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Linear elasticity
About: Linear elasticity is a research topic. Over the lifetime, 9080 publications have been published within this topic receiving 258684 citations.
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TL;DR: In this article, the authors measured the strains around a matrix dislocation in silicon and compared them with theoretical calculations of the matrix dislocations in germanium, using a combination of high-resolution electron microscopy and geometric phase analysis to cope with the problem that the reference lattice is not identical for the whole field of view.
Abstract: Stresses and strains around a dislocation at a grain boundary in germanium are measured by a combination of high-resolution electron microscopy and geometric phase analysis. The method is established by first measuring the strains around a matrix dislocation in silicon. Stresses are determined using linear elastic theory and bulk elastic constants. Strain measurements are shown to agree with theoretical calculations based on linear anisotropic elastic theory to 0.2% at a spatial resolution of 2–3 nm. A dislocation constricted at a coherent twin boundary in germanium is subsequently analyzed. The method is adapted to cope with the problem that the reference lattice is not identical for the whole field of view, due to the grain boundary. Strains are compared with theoretical calculations of a matrix dislocation in germanium. Whereas strains in the grains on either side of the twin boundary agree closely with the isolated dislocation case, significant additional strains are localized at the boundary plane. B...
59 citations
TL;DR: A review of methods and results, within the theory of linear elasticity theory, which relate to the impedance for these problems and their static counterparts is presented in this paper, where the results presented for cases (i and (ii) are known, some of those relating to cases (iii and (iv) are new.
59 citations
TL;DR: In this article, a semi-infinite mode III crack dynamically propagates in a two-dimensional linear elastic infinite body is considered, where the crack tip is assumed to be a cohesive zone whose size is determined so as to cancel the classical crack tip stress singularity caused by the applied loads.
59 citations
TL;DR: The aim of this work is to give a detailed insight into the implementation aspects and validation of new parameter identification strategies, such as the Finite Element Model Updating, the Constitutive Equation Gap Method, the Equilibrium Gap Method and the Virtual Fields Method.
59 citations
Book•
01 Apr 2012TL;DR: In finite homogeneous regions -image stresses 9. Inhomogeneities 10. Dislocations in infinite homogenous regions 11. Interactions between point defects and stresses 12. Interaction between dislocations and stresses 14. Interfaces 15.Interactions between interfaces and stresses 16.
Abstract: 1. Introduction 2. Basic linear elasticity 3. Methods 4. Green's functions for unit point force 5. Interactions between defects and stress 6. Inclusions in infinite homogeneous regions 7. Interactions between inclusions and imposed stresses 8. Inclusions in finite homogeneous regions - image stresses 9. Inhomogeneities 10. Point defects in infinite homogeneous regions 11. Interactions between point defects and stresses 12. Dislocations in infinite homogeneous regions 13. Interactions between dislocations and stresses 14. Interfaces 15. Interactions between interfaces and stresses 16. Interactions between defects Appendices Index.
59 citations