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A mixed displacement-pressure formulation for numerical analysis of plastic failure. (English) Zbl 0910.73063
This paper describes the formulation of mixed displacement-pressure elements with interpolation functions for pressures and displacements, and presents application to elastic and contained viscoplastic failure problems. It is shown how such different elements, like the T3P3 (linear displacements and pressures triangle) or the T6P6 (quadratic triangle in both variables), avoid volumetric locking and circumvent many usual restrictions. Indeed, the formulation allows arbitrary interpolations as all restrictions are removed. However, the proposed formulation does not improve other aspects of element behaviour such as bending, and, therefore, the linear triangle is not recommended. Finally, performance of the quadratic T6P6 triangle is assessed using boundary value problems for which analytical solutions are available. Robustness against distortion is checked, and a good overall performance of this element is found.

74S05 Finite element methods applied to problems in solid mechanics
74R99 Fracture and damage
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