In the present study, the buckling analysis of single-walled carbon nanotubes (SWCNT) on the basis of a new refined beam theory is analyzed. The SWCNT is modeled as an elastic beam subjected to unidirectional compressive loads. To achieve this aim, the new proposed beam theory has only one unknown variable which leads to one equation similar to Euler beam theory and is also free from any shear ...

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.

Steady, laminar, incompressible and two-dimensional flow of a micropolar fluid between two porous coaxial disks is considered. To describe the working fluid, we use the micropolar model given by Eringen. The governing equations of motion are reduced to a set of non-linear coupled ordinary differential equations using Berman’s similarity transformation. The SOR iterative method is used to solve ...

• 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. • ...