Torsion and bending failure of skew notched beams: 3D numerical modelling of quasi brittle materials with the mixed strain-displacement FEM

The testing of mode III and mixed mode failure is every so often encountered in the dedicated literature of mechanical characterization of brittle and quasi-brittle materials. In this work, the application of the mixed strain displacementfinite element formulation to three examples involving skew notched beams is presented. The use of this FE technology is effective in problems involving localization of strains in softening materials. The objectives of the paper are: (i) to test the mixed formulation in mode III and mixed mode failure and (ii) to present an enhancement in terms of computational time given by the kinematic compatibility between irreducible displacement-based and the mixed strain-displacement elements. Three tests of skew-notched beams are presented: Firstly, a three point bending test of a Poly- Methyl MethaAcrylate beam; secondly, a torsion test of a plain concrete prismatic beam with square base; finally, a torsion test of a cylindrical beam made of plain concrete as well. To describe the mechanical behavior of the material in the inelastic range, Rankine and Drucker-Prager failure criteria are used in both plasticity and isotropic continuum damage formats. The proposed mixed formulation is capable of yielding results close to the experimental ones in terms of fracture surface, peak load and global loss of carrying capability.

Presented at:
COMPLAS 2017. XIV International Conference on Computational Plasticity. Fundamentals and Applications, UPC- Universitat Politècnica de Catalunya, Barcelona, Spain, 5th-7th September 2017
Sep 07 2017

 Record created 2018-04-29, last modified 2018-05-01

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