Tag: volumetric locking

Accepted Paper: A MINI element over star convex polytopes

Paper Accepted for Publication in Finite Elements in Analysis and Design Amrita Francis, Alejandro Ortiz-Bernardin, Stéphane P. A. Bordas, Sundararajan Natarajan, “A MINI element over star convex polytopes” ABSTRACT In this paper, we extend the concept of MINI element over triangles to star convex arbitrary polytopes. This is achieved by employing the volume averaged nodal…

A MINI element over star convex polytopes

Finite Elements in Analysis and Design Volume 172, May 2020, 103368 Amrita Francis, Alejandro Ortiz-Bernardin, Stéphane P. A. Bordas, Sundararajan Natarajan. Abstract In this paper, we extend the concept of MINI element over triangles to star convex arbitrary polytopes. This is achieved by employing the volume averaged nodal projection (VANP) method over polytopes in combination…

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…