In this paper, a size-dependent first-order shear deformation plate model is formulated in the framework of the higher-order generalized nonlocal strain-gradient (GNSG) theory. This modelemploys ...

The scattering of guided waves through a coupling region is crucial information when studying waveguides. In this paper, the second strain gradient theory (SSG) used to describe wave transmission and reflection in three-dimensional micro-sized medium. First, constitutive relation 3D SSG model derived while six quintic Hermite polynomial shape functions are for displacement field. Then Hamilton’...

   The main purpose of the present investigation is to analyze more comprehensively the size-dependent nonlinear free vibration response of multilayer functionally graded graphene platelet-reinforced composite (GPLRC) nanobeams. As a consequence, both of the hardening stiffness and softening stiffness of size effect are taken into consideration by implementation of the nonlocal str...

The scattering of guided waves through a complex structure is great importance in predicting vibration energy transmission and reflection across structures. Multi-scale models based on generalized continuum theory have been developed recently to investigate the behavior media frame mechanics. In this study, second strain gradient are employed together with matrix method study wave non-classical...

-Dislocation theory is used to invoke a strain gradient theory of rate independent plasticity. Hardening is assumed to result from the accumulation of both randomly stored and geometrically necessary dislocations. The density of the geometrically necessary dislocations scales with the gradient of plastic strain. A deformation theory of plasticity is introduced to represent in a phenomenological...