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Non linear dynamic analysis of solids using linear triangles and tetrahedra

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Oñate Ibáñez de Navarra, EugenioMés informacióMés informacióMés informació
Rojek, Jerzy
Taylor, R L
Zienkiewicz, Olgierd Cecil
Document typeConference report
Defense date2003
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
Abstract
The basis of the FIC method is the satisfaction of the standard equations for balance of momentum (equilibrium of forces) and mass conservation in a domain of finite size and retaining higher order terms in the Taylor expansions used to express the different terms of the differential equations over the balance domain. The modified differential equations contain additional terms which introduce the necessary stability in the equations to overcome the volumetric locking problem in incompressible situations. The same ideas are applied in this paper to derive a stabilized formulation for non linear dynamic finite element analysis of quasi incompressible and fully-incompressible solids using linear triangles and tetrahedra. Examples of application of the new stabilized formulation to the semi-implicit and explicit non linear transient dynamic analysis of an impact problem and a bulk forming process are presented.
CitationOñate, E., Rojek, J., Taylor, R., Zienkiewicz, O.C. Non linear dynamic analysis of solids using linear triangles and tetrahedra. A: International Conference on Computational Plasticity. "Computational plasticity VII : fundamentals and applications : proceedings of the seventh International Conference on Computational Plasticity held in Barcelona, Spain, 7-10 April 2003". Barcelona: 2003, p. 1-19. 
URIhttp://hdl.handle.net/2117/107561
DLB. 16931-2003
ISBN8495999226
Publisher versionhttp://www.cimne.com/eoOld/publicaciones/files/Complas_con219.pdf
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