46. http://dx.doi.org/10.4028/www.scientific.net/amr.487.242.

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Williams series are developed for mode III cracks, based on which the displacement field is defined in the singular region around the crack tip. The Williams element with generalized degrees of freedom (GDOFs) is proposed for analysis of stress intensity factor (SIF) of mode III crack. The SIF at the crack tip can be evaluated analytically by one of the undetermined constants of the Williams element. The influence of the relative length of the crack on the SIF is investigated. Three important parameters for the Williams element, including the radial scale factor, the number of subelements and the terms of the Williams series, are discussed in detail. Numerical example shows that the Williams element is of accuracy and efficiency.

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4

Ramsaran, Rollin. „Pocket Study Skills Series - Series edited by Kate Williams“. Teaching Theology & Religion 15, Nr. 3 (Juli 2012): 289–90. http://dx.doi.org/10.1111/j.1467-9647.2012.00812.x.

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5

Li, M., M. Lei, C. Shi, P. H. Wen und M. H. Aliabadi. „On the Validation of Williams' Stress Function for Dynamic Fracture Mechanics“. Key Engineering Materials 665 (September 2015): 257–60. http://dx.doi.org/10.4028/www.scientific.net/kem.665.257.

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The Finite Block Method (FBM) for computing the Stress Intensity Factors (SIFs) and the T-stress under transient dynamic load is presented. In order to capture the stress intensity factor and the T-stress, the Williams' series of stress function is introduced in the circular core for statics generally. In the Laplace domain, the Deng's series of stress and displacement is too complicated to be used easily like Williams' series. However, the numerical solutions show that Williams' solution of series is still valid with smaller core size. Comparisons have been made with the solutions given by the finite element method (ABAQUS).

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6

Hibbard, James. „Prologue: Harold Williams Series, Geoscience Canada“. Geoscience Canada 40, Nr. 4 (20.12.2013): 294. http://dx.doi.org/10.12789/geocanj.2013.40.020.

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7

Stepanova, L. V. „Experimental determination and finite element analysis of coefficients of the multi-parameter Williams series expansion in the vicinity of the crack tip in linear elastic materials. Part I“. PNRPU Mechanics Bulletin, Nr. 4 (15.12.2020): 237–49. http://dx.doi.org/10.15593/perm.mech/2020.4.20.

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This study aims at obtaining coefficients of the multi-parameter Williams series expansion for the stress field in the vicinity of the central crack in the rectangular plate and in the semi-circular notched disk under bending by the use of the digital photoelasticity method. The higher-order terms in the Williams asymptotic expansion are retained. It allows us to give a more accurate estimation of the near-crack-tip stress, strain and displacement fields and extend the domain of validity for the Williams power series expansion. The program is specially developed for the interpretation and processing of experimental data from the phototelasticity experiments. By means of the developed tool, the fringe patterns that contain the whole field stress information in terms of the difference in principal stresses (isochromatics) are captured as a digital image, which is processed for quantitative evaluations. The developed tool allows us to find points that belong to isochromatic fringes with the minimal light intensity. The digital image processing with the aid of the developed tool is performed. The points determined with the adopted tool are used further for the calculations of the stress intensity factor, T-stresses and coefficients of higher-order terms in the Williams series expansion. The iterative procedure of the over-deterministic method is utilized to find the higher order terms of the Williams series expansion. The procedure is based on the consistent correction of the coefficients of the Williams series expansion. The first fifteen coefficients are obtained. The experimentally obtained coefficients are used for the reconstruction of the isochromatic fringe pattern in the vicinity of the crack tip. The comparison of the theoretically reconstructed and experimental isochromatic fringe patterns shows that the coefficients of the Williams series expansion have a good match.

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8

Stepanova, L. V., D. A. Semenov und G. S. Anisimov. „APPLICATION OF HOLOGRAPHY METHOD FOR THE RESTORATION OF THE WILLIAMS SERIES NEAR THE CRACK TIP“. Vestnik of Samara University. Natural Science Series 29, Nr. 1 (27.06.2023): 15–46. http://dx.doi.org/10.18287/2541-7525-2023-29-1-15-46.

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The article describes the processing of the results of a series of experiments performed by the interference-optical method of holographic interferometry (holographic photoelasticity) aimed at computing the amplitude coefficients of the M. Williams series constituting the stress and displacement fields at the crack tip for several cracked configurations. The main objective of this study is the experimental and computational determination of the coefficients of the M. Williams series for the stress, strain and displacement fields associated with the crack tip in an isotropic linearly elastic medium taking into account regular (non-singular) terms in the multiparameter Williams series. These coefficients are named generalized stress intensity factors. The method of holographic interferometry is shown to be a convenient and efficacious tool for reconstructingthe stress field near the tip of the crack, because during the experiment it is possible to obtain two families of interference fringe patterns: absolute retardation fringes (isodromics) for vertical and horizontal polarizations. Experimental outcomes were thoroughly processed using the developed digital application allowing us to accumulate the isodromics orders and coordinates of points belonging to absolute retardations. In this work, absolute retardation fringes in a plate with a central horizontal crack and a crack inclined at different angles are obtained. For each type of experimental sample, the coefficients of the Williams series were calculated taking into account non-singular terms (in the representation of M. Williams, fifteen terms were preserved). A procedure for linearization of nonlinear algebraic equations following from the relations of Favres law is proposed. By solving the obtained overdeterministic system of linear algebraic equations, the generalized stress intensity factors (coefficients of the M. Williams series) are estimated. Conjointly, the finite element analysis of the specimens with same geometry was effectuated. The experimentally determined values of the Williams series are compared with the results of the finite element calculation of the stress-strain state performed in the SIMULIA Abaqus software.The results of the numerical and experimental studies were found to be quite consistent. It is lucidly shown that it is imperative to keep the higher order terms in the Williams seriesexpansions for the fields associated with the crack tip.

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9

Stepanova, L. V. „Experimental determination and finite element analysis of coefficients of the multi-parameter Williams series expansion in the vicinity of the crack tip in linear elastic materials. Part II“. PNRPU Mechanics Bulletin, Nr. 1 (15.12.2021): 72–85. http://dx.doi.org/10.15593/perm.mech/2021.1.08.

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In this study coefficients of the multi-parameter Williams power series expansion for the stress field in the vicinity of the central crack in the rectangular plate and in the semi-circular notched disk under bending are obtained by the use of the finite element analysis. In SIMULIA Abaqus, the finite element analysis software, the numerical solutions for these two cracked geometries are found. The rectangular plate with the central crack has the geometry similar to the geometry used in the digital photoelasticity. Numerical simulations of the same cracked specimen as in the experimental photoelasticity method are performed. The numerical solutions obtained are utilized for the determination of the coefficients of the Williams series expansion. The higher-order coefficients are extracted from the finite element method calculations implemented in Simulia Abaqus software package and the outcomes are compared to experimental values. Determination of the coefficients of the terms of this series is performed using the least squares-based regression technique known as the over-deterministic method, for which stresses data obtained numerically in SIMULIA Abaqus software are taken as inputs. The plate with a small central crack has been considered either. This kind of the cracked specimen has been utilized for comparison of coefficients of the Williams series expansion obtained from the finite element analysis with the coefficients known from the theoretical solution based on the complex variable theory in plane elasticity. It is shown that the coefficients of the Williams series expansion match with good accuracy. The higher-order terms in the Williams series expansion for the semi-circular notch disk are found.

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10

Kendirli, Barış. „Fourier Coefficients of a Class of Eta Quotients of Weight 4“. International Journal of Advanced Mathematical Sciences 4, Nr. 1 (02.02.2016): 4. http://dx.doi.org/10.14419/ijams.v4i1.5737.

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<p>Recently, there have been several works on the coefficients of the Fourier series expansions of a class of eta quotients by Williams, Yao, Xia and Jin, Kendirli, and Alaca. Some important explicit formulas have been discovered. Williams expressed all coefficients of one hundred and twenty-six eta quotients in terms of and and Yao, Xia and Jin, following the method of proof of Williams, expressed only even coefficients of one hundred and four eta quotients in terms of and The author has expressed the even and odd coefficients of the Fourier series expansions of a class of eta quotients in terms of and for Meanwhile, Alaca has obtained the coefficients of the Fourier series expansions of a class of eta quotients in in terms of and Here, we will express the coefficients of the Fourier series expansions of a class of eta quotients in in terms of and Fourier coefficients of the four eta quotients.</p>

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11

Fang, Lulu, und Min Wu. „A Note on Rényi's ‘Record’ Problem and Engel's Series“. Proceedings of the Edinburgh Mathematical Society 61, Nr. 2 (15.02.2018): 363–69. http://dx.doi.org/10.1017/s0013091517000116.

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AbstractIn 1973, Williams [D. Williams, On Rényi's ‘record’ problem and Engel's series, Bull. London Math. Soc.5 (1973), 235–237] introduced two interesting discrete Markov processes, namely C-processes and A-processes, which are related to record times in statistics and Engel's series in number theory respectively. Moreover, he showed that these two processes share the same classical limit theorems, such as the law of large numbers, central limit theorem and law of the iterated logarithm. In this paper, we consider the large deviations for these two Markov processes, which indicate that there is a difference between C-processes and A-processes in the context of large deviations.

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12

Sobek, Jakub, T. Pail und Václav Veselý. „Evaluation of Crack Tip Stress Field Using Combination of Advanced Implementation of Over-Deterministic Method and FE Analysis“. Key Engineering Materials 627 (September 2014): 273–76. http://dx.doi.org/10.4028/www.scientific.net/kem.627.273.

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Creation of an automatic utility to determine the values of coefficients of higher order terms of Williams power series by usage of over-deterministic method applied to results of finite element analysis is a main goal of this research. The developed procedure based on the support of Java programming language considerably simplifies analyses on optimization of selection of FE nodal results for improvement of accuracy of the near-crack-tip fields’ approximation using Williams series.

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13

Veselý, Václav, Jakub Sobek, Petr Frantík, Michal Štafa, Lucie Šestáková und Stanislav Seitl. „Estimation of the Zone of Failure Extent in Quasi-Brittle Specimens with Different Crack-Tip Constraint Conditions from Stress Field“. Key Engineering Materials 592-593 (November 2013): 262–65. http://dx.doi.org/10.4028/www.scientific.net/kem.592-593.262.

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A multi-parameter fracture mechanics concept based on the Williams power series is applied on novel cracked specimen geometries utilizing combined boundary conditions of the wedge splitting and the three-point bending test. Crack tip stress fields for various configurations (causing different constraint conditions at the crack tip and thus also different fracture process zone extents) are numerically investigated and subsequently analytically reconstructed using developed procedure. An importance of using higher order terms of the Williams series is demonstrated.

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14

YAO, OLIVIA X. M., ERNEST X. W. XIA und J. JIN. „EXPLICIT FORMULAS FOR THE FOURIER COEFFICIENTS OF A CLASS OF ETA QUOTIENTS“. International Journal of Number Theory 09, Nr. 02 (05.12.2012): 487–503. http://dx.doi.org/10.1142/s179304211250145x.

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Recently, Williams discovered explicit formulas of the coefficients c(n) in the Fourier series expansions of a class of eta quotients. Motivated by the results obtained by Williams, we find that the coefficients c(2n) in the Fourier series expansions of another class of eta quotients can be represented as a linear combination of σ3(n), σ3(n/2), σ3(n/3) and σ3(n/6). One example is [Formula: see text] where [Formula: see text]

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15

Williams, Chris, und Anne Garland. „Identifying and challenging unhelpful thinking“. Advances in Psychiatric Treatment 8, Nr. 5 (September 2002): 377–86. http://dx.doi.org/10.1192/apt.8.5.377.

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In the first two articles of this series (Williams & Garland, 2002; Wright et al, 2002), we looked at the different areas of human experience that alter during times of mental illness. The Five Areas Assessment model (Williams, 2001; see also Fig. 1 of Williams & Garland, 2002) provides a clear summary of the range of problems and difficulties faced by the individual in each of the following domains: 1life situation, relationships, practical problems2altered thinking3altered emotions (moods or feelings)4altered physical feelings/symptoms5altered behaviour or activity levels.

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16

Garland, Anne, Richard Fox und Chris Williams. „Overcoming reduced activity and avoidance: a Five Areas approach“. Advances in Psychiatric Treatment 8, Nr. 6 (November 2002): 453–62. http://dx.doi.org/10.1192/apt.8.6.453.

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In the first three papers of this series (Williams & Garland, 2002a, b; Wright et al, 2002), we looked at the different areas of human experience that alter during times of mental illness. The Five Areas Assessment model (Williams, 2001; see Williams & Garland, 2002a, Fig. 1) provides a clear summary of the range of problems and difficulties faced by individuals in each of the following domains: 1life situation, relationships, practical problems2altered thinking3altered emotions (moods or feelings)4altered physical feelings/symptoms5altered behaviour or activity levels.

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17

Veselý, Václav, Lucie Šestáková und Stanislav Seitl. „Influence of Boundary Conditions on Higher Order Terms of Near-Crack-Tip Stress Field in a WST Specimen“. Key Engineering Materials 488-489 (September 2011): 399–402. http://dx.doi.org/10.4028/www.scientific.net/kem.488-489.399.

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A precise description of the stress and deformation fields in a cracked body is provided using multi-parameter fracture mechanics based on the approximation of the fields by means of the Williams’ power series. This paper presents a detailed analysis of the stress field in a wedge-splitting test geometry specimen aimed at the calculation of coefficients of the higher order terms (up to 14) of the Williams’ expansion. The numerical study is conducted with the use of a conventional finite element package; however, for processing of the results an over-deterministic method is employed. Special attention is paid to the influence of boundary conditions of the test geometry on the values of the coefficients of the higher order terms of the Williams’ series. The results are compared to data from the literature; a strong effect of the boundary conditions is observed.

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18

Petrova, D. M., A. V. Mironov, A. A. Buchanko und R. M. Zhabbarov. „TO THE SCRUTINY OF THE EXPERIENTIAL AND COMPUTATIONAL ELICITATION OF FACTORS OF THE WILLIAMS MULTI-PARAMETER EXPANSION“. Vestnik of Samara University. Natural Science Series 28, Nr. 3-4 (23.03.2023): 88–104. http://dx.doi.org/10.18287/2541-7525-2022-28-3-4-88-104.

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The article defines stress fields near the tips of mathematical cracks in an isotropic linearly elastic plate with two horizontal collinear cracks lying on a straight line of different lengths under the uniaxial tensile condition, using two approaches - experimental, based on the method of digital photomechanics, and numerical, based on finite element calculations. To represent the stress field at the tip of the section, the Williams polynomial series is used - the canonical representation of the field at the top of the mathematical section of a two-dimensional problem of elasticity theory for isotropic media. The main idea of the current study is to take into consideration the regular (non-singular) terms of the series and analyze their impact on the holistic description of the stress field in the immediate vicinity of the top of the section. The first fifteen coefficients of the Max Williams series were preserved and determined in accordance with experimental patterns of isochromatic bands and finite element modeling. To extract the coefficients of the Williams series used a redefined method designed to solve systems of algebraic equations, the number of which is significantly greater than the unknown - amplitude multipliers. The influence of the non-singular terms of the Williams series on the processing of the experimental pattern of interference fringes is demonstrated. It is validated that the preservation of the terms of a high order of smallness makes it possible to expand the area adjacent to the tip of the crack, from which experimental points can be selected. The finite element study was carried out in the SIMULIA Abaqus engineering analysis system, in which experimental samples tested in a full-scale experiment were reproduced. It is revealed that the results obtained by the two methods are in good agreement with each other.

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19

Whitley, Rob, David S. Fink, Julian Santaella-Tenorio und Katherine M. Keyes. „Suicide Mortality in Canada after the Death of Robin Williams, in the Context of High-Fidelity to Suicide Reporting Guidelines in the Canadian Media“. Canadian Journal of Psychiatry 64, Nr. 11 (10.06.2019): 805–12. http://dx.doi.org/10.1177/0706743719854073.

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Background: Evidence suggests that suicide mortality increases after high-profile suicide deaths. Indeed, suicide in the United States increased disproportionately after the suicide by suffocation of well-known comedian Robin Williams in August 2014. Such increases are often attributed to irresponsible media coverage of the suicide contributing to “copycat suicides.” However, recent research indicates that the mainstream Canadian media have significantly improved their suicide coverage, with high fidelity to suicide reporting guidelines after Williams’ death. As such, the aim of the present study is to examine suicide mortality in Canada after Robin Williams’ suicide. Methods: We obtained deidentified monthly suicide count data from January 1999 to December 2015 stratified by age, sex, and method of suicide from Statistics Canada. We used time-series analyses to estimate the expected number of suicides in the months following Robin Williams’ death. This was done using a seasonal autoregressive integrated moving averages (SARIMA) method. Expected suicides were then compared with observed suicides. Results: August 2014 was the month with the highest number of suicides from 2010 to 2015. The time-series model indicated a 16% increase in the expected number of suicides during the months from August to December 2014 inclusive. Moreover, males over 30 had the greatest number of excess suicides, and suicides by suffocation (the method used by Robin Williams) were also higher in August and the following months. Interpretation: Suicides increased in Canada after Robin Williams’ death, despite the improved mainstream media coverage witnessed in other studies. Other factors (e.g., social and alternative media) may have contributed to the observed increase in suicide.

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20

Kar, Bibhas, S. Sivamani und K. Sivakumar. „Varying Clinical Presentation of Williams Syndrome: A Case Series“. International Journal of Human Genetics 15, Nr. 2 (Juni 2015): 51–54. http://dx.doi.org/10.1080/09723757.2015.11886252.

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21

Belmonte, Luca, Daniele Rossetto, Michele Forlin, Simone Scintilla, Claudia Bonfio und Sheref S. Mansy. „Cysteine containing dipeptides show a metal specificity that matches the composition of seawater“. Physical Chemistry Chemical Physics 18, Nr. 30 (2016): 20104–8. http://dx.doi.org/10.1039/c6cp00608f.

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22

Selvan, Dhanashree, Pallavi Prasad, Skyler Crane, Abubkr Abuhagr, Richard Covington, Kateryna Artyushkova, Guda Ramakrishna und Saumen Chakraborty. „Intrinsically fluorescent gold nanoclusters stabilized within a copper storage protein that follow the Irving–Williams trend in metal ion sensing“. Analyst 144, Nr. 13 (2019): 3949–58. http://dx.doi.org/10.1039/c9an00426b.

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23

Malíková, Lucie, Petr Miarka und Hana Šimonová. „Utilization of Williams’ Power Series for Estimation of Crack Behavior under Mixed-Mode Loading“. Key Engineering Materials 827 (Dezember 2019): 203–8. http://dx.doi.org/10.4028/www.scientific.net/kem.827.203.

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Multi-parameter fracture mechanics concept has been applied to investigate crack behavior under mixed-mode loading, particularly in a semi-circular bending disc. The so-called Williams’ series expansion is used for the crack-tip stress field approximation. It has been shown that application of the generalized fracture mechanics concept can be crucial for materials with specific fracture behavior, such as elastic-plastic or quasi-brittle one, when fracture occurs not only in the very vicinity of the crack tip, but also in a more distant surrounding. Then, considering the higher-order terms of the Williams’ expansion in fracture criteria can be helpful. The attention is devoted to the analysis of the influence of various distances between the supports during the three-point bending test on the results of the further crack propagation direction.

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24

Kendirli, Barış. „Fourıer coeffıcıents of a class of ETA quotıents of weıght 20 wıth level 12“. International Journal of Advanced Mathematical Sciences 3, Nr. 2 (02.10.2015): 121. http://dx.doi.org/10.14419/ijams.v3i2.5247.

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<p>Williams and later Yao, Xia and Jin discovered explicit formulas for the coefficients of the Fourier series expansions of a class of eta quotients. Williams expressed all coefficients of 126 eta quotients in terms of σ(n),σ((n/2)),σ((n/3)) and σ((n/6)) and Yao, Xia and Jin, following the method of proof of Williams, expressed only even coefficients of 104 eta quotients in terms of σ₃(n),σ₃((n/2)),σ₃((n/3)) and σ₃((n/6)).Here, we will express the even Fourier coefficients of 570 eta quotients in terms of σ₁₉(n),σ₁₉((n/2)),σ₁₉((n/3)),σ₁₉((n/4)),σ₁₉((n/6)) and σ₁₉((n/(12))).</p>

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25

Dawe-Woodings, Ginny. „Treasures from the Collections“. Bulletin of the Royal College of Surgeons of England 98, Nr. 8 (September 2016): 372. http://dx.doi.org/10.1308/rcsbull.2016.372.

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26

Yang, Xiao-Jun, Pei-Tao Qiu und Gang-Lin Liu. „A new insight on analytical theory of the scaling law heat conduction associated with the Richardson scaling law“. Thermal Science 26, Nr. 2 Part A (2022): 1025–35. http://dx.doi.org/10.2298/tsci2202025y.

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In this article, we propose a new model for the scaling law heat conduction equation associated with the Richardson scaling law. To find the analytical solution for it, we present a scaling law series associated with the Kohlrausch-Williams-Watts function analogous to the Fourier series. The proposed technology is efficient to handle the Richardson scaling law problems in mathematical physics.

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27

Culley, John J., William G. DeLoach und Janet M. Neugebauer. „Plains Farmer: The Diary of William G. DeLoach, 1914-1964: The Clayton Wheat Williams Texas Life Series.“ Journal of Southern History 59, Nr. 4 (November 1993): 784. http://dx.doi.org/10.2307/2210581.

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28

Pirkis, Jane, Dianne Currier, Lay San Too, Marc Bryant, Sara Bartlett, Mark Sinyor und Matthew J. Spittal. „Suicides in Australia following media reports of the death of Robin Williams“. Australian & New Zealand Journal of Psychiatry 54, Nr. 1 (21.11.2019): 99–104. http://dx.doi.org/10.1177/0004867419888297.

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Objective: This study assessed the extent to which local reporting of Robin Williams’ suicide (on 11 August 2014) was associated with suicide in Australia. It followed several studies in the United States which showed that there were significant increases in suicide following media reports of Williams’ death and that those media reports were less than optimal in terms of adherence to best-practice guidelines. In a previous study, we demonstrated that Australian media reports of Williams’ suicide were largely adherent with our Mindframe guidelines on responsible reporting of suicide, so we speculated that there would be no increase in suicide following the reporting of Williams’ suicide in Australia. Method: We extracted data on Australian suicides from the National Coroners Information System for the period 2001 to 2016. We conducted interrupted time series regression analyses to determine whether there were changes in suicides in the 5-month period immediately following Williams’ suicide. Results: Our hypothesis that there would be no increase in suicides in Australia following Williams’ highly publicised suicide was not supported. There was an 11% increase in suicides in the 5-month period following Williams’ death, largely accounted for by men aged 30–64 and by people who died by hanging (the method Williams used). Conclusion: It may be that Australians were exposed to reports that contravened safe reporting recommendations, particularly via overseas media or social media, and/or that some Australian reports may have had unhelpful overarching narratives, despite largely adhering to the Mindframe guidelines. The Mindframe guidelines constitute international best practice but consideration should be given to whether certain recommendations within them should be further reinforced and whether more nuanced information about how stories should be framed could be provided. Future revision and augmentation of the Mindframe guidelines should, as always, involve media professionals.

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29

Chen, Chentong, Zhanfeng Li, Chang Xu, Ze Zhu und Sheng Zou. „Variation of Fracture Toughness with Biaxial Load and T-Stress under Mode I Condition“. Applied Sciences 12, Nr. 18 (16.09.2022): 9319. http://dx.doi.org/10.3390/app12189319.

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The effect of a biaxial load on brittle fractures of solids under predominantly elastic deformation and mode I loading conditions is studied in this article. A cross-shaped specimen is used in this work, and the variation of T-stress is achieved by changing the load applied to the arm parallel to the crack. In the tests, under a series of different loads parallel to the crack, a series of load values perpendicular to the crack are obtained, and the stress intensity factor is calculated by FEM (Finite Element Analysis). The test data demonstrate that the apparent fracture toughness of the material varies with the load parallel to the crack and the T-stress, since the T-stress is directly related to the load parallel to the crack. If only the first term of the Williams series solution is used to describe the stress field near the crack tip, the variation of KC is unexplained; therefore, more than one term in the Williams series solutions is used to develop the theory of biaxial effect on solid fracture behavior. The fracture criterion based on this consideration is also used to predict crack instability or crack curving under mode I load conditions. Experimental data are presented and compared with the theory.

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Williams, Daniel. „The quest for the perfect tint“. Optician 2019, Nr. 1 (Januar 2019): 207467–1. http://dx.doi.org/10.12968/opti.2019.1.207467.

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In the last of our series discussing various aspects of sight loss from the individual's viewpoint, Daniel Williams discusses two very different areas that ultimately influence ability to travel out and about – coping with glare and the loss of a driving licence

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Wei, Xing Chun, Yu Lin Tang und Tao Chen. „Research of Rolling Bearing Fault Feature Extraction Based on EMD and Choi-Williams“. Advanced Materials Research 694-697 (Mai 2013): 1377–81. http://dx.doi.org/10.4028/www.scientific.net/amr.694-697.1377.

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Aiming at rolling bearing fault signal of the non stationary feature, Apply a new method to the rolling bearing vibration signal of feature extraction, which is combined the Empirical Mode Decomposition (EMD) and the Choi-Williams distribution. Firstly, original signals were decomposed into a series of intrinsic mode functions (IMF) of different scales. To the decomposed each IMF component for Choi-Williams time-frequency analysis, Then take the linear superposition, finally obtained the rolling bearing vibration signal of Choi-Williams distribution. After the analyses of the rolling bearing inner ring, outer ring and rolling element fault signal ,the results show that this method can effectively suppress the frequency aliasing and interference caused by cross terms. And be able to accurately extract the fault frequency of the bearing inner ring, outer ring and rolling element, lay the foundation for the subsequent rolling bearing state recognition.

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Joseph, C., M. M. Landru, F. Bdeoui, B. Gogly und S. M. Dridi. „Periodontal conditions in Williams Beuren Syndrome: A series of 8 cases“. European Archives of Paediatric Dentistry 9, Nr. 3 (September 2008): 142–47. http://dx.doi.org/10.1007/bf03262626.

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Barzilai, Shuli. „THE BLUEBEARD BAROMETER: CHARLES DICKENS AND CAPTAIN MURDERER“. Victorian Literature and Culture 32, Nr. 2 (September 2004): 505–24. http://dx.doi.org/10.1017/s1060150304000634.

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“You mustn't marry more than one person at a time, may you, Peggotty?”“Certainly not,” says Peggotty, with the promptest decision.“But if you marry a person, and the person dies, why then you may marry another person, mayn't you, Peggotty?”“You MAY,” says Peggotty, “if you choose, my dear. That's a matter of opinion.”—David Copperfield(1849–50)THE FIRST TIME I HEARD OF CAPTAIN MURDERERwas in the Jerusalem Theater many years ago when the Welsh actor Emlyn Williams (1905–87) gave a reading of scenes from the works of Charles Dickens. Williams's performance was a recreation of the initiative of Dickens himself who, in the late 1850s, took on yet another activity and persona, that of the itinerant player, and began a series of public tours in which he read from his own works. Of all the pieces Williams performed on that occasion, the story of “a certain Captain Murderer” remains most vividly present to memory not only for its eerie atmosphere and plot but especially for its effect on the audience. I can still recall the collective gasp of horror, as well as the outbursts of laughter, that the story's denouement elicited from a captivated company of listeners.

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Williams, Laura. „Case study: Myopia management in practice 1“. Optician 2018, Nr. 5 (Mai 2018): 173584–1. http://dx.doi.org/10.12968/opti.2018.5.173584.

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In the third of three case study features to be published as part of the myopia control series developed with Coopervision UK, Laura Williams shares her experience of treating three children born to a myopic parents using a range of strategies and showing impressive results

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Souchay, J. „New series of rigid and non rigid Earth nutation. Comparison with observations“. Symposium - International Astronomical Union 172 (1996): 239–42. http://dx.doi.org/10.1017/s0074180900127457.

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After analysing the recent developments of the theory of the nutation for a simplified rigid Earth model (Kinoshita and Souchay, 1990) with new corrections and new contributions (Williams, 1994; Souchay and Kinoshita, 1996), we will study the effect of these developments on the calculation of the coefficients of nutation for a non rigid Earth model, based on the transfer function given by Wahr (1979). The relative improvements characterized by the residuals with the observations are explained in the following.

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Yakusheva, Anastasia, Anastasia Sayapina, Lev Luchnikov, Dmitry Arkhipov, Gopalu Karunakaran und Denis Kuznetsov. „Carbon Quantum Dots’ Synthesis with a Strong Chemical Claw for Five Transition Metal Sensing in the Irving–Williams Series“. Nanomaterials 12, Nr. 5 (27.02.2022): 806. http://dx.doi.org/10.3390/nano12050806.

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Carbon quantum dots (CQDs) are an excellent eco-friendly fluorescence material, ideal for various ecological testing systems. Herein, we establish uniform microwave synthesis of the group of carbon quantum dots with specific functionalization of ethylenediamine, diethylenetriamine, and three types of Trilon (A, B and C) with chelate claws -C-NH3. CQDs’ properties were studied and applied in order to sense metal cations in an aquatic environment. The results provide the determination of the fluorescence quench in dots by pollutant salts, which dissociate into double-charged ions. In particular, the chemical interactions with CQDs’ surface in the Irving–Williams series (IWs) via functionalization of the negatively charged surface were ascribed. CQD-En and CQD-Dien demonstrated linear fluorescence quenching in high metal cation concentrations. Further, the formation of claws from Trilon A, Trilon B, and C effectively caught the copper and nickel cations from the solution due to the complexation on CQDs’ surface. Moreover, CQD-Trilon C presented chelating properties of the surface and detected five cations (Cu2+, Ni2+, Ca2+, Mg2+, Zn2+) from 0.5 mg/mL to 1 × 10−7 mg/mL in the Irving–William’s series. Dependence was mathematically attributed as an equation (ML regression model) based on the constant of complex formation. The reliability of the data was 0.993 for the training database.

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Šestáková, Lucie. „Detailed Crack-Tip Stress Field Description in a Specimen Subjected to Mixed-Mode Loading“. Key Engineering Materials 577-578 (September 2013): 317–20. http://dx.doi.org/10.4028/www.scientific.net/kem.577-578.317.

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A mixed-mode cracked configuration is investigated using the multi-parameter fracture mechanics concept based on the analytical description of the stress/displacement field near a crack tip by means of the Williams series expansion. It is shown that using only one (singular) parameter as it is usual for brittle materials is not sufficient if the accurate stress distribution also further from the crack tip shall be known. Tangential stress distribution in various distances from the crack tip is presented and importance of the higher-order terms of the Williams expansion emphasized. Moreover, initial crack propagation direction is investigated by means of the MTS criterion and utilization of its generalized form is discussed.

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De Graaf, Lawrence. „Williams, Ed., The Terrorist Attack On America“. Teaching History: A Journal of Methods 30, Nr. 1 (01.04.2005): 55–56. http://dx.doi.org/10.33043/th.30.1.55-56.

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The destruction of the World Trade Towers by terrorists on September 1 1, 2001, elevated the problem of Islamic terrorism to a central place in United States foreign affairs. It is therefore essential that any course in recent American history or current events cover this topic and the major issues that have grown out of it. This anthology of magazine articles and editorials written in the months immediately following 9/11 is an early effort at doing this in a classroom book. Part of Greenhaven's "Current Controversies" series, it is organized around four questions that in early 2002 seemed to be the leading issues of this subject.

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Storey, Taryn. „Devine Intervention: Collaboration and Conspiracy in the History of the Royal Court“. New Theatre Quarterly 28, Nr. 4 (November 2012): 363–78. http://dx.doi.org/10.1017/s0266464x12000668.

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Taryn Storey believes that a series of letters recently discovered in the archive of the Arts Council of Great Britain (ACGB) makes it important that we reassess the genesis of the English Stage Company at the Royal Court. Dating from November 1952, the correspondence between George Devine and William Emrys Williams, the Secretary General of the ACGB, offers an insight into a professional and personal relationship that was to have a profound influence on the emerging Arts Council policy for drama. Storey makes the case that in 1953 Devine not only shaped his Royal Court proposal to fit the priorities of the ACGB Drama Panel, but that Devine and senior members of the ACGB then collaborated to ensure that the proposal became a key part of Arts Council strategic planning. Furthermore, she puts forward the argument that the relationship between Devine and Williams was instrumental to new writing and innovation becoming central to the future rationale for state subsidy to the theatre. Taryn Storey is a doctoral student at the University of Reading. Her PhD thesis examines the relationship between practice and policy in the development of new writing in post-war British theatre, and forms part of the AHRC-funded project ‘Giving Voice to the Nation: The Arts Council of Great Britain and the Development of Theatre and Performance in Britain 1945–1995’, a collaboration between the University of Reading and the Victoria and Albert Museum.

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Yee, Pamela M. „Towards Narrative Plenitude: Asian Representation in Young Adult Arthurian Fantasy“. Arthuriana 33, Nr. 3 (September 2023): 60–85. http://dx.doi.org/10.1353/art.2023.a910871.

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Abstract: This article examines how two authors of Asian descent tackle the problem of 'narrative scarcity' for marginalized writers in their Young Adult Arthurian texts: Williams' 'The Quay Stone' posits the relationship between colonizer/colonized as akin to domestic abuse, while Chupeco's A Hundred Names for Magic series integrates Eastern and Western myths. (PY)

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Hornsby, Michael. „Colin H. Williams: Linguistic Minorities in Democratic Context (Language and Globalization Series)“. Language Policy 9, Nr. 2 (21.03.2009): 171–73. http://dx.doi.org/10.1007/s10993-009-9135-x.

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Malíková, Lucie, Petr Miarka und Hana Šimonová. „Propagation conditions of an eccentric crack in a semi-circular disk loaded in I+II mixed mode“. MATEC Web of Conferences 310 (2020): 00017. http://dx.doi.org/10.1051/matecconf/202031000017.

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Multi-parameter fracture mechanics concept is applied to investigate crack propagation conditions during a three-point bending (3PB) test performed on an asymmetrical semi-circular disk under I+II mixedmode loading. The asymmetry is represented by an eccentricity of the angled crack as well as by different distances of both supports during the 3PB test from the middle of the specimen. The Williams series expansion is used for the crack-tip stress field approximation and fracture response of the crack is assessed by means of the combination of the numerical and analytical solution. Comparison between the individual configurations is carried out and discussion on the importance of the higher-order terms considered in the Williams expansion for various cases of asymmetry is presented.

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Senthe, Shanthi, und Sujith Xavier. „Introduction: Re-Igniting Critical Race In Canadian Legal Spaces: Introduction To The Special Symposium Issue Of Contemporary Accounts Of Racialization In Canada“. Windsor Yearbook of Access to Justice 31, Nr. 2 (01.10.2013): 1. http://dx.doi.org/10.22329/wyaj.v31i2.4407.

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Osgoode Hall Law School, York University’s Challenging Conventions! Speaker Series organized Re-Igniting Critical Race: A Symposium on Contemporary Accounts of Racialization in Canada on November 2, 2012. The symposium sought to explore critical race theory and its praxis within the Canadian legal academy by inviting emerging scholars and practitioners to engage with the scholarship of Professor Patricia Williams.

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Liu, Guo Qing, Xi Zhang und Qi Bing Lv. „The Realization of Smoothed Pseudo Wigner-Ville Distribution Based on LabVIEW“. Applied Mechanics and Materials 239-240 (Dezember 2012): 1493–96. http://dx.doi.org/10.4028/www.scientific.net/amm.239-240.1493.

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The realization steps on LabVIEW of general SPWVD and one of special SPWVD named Choi-Williams distribution (CWD) were detailed in this paper. Through the comparative analysis, the series of simulation experiments clearly displayed the superiority of smoothed pseudo Wigner-Ville distribution, and also indicated that the programs of SPWVD and CWD based on LabVIEW could be applied in practical.

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Fang, Chang Qing, Hui Yu Sun und Jian Ping Gu. „Fractional Calculus Approach to Relaxation Behavior of Amorphous Shape Memory Polymers“. Advances in Science and Technology 97 (Oktober 2016): 106–11. http://dx.doi.org/10.4028/www.scientific.net/ast.97.106.

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To select an appropriate relaxation kernel function is significant for shape memory polymers (SMPs) in their thermomechanical constitutive models. The relaxation modulus of SMPs are described by fractional-order viscoelastic (FOV) kernel and three other kinds of viscoelastic kernel, that is, Prony series, Kohlrausch-Williams-Watts (KWW) kernel and Cole-Cole Model (CCM) kernel. The data fitting result shows FOV kernel is a valuable tool to describe the relaxation response of SMPs. Compared with Prony series, KWW kernel and CCM kernel, the FOV kernel can give a comparative description of relaxation modulus of SMPs with fewer material parameters.

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Veselý, Václav, Jakub Sobek, Lucie Šestáková und Stanislav Seitl. „Accurate Description of Near-Crack-Tip Fields for the Estimation of Inelastic Zone Extent in Quasi-Brittle Materials“. Key Engineering Materials 525-526 (November 2012): 529–32. http://dx.doi.org/10.4028/www.scientific.net/kem.525-526.529.

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A description of stress and displacement fields by means of the Williams power series using also higher-order terms is the focus of this paper. Coefficients of this series are determined via the over-deterministic method from the results of conventional finite element (FE) analysis. A study is conducted into the selection of the FE node set whose results are processed in this regression technique. Coefficients up to the twelfth term were determined with high precision. The effect of the position of the FE node set on the accuracy of the values of the higher-order term coefficients is reported.

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Hardiman, M. A., J. E. Fairchild und Geoffrey Longworth. „Harwell Radiocarbon Measurements XI“. Radiocarbon 34, Nr. 1 (1992): 47–70. http://dx.doi.org/10.1017/s0033822200013412.

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Following Harwell Measurements VIII (Walker, Williams & Otlet 1990), this is the final series of lists of English archaeological dates commissioned for measurement by the Historic Buildings and Monuments Commission (HBMC) for England within prescribed contractual periods. This list, containing 127 dates, refers to the period April 1988 to March 1990, and results are reported irrespective of whether the associated projects are completed or ongoing.

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Lychak, Oleh V., und Ivan S. Holyns’kiy. „Evaluation of random errors in Williams’ series coefficients obtained with digital image correlation“. Measurement Science and Technology 27, Nr. 3 (25.01.2016): 035203. http://dx.doi.org/10.1088/0957-0233/27/3/035203.

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Gudkov, Maksim M. „Tennessee Williams in Soviet Criticism of the 1940–1960s“. Literature of the Americas, Nr. 10 (2021): 163–206. http://dx.doi.org/10.22455/2541-7894-2021-10-163-206.

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The article attempts to present the reception of the plays by Tennessee Williams in Soviet criticism of the 1940s and 1960s to show the dynamics of changing opinions and assessments by Soviet literary and theater critics. In the late Stalinist years Soviet researchers (Michael Morozov, Veniamin Golant, Anna Elistratova, Vadim Gaevsky) were least engaged in the literary analysis of his plays, which they considered exclusively through the lens of ideology and politics. Critical judgments were reduced to a series of offensive comments on the “inferiority” of the “ideologically alien” playwright. During the Khrushchev Thaw the ideologically bound criticism were being gradually softened, its clichees being no longer relevant. There appeared articles by Georgy Zlobin, Moris Mendelson, Raisa Orlova, Vladich Nedelin, etc., that aimed to understand Williams’ peculiar and unique creative method. The analysis of the reception of Williams’ work by Soviet critics in 1940–1960s demonstrates that the recognition of the American playwright’s talent or, conversely, harsh language used against him was directly related to the political situation in the USSR and the United States, as well as to the Soviet-American relations in the realm of politics and cultural ties. As soon as the rigid ideological pressure of the state machine was relieved to some extent, Soviet critics followed the criteria of objectivity and literary taste. The study is supplemented by the bibliographic index of Soviet criticism of Tennessee Williams works, 1947–1969. The addendum is an attempt to create a complete bibliography of Soviet critical articles about Tennessee Williams’s work published in the 1940–60s.

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Smith, Renée M. „Error Correction, Attractors, and Cointegration: Substantive and Methodological Issues“. Political Analysis 4 (1992): 249–54. http://dx.doi.org/10.1093/pan/4.1.249.

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I am pleased to participate in this symposium because I agree that mutual criticism of our theories and of the methods used to test them helps to make social science objective and rational (Popper 1976). Space limitations preclude me from responding to all of the comments and suggestions of Beck and Williams (in this volume), but my interpretation of their key points is as follows: (1) estimating multiequation error correction models (ECMs) is unnecessary either because many theories provide us with exogeneity restrictions that imply single equation ECMs (Beck) or because statistical inference is unaffected by integration and cointegration in vector autoregressive systems (Williams); (2) using OLS in one step to estimate a single equation ECM is statistically superior to using the Engle-Granger two-step estimator (Beck); (3) commonly used classical hypothesis tests for nonstationarity favor the null hypothesis of a unit root, and therefore cannot be believed, but Bayesian inference with a flat prior solves this and other problems of inference (Williams); and (4) presidential approval is neither statistically nor conceptually an integrated random walk, but is either long memoried (Beck) or stationary (Williams). These are thought-provoking comments, and to one of them I will reply mea culpa. However, some of them need to be qualified, and others are incorrect. I begin by responding to comments (1) and (2) assuming that two or more time-series are integrated and cointegrated and then address comments (3) and (4), which question assumptions of and tests for integration and cointegration.

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