2017
DOI: 10.1007/s00466-017-1459-3
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Phase-field modeling of fracture in variably saturated porous media

Abstract: We propose a mechanical and computational model to describe the coupled problem fuid flow, deformation and cracking in variably saturated porous media. A classical poromechanical formulation is adopted and coupled with a phase-field formulation for the fracture problem. The latter has the advantage of being able to reproduce arbitrarily complex crack paths without introducing discontinuities on a fixed mesh. The obtained simulation results show good qualitative agreement with desiccation experiments on soils f… Show more

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Cited by 88 publications
(48 citation statements)
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“…The final step of the presented analysis is the derivation of the optimal lower bound for r (and, hence, for ρ). As before, we insert (56) into E S (α) in (51) and arrive at…”
Section: ρ-Penalization: Optimal Profile For the Linear Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…The final step of the presented analysis is the derivation of the optimal lower bound for r (and, hence, for ρ). As before, we insert (56) into E S (α) in (51) and arrive at…”
Section: ρ-Penalization: Optimal Profile For the Linear Modelmentioning
confidence: 99%
“…We mention the papers by Del Piero et al [7], Lancioni and Royer-Carfagni [8], Amor et al [9], Freddi and Royer-Carfagni [10,11], Kuhn and Müller [12], Miehe et al [13,14], Pham et al [15], Borden [16], Borden et al [17], Vignollet et al [18], Mesgarnejad et al [19], Kuhn et al [20], Ambati et al [21], Strobl and Seelig [22], Weinberg and Hesch [23], Tanné et al [24], Sargado et al [25], Gerasimov et al [26], where various formulations are developed and validated. Recently, the framework has been also extended to ductile (elasto-plastic) fracture [27,28,29,30,31,32,33], fracture in films [34,35], shells [36,37,38,39], fracture under thermal loading [40,41,42], hydraulic fracture [43,44,45,46,47,48], fracture in porous media [49,50,51], anisotropic fracture [52,...…”
Section: Introductionmentioning
confidence: 99%
“…We mention the papers by Amor et al [7], Miehe et al [8,9], Kuhn and Müller [10], Pham et al [11], Borden et al [12], Mesgarnejad et al [13], Kuhn et al [14], Ambati et al [15], Wu et al [16], where various formulations are developed and validated. Recently, the framework has been also extended to ductile (elasto-plastic) fracture [17][18][19][20][21][22], pressurized fracture in elastic and porous media [23,24], fracture in films [25] and shells [26][27][28], and multi-field fracture [29][30][31][32][33][34][35][36]. Non-intrusive global/local approaches have also been applied to a quite large number of situations: the computation of the propagation of cracks in a sound model using the extended finite element method (XFEM) [37], the computation of assembly of plates introducing realistic non-linear 3D modeling of connectors [38], the extension to non-linear domain decomposition methods [39] and to explicit dynamics [40,41] with an application to the prediction of delamination under impact using Abaqus [42].…”
Section: Introductionmentioning
confidence: 99%
“…Only the quasi-static brittle fracture case is considered. The counterpart of the weak momentum equation in Eq: (20) for the quasistatic case with the FCM is…”
Section: Finite Cell Formulation For Phase-field Modeling Of Quasi-stmentioning
confidence: 99%
“…Similarly, the counterpart of the weak phasefield equation in Eq: (20) for the quasi-static case and the FCM is…”
Section: Finite Cell Formulation For Phase-field Modeling Of Quasi-stmentioning
confidence: 99%