Tag: meshfree methods

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…

Development and Assessment of An Efficient Numerical Method for Simulation of Nearly Incompressible Large Deformations Problems in Solid Mechanics

Principal Investigator: Alejandro Ortiz-Bernardin. In the era of simulation-based design, robust simulation tools are needed to efficiently analyze and accurately predict the performance of solids and structures for loadings and materials with large deformation response. Applications such as metal forming processes, kinematic response of soft biological tissues, earth moving and deep penetration in geotechnical/offshore engineering, and…