Modelling of Ductile Fracture of Strain-hardening Cement-based Composites - Novel Approaches Based on Microplane and Phase-field Method

Steinke, Christian; Zreid, Imadeddin; Kaliske, Michael

doi:10.1007/978-3-030-34851-9_10

Cited by 2 publications

(1 citation statement)

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“…With regard to the latter we highlight the contributions of Francfort and Marigo [1998], Bourdin et al [2000Bourdin et al [ , 2008, Amor et al [2009], Kuhn and Müller [2010], Miehe et al [2010a] and Pham et al [2011]. The phase-field approach to fracture is extremely versatile and has been extended to the modeling of duc-tile fracture (Miehe et al [2015a(Miehe et al [ , 2016a, Ambati et al [2015], Borden et al [2016], Alessi et al [2018a], Steinke et al [2020], Yin and Kaliske [2020] ), anisotropic fracturing (Li et al [2015], Teichtmeister et al [2017], Storm et al [2020] ) and fatigue fracture (Alessi et al [2018b], Lo et al [2019], Schreiber et al [2020], Carrara et al [2020]), just to name a few.…”

Section: Introductionmentioning

confidence: 99%

Modeling of hydraulically induced fractures in elastic‐plastic solids

Kienle

Keip

2019

Proc Appl Math and Mech

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Fracking, i.e. inducing fractures by hydraulic means, is a technique used for extraction of gas and petroleum from rock formations in the subsurface. Thereby a well is stimulated via fractures induced by a pressurized fluid which is injected into the wellbore. This leads to an increased permeability within the deep‐rock formations and finally to an increased flow of petroleum and natural gas out of the well. Because of its risks due to environmental issues, such as increased seismic activity or drinking water contamination, this technique is highly controversial in many countries. Numerical simulations can be used to gain a profound understanding of the involved physical processes leading to more precise estimates of associated risks and potentials. Of course, reliable numerical simulations must be based on accurate models and stable algorithms. Many of the existing models for hydraulically induced fractures are based on the assumption that the solid skeleton undergoes only non‐dissipative elastic deformations. However, there is experimental evidence that field measurements (e.g. net pressure) cannot be described with an elastic material law [1]. Hence we propose a framework that accounts also for dissipative plastic deformations within the solid skeleton. The elastic‐plastic material behavior is described by a Drucker–Prager‐type plasticity model based on [2,3]. It is linked to an elastic‐plastic failure criterion that drives the fractures. The fractures in turn are modeled by a phase‐field approach characterizing a regularization of a crack surface that converges for vanishing length‐scale parameter to a sharp crack [4]. Fluid contribution and interaction are incorporated by a Darcy–Biot‐type constitutive formulation [5]. By means of a representative numerical example the model capabilities are demonstrated.

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