Computational Physics GroupKarel Matous |
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Stabilized four-node tetrahedron with nonlocal pressure formodeling hyperelastic materialsP. Areias1 and K. Matous1,2 1Computational Science and Engineering 2Department of Aerospace Engineering University of Illinois at Urbana-Champaign Urbana, IL 61801, USA. AbstractNonlinear hyperelastic response of reinforced elastomers is modeled using a novel three-dimensional mixed finite element method with a nonlocal pressure field. The element is unconditionally convergent and free of spurious pressure modes. Nonlocal pressure is obtained by an implicit gradient technique and obeys the Helmholtz equation. Physical motivation for this nonlocality is shown. An implicit finite element scheme with consistent linearization is presented. Finally, several hyperelastic examples are solved to demonstrate the computational algorithm including the inf-sup and verifications tests. Conclusions
AcknowledgmentThe authors gratefully acknowledge support from Alliant Techsystems (ATK-21316), with J. Thompson and Dr. I.L. Davis serving as program monitors, and from the Center for Simulation of Advanced Rockets (CSAR) under contract number B523819 by the U.S. Department of Energy as a part of its Advanced Simulation and Computing program (ASC). The authors also thank Prof. Michael Heath for numerous suggestions that improved the presentation of this paper. Download paper here © 2009 Notre Dame and Dr.
Karel Matous
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