Academic literature on the topic 'Inclusions'

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Journal articles on the topic "Inclusions"

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Cernea, Aurelian. "Variational inclusions for a Sturm-Liouville type differential inclusion." Mathematica Bohemica 135, no. 2 (2010): 171–78. http://dx.doi.org/10.21136/mb.2010.140694.

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Wang, Yan, Qing Xiao Li, Shuo Ming Wang, and Peng Long Han. "Study of Inclusion’s Source and Character in Different T[O] Content." Advanced Materials Research 887-888 (February 2014): 187–90. http://dx.doi.org/10.4028/www.scientific.net/amr.887-888.187.

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Inclusion’s source and character in different T[ content are studied in the paper, molten slag and refractory material that leave in steel are also calculated. Inclusion in steel are principally come from deoxidation, accompany with the decrease of T[ content, influence of molten slag and refractory materials to inclusions are getting more and more serials. Inclusions which come from molten slag and refractory material are 88.9%, 24.6% and 18.1% defenetly. Great influence on non steady large inclusions in T[ steel, when the mold level fluctuation is large, almost 100% of inclusions in steel have slag inclusion of covering slag. When tundish liquid level fluctuation is large, about 30%~60% inclusions in steel have tundish slag.
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Katzberg, H. D., and D. G. Munoz. "Tubuloreticular inclusions in inclusion body myositis." Clinical Neuropathology 29, no. 07 (July 1, 2010): 262–66. http://dx.doi.org/10.5414/npp29262.

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Uchikado, Hirotake, Ang Li, Wen-Lang Lin, and Dennis W. Dickson. "Heterogeneous inclusions in neurofilament inclusion disease." Neuropathology 26, no. 5 (October 2006): 417–21. http://dx.doi.org/10.1111/j.1440-1789.2006.00709.x.

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Cannarsa, Piermarco, Francesco Marino, and Peter Wolenski. "The dual arc inclusion with differential inclusions." Nonlinear Analysis: Theory, Methods & Applications 79 (March 2013): 176–89. http://dx.doi.org/10.1016/j.na.2012.11.021.

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Yao, Gang, Guifeng Wang, Lihai Tan, Yinfeng Zhang, Ruizhi Wang, and Xiaohan Yang. "Fracture Evolution and Mechanical Properties of Mortar Containing Different Inclusions." Applied Sciences 14, no. 8 (April 9, 2024): 3166. http://dx.doi.org/10.3390/app14083166.

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To study the influence of inclusions on the fracture evolution and mechanical properties of mortar structures, a series of uniaxial compression tests for mortar samples containing cylinder inclusions of varying mechanical properties were conducted. The digital image correlation (DIC) technique was employed for the analysis of deformation characteristics. In addition, failure modes for each sample were determined using self-documenting code. The result shows that inclusions filled in holes significantly influence the mechanical properties and failure characteristics of mortar structures as they can change the stress distribution and cracking process. Cracks are typically initiated at the boundaries of the inclusions but will only extend into the inclusion if it is less robust than the surrounding matrix. Sample strength increases significantly with an increase in sample strength when the inclusion’s strength does not surpass that of the surrounding material. Once the inclusion’s strength exceeds that of the surrounding matrix, the strength of the specimen remains relatively unchanged.
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Huang, Y., and K. X. Hu. "A Generalized Self-Consistent Mechanics Method for Solids Containing Elliptical Inclusions." Journal of Applied Mechanics 62, no. 3 (September 1, 1995): 566–72. http://dx.doi.org/10.1115/1.2895982.

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The determination of the effective moduli for a material containing elliptical inclusions is the objective of this paper. This is done by incorporating an inclusion/matrix/composite model into a general energy equivalence framework. Through the evaluation of the average strain in each individual inclusion, the current approach can handle the inclusion’s orientation dependency in a straightforward manner. The case of an in-plane isotropic distribution of elliptical inclusions is addressed in detail. For the case of reinforcements, or hard inclusions, the effect of the inclusion aspect ratio on in-plane effective moduli is small if the aspect ratio is larger than 0.5. For aspect ratios less than 0.3, the effective moduli increase dramatically, which implies that flat reinforcements are much more effective than traditional cylindrical reinforcements. It is also established that the generalized self-consistent method predicts a stronger dependence of effective moduli on the inclusion aspect ratio than does the Mori-Tanaka method, especially for shear moduli.
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Liu, Liping, Richard D. James, and Perry H. Leo. "Periodic Inclusion—Matrix Microstructures with Constant Field Inclusions." Metallurgical and Materials Transactions A 38, no. 4 (February 21, 2007): 781–87. http://dx.doi.org/10.1007/s11661-006-9019-z.

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Fathallah, Mohammed, Frederic Fotiadu, and Carlos Jaime. "Cyclodextrin Inclusion Complexes. MM2 Calculations Reproducing Bimodal Inclusions." Journal of Organic Chemistry 59, no. 6 (March 1994): 1288–93. http://dx.doi.org/10.1021/jo00085a015.

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Xue, Zhengliang, Yuqing Weng, and Zhengbang Li. "Zero Inclusion Steel and its Oxide Inclusions Characteristics." steel research international 76, no. 10 (October 2005): 735–39. http://dx.doi.org/10.1002/srin.200506089.

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Dissertations / Theses on the topic "Inclusions"

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Bian, Wenming. "Operator inclusions and operator-differential inclusions." Thesis, University of Glasgow, 1998. http://theses.gla.ac.uk/2029/.

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In Chapter 2, we first introduce a generalized inverse differentiability for set-valued mappings and consider some of its properties. Then, we use this differentiability, Ekeland's Variational Principle and some fixed point theorems to consider constrained implicit function and open mapping theorems and surjectivity problems of set-valued mappings. The mapping considered is of the form F(x, u) + G (x, u). The inverse derivative condition is only imposed on the mapping x F(x, u), and the mapping x G(x, u) is supposed to be Lipschitz. The constraint made to the variable x is a closed convex cone if x F(x, u) is only a closed mapping, and in case x F(x, u) is also Lipschitz, the constraint needs only to be a closed subset. We obtain some constrained implicit function theorems and open mapping theorems. Pseudo-Lipschitz property and surjectivity of the implicit functions are also obtained. As applications of the obtained results, we also consider both local constrained controllability of nonlinear systems and constrained global controllability of semilinear systems. The constraint made to the control is a time-dependent closed convex cone with possibly empty interior. Our results show that the controllability will be realized if some suitable associated linear systems are constrained controllable. In Chapter 3, without defining topological degree for set-valued mappings of monotone type, we consider the solvability of the operator inclusion y0 N1(x) + N2 (x) on bounded subsets in Banach spaces with N1 a demicontinuous set-valued mapping which is either of class (S+) or pseudo-monotone or quasi-monotone, and N2 is a set-valued quasi-monotone mapping. Conclusions similar to the invariance under admissible homotopy of topological degree are obtained. Some concrete existence results and applications to some boundary value problems, integral inclusions and controllability of a nonlinear system are also given. In Chapter 4, we will suppose u A (t,u) is a set-valued pseudo-monotone mapping and consider the evolution inclusions x' (t) + A(t,x((t)) f (t) a.e. and (d)/(dt) (Bx(t)) + A (t,x((t)) f(t) a.e. in an evolution triple (V,H,V*), as well as perturbation problems of those two inclusions.
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Spaide, Tedodore. "Branching Diagrams for Group Inclusions Induced by Field Inclusions." Scholarship @ Claremont, 2009. https://scholarship.claremont.edu/hmc_theses/223.

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A Fourier transform for a finite group G is an isomorphism from the complex group algebra CG to a direct product of complex matrix algebras, which are determined beforehand by the structure of G. Given such an isomorphism, naive application of that isomorphism to an arbitrary element of CG takes time proportional to |G|2. A fast Fourier transform for some (family of) groups is an algorithm which computes the Fourier transform of a group G of the family in less than O(|G|2) time, generally O(|G| log |G|) or O(|G|(log |G|)2). I describe the construction of a fast Fourier transform for the special linear groups SL(q) with q = 2n.
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ASUMADU, TABIRI KWAYIE. "MACRO INCLUSION RESEARCH : DETECTION AND EVALUATION OF MACRO INCLUSIONS IN SPECIAL STEELS." Thesis, KTH, Materialvetenskap, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-101452.

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If these macro inclusions are not detected before the material is put in used, its mechanical properties are greatly affected and this can lead to outrageous consequences in the engineering application.
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Bocharov, Boris. "Stochastic evolution inclusions." Thesis, University of Edinburgh, 2010. http://hdl.handle.net/1842/3772.

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This work is concerned with an evolution inclusion of a form, in a triple of spaces \V -> H -> V*", where U is a continuous non-decreasing process, M is a locally square-integrable martingale and the operators A (multi-valued) and B satisfy some monotonicity condition, a coercivity condition and a condition on growth in u. An existence and uniqueness theorem is proved for the solutions, using semi-implicit time-discretization schemes. Examples include evolution equations and inclusions driven by square integrable Levy martingales.
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Chen, Xiaoli. "Stochastic differential inclusions." Thesis, University of Edinburgh, 2006. http://hdl.handle.net/1842/13367.

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Stochastic differential inclusions (SDIs) on Rd have been investigated in this thesis, dx(t) Î a(t, x(t))dt +   (t, x (t)d where a is a maximal monotone mapping, b is a Lipschitz continuous function, and w is a Wiener process. The principal aim of this work is to present some new results on solvability and approximations of SDIs. Two methods are adapted to obtain our results: the method of minimization and the method of implicit approximation. We interpret the method of monotonicity as a method of constructing minimizers to certain convex functions. Under the monotonicity condition and the usual linear growth condition, the solutions are characterized as the minimizers of convex functionals, and are constructed via implicit approximations. Implicit numerical scheme is given and the result on the rate of convergence is also presented. The ideas of our work are inspired by N.V. Krylov, where stochastic differential equations (SDEs0 in Rd are solved by minimizing convex functions via Euler approximations. Furthermore, since the linear growth condition is too strong, an approach is proposed for truncating maximal monotone functions to get bounded maximal monotone functions. It is a technical challenge in this thesis. Thus the existence of solutions to SDIs is proved under essentially weaker growth condition than the linear growth. For a special case of SDEs, a few of recent results from [5] are generalized. Some existing results of the convergence by implicit numerical schemes are proved under the locally Lipschitz condition. We will show that under certain weaker conditions, if the drift coefficient satisfies one-sided Lipschitz and the diffusion coefficient is Lipschitz continuous, implicit approximations applied to SDEs, converge almost surely to the solution of SDEs. The rate of convergence we get is ¼.
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Syam, Ai͏̈cha. "Contribution aux inclusions différentielles." Montpellier 2, 1993. http://www.theses.fr/1993MON20153.

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En premier lieu, on presente quelques resultats concernant les approximations lipschitziennes et les proprietes de differentiabilite d'une classe d'integrandes et de multifonctions semi continues superieurement; et on donne des applications a l'existence des solutions absolument continues des equations differentielles a contraintes sur l'etat. En second lieu, on introduit le retard. Il s'agit, la encore, des resultats de viabilite mais pour des inclusions a memoire avec contraintes sur l'etat. Ensuite, on s'interesse a quelques problemes de la rafle du second ordre en utilisant des theoremes de point fixe. Enfin, la derniere partie est consacree a l'etude d'un probleme perturbe de la rafle du premier ordre mais ou la perturbation est semi continue superieurement et a valeurs non necessairement convexes
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Welsch, Marie-José. "Les myosites a inclusions." Université Louis Pasteur (Strasbourg) (1971-2008), 1985. http://www.theses.fr/1985STR1M167.

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Fernandes, Ribeiro Ana Margarida. "Inclusions différentielles et problèmes variationnels /." [S.l.] : [s.n.], 2006. http://library.epfl.ch/theses/?nr=3583.

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Cui, Xudong. "Photonic crystals with metallic inclusions /." Zürich : ETH, 2006. http://e-collection.ethbib.ethz.ch/show?type=diss&nr=16933.

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Bauwe, Anne, and Wilfried Grecksch. "Finite dimensional stochastic differential inclusions." Universitätsbibliothek Chemnitz, 2008. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200800515.

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This paper offers an existence result for finite dimensional stochastic differential inclusions with maximal monotone drift and diffusion terms. Kravets studied only set-valued drifts in [5], whereas Motyl [4] additionally observed set-valued diffusions in an infinite dimensional context. In the proof we make use of the Yosida approximation of maximal monotone operators to achieve stochastic differential equations which are solvable by a theorem of Krylov and Rozovskij [7]. The selection property is verified with certain properties of the considered set-valued maps. Concerning Lipschitz continuous set-valued diffusion terms, uniqueness holds. At last two examples for application are given.
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Books on the topic "Inclusions"

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M, Santosh, and Geological Society of India, eds. Fluid inclusions. Bangalore: Geological Society of India, 1988.

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Gostyayeva, Natalya. Implications of the fluid-inclusion motions in the Elder Creek porphyry copper system, Battle Mountain Mining District, Nevada. Menlo Park, Calif: U.S. Dept. of the Interior, U.S. Geological Survey, 1996.

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Gostyayeva, Natalya. Implications of the fluid-inclusion motions in the Elder Creek porphyry copper system, Battle Mountain Mining District, Nevada. Menlo Park, Calif: U.S. Dept. of the Interior, U.S. Geological Survey, 1996.

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Gostyayeva, Natalya. Implications of the fluid-inclusion motions in the Elder Creek porphyry copper system, Battle Mountain Mining District, Nevada. Menlo Park, Calif: U.S. Dept. of the Interior, U.S. Geological Survey, 1996.

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G, Theodore Ted, Lowenstern Jacob B, and Geological Survey (U.S.), eds. Implications of fluid-inclusion motions in the Elder Creek porphyry copper system, Battle Mountain Mining District, Nevada. Menlo Park, Calif: U.S. Dept. of the Interior, U.S. Geological Survey, 1996.

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G, Theodore Ted, Lowenstern Jacob B, and Geological Survey (U.S.), eds. Implications of fluid-inclusion motions in the Elder Creek porphyry copper system, Battle Mountain Mining District, Nevada. Menlo Park, Calif: U.S. Dept. of the Interior, U.S. Geological Survey, 1996.

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Shively, Jessup M., ed. Inclusions in Prokaryotes. Berlin/Heidelberg: Springer-Verlag, 2006. http://dx.doi.org/10.1007/3-540-33774-1.

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Shively, Jessup M., ed. Inclusions in Prokaryotes. Berlin/Heidelberg: Springer-Verlag, 2006. http://dx.doi.org/10.1007/11497073.

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Rowan, E. Lanier. Stretching of fluid inclusions in fluorite at confining pressures up to one kilobar. [Reston, Va.?]: U.S. Dept. of the Interior, Geological Survey, 1985.

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United States. National Aeronautics and Space Administration., ed. P-T conditions of deformation from fluid inclusions in mylonites. College Park, MD: Dept. of Geology, University of Maryland, 1990.

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Book chapters on the topic "Inclusions"

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Hwu, Chyanbin. "Inclusions." In Anisotropic Elastic Plates, 239–75. Boston, MA: Springer US, 2010. http://dx.doi.org/10.1007/978-1-4419-5915-7_8.

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Exel, Ruy, and David R. Pitts. "Inclusions." In Characterizing Groupoid C*-algebras of Non-Hausdorff Étale Groupoids, 7–65. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-05513-3_2.

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Hwu, Chyanbin. "Inclusions." In Anisotropic Elasticity with Matlab, 187–216. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-66676-7_8.

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Sofonea, Mircea. "Inclusions." In Advances in Mechanics and Mathematics, 205–39. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-41416-9_6.

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Kitainik, Leonid. "Fuzzy Inclusions." In Fuzzy Decision Procedures with Binary Relations, 47–102. Dordrecht: Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1960-3_6.

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Mura, Toshio. "Isotropic inclusions." In Micromechanics of defects in solids, 74–128. Dordrecht: Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3489-4_2.

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Mura, Toshio. "Anisotropic inclusions." In Micromechanics of defects in solids, 129–76. Dordrecht: Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3489-4_3.

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J. Bodnar, Robert. "Fluid Inclusions." In Encyclopedia of Earth Sciences Series, 1–5. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-39193-9_225-1.

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J. Bodnar, Robert. "Fluid Inclusions." In Encyclopedia of Earth Sciences Series, 488–92. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-39312-4_225.

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Repovš, Dušan, and Pavel Vladimirovič Semenov. "Differential Inclusions." In Continuous Selections of Multivalued Mappings, 311–29. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-017-1162-3_21.

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Conference papers on the topic "Inclusions"

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Piccoli, Benedetto. "Measure differential inclusions." In 2018 IEEE Conference on Decision and Control (CDC). IEEE, 2018. http://dx.doi.org/10.1109/cdc.2018.8618884.

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Sakuraya, K., H. Okada, and F. Abe. "Coarse Size BN Type Inclusions formed in Boron Bearing High Cr Ferritic Heat Resistant Steel." In AM-EPRI 2004, edited by R. Viswanathan, D. Gandy, and K. Coleman. ASM International, 2004. http://dx.doi.org/10.31399/asm.cp.am-epri-2004p1270.

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Abstract This study investigates the behavior of boron nitride (BN) inclusions in high-chromium ferritic heat-resistant steels like P92 and P122. Boron is added to improve creep resistance, but its role is not fully understood. Here, the formation and dissolution of BN inclusions during high-temperature heat treatment were examined. Microscopic analysis revealed coarse BN inclusions (2-5 μm) alongside smaller alumina inclusions. Annealing experiments showed that these BN inclusions only dissolved at temperatures exceeding 1200°C, suggesting they form during casting or forging processes below 1150°C. Chemical analysis identified a critical boron and nitrogen concentration threshold (below 0.001% B and 0.015% N) for BN inclusion formation.
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Stone, Daniel H., Francisco Robles, and Geoffrey Dahlman. "Effects of Microvoids, Oxide Inclusions, and Sulfide Inclusions of the Fatigue Strength of Wheel Steels." In ASME/IEEE 2007 Joint Rail Conference and Internal Combustion Engine Division Spring Technical Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/jrc/ice2007-40011.

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The effects of microscopic discontinuities on reducing the fatigue strength of steels are well known. This paper will attempt to quantify the reduction of fatigue strength due to measured quantities of microvoids, oxide inclusions, and sulfide inclusions of the fatigue strength of wheel steels. Murikami and Endo have derived a model that relates the effects of void and inclusion area and hardness on the fatigue endurance limit. In the present work is presented a unique analysis where the effect of microcleanliness is investigated. The Murikami model was used for simplicity and because the goal in this publications is to demonstrate that inclusions play an important role on wheel performance. This work summarizes the microcleanliness analysis of 113 wheels; most of such wheels were removed from revenue service due to failure. The nature of the failure indicates that the wheels failed due to a fatigue related problem. For these reason, it is of paramount interest to determine the effects of defects (i.e. voids or inclusions) on wheel performance. For this reason a simple model (Murikami) was employed to quantify the effect of defects that were measured using the microanalysis.
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NOMURA, SEIICHI, and NILABH KRISHNA. "EFFECTIVE THERMAL CONDUCTIVITY FOR FUNCTIONALLY GRADED MATERIALS." In Proceedings for the American Society for Composites-Thirty Seventh Technical Conference. Destech Publications, Inc., 2022. http://dx.doi.org/10.12783/asc37/36454.

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In this paper, an analytical approach is presented to derive the effective thermal conductivity of a composite reinforced by FGM (Functionally Graded Materials) inclusions of spherical shape. The composite consists of spherical inclusions made of FGM embedded in an infinitely-extended matrix phase subject to uniform heat flux at infinity. The thermal conductivity of the FGM inclusion is assumed to vary linearly inside the FGM. The varying thermal conductivity inside the FGM inclusions results in a temperature distribution in the composite. The effective thermal conductivity is derived based on the exact temperature solution for a single FGM inclusion and by employing the self-consistent approximation. The derived values are found to be within the upper and lower bounds of the rule-ofmixtures.
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Shan, Baoxiang, and Assimina A. Pelegri. "Dynamic Analysis of Soft Tissues With Hard Inclusions." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-68558.

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Research on the biomechanical behavior of soft tissues has drawn a lot of recent attention due to its application in tissue evaluation, early cancer detection, rehabilitation and surgery. Dynamic analysis of soft tissues not only provides histological, pathological and physiological information of the tissues, but also presents theoretical support for the modern medical imaging modalities (like Acoustic Radiation Force Imaging, Harmonic Motion Imaging, Supersonic Shear Imaging and Shear Wave Elasticity Imaging) based on tissue dynamics. Using our FEMSS (Finite Element Method with a State Space representation) technique, a realistic model of breast soft tissue with hard inclusions is geometrically discretized in ANSYS using finite elements, while a state space representation is adopted to characterize the motions of tissues stimulated by an internal radiation force. Our objective for this paper is to investigate the effects of size, location and mechanical properties of hard inclusions on the tissues’ response, frequency spectrum and forced vibration. The response differentiation between soft tissues with and without hard inclusions may reveal the resolution and delectability of the dynamic measurement and could lead in the development of new, more effective diagnostic techniques. Our simulation results indicate that the existence of hard inclusion(s) can significantly change the dynamic response of the tissue system. Specifically, hard inclusions may shift the spectrum of an elastic tissue system to a range of higher frequency, with larger sized hard inclusions causing bigger shifts. Furthermore, the location effect of hard inclusions is exhibited when a shallow one tends to vibrate with a larger magnitude at lower frequency than a deep hard inclusion. Finally, the tissue viscosity can significantly compress the range of high frequencies in the tissue system spectrum and cause the magnitude decrease of the forced vibration.
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Dong, Qicheng, and James W. Rector. "Seismic scattering from inclusions." In SEG Technical Program Expanded Abstracts 1995. Society of Exploration Geophysicists, 1995. http://dx.doi.org/10.1190/1.1887589.

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Rendon, Nathan, and William LePage. "Observations of Damage and Crack Formation in Nitinol at Inclusions Smaller Than the Critical Flaw Size." In SMST 2024. ASM International, 2024. http://dx.doi.org/10.31399/asm.cp.smst2024p0058.

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Abstract Inclusions and surface defects are the primary drivers of fatigue fractures for Nitinol. Surface defects can take the form of die marks, surface roughness, or scratches, and when present, these will typically be the sites for fatigue fractures. When such surface defects are not present, however, surface-exposed inclusions become the primary sites of fatigue fractures. Surface-exposed inclusions are either fully embedded (no surrounding voids) or particle-void assemblies (PVAs). PVAs are up to 600 times more likely to be the sites of crack nucleation compared to fully embedded particles, so they are of primary interest. PVAs typically take the form of a single, small, and unbroken inclusion with one or two associated voids (coined a "teardrop"), or a longer, drawn-out, and broken-up inclusion with many voids (coined a "stringer").
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Deǧer, Özkan, Elimhan N. Mahmudov, and Dilara I. Mastaliyeva. "Optimization of semilinear third-order delay-differential inclusions using the adjoint Mahmudov inclusion." In SIXTH INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2022). AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0175894.

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Buryachenko, V. A. "Effective Elastic and Strength Properties and Stress Field in Elastic Random Structure Matrix Composites." In ASME 1998 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/imece1998-1209.

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Abstract Linearly thermoelastic composite media are treated, which consist of a homogeneous matrix containing a statistically homogeneous random set of ellipsoidal uncoated or coated inclusions. Effective properties (such as compliance, thermal expansion, stored energy) as well as both first and second statistical moments of stresses in the components are estimated for the general case of nonhomogeneity of the thermoelastic inclusion properties. The micromechanical approach is based on Green’s function techniques as well as on the generalization of the “multiparticle effective field” method (MEFM), previously proposed for the estimation of stress field averages in the components. The application of the theory is demonstrated by calculating overall strength surfaces of composite materials. The influence of the coating is analyzed by the use of both the assumption of homogeneity of the stress field in the inclusion core and of the thin-layer hypothesis. Let us consider statistically uniform random set of coated ellipsoidal inclusions having all the same form, orientation and mechanical properties. We are using the main hypothesis of many micromechanical methods, according to which each inclusion is located inside a homogeneous so-called effective field. It is shown, in the framework of the effective field hypothesis, that from a solution of the pure elastic problem (with zero stress free strains) for the composite the relations for effective thermal expansions, stored energy and average thermoelastic strains inside the components can be found. This way one obtains the generalization of the classical formulae by Rosen and Hashin, which are exact for two-component composites. The proposed theory is applied to the example of composites reinforced with ellipsoidal inclusions with thin inhomogeneous (along inclusion surface) coatings. For a single coated inclusion the micromechanical approach is based on the Green function technique as well as on the interfacial Hill operators. Functionally graded materials are considered, which consists of a homogeneous matrix and a statistically inhomogeneous random set of ellipsoidal inclusions. The hypothesis of effective field homogeneity near the inclusions is used, non-local effects in the constitutive relations are not considered. Non-local dependencies of local effective elastic properties as well as of conditional averages of the stresses in the components on the local concentration of the inclusions are demonstrated. Numerical results are represented for spherical clusters of spherical inclusions. In the interior of a large cluster, sufficiently far away from the boundary, the local effective moduli coincide with the isotropic effective moduli for the statistically homogeneous medium. However, near the boundary of the cluster the tensors of the effective moduli lose isotropy, i.e., they become transversally isotropic and vary significantly within the boundary layer, the thickness of which equals approximately two diameters of the inclusions (non-local boundary layer effect). The character of the dependence of the effective elastic moduli varies (i.e., they increase or decrease monotonically or non-monotonically with the distance from the boundary of the cluster) with the variation of the cluster size (scale effect). Both average meso stresses and average micro stresses in the phases are estimated along the radius of the cluster.
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Hage, Ilige S., Charbel Y. Seif, Ré-Mi Hage, and Ramsey F. Hamade. "A Verified Non-Linear Regression Model for Elastic Stiffness Estimates of Finite Composite Domains Considering Combined Effects of Volume Fractions, Shapes, Orientations, Locations, and Number of Multiple Inclusions." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-86231.

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A non-linear regression model using SAS/STAT (JMP® software; Proc regression module) is developed for estimating the elastic stiffness of finite composite domains considering the combined effects of volume fractions, shapes, orientations, inclusion locations, and number of multiple inclusions. These estimates are compared to numerical solutions that utilized another developed homogenization methodology by the authors (dubbed the generalized stiffness formulation, GSF) to numerically determine the elastic stiffness tensor of a composite domain having multiple inclusions with various combinations of geometric attributes. For each inclusion, these considered variables represent the inclusions’ combined attributes of volume fraction, aspect ratio, orientation, number of inclusions, and their locations. The GSF methodology’s solutions were compared against literature-reported solutions of simple cases according to such well-known techniques as Mori-Tanaka and generalized self-consistent type methods. In these test cases, the effect of only one variable was considered at a time: volume fraction, aspect ratio, or orientation (omitting the number and locations of inclusions). For experimental corroboration of the numerical solutions, testing (uniaxial compression) was performed on test cases of 3D printed test cubes. The regression equation returns estimates of the composite’s ratio of normalized longitudinal modulus (E11) to that of the matrix modulus (Em) or E11/Em when considering any combination of all of the aforementioned inclusions’ variables. All parameters were statistically analyzed with the parameters retained are only those deemed statistically significant (p-values less than 0.05). Values returned by the regression stiffness formulation solutions were compared against values returned by the GSF formulation numerical and against the experimentally found stiffness values. Results show good agreement between the regression model estimates as compared with both numerical and experimental results.
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Reports on the topic "Inclusions"

1

Mura, T. Interaction Among Inhomogeneities and Inclusions. Fort Belvoir, VA: Defense Technical Information Center, January 1985. http://dx.doi.org/10.21236/ada153114.

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2

Libero, Josephine, Kara Luitjohan, Eric Tegtmeier, and Seth Imhoff. Investigation of Carbide Inclusions in Cast Uranium. Office of Scientific and Technical Information (OSTI), August 2023. http://dx.doi.org/10.2172/1997138.

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3

Kingston, A. W., and O. H. Ardakani. Diagenetic fluid flow and hydrocarbon migration in the Montney Formation, British Columbia: fluid inclusion and stable isotope evidence. Natural Resources Canada/CMSS/Information Management, 2022. http://dx.doi.org/10.4095/330947.

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The Montney Formation in Alberta and British Columbia, Canada is an early Triassic siltstone currently in an active diagenetic environment at depths greater than 1,000 m, but with maximum burial depths potentially exceeding 5,000 m (Ness, 2001). It has undergone multiple phases of burial and uplift and there is strong evidence for multiple generations of hydrocarbon maturation/migration. Understanding the origin and history of diagenetic fluids within these systems helps to unravel the chemical changes that have occurred since deposition. Many cores taken near the deformation front display abundant calcite-filled fractures including vertical or sub-vertical, bedding plane parallel (beefs), and brecciated horizons with complex mixtures of vertical and horizontal components. We analyzed vertical and brecciated horizons to assess the timing and origin of fluid flow and its implications for diagenetic history of the Montney Fm. Aqueous and petroleum bearing fluid inclusions were observed in both vertical and brecciated zones; however, they did not occur in the same fluid inclusion assemblages. Petroleum inclusions occur as secondary fluid inclusions (e.g. in healed fractures and along cleavage planes) alongside primary aqueous inclusions indicating petroleum inclusions post-date aqueous inclusions and suggest multiple phases of fluid flow is recorded within these fractures. Raman spectroscopy of aqueous inclusions also display no evidence of petroleum compounds supporting the absence or low abundance of petroleum fluids during the formation of aqueous fluid inclusions. Pressure-corrected trapping temperatures (>140°C) are likely associated with the period of maximum burial during the Laramide orogeny based on burial history modelling. Ice melt temperatures of aqueous fluid inclusions are consistent with 19% NaCl equiv. brine and eutectic temperatures (-51°C) indicate NaCl-CaCl2 composition. Combined use of aqueous and petroleum fluid inclusions in deeply buried sedimentary systems offers a promising tool for better understanding the diagenetic fluid history and helps constrain the pressure-temperature history important for characterizing economically important geologic formations.
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4

Campbell, J., E. Wallerstein, J. Hayden, D. Sapak, D. Warrington, A. Marker, III, H. Toratani, H. Meissner, S. Nakajima, and T. Izumitani. Elimination of platinum inclusions in phosphate laser glasses. Office of Scientific and Technical Information (OSTI), May 1989. http://dx.doi.org/10.2172/5214735.

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5

Videen, Gorden, Paul Pellegrino, Dat Ngo, John S. Videen, and Ronald G. Pinnick. Light Scattering Intensity Fluctuations in Microdroplets Containing Inclusions. Fort Belvoir, VA: Defense Technical Information Center, August 1997. http://dx.doi.org/10.21236/ada327849.

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6

Pesce-Rodriguez, Rose A., and Stephanie M. Piraino. Characterization of Cyclohexanone Inclusions in Class 1 RDX. Fort Belvoir, VA: Defense Technical Information Center, June 2014. http://dx.doi.org/10.21236/ada602780.

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7

Borchmann, Daniel, Felix Distel, and Francesco Kriegel. Axiomatization of General Concept Inclusions from Finite Interpretations. Technische Universität Dresden, 2015. http://dx.doi.org/10.25368/2022.219.

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Description logic knowledge bases can be used to represent knowledge about a particular domain in a formal and unambiguous manner. Their practical relevance has been shown in many research areas, especially in biology and the semantic web. However, the tasks of constructing knowledge bases itself, often performed by human experts, is difficult, time-consuming and expensive. In particular the synthesis of terminological knowledge is a challenge every expert has to face. Because human experts cannot be omitted completely from the construction of knowledge bases, it would therefore be desirable to at least get some support from machines during this process. To this end, we shall investigate in this work an approach which shall allow us to extract terminological knowledge in the form of general concept inclusions from factual data, where the data is given in the form of vertex and edge labeled graphs. As such graphs appear naturally within the scope of the Semantic Web in the form of sets of RDF triples, the presented approach opens up the possibility to extract terminological knowledge from the Linked Open Data Cloud. We shall also present first experimental results showing that our approach has the potential to be useful for practical applications.
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8

Kriegel, Francesco. Learning General Concept Inclusions in Probabilistic Description Logics. Technische Universität Dresden, 2015. http://dx.doi.org/10.25368/2022.220.

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Probabilistic interpretations consist of a set of interpretations with a shared domain and a measure assigning a probability to each interpretation. Such structures can be obtained as results of repeated experiments, e.g., in biology, psychology, medicine, etc. A translation between probabilistic and crisp description logics is introduced and then utilised to reduce the construction of a base of general concept inclusions of a probabilistic interpretation to the crisp case for which a method for the axiomatisation of a base of GCIs is well-known.
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9

Bacon, Diana H., Eric M. Pierce, Dawn M. Wellman, Denis M. Strachan, and Gary B. Josephson. Corrosion of Metal Inclusions In Bulk Vitrification Waste Packages. Office of Scientific and Technical Information (OSTI), July 2006. http://dx.doi.org/10.2172/894473.

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10

Lu, Wei-Yang, George C. Johnson, Alejandro Mota, James W. ,. III Foulk, and Huiqing Jin. Quantifying the debonding of inclusions through tomography and computational homology. Office of Scientific and Technical Information (OSTI), September 2010. http://dx.doi.org/10.2172/1008104.

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