Premium
Modelling of microstructural void evolution with configurational forces
Author(s) -
Timmel M.,
Kaliske M.,
Kolling S.
Publication year - 2009
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200800142
Subject(s) - microscale chemistry , homogenization (climate) , representative elementary volume , materials science , finite element method , hyperelastic material , void (composites) , discretization , mechanics , microstructure , softening , eigenstrain , micromechanics , structural engineering , composite material , residual stress , mathematics , physics , engineering , mathematical analysis , biodiversity , ecology , mathematics education , biology , composite number
We discuss the effect of material softening during cyclic loading. The decrease of stress is caused by a damage evolution in the microscale, e.g. due to micro‐void growth. For a numerical treatment of this material behaviour, phenomenological damage approaches are used in daily engineering practice. For a better understanding of the micromechanical process, multiscale methods are becoming increasingly important. The physical quantities which are responsible for the microstructural evolution associated with the damage process are transferred into the numerical model. In this context, the method of configurational forces is used to describe the geometrical changes of damaged areas. With the help of a homogenization technique, macro‐ and microscale are coupled. In consequence, each Gaussian point of the macromechanical finite element discretization represents a microstructure (representative volume element ‐ RVE), where the microscale evolves during the loading process according to observable damage phenomena. We present the general case of hyperelastic materials at finite strains.