Relevant bibliographies by topics / Linearly Elastic Analysis

Academic literature on the topic 'Linearly Elastic Analysis'

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Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Linearly Elastic Analysis"

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Miara, B., and E. Sanchez-Palencia. "Asymptotic analysis of linearly elastic shells." Asymptotic Analysis 12, no. 1 (1996): 41–54. http://dx.doi.org/10.3233/asy-1996-12103.

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Ciarlet, Philippe G. "Mathematical modelling of linearly elastic shells." Acta Numerica 10 (May 2001): 103–214. http://dx.doi.org/10.1017/s0962492901000022.

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The objective of this article is to lay down the proper mathematical foundations of the two-dimensional theory of linearly elastic shells. To this end, it provides, without any recourse to any a priori assumptions of a geometrical or mechanical nature, a mathematical justification of two-dimensional linear shell theories, by means of asymptotic methods, with the thickness as the ‘small’ parameter.A major virtue of this approach is that it naturally leads to precise mathematical definitions of linearly elastic ‘membrane’ and ‘flexural’ shells. Another noteworthy feature is that it highlights in particular the role played by two fundamental tensors, each associated with a displacement field of the middle surface, the linearized change of metric and linearized change of curvature tensors.More specifically, under fundamentally distinct sets of assumptions bearing on the geometry of the middle surface, on the boundary conditions, and on the order of magnitude of the applied forces, it is shown that the three-dimensional displacements, once properly scaled, converge (in H1, or in L2, or in ad hoc completions) as the thickness approaches zero towards a ‘two-dimensional’ limit that satisfies either the linear two-dimensional equations of a ‘membrane’ shell (themselves divided into two subclasses) or the linear two-dimensional equations of a ‘flexural’ shell. Note that this asymptotic analysis automatically provides in each case the ‘limit’ two-dimensional equations, together with the function space over which they are well-posed.The linear two-dimensional shell equations that are most commonly used in numerical simulations, namely Koiter's equations, Naghdi's equations, and ‘shallow’ shell equations, are then carefully described, mathematically analysed, and likewise justified by means of asymptotic analyses.The existence and uniqueness of solutions to each one of these linear two-dimensional shell equations are also established by means of crucial inequalities of Korn's type on surfaces, which are proved in detail at the beginning of the article.This article serves as a mathematical basis for the numerically oriented companion article by Dominique Chapelle, also in this issue of Acta Numerica.
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Kounadis, A. N., and J. G. Mallis. "Elastica type buckling analysis of bars from non-linearly elastic material." International Journal of Non-Linear Mechanics 22, no. 2 (January 1987): 99–107. http://dx.doi.org/10.1016/0020-7462(87)90013-8.

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Poon, B., D. Rittel, and G. Ravichandran. "An analysis of nanoindentation in linearly elastic solids." International Journal of Solids and Structures 45, no. 24 (December 2008): 6018–33. http://dx.doi.org/10.1016/j.ijsolstr.2008.07.021.

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Ciarlet, Philippe G., and V�ronique Lods. "Asymptotic analysis of linearly elastic shells: ?Generalized membrane shells?" Journal of Elasticity 43, no. 2 (May 1996): 147–88. http://dx.doi.org/10.1007/bf00042508.

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Maso, Gianni Dal, Antonio DeSimone, and Maria Giovanna Mora. "Quasistatic Evolution Problems for Linearly Elastic–Perfectly Plastic Materials." Archive for Rational Mechanics and Analysis 180, no. 2 (February 6, 2006): 237–91. http://dx.doi.org/10.1007/s00205-005-0407-0.

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Renardy, M., and D. L. Russell. "Formability of Linearly Elastic Structures with Volume-Type Actuation." Archive for Rational Mechanics and Analysis 149, no. 2 (October 1, 1999): 97–122. http://dx.doi.org/10.1007/s002050050169.

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Auricchio, Ferdinando, Carlo Lovadina, and Alexandre L. Madureira. "An asymptotically optimal model for isotropic heterogeneous linearly elastic plates." ESAIM: Mathematical Modelling and Numerical Analysis 38, no. 5 (September 2004): 877–97. http://dx.doi.org/10.1051/m2an:2004042.

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SABU, N. "ASYMPTOTIC ANALYSIS OF LINEARLY ELASTIC SHALLOW SHELLS WITH VARIABLE THICKNESS." Chinese Annals of Mathematics 22, no. 04 (October 2001): 405–16. http://dx.doi.org/10.1142/s0252959901000401.

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Sun, Jun-Yi, Qi Zhang, Xue Li, and Xiao-Ting He. "Axisymmetric Large Deflection Elastic Analysis of Hollow Annular Membranes under Transverse Uniform Loading." Symmetry 13, no. 10 (September 23, 2021): 1770. http://dx.doi.org/10.3390/sym13101770.

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The anticipated use of a hollow linearly elastic annular membrane for designing elastic shells has provided an impetus for this paper to investigate the large deflection geometrically nonlinear phenomena of such a hollow linearly elastic annular membrane under transverse uniform loads. The so-called hollow annular membranes differ from the traditional annular membranes available in the literature only in that the former has the inner edge attached to a movable but weightless rigid concentric circular ring while the latter has the inner edge attached to a movable but weightless rigid concentric circular plate. The hollow annular membranes remove the transverse uniform loads distributed on “circular plate” due to the use of “circular ring” and result in a reduction in elastic response. In this paper, the large deflection geometrically nonlinear problem of an initially flat, peripherally fixed, linearly elastic, transversely uniformly loaded hollow annular membrane is formulated, the problem formulated is solved by using power series method, and its closed-form solution is presented for the first time. The convergence and effectiveness of the closed-form solution presented are investigated numerically. A comparison between closed-form solutions for hollow and traditional annular membranes under the same conditions is conducted, to reveal the difference in elastic response, as well as the influence of different closed-form solutions on the anticipated use for designing elastic shells.
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Dissertations / Theses on the topic "Linearly Elastic Analysis"

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Lee, J. Xiang (James Xiang) Carleton University Dissertation Engineering Mechanical. "Vibration analysis of linearly elastic non-conservative systems using integral equations." Ottawa, 1991.

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Phạm, Phú Tinh [Verfasser]. "Upper bound limit and shakedown analysis of elastic-plastic bounded linearly kinematic hardening structures / Phu Tinh Pham." Aachen : Hochschulbibliothek der Rheinisch-Westfälischen Technischen Hochschule Aachen, 2011. http://d-nb.info/1018189491/34.

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Unal, Orhan. "3-d Soil Structure Interaction Analyses Of Three Identical Buildings In Sakarya City After 17 August 1999 Kocaeli Earthquake." Master's thesis, METU, 2003. http://etd.lib.metu.edu.tr/upload/1053362/index.pdf.

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ABSTRACT 3-D SOIL STRUCTURE INTERACTION ANALYSES OF THREE IDENTICAL BUILDINGS IN SAKARYA CITY AFTER 17 AUGUST 1999 KOCAELI EARTHQUAKE Ü
nal,Orhan M.S., Department of Civil Engineering, Supervisor: Assist. Prof. Dr Kemal Ö
nder Ç
etin October 2003, 116 Pages The aim of this study is to analyze the soil structure interaction of three identical buildings on ª
ahinler Street of Sakarya city which had no damage to heavy damage after the Kocaeli (1999) earthquake. For the purpose of 3-D dynamic nonlinear analysis of the soil site and the overlying structures, Flac3D software was chosen as the numerical modeling framework. Soil properties were determined by using the results of available site investigation studies. A three dimensional mesh was created to represent the topographic and geometric constraints of the problem. Linearly elastic perfectly plastic constitutive model was implemented to model the soil behavior. The results of 3-D dynamic numerical analyses in the forms of acceleration, displacement, strain, stress and pore pressure were presented. The higher acceleration, strain and stress levels calculated under the collapsed building can be attributed as the major cause of poor performance of the structure.
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AZEGAMI, Hideyuki, and Zhi Chang WU. "Domain Optimization Analysis in Linear Elastic Problems (Approach Using Traction Method)." 日本機械学会, 1996. http://hdl.handle.net/2237/12156.

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SEREBRENICK, GUSTAVO. "STABILITY ANALYSIS OF SLENDER COLUMNS PARTIALLY BURIED IN A NON-LINEAR ELASTIC FOUNDATION." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2004. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=6168@1.

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COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR
O presente trabalho tem por objetivo estudar o comportamento de colunas esbeltas parcialmente enterradas, quando submetidas a um carregamento axial de compressão. A fundação é representada, ora por um modelo linear, o qual considera que a reação exercida pelo solo é proporcional às deflexões da coluna, ora por um modelo não-linear no qual esta relação de proporcionalidade não é mais verificada. Para a modelagem da coluna, é usada a teoria inextensional de barras esbeltas. Inicialmente, mostra-se como são deduzidas as equações diferenciais do problema a partir dos funcionais de energia da coluna. No problema linear, buscam-se obter as cargas críticas e modos críticos da coluna. Neste caso, sua solução analítica é encontrada a partir da resolução do problema de valor de contorno usando-se um programa de álgebra simbólica. Também é obtida uma solução aproximada através do método de Ritz. Um estudo paramétrico detalhado analisa a influência das condições de apoio da coluna e altura e rigidez da fundação na carga e modo críticos. Entretanto, no caso nãolinear, as equações diferenciais são mais complexas, não permitindo a obtenção de uma solução analítica. É utilizado, então, o método de Ritz, no qual as soluções analíticas obtidas para o problema linear (autofunções) são usadas como funções de interpolação. Em seguida, chega-se à uma equação não- linear de equilíbrio, da qual se obtém o caminho pós-crítico da coluna. Os resultados do problema nãolinear são comparados com os obtidos através do método dos elementos finitos.
In this thesis the behavior of slender, partially embedded columns under axial compressive forces is studied. The foundation is either represented by a linear model, which considers that the soil reaction is proportional to the column’s deflections or by a non-linear model in which this proportionality relation is not observed. The inextensional slender beam theory is used to model the column. Initially, the governing differential equations are deduced from the energy functional of the column-foundation system. In the linear problem, the critical loads and corresponding critical modes are looked for. In this case, an analytic solution is obtained by the solution of the associated boundary value problem, using a symbolic algebra software. An approximate solution is also found by Ritz’s method. A parametric study is conducted to study the influence of the column boundary conditions and foundation’s height and stiffness on critical loads and modes. However, in the non-linear case, differential equations are much more complex and an analytical solution is not possible. So, the Ritz’s method is used once again, in which the analytic solutions of the linear problem (eigenfunctions) are used as interpolation functions. After that, a non-linear equilibrium equation is obtained together with the column post-buckling path. These results are compared with the ones obtained using the finite element method.
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Esmen, Ekrem Alp 1977. "Three-dimensional mixed mode linear elastic fracture mechanics analysis using domain interaction integrals." Thesis, Massachusetts Institute of Technology, 2004. http://hdl.handle.net/1721.1/28377.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2004.
Includes bibliographical references (p. 109-111).
Three-dimensional mixed-mode linear elastic fracture mechanics analysis is presented using domain interaction integrals. An out-of-plane sinusoidal crack was analyzed using a commercially available finite element package to extract the stress intensity factors and the J-Integral. The results were then compared with those obtained from crack face relative displacements as a post-processing step. The model has been tested on various geometries and the performance of focused and non-focused meshing algorithms are compared. The behavior of the stress intensity factors under far-field K-load for growing surface roughness in the form of a sinusoidal crack have been modelled as a cosine series.
by Ekrem Alp Esmen.
S.M.
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Kendrick, John Thomas. "Design of High-Performance, Dual-Motor Liquid-Cooled, Linear Series Elastic Actuators for a Self-Balancing Exoskeleton." Thesis, Virginia Tech, 2018. http://hdl.handle.net/10919/83236.

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As a valuable asset in human augmentation and medical rehabilitation, exoskeletons have become a major area for research and development. They have shown themselves to be effective tools for training and rehabilitation of individuals suffering from limited mobility. However, most exoskeletons are not capable of balancing without the assistance of crutches from the user. Leveraging technology and techniques developed for force controlled humanoid robots, a project was undertaken to develop a fully self-balancing, compliant lower-body robotic exoskeleton. Due to their many beneficial features, series elastic actuators were utilized to power the joints on the exoskeleton. This thesis details the development of four linear series elastic actuators (LSEA) as part of this project. All 12-degrees of freedom will be powered by one of these four LSEA's. Actuator requirements were developed by examining human gait data and three robot-walking simulations. These four walking scenarios were synthesized into one set of power requirements for actuator development. Using these requirements, analytical models were developed to perform component trade studies and predict the performance of the actuator. These actuators utilize high-efficacy components, parallel electric motors, and liquid cooling to attain high power-to-weight ratios, while maintaining a small lightweight design. These analyses and trade studies have resulted in the design of a dual-motor liquid-cooled actuator capable of producing a peak force 8500N with a maximum travel speed of 0.267m/s, and three different single-motor actuators capable of producing forces up to 2450N continuously, with a maximum travel speeds up to 0.767m/s.
Master of Science
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Schwarzer, Norbert, and Peggy Heuer-Schwarzer. "Qualitative failure analysis on laminate structures of windsurfing boards using analytical linear elastic modelling." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200600107.

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Recently developed mathematical tools for the modelling of contact problems on thin film structures are adapted to allow the investigation of arbitrarily mixed purely isotropic and transversally isotropic laminate structures. The new tool is applied to model a variety of load problems resulting in the failure of windsurfing boards consisting of a relatively thin laminate shell and a soft polymer foam core. It is shown that local impact and distributed bending loads due to “bad landing” after high jumps or contact with parts of the sailing gear (the so called rig) especially the front part of the boom are leading to the most critical stress distributions resulting in failure. So most of the investigated boards were damaged because the rider (windsurfer) landed flat and thus produced a sudden impact force under his feet (impact defect). Other overloading occurred due to overturning of so called loop movements or the landing of the board exactly on respectively between two waves and this way producing high bending moments. Some of those typical loads are analysed in detail and the stresses occurring in the complex structure of the windsurfing boards are evaluated.
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Bellinger, Nicholas C. (Nicholas Charles) Carleton University Dissertation Engineering Mechanical. "Linear elastic fracture mechanics analysis of flat oval Bourdon tubes using finite element methods." Ottawa, 1987.

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Ozen, Onder Garip. "Comparison Of Elastic And Inelastic Behavior Of Historic Masonry Structures At The Low Load Levels." Master's thesis, METU, 2006. http://etd.lib.metu.edu.tr/upload/12608248/index.pdf.

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Conventional methods used in the structural analysis are usually insufficient for the analysis of historical structures because of the complex geometry and heterogeneous material properties of the structure. Today&rsquo
s computing facilities and methods make FEM the most suitable analysis method for complex structural geometry and heterogeneous material properties. Even the shrinkage, creep of the material can be considered in the analysis. Because of this reason Finite Element Method (FEM) is used to analyze such structures. FEM converts the structure into finite number of elements with specific degree of freedoms and analyses the structure by using matrix algebra. However, advanced FEM methods considering the inelastic and time dependent behavior of material is a very complex and difficult task and consumes considerable time. Because of this reason, to analyze every historical structure is not feasible by applying advanced inelastic FEM, whereas elastic FEM analysis at low load levels is very helpful in understanding the behavior of the structure.The analysis of a masonry gate in the historical city, Hasankeyf is the case study of this thesis. Different common software are used in FEM to compare the stresses, deformations, modal shapes etc. of the same structure. Besides the inelastic behavior of the structure is investigated and compared with the elastic behavior of the structure. The study is intended to show that at the low load levels elastic FEM analysis is sufficient to understand the response of the structure and is preferable to the inelastic FEM analysis unless a very complex analysis is required
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Books on the topic "Linearly Elastic Analysis"

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Nayfeh, Ali Hasan. Linear and nonlinear structural mechanics. Hoboken, N.J: Wiley-Interscience, 2004.

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Ivanova, Jordanka. Geometric method for stability of non-linear elastic thin shells. Boston: Kluwer Academic Publishers, 2002.

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Franco, Pastrone, ed. Geometric method for stability of non-linear elastic thin shells. Boston: Kluwer Academic Publishers, 2002.

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Barczak, Thomas M. Assessment of longwall roof behavior and support loading by linear elastic modeling of the support structure. Pittsburgh, Pa: U.S. Dept. of the Interior, Bureau of Mines, 1987.

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Non-linear theory of elasticity and optimal design: How to build safe economical machines and structures : how to build proven reliable physical theory. Amsterdam: Elsevier, 2003.

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Ivanova, Jordanka, and Franco Pastrone. Geometric Method for Stability of Non-Linear Elastic Thin Shells. Springer London, Limited, 2013.

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Ivanova, Jordanka, and Franco Pastrone. Geometric Method for Stability of Non-Linear Elastic Thin Shells. Springer, 2014.

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Bažant, Zdenek P., Jia-Liang Le, and Marco Salviato. Quasibrittle Fracture Mechanics and Size Effect. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780192846242.001.0001.

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Many modern engineering structures are composed of brittle heterogenous (a.k.a. quasibrittle) materials. These materials include concrete (an archetype), composites, tough ceramics, rocks, cold asphalt mixtures, and many brittle materials at the microscale. Understanding the failure behavior of these materials is of paramount importance for improving the resilience and sustainability of various engineering structures including civil infrastructure, aircraft, ships, military armors, and microelectronic devices. This book provides a comprehensive treatment of quasibrittle fracture mechanics. It first presents a concise but rigorous and complete treatment of the linear elastic fracture mechanics, which is the foundation of all fracture mechanics. The topics covered include energy balance analysis of fracture, analysis of near-tip field and stress intensity factors, Irwin's relationship, J-integral, calculation of compliance function and deflection, and analysis of interfacial crack. Built upon the content of linear elastic fracture mechanics, the book presents various fundamental concepts of nonlinear fracture mechanics, which include estimation of inelastic zone size, cohesive crack model, equivalent linear elastic fracture mechanics model, R-curve, and crack band model. The book also discusses some more advanced concepts such as the effects of the triaxial stress state in the fracture process zone, nonlocal continuum models, and discrete computational model. The significant part of the book is devoted to the discussion of the energetic and statistical size effects, which is a salient feature of quasibrittle fracture. The book also presents probabilistic fracture mechanics, and its consequent reliability-based structural analysis and design of quasibrittle structures. Finally, the book provides an extensive review of various practical applications of quasibrittle fracture mechanics.
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1943-, Meyer Christian, and American Society of Civil Engineers. Structural Division. Task Committee on Finite Element Idealization., eds. Finite element idealization for linear elastic, static, and dynamic analysis of structures in engineering practice. New York, N.Y: The Society, 1987.

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Book chapters on the topic "Linearly Elastic Analysis"

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Ciarlet, Philippe G. "Mathematical Modeling and Numerical Analysis of Linearly Elastic Shells." In Proceedings of the International Congress of Mathematicians, 1420–28. Basel: Birkhäuser Basel, 1995. http://dx.doi.org/10.1007/978-3-0348-9078-6_138.

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Krishnamachari, S. I. "Applications of Linear Elastic Behavior." In Applied Stress Analysis of Plastics, 63–144. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4615-3110-4_2.

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Gupta, O. P. "Elastic Stress analysis using Linear Elements." In Finite and Boundary Element Methods in Engineering, 22–79. London: Routledge, 2022. http://dx.doi.org/10.1201/9780203756041-2.

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Tribikram, Kundu. "Mechanics of Elastic Waves – Linear Analysis." In Mechanics of Elastic Waves and Ultrasonic Nondestructive Evaluation, 1–112. First edition. | Boca Raton, FL : CRC Press/Taylor & Francis Group, 2018.: CRC Press, 2019. http://dx.doi.org/10.1201/9781138035942-1.

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McMeeking, R. M., and C. L. Hom. "Finite element analysis of void growth in elastic-plastic materials." In Non-Linear Fracture, 1–19. Dordrecht: Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-017-2444-9_1.

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Zywicz, E., and D. M. Parks. "Elastic-plastic analysis of frictionless contact at interfacial crack tips." In Non-Linear Fracture, 129–43. Dordrecht: Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-017-2444-9_9.

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Zehnder, Alan T. "Linear Elastic Stress Analysis of 2D Cracks." In Fracture Mechanics, 7–32. Dordrecht: Springer Netherlands, 2012. http://dx.doi.org/10.1007/978-94-007-2595-9_2.

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Byskov, Esben. "Linear Elastic Finite Element Analysis of Torsion." In Solid Mechanics and Its Applications, 499–504. Dordrecht: Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-5766-0_28.

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Silva, Fernando A. N., Bernardo Horowitz, João M. P. Q. Delgado, and António C. Azevedo. "Two-Dimensional Linear Elastic Analyses—Slice Method." In Design of Reinforced Concrete Silo Groups, 13–33. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-13621-5_3.

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Andrianopoulos, N. P., V. M. Manolopoulos, and V. C. Boulougouris. "Failure Surfaces in Ductile Non Linear Elastic Materials." In Experimental Analysis of Nano and Engineering Materials and Structures, 153–54. Dordrecht: Springer Netherlands, 2007. http://dx.doi.org/10.1007/978-1-4020-6239-1_75.

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Conference papers on the topic "Linearly Elastic Analysis"

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Xiaoqin, Shen, and Li Kaitai. "A new asymptotic analysis method for linearly elastic shell." In 2011 International Conference on Consumer Electronics, Communications and Networks (CECNet). IEEE, 2011. http://dx.doi.org/10.1109/cecnet.2011.5768439.

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Poon, B., D. Rittel, and G. Ravichandran. "A Reexamination of the Extraction of Material Properties Using Nanoindentation." In ASME 2008 9th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2008. http://dx.doi.org/10.1115/esda2008-59413.

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The paper reexamines the extraction of material properties using nanoindentation for linearly elastic and elastic-plastic materials. The paper considers indentation performed using a rigid conical indenter, as follows. Linearly elastic solids: The reduction of nanoindentation test data of elastic solids is usually processed using Sneddon’s relation [1], which assumes a linearly elastic infinite half space and an infinitely sharp indenter tip. These assumptions are violated in practical indentation experiments. Since most of the research on the extraction of material properties relies heavily on numerical simulations, we used them to investigate the specimen dimensions required for it to qualify as an infinite body, and the indentation conditions for finite tip radius effect to be negligible. The outcome of this part is firstly, the definition of a “converged” 2D geometry so that additional magnification of the numerical model does not influence the load-displacement curve, and secondly, an explicit relationship between the measured load and displacement that takes into account the finite tip radius. Elastic-plastic solids: Here, the main data reduction technique was proposed by Pharr et al. [2], assuming elastic unloading of a plastic nanoindentation. We investigated the effects of finite tip radius in elastic-plastic indentations and found that the accuracy of the prediction is currently limited by the accurate determination of the projected contact area. This point will be discussed and a new experimental technique to measure the projected contact area will be proposed. The Poisson’s ratio effect in elastic-plastic indentations is found to be different from the linearly elastic case. This leads to the discussion on the applicability of the correction factor (for Poisson’s ratio effect) derived in linear elastic indentations, on elastic-plastic indentations. Finally, a technique to obtain an upper bound estimate of the yield stress for the indented elastic-plastic material (which is an exact estimation for non-hardening materials), will be presented.
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Ugˇurlu, Bahadir, and Ahmet Ergin. "A Boundary Element Method for Dynamic Analysis of Elastic Structures Subjected to Axial Flow." In 25th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2006. http://dx.doi.org/10.1115/omae2006-92418.

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A boundary element method is presented to investigate the dynamic behavior of elastic structures partially or completely in contact with uniform axial flow. In the analysis of the linear fluid-structure interaction problem, it is assumed that the fluid is ideal and its motion is irrotational. Furthermore, the elastic structure is assumed to vibrate in relatively high-frequencies, so the infinite frequency limit condition is imposed for fluid free surface, which is satisfied implicitly by using method of images. When in contact with the flowing fluid, the structure is assumed to vibrate in its in vacuo eigen-modes that are obtained by using a finite element software. The wetted surface of the structure is idealized by using appropriate hydrodynamic panels and a boundary element method is formulated for velocity potential function, which is taken as linearly varying over the panels. Using the Bernoulli’s equation, the dynamic fluid pressure on the elastic structure is expressed in terms of potential function, and the fluid-structure interaction forces are calculated as generalized added mass, hydrodynamic damping and hydrodynamic stiffness coefficients, due to the inertia, Coriolis and centrifugal effects of fluid, respectively. Solution of the eigenvalue problem associated with the generalized equation of motion gives the dynamic characteristics of the structure in contact with fluid. As an application of the method, the dynamics of a simply supported cylindrical shell subjected to internal flow is studied. The predictions compare quite well with the previous results in the literature.
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Hübel, Hartwig, Adrian Willuweit, Jürgen Rudolph, Rainer Ziegler, Hermann Lang, Klemens Rother, and Simon Deller. "Performance Study of the Simplified Theory of Plastic Zones for the Fatigue Check." In ASME 2013 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/pvp2013-97137.

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As elastic-plastic fatigue analyses are still time consuming the simplified elastic-plastic analysis (e.g. ASME Section III, NB 3228.5, the French RCC-M code, paragraphs B 3234.3, B 3234.5 and B3234.6 and the German KTA rule 3201.2, paragraph 7.8.4) is often applied. Besides linearly elastic analyses and factorial plasticity correction (Ke-factors) direct methods are an option. In fact, calculation effort and accuracy of results are growing in the following graded scheme: a) linearly elastic analysis along with Ke correction, b) direct methods for the determination of stabilized elastic-plastic strain ranges and c) incremental elastic-plastic methods for the determination of stabilized elastic-plastic strain ranges. The paper concentrates on option b) by substantiating the practical applicability of the simplified theory of plastic zones STPZ (based on Zarka’s method). Application relevant aspects are particularly addressed. Furthermore, the applicability of the STPZ for arbitrary load time histories in connection with an appropriate cycle counting method is discussed. Note, that the STPZ is applicable both for the determination of (fatigue relevant) elastic-plastic strain ranges and (ratcheting relevant) locally accumulated strains. This paper concentrates on the performance of the method in terms of the determination of elastic-plastic strain ranges and fatigue usage factors. The additional performance in terms of locally accumulated strains and ratcheting will be discussed in a future publication.
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Huang, Shusen, and Xin Zhang. "An Analysis of Elastic Deformation Induced by Gradient Residual Stresses in Multilayered MEMS Structures." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-81383.

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This paper presents an elastic analysis of a multilayered system due to the gradient residual stresses. Given the residual strain distribution, the elastic deformation of a multilayered structure can be determined using the derived general solution. Bimaterial cantilevers are widely used as sensing and actuation components in MEMS devices. Assuming the residual strain in each layer of such a bimaterial cantilever is linearly distributed, the error induced by evaluating its curvature without the gradient item is studied. The distributions of normalized deformation strain and real strain in a bilayered cantilever is also given. The positions of deformation plane and neutral plane in that cantilever as well in three more cases are summarized. The presented results in this paper shows that missing the gradient residual stress in multilayered systems may lead to serious misunderstanding of the deformation, and therefore, the model built in this paper may help in the development of multilayered structures in MEMS devices.
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Yakkala, Viswanath, Suhail Ahmad, Puneet Mahajan, and Pankaj Pankaj. "Static Analysis and Strength Reliability of Human Femur Bone." In ASME 2014 12th Biennial Conference on Engineering Systems Design and Analysis. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/esda2014-20428.

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The neck portion of the human femur is the most vulnerable region to attract stress-induced fractures. The loads of the human body act on the hip joint and on the greater trochanter region through abductor muscles. The bone is a natural composite and a good example of functionally graded material (FGM). This study considers a probabilistic finite element approach to assess the critical stresses in the femur under static loads. Material properties assigned to the bone model are linearly elastic, isotropic and orthotropic. Material characterization in terms of bone density is established by Computed Tomography (CT) data. The strength reliability and safety margin are obtained using relevant limit state function. Sensitivity analysis with respect to random parameters provides basis for a possible implant material characterization.
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Joodi, Pirooz M. H. "Simplified Thermal Analysis for Embedded Piping." In ASME 1992 International Computers in Engineering Conference and Exposition. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/cie1992-0101.

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Abstract The growing use of tubular structures in nuclear reactor facilities such as pipes, conduits and ducts that are buried underground, requires more detailed stress analysis to demonstrate structural integrity as required by Section III of the Boiler Pressure Vessel Code and other applicable industry codes. Thermal behavior of the pipe and soil interference can be conservatively evaluated by implementing the thermal characteristics and properties of the pipe into the expressions, as deduced by previous studies, which are made for the seismic analysis of buried piping. This paper presents procedures to evaluate the different pipe/soil parameters to be applied in those expressions, and explains these equations from designers perspectives and, finally, suggests an approach to combine various pipe stresses to check against ASME Boiler and Pressure Vessel Code Section III. The analysis assumes that the soil is linearly elastic and homogenous and the structure is a straight slender solid or hollow beam with a uniform, symmetrical cross section that satisfies the conditions of the elementary theory of beams on elastic foundations.
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Olagunju, David O. "On Short Wave Elastic Instabilities in Parallel Plate Flow." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-0491.

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Abstract The purely elastic instability of torsional flow a viscoelastic fluid confined between two coaxial parallel plates is considered. This problem is analyzed in the limit of small aspect ratio α = h/a, and zero Reynolds number where h is the plate separation and a is the plate radius. In this limit we derive a set of equations which can be solved analytically for the Oldroyd-B model. Our analysis shows that stability is controlled by a local elasticity number ε≡rλ2ϖ2/α, where r is the local radius, γ is the relaxation time and ϖ is the constant rotation rate. For ε less than some critical value εc the flow is linearly stable. As ε increases past this critical value the flow loses stability to a time dependent oscillatory mode. The most dangerous mode has a short wave length of the order O(α). Our results are in good agreement with those of Oztekin and Brown (1993) and Byars et al. (1994). A criterion to ensure stability to infinitesimal disturbances is proposed.
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Reiss, Robert, Bo Qian, and Win Aung. "Eigenvalues for Moderately Damped Linear Systems Determined by Eigensensitivity Analysis." In ASME 1990 Design Technical Conferences. American Society of Mechanical Engineers, 1990. http://dx.doi.org/10.1115/detc1990-0079.

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Abstract A new method is presented to determine approximate closed-form solutions for the complex-valued frequencies of moderately damped linearly elastic structures. The approach is equally applicable to finite degree of freedom systems and distributed parameter systems. The damping operator is split into two components, the first of which uncouples the quadratic eigenvalue equation, and the eigenvalues are expressed as a power series in the second component of the damping operator. Specific numerical examples include both finite degree of freedom and distributed parameter systems. It is shown that for moderate damping, that is, when the second component of the damping operator is small, but not negligible, the series solution truncated after quadratic terms provides an excellent approximation to the true eigenvalues.
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Peek, Ralf, and Heedo Yun. "Scaling of Solutions for the Lateral Buckling of Elastic-Plastic Pipelines." In ASME 2004 23rd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2004. http://dx.doi.org/10.1115/omae2004-51054.

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Analytical solutions for the lateral buckling of pipelines exist for the case when the pipe material remains in the linearly elastic range. However for truly high temperatures and/or heavier flowlines, plastic deformation cannot be excluded. One then has to resort to finite element analyses, as no analytical solutions are available. This paper does not provide such an analytical solution, but it does show that if the finite element solution has been calculated once, then that solution can be scaled so that it applies for any other values of the design parameters. Thus the finite element solution need only be calculated once and for all. Thereafter, other solutions can be calculated by scaling the finite element solution using simple analytical formulae. The only significant limitation is that the shape of the moment-curvature relation must not change. I.e. the moment-curvature relation for the problem to be solved must be a scaled version of the moment-curvature relation for the reference problem, where different scale factors may be applied to the moment and curvature. This paper goes beyond standard dimensional analysis (as justified by the Bucklingham Π theorem), to establish a stronger scalability result, and uses it to develop simple formulae for the lateral buckling of any pipeline made of elastic-plastic material. The paper includes the derivation of the scaling result, the application procedure, the reference solution for an elastic-perfectly plastic pipe, and an example to illustrate how this reference solution can be used to calculate the lateral buckling response for any elastic-perfectly plastic pipe.
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Reports on the topic "Linearly Elastic Analysis"

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Salveson, M. W. Painter Street Overcrossing: Linear-elastic finite element dynamic analysis. Office of Scientific and Technical Information (OSTI), August 1991. http://dx.doi.org/10.2172/5123335.

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COLD FORMED STEEL SHEAR WALL RACKING ANALYSIS THROUGH A MECHANISTIC APPROACH: CFS-RAMA. The Hong Kong Institute of Steel Construction, September 2022. http://dx.doi.org/10.18057/ijasc.2022.18.3.2.

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Cold-formed steel shear wall panels are an effective lateral load resisting system in cold-formed steel or light gauge constructions. The behavior of these panels is governed by the interaction of the sheathing - frame fasteners and the sheathing itself. Therefore, analysis of these panels for an applied lateral load (monotonic/cyclic) is complex due to the inherent non-linearity that exists in the fastener-sheathing interaction. This paper presents a novel and efficient, fastener based mechanistic approach that can reliably predict the response of cold-formed steel wall panels for an applied monotonic lateral load. The approach is purely mechanistic, alleviating the modelling complexity, computational costs and convergence issues which is generally confronted in finite element models. The computational time savings are in the order of seven when compared to the finite element counterparts. Albeit its simplicity, it gives a good insight into the component level forces such as on studs, tracks and individual fasteners for post-processing and performance-based seismic design at large. The present approach is incorporated in a computational framework - CFS-RAMA. The approach is general and thereby making it easy to analyze a variety of configurations of wall panels with brittle sheathing materials and the results are validated using monotonic racking test data published from literature. The design parameters estimated using EEEP (Equivalent Energy Elastic Plastic) method are also compared against corresponding experimental values and found in good agreement. The method provides a good estimate of the wall panel behavior for a variety of configurations, dimensions and sheathing materials used, making it an effective design tool for practicing engineers.
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