Tag: meshfree methods

Robust Meshfree Methods for Solid Mechanics Simulations

A talk given by A. Ortiz-Bernardin at the Encuentro de Elasticidad No Lineal, Homogenización y Fractura, June 23 – 24, 2015, Santiago, Chile.   Robust Meshfree Methods for Solid Mechanics Simulations Alejandro Ortiz-Bernardin Department of Mechanical Engineering Universidad de Chile Av. Beauchef 851, Santiago, 8370456, Chile aortizb@ing.uchile.cl Alejandro Ortiz-Bernardin, Ph.D.   ABSTRACT In this talk, I will…

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…

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

Computer Methods in Applied Mechanics and Engineering Volume 293, 15 August 2015, Pages 348 – 374 A. Ortiz-Bernardin,  M.A. Puso and N. Sukumar 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 tessellation (three-node triangles and four-node tetrahedra), which is used to…

Paper Submitted: Meshfree Volume-Averaged Nodal Projection Method for Nearly-Incompressible Elasticity

A. Ortiz-Bernardin, J.S. Hale, C. J. Cyron, “Meshfree volume-averaged nodal projection method for nearly-incompressible elasticity,” submitted. ABSTRACT We present a displacement-based Galerkin meshfree method for the analysis of nearly-incompressible linear elastic solids, where low-order simplicial tessellations (i.e., 3-node triangular or 4-node tetrahedral meshes) are used as a background structure for numerical integration of the weak…