G. Himpel, E. Kuhl, A. Menzel, P. Steinmann1
CMES-Computer Modeling in Engineering & Sciences, Vol.8, No.2, pp. 119-134, 2005, DOI:10.3970/cmes.2005.008.119
Abstract The changing mass of biomaterials can either be modelled at the constitutive level or at the kinematic level. This contribution attends on the description of growth at the kinematic level. The deformation gradient will be multiplicatively split into a growth part and an elastic part. Hence, in addition to the material and the spatial configuration, we consider an intermediate configuration or grown configuration without any elastic deformations. With such an ansatz at hand, contrary to the modelling of mass changes at the constitutive level, both a change in density and a change in volume can be modelled.
The algorithmic realisation… More >
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