On the analytical derivation of consistent density-corrected tangent operators for simulation of compressible porous materials

Authors:
Rodrigo Rossi;Marcelo Krajnc Alves
Affiliations:
Departamento de Engenharia Mecínica, Universidade Federal do Rio Grande do Sul, Rua Sarmento Leite, 425, Porto Alegre, RS 90046-902, Brazil;Departamento de Engenharia Mecínica, Universidade Federal de Santa Catarina, Florianópolis, SC 88010-970, Brazil
Venue:
Computers and Structures
Year:
2011

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Abstract

In this work, we develop a strategy to derive the tangent modulus A that takes into account the corrections imposed by the evolution of the relative density in the analysis of density-dependent materials, compressible materials. Special attention is given to the analytical derivation of consistent density-corrected tangent operators, which means that explicit formulas are derived without any approximations. The whole procedure depends strongly on the choice of the stress-strain measure and on the employed algorithms. Here, we present a Lagrangian finite deformation version. Numerical examples are presented in order to attest the proposed methodology.