Axisymmetric vibrations of a statically buckled polar orthotropic circular plate due to uniform temperature rise have been studied numerically. Effects of geometric nonlinearities have been incorporated into the problem formulation. The problem is challenging because the buckled configuration is unknown a priori. By assuming that the amplitude of plate’s vibration and the additional strains ind...

Axisymmetric deformations of a uniformly heated pre-buckled and post-buckled thin circular plate reinforced with shape memory alloy (SMA) fibers placed in the radial direction only are studied. Effects of von Kármán’s nonlinearities are incorporated in the problem formulation. The matrix is assumed to be linear thermoelastic and the thermo-mechanical response of the SMA is modeled by one-dimens...

The dynamic buckling of a thin orthotropic thermoviscoplastic plate is studied by analyzing the stability of a stressed/deformed plate under superimposed infinitesimal perturbations. Elastic deformations are neglected. The wavelength of the perturbation that has the maximum initial growth rate is assumed to determine the buckled shape of the plate. The buckled shape of a rectangular plate loade...

In this study, a hybrid method is proposed to investigate the nonlinear vibrations of pre- and post-buckled rectangular plates for the first time. This is an answer to an existing need to develope a fast and precise numerical model which can handle the nonlinear vibrations of buckled plates under different boundary conditions and plate shapes. The method uses the differential quadrature element...

We consider geometric and material nonlinearities when studying numerically the transient three-dimensional elastic deformations of a plate with piezoceramic elements perfectly bonded to its top and bottom surfaces, and analyze the effect of the shape and the size of the piezoceramic actuators on increasing the buckling load of the plate. The applied compressive edge load is assumed to increase...

Introduction: In semiconductor gas sensors, the base of the gas detection is the interaction of the gaseous species at the surface of the semiconducting sensitive material. As a consequence of this surface interaction, charge transfer takes place between the absorbed species and the sensitive material. The change of the concentration of the free charge carriers is translated into a change of th...

Non-Euclidean plates are thin elastic bodies having no stress-free configuration, hence exhibiting residual stresses in the absence of external constraints. These bodies are endowed with a three-dimensional reference metric, which may not necessarily be immersible in physical space. Here, based on a recently developed theory for such bodies, we characterize the transition from flat to buckled e...

Delamination is one of the most common failure modes in composite structures. In particular, when the laminated composites are subjected to compressive loads, delamination becomes a constraint in the design process. In this study, the system is modeled as a plate supported by an elastic foundation. The elastic adhesive layer between the buckled sublaminates is represented by some parallel sprin...

INTRODUCTION: Micro Electro Mechanical Systems (MEMS) are fabricated with an in-plane fabrication technology. Out-of-plane structures can be designed to be assembled to provide thermal and electrical isolation from the substrate [1 -3]. These isolations can potentially improve the performance of a range of MEMS devices by decreasing any unwanted coupling effects or parasitic losses from the dev...

The Euler buckling theory states that the buckling critical strain is an inverse quadratic function of the length for a thin plate in the static compression process. However, the suitability of this theory in the dynamical process is unclear, so we perform molecular dynamics simulations to examine the applicability of the Euler buckling theory for the fast compression of the single-layer MoS2. ...