A phase-field model of fracture with frictionless contact and random fracture properties: Application to thin-film fracture and soil desiccation

Hu, Tianchen; Guilleminot, Johann; Dolbow, John E.

doi:10.1016/j.cma.2020.113106

Cited by 58 publications

(29 citation statements)

References 60 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This minimization statement is categorized into combinatorial optimization problems due to the discrete nature of D sf n+1 , making the problem NP-hard. The fixed point method, or staggered method, reduces complexities by proposing a sequential solution algorithm, and it has been used in many applications [54][55][56]. Here, it is used to break down the double-minimization into two separate, simpler minimization problems.…”

Section: Solution Strategy: Fixed-point Iterationmentioning

confidence: 99%

A kd-tree-accelerated hybrid data-driven/model-based approach for poroelasticity problems with multi-fidelity multi-physics data

Bahmani

Sun

2021

Computer Methods in Applied Mechanics and Engineering

View full text Add to dashboard Cite

We present a hybrid model/model-free data-driven approach to solve poroelasticity problems. Extending the data-driven modeling framework originated from Kirchdoerfer and Ortiz (2016), we introduce one model-free and two hybrid modelbased/data-driven formulations capable of simulating the coupled diffusion-deformation of fluid-infiltrating porous media with different amounts of available data. To improve the efficiency of the model-free data search, we introduce a distance-minimized algorithm accelerated by a k-dimensional tree search. To handle the different fidelities of the solid elasticity and fluid hydraulic constitutive responses, we introduce a hybridized model in which either the solid and the fluid solver can switch from a model-based to a model-free approach depending on the availability and the properties of the data. Numerical experiments are designed to verify the implementation and compare the performance of the proposed model to other alternatives. c

show abstract

Section: Solution Strategy: Fixed-point Iterationmentioning

confidence: 99%

A kd-tree-accelerated hybrid data-driven/model-based approach for poroelasticity problems with multi-fidelity multi-physics data

Bahmani

Sun

2021

Computer Methods in Applied Mechanics and Engineering

View full text Add to dashboard Cite

show abstract

“…PETSc [39]. The discrete approximation is calculated using a fixed-point iterative solution scheme outlined from [16]. The KKT system for plasticity with the plastic flow rule constraints are enforced using the return mapping algorithm from [36], where the F-bar approach (e.g.…”

Section: Discretizationmentioning

confidence: 99%

“…This formulation leads to phase-field for fracture models that exhibit a reduced sensitivity of the effective fracture response to the particular choice of regularization length. For additional developments and discussions of the advantages of the cohesive approach, see the recent contributions by Wu [14], Geelen et al [15], Hu et al [16], and Talamini et al [17].…”

Section: Introductionmentioning

confidence: 99%

A variational phase-field model For ductile fracture with coalescence dissipation

Talamini

Stershic

et al. 2021

Comput Mech

Self Cite

View full text Add to dashboard Cite

A novel phase-field for ductile fracture model is presented. The model is developed within a consistent variational framework in the context of finite-deformation kinematics. A novel coalescence dissipation introduces a new coupling mechanism between plasticity and fracture by degrading the fracture toughness as the equivalent plastic strain increases. The proposed model is compared with a recent alternative where plasticity and fracture are strongly coupled. Several representative numerical examples motivate specific modeling choices. In particular, a linear crack geometric function provides an "unperturbed" ductile response prior to crack initiation, and Lorentz-type degradation functions ensure that the critical fracture strength remains independent of the phase-field regularization length. In addition, the response of the model is demonstrated to converge with a vanishing phase-field regularization length. The model is then applied to calibrate and simulate a three-point bending experiment of an aluminum specimen with a complex geometry. The effect of the proposed coalescence dissipation coupling on simulations of the experiment is first investigated in a two-dimensional plane strain setting. The calibrated model is then applied to a three-dimensional calculation, where the calculated load-deflection curves and the crack trajectory show excellent agreement with experimental observations. Finally, the model is applied to simulate crack nucleation and growth in a specimen from a recent Sandia Fracture Challenge.

show abstract

“…1(c) and 1(d)]. Controlled laboratory experiments on monolayer packings [97,98], colloidal suspensions [141][142][143], and soil systems [37,137,144] have paved the way for improved understanding and modeling at the particle level [38,97,98,[145][146][147][148] and, recently, at the continuum level using phase-field models [149,150].…”

Section: B Desiccation Cracksmentioning

confidence: 99%

Multiphase flow and granular mechanics

2020

View full text Add to dashboard Cite

In this perspective we provide a brief overview of the state of knowledge and recent progress in the area of multiphase flow through deformable granular media. We show, with many examples, that the interplay between viscous, capillary, and frictional forces at the pore scale determines the mode of fluid invasion. We pay particular attention to the central role of wettability on the morphology of granular-pack deformation and failure. Beyond their intrinsic interest as processes that give rise to spectacular pattern formation, these coupled phenomena in granular media can control continental-scale fluxes like methane venting from the seafloor and geohazards like earthquakes and landslides. We conclude this perspective by pointing to fundamental knowledge gaps and exciting avenues of research.

show abstract

A phase-field model of fracture with frictionless contact and random fracture properties: Application to thin-film fracture and soil desiccation

Cited by 58 publications

References 60 publications

A kd-tree-accelerated hybrid data-driven/model-based approach for poroelasticity problems with multi-fidelity multi-physics data

A kd-tree-accelerated hybrid data-driven/model-based approach for poroelasticity problems with multi-fidelity multi-physics data

A variational phase-field model For ductile fracture with coalescence dissipation

Multiphase flow and granular mechanics

Contact Info

Product

Resources

About