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3D numerical modelling of twisting cracks under bending and torsion of skew notched beams

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19857430.pdf (9,349Mb)
 
10.1016/j.engfracmech.2017.03.025
 
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hdl:2117/103402

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Benedetti, LorenzoMés informació
Cervera Ruiz, MiguelMés informacióMés informacióMés informació
Chiumenti, MicheleMés informacióMés informacióMés informació
Document typeArticle
Defense date2017-05
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
This work is protected by the corresponding intellectual and industrial property rights. Except where otherwise noted, its contents are licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
Abstract
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 displacement e-ue-u finite 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 PolyMethyl 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. In addition, the symmetric secant formulation and the compatibility condition between the standard irreducible method and the strain-displacement one is exploited, resulting in a significant speedup of the computational procedure.
CitationBenedetti, L., Cervera, M., Chiumenti, M. 3D numerical modelling of twisting cracks under bending and torsion of skew notched beams. "Engineering fracture mechanics", Maig 2017, vol. 176, p. 235-256. 
URIhttp://hdl.handle.net/2117/103402
DOI10.1016/j.engfracmech.2017.03.025
ISSN0013-7944
Publisher versionhttp://www.sciencedirect.com/science/article/pii/S0013794417300607
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  • Departament d'Enginyeria Civil i Ambiental - Articles de revista [3.404]
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