Fifteen node tetrahedral elements for explicit methods in nonlinear solid dynamics

DOI10.1016/j.cma.2014.01.012zbMath1296.74109OpenAlexW2084963366MaRDI QIDQ459086

Kent T. Danielson

Publication date: 8 October 2014

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2014.01.012

zbMATH Keywords

tetrahedronmass lumpingexplicit time integrationmass matrix diagonalizationnonlinear solid dynamicssecond-order finite elements

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Kinematics of deformation (74A05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (8)

Curved node-to-face contact schemes for higher-order finite elements in lumped-mass explicit methods ⋮ A 10-node composite tetrahedral finite element for solid mechanics ⋮ Second-order pyramid element formulations suitable for lumped-mass explicit methods in nonlinear solid mechanics ⋮ A semi-meshless Lagrangian finite-volume framework based on Voronoi diagram for general elastoplastic Reissner-Mindlin shell ⋮ An Adaptive Polygonal Scaled Boundary Finite Element Method for Elastodynamics ⋮ Polyhedral finite elements for nonlinear solid mechanics using tetrahedral subdivisions and dual-cell aggregation ⋮ A Novel Triangular Prism Element Based on Smoothed Finite Element Method ⋮ The use of the local truncation error to improve arbitrary-order finite elements for the linear wave and heat equations

Uses Software

• LS-DYNA
• PRONTO3D
• ABAQUS
• FEAPpv
• IMPETUS Afea
• DYNA3D

Cites Work

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