The study using numerical methods on porous functionally graded (FG) nanoplates is still
somewhat limited. This paper focuses on porosity-dependent nonlinear transient analysis of …

We present in this study a size-dependent computational approach based on the modified
strain gradient theory (MSGT) and higher-order shear deformation theory for static bending …

In the present work, thermoelastic damping in a micro-resonator operating in vacuum as a
vibrating size-dependent circular thin plate is studied. To better describe the heat conduction …

We present a general finite deformation higher-order gradient elasticity theory. The
governing equations of the higher-order gradient solid along with boundary conditions of …

The couple-stress elasticity is applied to study an anti-plane shear crack at the interface
between two bonded dissimilar elastic media with initial stresses. First, the deviatoric couple …

While crack nucleation and propagation in the brittle or quasi-brittle regime can be predicted
via variational or material-force-based phase field fracture models, these models often …

The nonlocal operator method (NOM) is initially proposed as a particle-based method, which
has difficulties in imposing accurately the boundary conditions of various orders. In this …

We provide a primer to numerical methods based on Taylor series expansions such as
generalized finite difference methods and collocation methods. We provide a detailed …

In this study, the vibration behaviours of functionally graded microplates with cracks are
investigated by means of a simple yet rigorous version of Mindlin's generialised continuum …

This article proposes a micropolar phase-field model for size-dependent brittle fracture in
solids under electro-mechanical loading conditions. Considering displacement, micro …