Microresonators used for microelectromechanical systems (MEMS) are becoming more and complex in terms of structural geometry mode shapes. Accompanying this increase complexity is the challenge to develop an accurate analytical method evaluate thermoelastic damping (TED). This paper firstly presents a generalized methodology TED axisymmetric vibration circular plate microresonators covered by mu...

This work presents a generalized Kirchhoff-Love shell theory that can explicitly capture fiber-induced anisotropy not only in stretching and out-of-plane bending, but also in-plane bending. setup is particularly suitable for heterogeneous fibrous materials such as textiles, biomaterials, composites pantographic structures. The presented direct extension of classical to incorporate the bending r...

We consider a two phase elastic thin film with soft inclusions subject to bending dominated deformations. The (void) may comprise asymptotically small droplets within the matrix. perform dimension reduction analysis and obtain novel ‘Blake-Zisserman-Kirchhoff’ functional on natural space of ‘flat fractured’ two-dimensional isometric immersions that combines Kirchhoff's classical plate theory Bl...

Materials that change their shape in response to external stimuli open up new prospects for efficient and versatile design shaping of three-dimensional objects. Here, we present a novel class micro-structures exhibiting an extension-bending coupling (EBC) effect, can be harnessed as elementary building block shape-shifting panels. They are built with single material network undulated ribbons. T...

Buckling analysis of rectangular plates subjected to various in-plane compressive loads using Kirchhoff plate theory is presented. The method of discrete singular convolution has adopted. Linearly varying, uniform and non-uniform distributed load conditions are considered on two-opposite edges for buckling. The results are obtained for different types of boundary conditions and aspect ratios. C...

Abstract Consider two points $P$ P and $Q$ Q on a surface. Modulo rotations about the normal vector to surface at , rotation can be defined that maps unit corresponding . With help of Weingarten’s formulae, new representations are established for components curvature tensor associated mean Ga...

We investigate structured arrays and rings in elasticity to design elastic platonic circuits that utilise resonant phenomena. Creating ring resonators, understanding their coupling input output arrays, allows for the development of including add–drop filters (ADFs) coupled resonator (CREAs), hence we envisage integrated devices. Structured point-masses placed atop a thin plate lead highly confi...

We develop a hydroelastic model based on a {3,2}-order sandwich composite panel theory and Wagner’s water impact theory for investigating the fluid–structure interaction during the slamming process. The sandwich panel theory incorporates the transverse shear and the transverse normal deformations of the core, while the face sheets are modeled with the Kirchhoff plate theory. The structural mode...