Nonlinear finite element analysis within strain gradient elasticity: Reissner-Mindlin plate theory versus three-dimensional theory
نویسندگان
چکیده
Nonlinear plate bending within Mindlin's strain gradient elasticity theory (SGT) is investigated by employing somewhat non-standard finite element methods. The main goal to compare the results provided geometrically nonlinear three-dimensional (3D) and Reissner–Mindlin theory, i.e., first-order shear deformation (FSDT), SGT. For 3D Green–Lagrange relations are adopted, while von Kármán strains employed for FSDT. matrix-vector forms of energy functionals derived both models. In order perform corresponding discretizations, a quasi-C1-continuous 4-node tetrahedral solid 6-node triangular model model, respectively. derivatives primal problem quantities as additional nodal values respond continuity requirements class C1. A variety computational highlighting differences between FSDT models given two different geometries: rectangular with circular hole an elliptical plate.
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1Department of Mathematics, Purdue University, 1395 Mathematical Sciences Building, West Lafayette, IN 47907-1395, USA. Email: [email protected]. 2Department of Mathematics and Statistics, University of Arkansas at Little Rock, Little Rock, AR 72204, USA. Email: [email protected]. 3MAB, CNRS UPRESA 5466, Université de Bordeaux I, 351 Cours de la Libération, 33400 Takence, France. Email: hzhang@m...
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ژورنال
عنوان ژورنال: European Journal of Mechanics A-solids
سال: 2021
ISSN: ['1873-7285', '0997-7538']
DOI: https://doi.org/10.1016/j.euromechsol.2021.104221