Titlebook: Surface Effects in Solid Mechanics; Models, Simulations Holm Altenbach,Nikita F Morozov Book 2013 Springer-Verlag Berlin Heidelberg 2013 C

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Effect of a Type of Loading on Stresses at a Planar Boundary of a Nanomaterial,al surface stress, and constitutive equations of the Gurtin–Murdoch surface linear elasticity are assumed. Using Goursat–Kolosov complex potentials and Muskhelisvili technique, the solution of the boundary value problem in the case of an arbitrary load is reduced to a hypersingular integral equation

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Surface Stress in an Elastic Plane with a Nearly Circular Hole,ress is acting at the boundary of the hole. The outer surface of the hole is supposed to be conformally mapped on the outer surface of the circle by means of a power function. The Gurtin–Murdoch surface elasticity model is applied to take into account the surface stress effect. Based on the Goursat–

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Stability and Structural Transitions in Crystal Lattices,rmations is closely connected with its strength. In this work stability of plane triangular (single atomic layer of FCC and HCP) and FCC lattices under finite strain is investigated. Analysis and modeling based on discrete atomistic methods is proposed. The medium is represented by a set of particle

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Mathematical Modeling of Phenomena Caused by Surface Stresses in Solids,ne-dimensional continuum, respectively. A survey of works on mathematical modeling of phenomena in such systems is presented. The equation of the linear momentum balance for an interface generalizes the classical Laplace equation and that for a contact line generalizes the Young equation of the capi

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On the Isotropic Elastic Properties of Graphene Crystal Lattice, deformations are considered. A simple and mathematically rigorous proof of this statement is given. The proof is based on the orthogonal transformation of the coordinates of the continual stress and strain tensors and comparison of the elastic tensor components before and after transformation.