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On the use of reduced integration-based solid and solid shell finite elements for gradient-extended damage
Hagen Holthusen, Oliver Barfusz, Tim van der Velden, Tim Brepols, Stefanie Reese
Institute of Applied Mechanics (RWTH Aachen University), Germany
The investigation and finite element simulation of damage and fracture processes in (quasi-)brittle and ductile materials plays an important role in many engineering applications. For this purpose, gradient-extended damage can be used to obtain mesh-objective results in simulations involving material softening. Unfortunately, these simulation may suffer from different locking phenomena. To this end, appropriate finite element technologies to avoid spurious numerical phenomena, such as volumetric and shear locking can be employed. Within this contribution, a novel family of continuum finite elements for gradient-extended models is presented, which has recently been developed (see [1], [2]). Here, a geometrically nonlinear modeling framework for gradient-extended damage and plasticity [3] is used at the material point level, while low-order displacement-based solid and solid-shell elements are used on the element level. A tailored combination of reduced integration with hourglass stabilization, the enhanced assumed strain (EAS) method, and the assumed natural strain (ANS) method cures these most dominant locking phenomena. Additionally, in order to increase numerical performance, a polynomial approximation of the kinematic and constitutively dependent quantities within the weak forms is used, and thus, the contribution of the hourglass stabilization can be analytically integrated. The accuracy and efficiency of the proposed framework is demonstrated by means of several structural examples under various loading conditions.
References
[1] O. Barfusz, T. Brepols, T. van der Velden, J. Frischkorn and S. Reese, Computer Methods in Applied Mechanics and Engineering, 373:113440, 2021.
[2] O. Barfusz, T. van der Velden, T. Brepols, H. Holthusen and S. Reese, Computer Methods in Applied Mechanics and Engineering, 382:113884, 2021.
[3] T. Brepols, S. Wulfinghoff and S. Reese, International Journal of Plasticity, 129:102635, 2020.
