Tag: maximum-entropy approximation

Accepted Paper: A volume-averaged nodal projection method for the Reissner-Mindlin plate model

Paper Accepted for Publication in Computer Methods in Applied Mechanics and Engineering A. Ortiz-Bernardin, Philip Köbrich, Jack S. Hale, Edgardo Olate-Sanzana, Stéphane P. A. Bordas, Sundararajan Natarajan, “A volume-averaged nodal projection method for the Reissner-Mindlin plate model.” ABSTRACT We introduce a novel meshfree Galerkin method for the solution of Reissner-Mindlin plate problems that is written in…

A volume-averaged nodal projection method for the Reissner-Mindlin plate model

Computer Methods in Applied Mechanics and Engineering In press. A. Ortiz-Bernardin, Philip Köbrich, Jack S. Hale, Edgardo Olate-Sanzana, Stéphane P. A. Bordas, Sundararajan Natarajan. Abstract We introduce a novel meshfree Galerkin method for the solution of Reissner-Mindlin plate problems that is written in terms of the primitive variables only (i.e., rotations and transverse displacement) and…

Maximum-Entropy Meshfree Method for Linear and Nonlinear Elasticity

Doctoral Dissertation By Alejandro A. Ortiz Office of Graduate Studies, University of California, Davis, California March 2011 ABSTRACT A Galerkin-based maximum-entropy meshfree method for linear and nonlinear elastic media is developed. The standard displacement-based Galerkin formulation is used to model compressible linear elastic solids, whereas the classical u-p mixed formulation for near-incompressible linear elastic media…

Paper Accepted: Improved robustness for nearly-incompressible large deformation meshfree simulations on Delaunay tessellations

Paper Accepted for Publication in Computer Methods in Applied Mechanics and Engineering A. Ortiz-Bernardin, M.A. Puso, N. Sukumar, “Improved robustness for nearly-incompressible large deformation meshfree simulations on Delaunay tessellations.” ABSTRACT A displacement-based Galerkin meshfree method for large deformation analysis of nearly-incompressible elastic solids is presented. Nodal discretization of the domain is defined by a Delaunay…