Phase field modelling of ductile fracture in the frameworks of non-conventional thermodynamics and continuum damage mechanics

Tsakmakis, Aris; Vormwald, Michael

doi:10.1016/j.ijsolstr.2022.112049

Cited by 3 publications

(1 citation statement)

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“…Another example for a fatigue model without a fatigue variable is Schröder et al [54] for concrete or cementious materials. Tsakmakiks and Vormwald [55] also showed the ability of their ductile phase-field model derived in the framework of so-called non-conventional thermodynamics to cover fatigue fracture.…”

Section: Other Modelsmentioning

confidence: 99%

Overview of phase-field models for fatigue fracture using a unified framework

Kalina¹,

Schneider²,

Brummund³

et al. 2023

Preprint

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The phase-field method has gained much attention as a novel method to simulate fracture due to its straightforward way allowing to cover crack initiation and propagation without additional conditions. More recently, it has also been applied to fatigue fracture due to cyclic loading. This publication gives an overview of the main phase-field fatigue models published to date. We present all models in a unified variational framework for best comparability. Subsequently, the models are compared regarding their most important features. It becomes apparent that they can be classified in mainly two categories according to the way fatigue is implemented in the model -that is as a gradual degradation of the fracture toughness or as an additional term in the crack driving force. We aim to provide a helpful guide for choosing the appropriate model for different applications and for developing existing models further.

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Section: Other Modelsmentioning

confidence: 99%

Overview of phase-field models for fatigue fracture using a unified framework

Kalina¹,

Schneider²,

Brummund³

et al. 2023

Preprint

View full text Add to dashboard Cite

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Phase Field Coupled Finite Deformation Plasticity Formulation of Ductile Fracture With Nonlinear Kinematic Hardening and Modified Energy Release Function

Kumar,

Patel

2024

Numerical Meth Engineering

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A ductile damage theory is presented by coupling the covariant formulation of finite deformation plasticity with the phase field modeling of fracture, including kinematic hardening for the ductile response of the materials. A phase field coupled nonlinear kinematic hardening equation is proposed in the reference configuration having equivalent representation through the Lie derivative of the kinematic hardening tensor by push‐forward operation in the spatial configuration, thus ensuring the satisfaction of frame invariance. To capture the correct physical response of the material by the phase field evolution equation, the fracture driving function, that is, the difference between the sum of elastic and plastic energies and threshold energy, after the damage initiation is modified by an energy release controlling function, which is an empirical relation of equivalent plastic strain. In defining the energy release controlling function, well‐defined points with physical significance in the experimental load versus displacement curve are used. To simulate the response of the material in relatively large time steps, a modified staggered scheme is presented, evaluating the fracture driving and energy release controlling functions from the previous converged step and using the updated phase field variable in the weak form of the momentum balance equation. To quantify different material parameters from available experimental results in the literature, the developed phase field coupled elasto‐plastic model uses a neural network optimization procedure consisting of neural network training together with optimization in MATLAB and finite element model evaluation in Abaqus user element subroutine UEL. Model capabilities are demonstrated by simulating the crack propagation in complex 3D geometries such as the second and third Sandia Fracture Challenges.

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