Journal•ISSN: 0025-6544
Mechanics of Solids
Springer Science+Business Media
About: Mechanics of Solids is an academic journal published by Springer Science+Business Media. The journal publishes majorly in the area(s): Boundary value problem & Nonlinear system. It has an ISSN identifier of 0025-6544. Over the lifetime, 2023 publications have been published receiving 7215 citations. The journal is also known as: Mekhanika tverdogo tela.
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TL;DR: In this article, the authors construct equations of equilibrium and constitutive relations of linear theory of plates and shells with transverse shear strain taken into account, which are based on reducing the spatial elasticity relations with surface stresses taken in account to two-dimensional equations given on the shell median surface.
Abstract: We construct equations of equilibrium and constitutive relations of linear theory of plates and shells with transverse shear strain taken into account, which are based on reducing the spatial elasticity relations with surface stresses taken into account to two-dimensional equations given on the shell median surface. We analyze the influence of surface elasticity moduli on the effective stiffness of plates and shells.
80 citations
Journal Article•
77 citations
TL;DR: In this paper, the behavior of auxetic crystals is studied on the basis of extensive knowledge on the experimental values of elastic constants of different crystals, gathered in the well-known Landolt-Bornstein tables.
Abstract: In the present paper, we analyze uniaxial deformation of crystals of different systems with negative Poisson’s ratios, known as auxetics. The behavior of auxetic crystals is studied on the basis of extensive knowledge on the experimental values of elastic constants of different crystals, gathered in the well-known Landolt-Bornstein tables. The competition between the anisotropy of crystal structures and the orientation of deformable samples results in the dependence of the elastic characteristics of deformation, such as Young’s modulus and Poisson’s ratio, on the orientation angles. In the special case of a single angle, a large number of auxetics were found among crystals of cubic, hexagonal, rhombohedral, tetragonal, and orthorhombic systems and the character of variations in their response due to changes in orientation was determined.
53 citations
Journal Article•
TL;DR: This review concentrates on parts of the numerical methods of continuum mechanics named contact algorithms that serve to track and calculate moving interfaces such as contact, phase change, and moving free boundaries.
Abstract: Moving interfaces between media play an important role in technological and natural processes. The development of methods for solving problems with moving interfaces is one of the major aims of continuum mechanics. This review concentrates on parts of the numerical methods of continuum mechanics named contact algorithms that serve to track and calculate moving interfaces such as contact, phase change, and moving free boundaries.
45 citations
TL;DR: Several examples of boundary value problems of elasticity in a half-strip are given in the form of expansions in the Fadle-Papkovich functions as discussed by the authors, where the boundary value problem can be solved in terms of boundary values.
Abstract: Several examples of solutions of boundary value problems of elasticity in a half-strip are given in the form of expansions in the Fadle-Papkovich functions.
39 citations