We study the behavior of the solution of the Mindlin problem when the thickness becomes small, paying particular attention to the shear stress. We also propose a modification of a known scheme that allows the use of linear finite element approximation and we prove optimal error bounds.

The nite element method with rectangular meshes for the Reissner-Mindlin plate is analyzed. For a plate with thickness bounded below by a positive constant (moderately thick plate), derivative superconvergence of the nite element solution at the Gaussian points is justiied and optimal error estimates for both rotation and displacement are established.

G. B. Mindlin ~ , H. G. Solari 1'2, M. A. Natiello 3, R. Gilmore 1 , and X.-J. Hou 1 1 Department of Physics and Atmospheric Science, Drexel University, Philadelphia, PA 19104, USA 2 Present address: Departamento de Ffsica, FCEN-Universidad de Buenos Aires, Pabelldn I, Ciudad Universitaria, 1428 Buenos Aires, Argentina 3 Department of Quantum Chemistry, Uppsala University, Box 518, $751, 20 Upp...

A new method has been proposed in this study for the elastic-plastic buckling analysis of stiffened panels under global bending. In method, a simplified model built with application two theories plasticity, incremental theory (IT) and deformation (DT). The effect transverse shear through stiffener thickness considered using Mindlin-Reissner plate theory. governing differential equations have so...

This work aims to calculate interlaminar stress distribution through the thickness of multilayered composite shell structures by employing a novel nonlinear layer-wise finite element formulation. Adapting Mindlin– Reissner theory in each layer, shear-deformable presents shear distributions increasing number layers. The normal is then determined using difference solution general form equilibrium...

For plate structures, their random parameters can be regarded as a two-dimensional field in the plane. To solve theory considering field, an efficient strategy for stochastic finite element method was adopted. Firstly, used to establish structural model, which characteristics of parameter were considered, and mathematical expression its obtained through Karhunen–Loève expansion; secondly, point...

An impact of an elastic sphere with an elastic half space under no-slip conditions (infinitely large coefficient of friction) is studied numerically using the method of dimensionality reduction. It is shown that the rebound velocity and angular velocity, written as proper dimensionless variables, are determined by a function of only the ratio of tangential and normal stiffness ("Mindlin-ratio")...

Continuum element sensitivity analysis (CONTESA) and system optimization (SYSOPT) for Noise, Vibration, and Harshness (NVH) have been developed and applied to automobile structures for sizing, topology, and configuration design using Mindlin plate and Timoshenko beam theories. The topology optimization has been developed using the density approach, sequential linear programming, and the adjoint...

A meshless approach to the analysis of arbitrary Kirchhoff shells by the Element-Free Galerkin (EFG) method is presented. The shell theory used is geometrically exact and can be applied to deep shells. The method is based on moving least squares approximant. The method is meshless, which means that the discretization is independent of the geometric subdivision into “finite elements”. The satisf...