Optimization concept in the context of shear deformation theories was born for the development of accurate models to study the bending problem of structures. The present study seeks to extend such an approach to the dynamic analysis of plates. A compact and unified formulation with non-polynomial shear strain shape functions (SSSFs) is employed to develop a static and free vibration analysis of...

This paper explores the temporal scaling behavior induced shear-branching structure in response to variant temperatures and strain rates during plastic deformation of Zr-based bulk metallic glass (BMG). The data analysis based on the compression tests suggests that there are two states of shear-branching structures: the fractal structure with a long-range order at an intermediate temperature of...

We study the effect of adsorbed surfactant on drop deformation in linear flows by means of analytical solutions for small perturbations of the drop shape and surfactant distribution, and by numerical simulations for large distortions. We consider a drop with the same viscosity as the suspending fluid. Under these conditions, the problem simplifies because the disturbance flow field results sole...

ABSTRACT Numerous engineering applications exist for the piezoelectric effect, which results from electromechanical coupling between electrical and mechanical fields. In-plane vibrations of plates’ resonance frequencies associated mode shapes have been thoroughly investigated. However, analytical solutions in-plane-dominated thick circular plates are limited. In this paper, higher-order plate t...

The effects of advanced nonlinear varied shear coefficient and third-order deformation theory (TSDT) on the dynamic responses thick functionally graded material (FGM) plates under thermal vibration are investigated. displacement field TSDT is used to obtain expression for FGM plates. displacements, rotations stresses in numerical results sinusoidal applied heat loads obtained Two parametric env...

In this paper, the free vibration analysis of moderately thick rectangular plates axially moving with constant velocity and subjected to uniform in-plane loads is investigated by the spectral finite element method. Two parallel edges of the plate are assumed to be simply supported and the remaining edges have any arbitrary boundary conditions. Using Hamilton’s principle, three equations of moti...