Elasticity theory is an important component of continuum mechanics and has had widely spread applications in science and engineering. Material interfaces are ubiquity in nature and man-made devices, and often give rise to discontinuous coefficients in the governing elasticity equations. In this work, the matched interface and boundary (MIB) method is developed to address elasticity interface pr...

Due to considerable stored energy in surfaces of nano-scales in comparison with the stored energy in their bulk, considering the surface energy is necessary for the analysis of various behaviors of nano-scales for more precise design and manufacturing. In this article, the longitudinal dynamic behavior of nanobars in the presence of the surface energy parameters is studied. To this end, the lon...

A general theory of thermally stable anisotropic laminates with bending-extension coupling is presented in the framework of linear thermo-elasticity. It is based upon the use of tensor invariants, found by the polar formalism for bi-dimensional anisotropic elasticity. The extension of the results to moisture absorption effects is also proved.

• Mixed methods for elastodynamics with weak symmetry. • Mixed finite elements for elasticity on quadrilateral meshes. • Finite element differential forms on curvilinear cubic meshes and their approximation properties. Numer. • Nonconforming tetrahedral mixed finite elements for elasticity. • Mixed finite element approximation of the vector Laplacian with Dirichlet boundary conditions. Math. • ...

This work is the second part of a previous paper which was devoted to scalar problems. Here we study shape derivative eigenvalue problems elasticity theory for various kinds boundary conditions, that Dirichlet, Neumann, Robin, and Wentzell conditions. We also case composite materials, having in mind applications sensitivity analysis mechanical devices manufactured by additive printing. The main...

This paper deals with the equilibrium problem of slender beams inflexed under variable curvature in framework fully nonlinear elasticity. For specific case uniform flexion, authors have recently proposed a mathematical model. In that analysis, complete three-dimensional kinematics beam is taken into account and both deformations displacements are considered large. present paper, aforementioned ...