Journal article
On the perturbed Lagrangian formulation for nearly incompressible and incompressible hyperelasticity
Computer methods in applied mechanics and engineering, Vol.142(3), pp.335-351
1997
DOI: 10.1016/S0045-7825(96)01139-5
Abstract
A perturbed Lagrangian formulation for nearly incompressible and incompressible hyperelasticity is developed by performing a conjugate transformation on the volumetric energy function. The formulation is developed without reference to any specific material models or volumetric energy functions. Solution existence conditions for general nearly incompressible hyperelasticity problems and their discrete counterparts are described. A discussion on the convergence of nearly incompressible solutions to an incompressible solution of continuous as well as discrete hyperelasticity problems is given. The rate of convergence with respect to the compressibility parameter is shown to be one in several numerical examples.
Details
- Title: Subtitle
- On the perturbed Lagrangian formulation for nearly incompressible and incompressible hyperelasticity
- Creators
- J.S Chen - Department of Mechanical Engineering, University of Iowa, Iowa City, IA 52242, USAW Han - Department of Mathematics, University of Iowa, Iowa City, IA 52242, USAC.T Wu - Department of Mechanical Engineering, University of Iowa, Iowa City, IA 52242, USAW Duan - Department of Mechanical Engineering, University of Iowa, Iowa City, IA 52242, USA
- Resource Type
- Journal article
- Publication Details
- Computer methods in applied mechanics and engineering, Vol.142(3), pp.335-351
- Publisher
- Elsevier B.V
- DOI
- 10.1016/S0045-7825(96)01139-5
- ISSN
- 0045-7825
- eISSN
- 1879-2138
- Language
- English
- Date published
- 1997
- Academic Unit
- Mathematics
- Record Identifier
- 9983985984702771
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