Finite element implementation of the Christensen failure criterion with zero tensile strength
Finite element implementation of the Christensen failure criterion with zero tensile strength
The Christensen failure criterion is a general criterion derived on the basis of Materials Failure Theory. The criterion is quite versatile and its creator also exemplified its use within soil mechanics in a version without tensile strength, in order to simulate the behaviour of sand. It seems that the criterion has never been implemented into the Finite Element Method, which is the goal of this paper. The failure criterion is taken as yield criterion together with linear elasticity and perfect plasticity. The model is implemented numerically and implicit integration is used for the stress update scheme. The challenge being that the yield surface processes several discontinuities, in the form of a curve, a line and singularity points. Examples are provided demonstrating the stability of the implementation.
J. Clausen
10th European Conference on Numerical Methods in Geotechnical Engineering (NUMGE2023)
2. Finite element, finite difference, discrete element, material point and other methods
https://doi.org/10.53243/NUMGE2023-352
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