A 10-node composite tetrahedral finite element for solid mechanics

Ostien, Jakob T.; Foulk, J. W.; Mota, A.; Veilleux, M. G.

doi:10.1002/nme.5218

Title: A 10-node composite tetrahedral finite element for solid mechanics

Journal Article · Sun Feb 21 00:00:00 EST 2016 · International Journal for Numerical Methods in Engineering

DOI:https://doi.org/10.1002/nme.5218· OSTI ID:1512889

Ostien, Jakob T. ^[1]; Foulk, J. W. ^[1]; Mota, A. ^[1]; Veilleux, M. G. ^[1]

Sandia National Lab. (SNL-CA), Livermore, CA (United States)

We present a reformulation of the composite tetrahedral finite element first introduced by Thoutireddy et al. By choosing a different numerical integration scheme, we obtain an element that is more accurate than the one proposed in the original formulation. We also show that in the context of Lagrangian approaches, the gradient and projection operators derived from the element reformulation admit fully analytic expressions, which offer a significant improvement in terms of accuracy and computational expense. For plasticity applications, a mean-dilatation approach on top of the underlying Hu–Washizu variational principle proves effective for the representation of isochoric deformations. The performance of the reformulated element is shown by hyperelastic and inelastic calculations.

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Research Organization:: Sandia National Lab. (SNL-CA), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC04-94AL85000

OSTI ID:: 1512889

Report Number(s):: SAND-2015-6621J; 670404

Journal Information:: International Journal for Numerical Methods in Engineering, Vol. 107, Issue 13; ISSN 0029-5981

Publisher:: WileyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 24 works

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A Concept of Cell-Based Smoothed Finite Element Method Using 10-Node Tetrahedral Elements (CS-FEM-T10) for Large Deformation Problems of Nearly Incompressible Solids Onishi, Yuki International Journal of Computational Methods, Vol. 17, Issue 02 https://doi.org/10.1142/s0219876218450093	journal	October 2019