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Finite element modeling of quasi-brittle cracks in 2D and 3D with enhanced strain accuracy
The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-017-1438-8 ; This paper discusses the finite element modeling of cracking in quasi-brittle materials. The problem is addressed via a mixed strain/displacement finite element formulation and an isotropic damage constitutive model. The proposed mixed formulation is fully general and is applied in 2D and 3D. Also, it is independent of the specific finite element discretization considered; it can be equally used with triangles/tetrahedra, quadrilaterals/hexahedra and prisms. The feasibility and accuracy of the method is assessed through extensive comparison with experimental evidence. The correlation with the experimental tests shows the capacity of the mixed formulation to reproduce the experimental crack path and the force–displacement curves with remarkable accuracy. Both 2D and 3D examples produce results consistent with the documented data. Aspects related to the discrete solution, such as convergence regarding mesh resolution and mesh bias, as well as other related to the physical model, like structural size effect and the influence of Poisson’s ratio, are also investigated. The enhanced accuracy of the computed strain field leads to accurate results in terms of crack paths, failure mechanisms and force displacement curves. Spurious mesh dependency suffered by both continuous and discontinuous irreducible formulations is avoided by the mixed FE, without the need of auxiliary tracking techniques or other computational schemes that alter the continuum mechanical problem. ; Peer Reviewed ; Postprint (author's final draft)
Finite element modeling of quasi-brittle cracks in 2D and 3D with enhanced strain accuracy
The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-017-1438-8 ; This paper discusses the finite element modeling of cracking in quasi-brittle materials. The problem is addressed via a mixed strain/displacement finite element formulation and an isotropic damage constitutive model. The proposed mixed formulation is fully general and is applied in 2D and 3D. Also, it is independent of the specific finite element discretization considered; it can be equally used with triangles/tetrahedra, quadrilaterals/hexahedra and prisms. The feasibility and accuracy of the method is assessed through extensive comparison with experimental evidence. The correlation with the experimental tests shows the capacity of the mixed formulation to reproduce the experimental crack path and the force–displacement curves with remarkable accuracy. Both 2D and 3D examples produce results consistent with the documented data. Aspects related to the discrete solution, such as convergence regarding mesh resolution and mesh bias, as well as other related to the physical model, like structural size effect and the influence of Poisson’s ratio, are also investigated. The enhanced accuracy of the computed strain field leads to accurate results in terms of crack paths, failure mechanisms and force displacement curves. Spurious mesh dependency suffered by both continuous and discontinuous irreducible formulations is avoided by the mixed FE, without the need of auxiliary tracking techniques or other computational schemes that alter the continuum mechanical problem. ; Peer Reviewed ; Postprint (author's final draft)
Finite element modeling of quasi-brittle cracks in 2D and 3D with enhanced strain accuracy
Cervera Ruiz, Miguel (Autor:in) / Barbat Vlad, Gabriel (Autor:in) / Chiumenti, Michele (Autor:in) / Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental / Centre Internacional de Mètodes Numèrics en Enginyeria / Universitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria
01.11.2017
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits , Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures , Brittleness--Mathematical models , Damage , Cracking , Mixed finite elements , Strain localization , Structural failure , Fragilitat -- Models matemàtics
Finite element modeling of quasi-brittle cracks in 2D and 3D with enhanced strain accuracy
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Finite element modeling of quasi-brittle cracks in 2D and 3D with enhanced strain accuracy
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A Boundary Element Analysis of Quasi-Brittle Solids Containing Cracks
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Modeling of stochastic properties of fast cracks in quasi-brittle materials
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