Phase field fracture in elasto-plastic solids: Abaqus implementation and case studies

Fang, Jianguang; Wu, Chengqing; Rabczuk, Timon; Wu, Chi; Ma, Conggan; Sun, Guangyong; Li, Qing

doi:10.1016/j.tafmec.2019.102252

Cited by 103 publications

(32 citation statements)

References 43 publications

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“…These works have been aimed at both commercial finite element packages, such as COMSOL [ 30 ], and open-source platforms like FEniCS [ 31 ]. The development of phase field fracture implementations in the commercial package Abaqus has received particular attention [ 32 , 33 , 34 , 35 , 36 , 37 , 38 ], due to its popularity in the solid mechanics community. However, these works require the use of multiple user subroutines, most often including a user element (UEL) subroutine.…”

Section: Introductionmentioning

confidence: 99%

A Unified Abaqus Implementation of the Phase Field Fracture Method Using Only a User Material Subroutine

2021

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We present a simple and robust implementation of the phase field fracture method in Abaqus. Unlike previous works, only a user material (UMAT) subroutine is used. This is achieved by exploiting the analogy between the phase field balance equation and heat transfer, which avoids the need for a user element mesh and enables taking advantage of Abaqus’ in-built features. A unified theoretical framework and its implementation are presented, suitable for any arbitrary choice of crack density function and fracture driving force. Specifically, the framework is exemplified with the so-called AT1, AT2 and phase field-cohesive zone models (PF-CZM). Both staggered and monolithic solution schemes are handled. We demonstrate the potential and robustness of this new implementation by addressing several paradigmatic 2D and 3D boundary value problems. The numerical examples show how the current implementation can be used to reproduce numerical and experimental results from the literature, and efficiently capture advanced features such as complex crack trajectories, crack nucleation from arbitrary sites and contact problems. The code developed is made freely available.

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Section: Introductionmentioning

confidence: 99%

A Unified Abaqus Implementation of the Phase Field Fracture Method Using Only a User Material Subroutine

2021

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“…Since the method was originally introduced, it became surprisingly popular in the fracture science community. Several implementations were proposed to follow dynamic [46,47,48,49,50,51,52] and ductile [53,54,55,56,57,58,59,60] fracture. Surprisingly, formulations concentrating on the effect of plasticity on the dynamic crack propagation is still scarce.…”

Section: Introductionmentioning

confidence: 99%

“…Motivated by the popularity [60] of our recent open-source Abaqus phase-field implementation for static cases [70], we wish to extend the subroutine to dynamic, ductile and coupled cases in both 2D and 3D. The new implementation contains all options and proposes switch variables to the user to decide which option should be used.…”

Section: Introductionmentioning

confidence: 99%

An open-source Abaqus implementation of the phase-field method to study the effect of plasticity on the instantaneous fracture toughness in dynamic crack propagation

Molnár

Gravouil

Seghir

et al. 2020

Computer Methods in Applied Mechanics and Engineering

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Brittle and ductile dynamic fracture in solids is a complex mechanical phenomenon which attracted much attention from both engineers and scientists due to its technological interests. Modeling cracks in dynamic cases based on a discontinuous description is difficult because it needs additional criteria for branching and widening. Due to the very short time scales and the spatial complexity of the dynamic problem, its experimental analysis is still very difficult. Therefore, researchers still have to rely on numerical simulations to find a deeper explanation for many observed phenomena. This study is set out to investigate the effect of plasticity on dynamic fracture propagation. On the other hand, the diffuse phase-field formulation makes it possible to initiate, propagate, arrest or even branch cracks while satisfying the basic principles of thermodynamics. An implicit, staggered elastoplastic version of the phase-field approach was implemented in the commercial finite element code Abaqus through the UEL option. By means of simple examples we show that localized ductile deformations first increase both resistance and toughness. Then, after a maximum value, the resistance starts to decrease with a significant increment in energy dissipation. By favoring shear deformation over tensile failure the fracture pattern changes. First the branching disappears, then the crack propagation angle changes and becomes a shear band. Finally, we observed the increment of the instantaneous dynamic stress intensity factor during the acceleration stage of the crack without introducing a rate dependent critical fracture energy. We explained this phenomenon with the increasing roughness of the fracture surface.

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“…Then, the total derivative is obtained by summing all subderivatives . Within each time step, a staggered algorithm is adopted, which assumes that the phase‐field d remains unchanged and so are the constitutive tensors of the materials. Thus, traction force t m − 1 at the end of ( m − 1) th step and the beginning of m th step would have a small change if the phase‐field varies from the ( m − 1) th step to the m th step.…”

Section: Problem Formulationmentioning

confidence: 99%

Level‐set topology optimization for maximizing fracture resistance of brittle materials using phase‐field fracture model

Fang

Zhou

et al. 2020

Numerical Meth Engineering

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Summary Fracture is one of the most common failure modes in brittle materials. It can drastically decrease material integrity and structural strength. To address this issue, we propose a level‐set (LS) based topology optimization procedure to optimize the distribution of reinforced inclusions within matrix materials subject to the volume constraint for maximizing structural resistance to fracture. A phase‐field fracture model is formulated herein to simulate crack initiation and propagation, in which a staggered algorithm is developed to solve such time‐dependent crack propagation problems. In line with diffusive damage of the phase‐field approach for fracture; topological derivatives, which provide gradient information for the topology optimization in a LS framework, are derived for fracture mechanics problems. A reaction‐diffusion equation is adopted to update the LS function within a finite element framework. This avoids the reinitialization by overcoming the limitation to time step with the Courant‐Friedrichs‐Lewy condition. In this article, three numerical examples, namely, a L‐shaped section, a rectangular slab with predefined cracks, and an all‐ceramic onlay dental bridge (namely, fixed partial denture), are presented to demonstrate the effectiveness of the proposed LS based topology optimization for enhancing fracture resistance of multimaterial composite structures in a phase‐field fracture context.

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Phase field fracture in elasto-plastic solids: Abaqus implementation and case studies

Cited by 103 publications

References 43 publications

A Unified Abaqus Implementation of the Phase Field Fracture Method Using Only a User Material Subroutine

A Unified Abaqus Implementation of the Phase Field Fracture Method Using Only a User Material Subroutine

An open-source Abaqus implementation of the phase-field method to study the effect of plasticity on the instantaneous fracture toughness in dynamic crack propagation

Level‐set topology optimization for maximizing fracture resistance of brittle materials using phase‐field fracture model

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