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Fracture mechanical behaviour of visco‐elastic materials
Author(s) -
Näser Bastian,
Kaliske Michael,
Dal Hüsnü
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700211
Subject(s) - fracture (geology) , mechanics , body force , discretization , deformation (meteorology) , materials science , structural engineering , physics , mathematics , composite material , mathematical analysis , engineering
The material force approach is an efficient, elegant and accepted means to compute the J‐integral as a fracture mechanical parameter for elastic and inelastic materials. With the formulation of a multiplicative split of the deformation gradient at hand, rate‐dependent (visco‐elastic) materials based on the Bergström‐Boyce‐Model can be investigated. For these investigations, the so‐call material body forces have to be computed to separate the driving force acting on the inelastic zone around the crack tip from the driving force acting on the crack tip itself, representing the crack driving force or the J‐integral, respectively. For that purpose, the complete balance for the material motion problem for rate‐dependent, inelastic materials has to be known and the balance has to be fulfilled at every nodal point in a finite element discretization. In this contribution, the so‐called dwell effect should serve as an example for the application of the material force method for inelastic materials. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)