Finite deformation cohesive zone phase field model for crack propagation in multi-phase microstructures

Tarafder, Preetam; Dan, Saikat; Ghosh, Somnath

doi:10.1007/s00466-020-01874-6

Cited by 28 publications

(29 citation statements)

References 86 publications

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“…for example [27,33,34,35,28,36,37,38]. In case of large deformation kinematics, similar approaches can be found [39,40,41,42,43]. In this contribution, the so-called tensile split [27,Section 3…”

Section: Diffuse Modeling Of Elastic Heterogeneitiesmentioning

confidence: 78%

Phase-field modeling of fracture in heterogeneous materials: jump conditions, convergence and crack propagation

2020

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In this contribution, a variational diffuse modeling framework for cracks in heterogeneous media is presented. A static order parameter smoothly bridges the discontinuity at material interfaces, while an evolving phase-field captures the regularized crack. The key novelty is the combination of a strain energy split with a partial rank-I relaxation in the vicinity of the diffuse interface. The former is necessary to account for physically meaningful crack kinematics like crack closure, the latter ensures the mechanical jump conditions throughout the diffuse region. The model is verified by a convergence study, where a circular bi-material disc with and without a crack is subjected to radial loads. For the uncracked case, analytical solutions are taken as reference. In a second step, the model is applied to crack propagation, where a meaningful influence on crack branching is observed, that underlines the necessity of a reasonable homogenization scheme. The presented model is particularly relevant for the combination of any variational strain energy split in the fracture phase-field model with a diffuse modeling approach for material heterogeneities.

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Section: Diffuse Modeling Of Elastic Heterogeneitiesmentioning

confidence: 78%

Phase-field modeling of fracture in heterogeneous materials: jump conditions, convergence and crack propagation

2020

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“…In particular due to the over-complicated geometry and content of concrete at multi-scales, in Figure 8 an example for PF modeling of water-induced failure mechanics in concrete microstructure is presented. In recent years, several brittle [ 259 , 260 , 261 , 262 , 263 , 264 , 265 , 266 , 267 , 268 , 269 , 270 , 271 , 272 , 273 , 274 , 275 , 276 , 277 , 278 , 279 , 280 , 281 , 282 , 283 , 284 , 285 , 286 , 287 , 288 , 289 , 290 , 291 , 292 , 293 , 294 , 295 , 296 ] and ductile [ 149 , 297 , 298 , 299 , 300 , 301 , 302 , 303 , 304 , 305 , 306 , 307 , 308 ...…”

Section: Phase-field Modeling For Fracture Mechanismsmentioning

confidence: 99%

A Review on Cementitious Self-Healing and the Potential of Phase-Field Methods for Modeling Crack-Closing and Fracture Recovery

et al. 2020

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Improving the durability and sustainability of concrete structures has been driving the enormous number of research papers on self-healing mechanisms that have been published in the past decades. The vast developments of computer science significantly contributed to this and enhanced the various possibilities numerical simulations can offer to predict the entire service life, with emphasis on crack development and cementitious self-healing. The aim of this paper is to review the currently available literature on numerical methods for cementitious self-healing and fracture development using Phase-Field (PF) methods. The PF method is a computational method that has been frequently used for modeling and predicting the evolution of meso- and microstructural morphology of cementitious materials. It uses a set of conservative and non-conservative field variables to describe the phase evolutions. Unlike traditional sharp interface models, these field variables are continuous in the interfacial region, which is typical for PF methods. The present study first summarizes the various principles of self-healing mechanisms for cementitious materials, followed by the application of PF methods for simulating microscopic phase transformations. Then, a review on the various PF approaches for precipitation reaction and fracture mechanisms is reported, where the final section addresses potential key issues that may be considered in future developments of self-healing models. This also includes unified, combined and coupled multi-field models, which allow a comprehensive simulation of self-healing processes in cementitious materials.

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“…Among other approaches suitable to model the self-healing phenomena, Yang et al [ 45 ] discuss the possible implementation of the phase-field (PF) methods for self-healing of cementitious materials. A number of literature sources report the application of the PF approach for modeling the fracture behavior of concrete (see among others [ 46 , 47 , 48 ]). However, the modeling of the crack-closure effects in the framework of the PF approach still needs researchers’ attention.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of the Response of Concrete Structural Elements Containing a Self-Healing Agent

Zhelyazov

2022

Materials

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Self-healing of a crack is a relatively novel technique allowing for the partial recovery of the initial mechanical characteristics of a structural element after some period of exploitation. By a widely accepted convention, self-healing is either autogenous or autonomous. The former is a mechanism inherent for cementitious composites (in particular—concrete), while the latter is an engineered process. Both autogenous and engineered healing have recently been the object of numerous studies. Despite the large amount of research work being carried out, the potential of this technique has not yet been fully realized. The article focuses on the modeling and the finite element simulation of the recovery of the initial material properties resulting from the sealing of cracks. The employed numerical procedure uses a constitutive relation for concrete based on the continuum damage mechanics. It captures both the strain-softening and the inverse process—the crack healing. Finite element simulations of benchmark cases illustrate the effect of self-healing. The numerically obtained constitutive relations for specimens with and without a healing agent are compared.

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Finite deformation cohesive zone phase field model for crack propagation in multi-phase microstructures

Cited by 28 publications

References 86 publications

Phase-field modeling of fracture in heterogeneous materials: jump conditions, convergence and crack propagation

Phase-field modeling of fracture in heterogeneous materials: jump conditions, convergence and crack propagation

A Review on Cementitious Self-Healing and the Potential of Phase-Field Methods for Modeling Crack-Closing and Fracture Recovery

Numerical Simulation of the Response of Concrete Structural Elements Containing a Self-Healing Agent

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