A micromechanics-based variational phase-field model for fracture in geomaterials with brittle-tensile and compressive-ductile behavior

Ulloa, Jacinto; Wambacq, Jef; Alessi, Roberto; Samaniego, Esteban; Degrande, Geert; François, Stijn

doi:10.1016/j.jmps.2021.104684

Cited by 31 publications

(28 citation statements)

References 136 publications

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“…Other studies have taken pressure-dependent frictional behavior into account [78], as well as plastic coupling [79][80][81][82]. More recently, a micromechanics-based approach to fracture in geomaterials was proposed [83,84], where the macroscopic crack phase-field and the plastic strain tensor are linked to mechanisms at the microcrack level. In addition to preserving variational consistency, this approach provides a physically meaningful description of tensile-brittle and compressive-ductile behavior, without employing heuristic energy splits.…”

Section: Introductionmentioning

confidence: 99%

“…The purpose of the present work is to introduce a new hydromechanical coupled model able to describe the main features of geomaterial failure in fluid-saturated conditions, including both brittle and ductile behavior. In contrast with purely phenomenological models, we take the micromechanics-based phase-field approach to tensile-brittle and compressive-ductile fracture, recently proposed by Ulloa et al [83], as a point of departure, and extend the formulation to hydromechanical coupling under saturated conditions. The resulting model can thus be viewed as a multiphysics extension of the model presented in Ulloa et al [83].…”

Section: Introductionmentioning

confidence: 99%

“…In contrast with purely phenomenological models, we take the micromechanics-based phase-field approach to tensile-brittle and compressive-ductile fracture, recently proposed by Ulloa et al [83], as a point of departure, and extend the formulation to hydromechanical coupling under saturated conditions. The resulting model can thus be viewed as a multiphysics extension of the model presented in Ulloa et al [83].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Variational modeling of hydromechanical fracture in saturated porous media: A micromechanics-based phase-field approach

Ulloa

Noii

Alessi

et al. 2022

Computer Methods in Applied Mechanics and Engineering

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Variational modeling of hydromechanical fracture in saturated porous media: A micromechanics-based phase-field approach

Ulloa

Noii

Alessi

et al. 2022

Computer Methods in Applied Mechanics and Engineering

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“…The main driving force for these developments is the possibility to handle complex fracture phenomena within numerical methods in two and three dimensions. In recent years, several brittle [5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27] and ductile [28,29,30,31,32,33,34,35,36,37,38,39,40,41] phase-field fracture formulations have been proposed in the literature. These studies range from the modeling of Figure 1: Offshore Wind Turbine (source: germanoffshorewind.org) with different concrete microstructures.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic failure mechanisms via Monte Carlo simulations of complex microstructures

Noii,

Khodadadian,

Aldakheel

2022

Preprint

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A probabilistic approach to phase-field brittle and ductile fracture with random material and geometric properties is proposed within this work. In the macroscopic failure mechanics, materials properties and exactness of spatial quantities (of different phases in the geometrical domain) are assumed to be homogeneous and deterministic. This is unlike the lower-scale with strong fluctuation in the material and geometrical properties. Such a response is approximated through some uncertainty in the model problem. The presented contribution is devoted to providing a mathematical framework for modeling uncertainty through stochastic analysis of a microstructure undergoing brittle/ductile failure. Hereby, the proposed model employs various representative volume elements with random distribution of stiff-inclusions and voids within the composite structure. We develop an allocating strategy to allocate the heterogeneities and generate the corresponding meshes in two-and three-dimensional cases. Then the Monte Carlo finite element technique is employed for solving the stochastic PDE-based model and approximate the expectation and the variance of the solution field of brittle/ductile failure by evaluating a large number of samples. For the prediction of failure mechanisms, we rely on the phase-field approach which is a widely adopted framework for modeling and computing the fracture phenomena in solids. Incremental perturbed minimization principles for a class of gradient-type dissipative materials are used to derive the perturbed governing equations. This analysis enables us to study the highly heterogeneous microstructure and monitor the uncertainty in failure mechanics. Several numerical examples are given to examine the efficiency of the proposed method.

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“…Anisotropic material response manifests itself in terms of deformation [27,42] and/or preferential fracture propagation [31,53]. In modeling anisotropy within the phase field framework, anisotropic fracture toughness has been mostly achieved through manipulation of the fracture surface energy term where one applies structural tensors [7,9,23,29,30,50] or assign direction dependent fracture toughness [15,20,23,43,46,51] to encourage fracture propagation in certain directions. While many studies are available for anisotropic fracture toughness, only a few have studied anisotropic constitutive model in phase field approaches [33,40,52].…”

Section: Introductionmentioning

confidence: 99%

Orthogonal decomposition of anisotropic constitutive models for the phase field approach to fracture

Ziaei-Rad,

Mollaali,

Nagel

et al. 2022

Preprint

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We propose a decomposition of constitutive relations into crack-driving and persistent portions, specifically designed for materials with anisotropic/orthotropic behavior in the phase field approach to fracture to account for the tension-compression asymmetry. This decomposition follows a variational framework, satisfying the orthogonality condition for anisotropic materials. This implies that the present model can be applied to arbitrary anisotropic elastic behavior in a three-dimensional setting. On this basis, we generalize two existing models for tension-compression asymmetry in isotropic materials, namely the 'volumetric-deviatoric' model [5] and the 'no-tension' model [22], towards materials with anisotropic nature. Two benchmark problems, single notched tensile shear tests, are used to study the performance of the present model. The results can retain the anisotropic constitutive behavior and the tension-compression asymmetry in the crack response, and are qualitatively in accordance with the expected behavior for orthotropic materials. Furthermore, to study the direction of maximum energy dissipation, we modify the surface integral based energy release computation, G θ , to account only for the crack-driving energy. The computed energies with our proposed modifications predict the fracture propagation direction correctly compared with the standard G θ method.

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A micromechanics-based variational phase-field model for fracture in geomaterials with brittle-tensile and compressive-ductile behavior

Cited by 31 publications

References 136 publications

Variational modeling of hydromechanical fracture in saturated porous media: A micromechanics-based phase-field approach

Variational modeling of hydromechanical fracture in saturated porous media: A micromechanics-based phase-field approach

Probabilistic failure mechanisms via Monte Carlo simulations of complex microstructures

Orthogonal decomposition of anisotropic constitutive models for the phase field approach to fracture

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