Abstract In this study, a new peridynamic Mindlin plate formulation is introduced by utilising Euler-Lagrange equations. The classical strain energy density of material point converted to its corresponding form using Taylor’s expansions. suitable for thick plates considering the transverse shear deformation. Material constants do not have any limitation in current formulation. Different types b...

A new low order membrane nite element is presented. The element formulation is based on the variational principle of Hughes and Brezzi employing an independent rotation eld. In the present work nonconforming interpolation is used for the drill rotation eld. Both triangular and quadrilateral elements are considered. Combined with the Reissner-Mindlin plate bending element of O~ nate, Zarate and ...

1. Abstract Equations governing the behavior of rectangular plates made of functionally graded materials (FGMs) are determined in this paper using the variational approach. Derivation of such equations is based on Reissner–Mindlin plate theory that is extended to handle two-constituent material distribution through the thickness. Material properties are assumed to vary with the power law in ter...

We present a new Neumann–Neumann-type preconditioner of large scale linear systems arising from plate and shell problems. The advantage of the new method is a smaller coarse space than those of earlier methods of the authors; this improves parallel scalability. A new abstract framework for Neumann–Neumann preconditioners is used to prove almost optimal convergence properties of the method. The ...

In a previous paper from the authors, the bounds from Kelsey et al. (1958) were applied to a sandwich panel including a folded core in order to estimate its shear forces stiffness (Lebée and Sab, 2010b). The main outcome was the large discrepancy of the bounds. Recently, Lebée and Sab (2011a) suggested a new plate theory for thick plates –the Bending-Gradient plate theory– which is the extensio...

In the present article, we consider a thermoelastic plate of Reissner-Mindlin-Timoshenko type with the hyperbolic heat conduction arising from Cattaneo’s law. In the absense of any additional mechanical dissipations, the system is often not even strongly stable unless restricted to the rotationally symmetric case, etc. We present a well-posedness result for the linear problem under general mixe...

In this paper, nonlinear static analysis of moderately thick plate made of functionally graded materials subjected to mechanical transverse loading is carried out using dynamic relaxation method. Mindlin first order shear deformation theory is employed to consider thick plate. Discretized equations are extracted for geometrically nonlinear behavior analysis.Loading Conditions and boundary condi...