functionally gradedpoisson’s ratio structures have been developed for critical protection. in thispaper, the static bending and buckling of fgpr nanoscale beam are studied basedon the nonlocal timoshenko beam model, in which both young’s modulus andpoisson’s ratio are assumed to vary continuously in the thickness direction. byutilizing total potential energy principle, equilibrium equations are...

This paper is about discrete sensitivity analysis. A triangular bending element with constant moment and six degrees of freedom is used. The required derivatives for sensitivity analysis are calculated explicitly. These formulations, finite element method and sequential linear programming are utilized to find shape optimization of plate bending structures. The numerical examples, which show the...

in the present research, the effects of delamination size and location on vibration characteristics of laminated composite beams are investigated both analytically and numerically. in the analytical method, the delaminated beam is modeled as four interconnected euler–bernoulli beams and the constrained and free mode models are both simulated. the differential stretching and the bending-extensio...

laser forming is a modern process which is mainly used for forming metals. different lasers are used in this regard that includes nd: yag and co2. in this study, forming bi-layer sheets of aluminum/ceramic by laser was investigated. furthermore, effect of uniform and gaussian heat flux distribution in different power, velocity, and beam diameters on bending angle was studied. fem simulation ind...

Results are presented from a numerical investigation of the effect of stacking sequence on energy release rate distribution in laminated carbon fibre reinforced epoxy double cantilever beam, single leg bending and end-notched flexure test specimens. The deformation behaviour of the specimens has been computed by three-dimensional nonlinear finite element analyses using a recently developed laye...

Various corotational schemes for solid, shell, bending plate and beam elements have been proposed so far. Nevertheless, this approach has rarely been utilized for membrane problems. In this paper, a new quadrilateral element will be suggested for solving nonlinear membranes. The simplicity, rapid convergence and high accuracy of the formulation are the three main characteristics of the presente...

The objective of this work is to study the large deflection of geometrically asymmetric metal foam core sandwich beam under transverse loading by a fiat punch. A yield criterion is proposed for geometrically asymmetric metal foam core sandwich structures, and then analytical solution for the large deflection of a fully clamped slender sandwich beam is obtained, in which the interaction of bendi...

We consider a bilinear reduced-strain finite element of the MITC family for a shallow Reissner-Naghdi type shell. We estimate the consistency error of the element in both membraneand bending-dominated states of deformation. We prove that in the membrane-dominated case, under severe assumptions on the domain, the finite element mesh and the regularity of the solution, an error bound O(h + t−1h1+...

This paper is about discrete sensitivity analysis. A triangular bending element with constant moment and six degrees of freedom is used. The required derivatives for sensitivity analysis are calculated explicitly. These formulations, finite element method and sequential linear programming are utilized to find shape optimization of plate bending structures. The numerical examples, which show the...