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Novel quadratic Bézier triangular and tetrahedral elements using existing mesh generators: Extension to nearly incompressible implicit and explicit elastodynamics in finite strains

Chennakesava Kadapa Orcid Logo

International Journal for Numerical Methods in Engineering

Swansea University Author: Chennakesava Kadapa Orcid Logo

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DOI (Published version): 10.1002/nme.6042

Abstract

We present a novel unified finite element framework for performing computationally efficient large strain implicit and explicit elastodynamic simulations using triangular and tetrahedral meshes that can be generated using the existing mesh generators. For the development of a unified framework, we u...

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Published in: International Journal for Numerical Methods in Engineering
ISSN: 00295981
Published: 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa49069
first_indexed 2019-03-01T19:58:14Z
last_indexed 2019-03-20T19:56:06Z
id cronfa49069
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spelling 2019-03-20T13:15:01.8155378 v2 49069 2019-03-01 Novel quadratic Bézier triangular and tetrahedral elements using existing mesh generators: Extension to nearly incompressible implicit and explicit elastodynamics in finite strains de01927f8c2c4ad9dcc034c327ac8de1 0000-0001-6092-9047 Chennakesava Kadapa Chennakesava Kadapa true false 2019-03-01 MACS We present a novel unified finite element framework for performing computationally efficient large strain implicit and explicit elastodynamic simulations using triangular and tetrahedral meshes that can be generated using the existing mesh generators. For the development of a unified framework, we use Bézier triangular and tetrahedral elements which are directly amenable for explicit schemes using lumped mass matrices, and employ a mixed displacement-pressure formulation for dealing with the numerical issues arising due to volumetric and shear locking. We demonstrate the accuracy of the proposed scheme by studying several challenging benchmark problems in finite strain elastostatics and nonlinear elastodynamics modelled with nearly incompressible hyperelastic and von Mises elastoplastic material models. We show that Bézier elements, in combination with the mixed formulation, help in developing a simple unified finite element formulation that is accurate, robust and computationally very efficient for performing a wide variety of challenging nonlinear elastostatic and implicit and explicit elastodynamic simulations. Journal Article International Journal for Numerical Methods in Engineering 00295981 Bézier elements; Explicit elastodynamics; Mixed formulation; Nonlinear dynamics; Taylor impact bar 4 3 2019 2019-03-04 10.1002/nme.6042 https://onlinelibrary.wiley.com/doi/10.1002/nme.6042 COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS Swansea University 2019-03-20T13:15:01.8155378 2019-03-01T14:41:20.7943414 Faculty of Science and Engineering School of Mathematics and Computer Science - Computer Science Chennakesava Kadapa 0000-0001-6092-9047 1 0049069-01032019144235.pdf Bezier-FiniteStrain-MixedFormulation.pdf 2019-03-01T14:42:35.9800000 Output 7884099 application/pdf Accepted Manuscript true 2020-02-14T00:00:00.0000000 12 month embargo. true eng
title Novel quadratic Bézier triangular and tetrahedral elements using existing mesh generators: Extension to nearly incompressible implicit and explicit elastodynamics in finite strains
spellingShingle Novel quadratic Bézier triangular and tetrahedral elements using existing mesh generators: Extension to nearly incompressible implicit and explicit elastodynamics in finite strains
Chennakesava Kadapa
title_short Novel quadratic Bézier triangular and tetrahedral elements using existing mesh generators: Extension to nearly incompressible implicit and explicit elastodynamics in finite strains
title_full Novel quadratic Bézier triangular and tetrahedral elements using existing mesh generators: Extension to nearly incompressible implicit and explicit elastodynamics in finite strains
title_fullStr Novel quadratic Bézier triangular and tetrahedral elements using existing mesh generators: Extension to nearly incompressible implicit and explicit elastodynamics in finite strains
title_full_unstemmed Novel quadratic Bézier triangular and tetrahedral elements using existing mesh generators: Extension to nearly incompressible implicit and explicit elastodynamics in finite strains
title_sort Novel quadratic Bézier triangular and tetrahedral elements using existing mesh generators: Extension to nearly incompressible implicit and explicit elastodynamics in finite strains
author_id_str_mv de01927f8c2c4ad9dcc034c327ac8de1
author_id_fullname_str_mv de01927f8c2c4ad9dcc034c327ac8de1_***_Chennakesava Kadapa
author Chennakesava Kadapa
author2 Chennakesava Kadapa
format Journal article
container_title International Journal for Numerical Methods in Engineering
publishDate 2019
institution Swansea University
issn 00295981
doi_str_mv 10.1002/nme.6042
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Computer Science{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Computer Science
url https://onlinelibrary.wiley.com/doi/10.1002/nme.6042
document_store_str 1
active_str 0
description We present a novel unified finite element framework for performing computationally efficient large strain implicit and explicit elastodynamic simulations using triangular and tetrahedral meshes that can be generated using the existing mesh generators. For the development of a unified framework, we use Bézier triangular and tetrahedral elements which are directly amenable for explicit schemes using lumped mass matrices, and employ a mixed displacement-pressure formulation for dealing with the numerical issues arising due to volumetric and shear locking. We demonstrate the accuracy of the proposed scheme by studying several challenging benchmark problems in finite strain elastostatics and nonlinear elastodynamics modelled with nearly incompressible hyperelastic and von Mises elastoplastic material models. We show that Bézier elements, in combination with the mixed formulation, help in developing a simple unified finite element formulation that is accurate, robust and computationally very efficient for performing a wide variety of challenging nonlinear elastostatic and implicit and explicit elastodynamic simulations.
published_date 2019-03-04T08:49:16Z
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score 11.059721

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