A thermo-elastic-plastic phase-field model for simulating the evolution and transition of adiabatic shear band. Part I. Theory and model calibration

Wang, T.; Liu, Z.L.; Cui, Yinan; Ye, X.; Liu, X.M.; Tian, Rong; Zhuang, Zhuo

doi:10.1016/j.engfracmech.2020.107028

Cited by 45 publications

(10 citation statements)

References 49 publications

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“…We have given a new perspective of PFM for thermal fracturing in linear thermoelasticity solids which is different from that of the previous PFM studies [15,22,35,36,43]. Also, different from other studies [1,38,40,49] which consider the mechanical dissipation, we did not consider the mechanical dissipation because our study applies the linear thermoelasticity solid material. However, our model can investigate the thermal response due to crack propagation and even study crack propagation which is generated by the thermal effect.…”

Section: Discussionmentioning

confidence: 87%

“…Although the mentioned studies have worked well, they have not described the thermal response due to crack propagation completely. On the other hand, the other frameworks are proposed by [1,4,38,40,49] which consider thermal response during crack propagation. Although these models consider the thermal response due to crack propagation, they have different characteristics from each other.…”

Section: Introductionmentioning

confidence: 99%

“…Meanwhile, the study from [49] described a thermo-elastic-plastic PFM for simulating the evolution and transition of adiabatic shear band. Then, slightly different from the previous frameworks [38,40,49], the models [1,4] combined PFM and the Biot thermoelasticity model to study thermal fracturing in linear thermoelasticity and thermoviscoelasticity. Particularly for [4], the dissipation from phase field kinetics was missing from the local energy balance.…”

Section: Introductionmentioning

confidence: 99%

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New Frameworks of PFM for Thermal Fracturing in The Linear Thermoelasticity Solids Based on a Microforce Balance Approach

Alfat

2023

Preprint

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Crack propagation due to thermal expansion is one of the multi-physics problems which be a concern to many researchers. Therefore, we study thermal fracturing using the phase field model (or, PFM). Here, the new models to study thermal fracturing in linear thermoelasticity solids are proposed through PFM. Herein, the damage evolution equation is directly derived through the microforce balance approach or the Gurtin concept, while the heat evolution equation is derived through the first principle of thermodynamics. Furthermore, the thermodynamic consistency of the model is shown by Clausius-Duhem inequality. In particular, the Gurtin concept and the first principle of thermodynamics follow the entropy, internal energy, Helmholtz free energy, and energy dissipation functions which are based on the Biot of thermoelasticity model and the Ambrosio-Tortorelli regularization. Since our models are based on the microforce balance approach, we also derive the PFM for crack propagation which was proposed by Kimura and Takaishi via this approach. In the present study, we validate our proposed PFMs through several numerical experiments. Herein, we solve the numerical experiments using the adaptive finite element method. From these, good agreements are achieved between our models and the previous model.

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Section: Discussionmentioning

confidence: 87%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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New Frameworks of PFM for Thermal Fracturing in The Linear Thermoelasticity Solids Based on a Microforce Balance Approach

Alfat

2023

Preprint

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“…One interesting issue is the study on thermal response due to crack growth which is very important to study the material behavior and it has been studied experimentally by [15,16,17]. Unfortunately, the PFMs for thermal fracturing have never implicitly explained the thermal response (or temperature distribution) in the around crack tip due to the crack propagation process except in the study reported by [4,6,11,18].…”

Section: Introductionmentioning

confidence: 99%

On Phase Field Approach for Thermal Fracturing in Thermoviscoelasticity Solids and Its Application for Studying Thermal Response Due to Crack Growth: Part I. Kelvin-Voigt Type.

Alfat

2023

Preprint

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The study of thermal response in the crack tip due to crack growth is very important to study the material behavior. Actually, the thermal response in the crack tip is generated by the mechanical dissipation energy properties, e.g., the viscous energy dissipation in viscoelasticity solids. Therefore, we proposed the PFM for crack propagation in thermoviscoelasticity solids and demonstrated several numerical examples. Our present model is derived from the Francfort–Marigo energy with the Ambrosio–Tortorelli regularization, and thermal energy. Our study aims to investigate the thermal response in the material due to crack growth numerically using the proposed model. In the numerical method, since we need the mesh which has to be fine enough to capture the damage variable z, we apply the adaptive finite element method. Several interesting numerical examples are demonstrated, such as; Mode I crack propagation, and scalar Mode III crack propagation in the non-isothermal and adiabatic processes. Numerical experiments demonstrate the capability of the proposed model to capture the temperature increasing around crack tips which is consistent with the viewpoint of laboratory experiments in the literature.

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“…Under highspeed impact, the thermo power is difficult to dissipate. e coupling of mechanical and thermal effects leads to special behavior of materials, such as adiabatic shear band, which is the precursor of fracture failure [2].…”

Section: Introductionmentioning

confidence: 99%

The Correlation of Texture and the Formation of the Adiabatic Shear Band in 7XXX Aluminum Alloy during Dynamic Loading

2021

Discrete Dynamics in Nature and Society

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The mechanical behavior of the extruded 7003-T6 aluminum profiles used as automotive buffer beams is investigated. The correlation of the texture and the formation of the adiabatic shear band is analyzed. Copper texture, R texture, and S texture are the main reasons for the anisotropy of mechanical behavior of the profile, resulting in that the stress of the profile along the extrusion direction is higher than that perpendicular to the extrusion direction. Through finite element modeling (FEM), it can be found that the adiabatic shear band is developed in the sample if the dynamic loading direction is parallel to the extrusion direction, but it does not appear if the loading direction is perpendicular to the extrusion direction. When the dynamic loading direction is parallel to the extrusion direction, higher stress results in a lower energy barrier for shear localization. Therefore, the formation of the adiabatic shear band is susceptible along but is not sensitive perpendicular to the extrusion direction. This study provides technical support for the service of 7003 aluminum alloy in automobiles, which has important academic and engineering application value.

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A thermo-elastic-plastic phase-field model for simulating the evolution and transition of adiabatic shear band. Part I. Theory and model calibration

Cited by 45 publications

References 49 publications

New Frameworks of PFM for Thermal Fracturing in The Linear Thermoelasticity Solids Based on a Microforce Balance Approach

New Frameworks of PFM for Thermal Fracturing in The Linear Thermoelasticity Solids Based on a Microforce Balance Approach

On Phase Field Approach for Thermal Fracturing in Thermoviscoelasticity Solids and Its Application for Studying Thermal Response Due to Crack Growth: Part I. Kelvin-Voigt Type.

The Correlation of Texture and the Formation of the Adiabatic Shear Band in 7XXX Aluminum Alloy during Dynamic Loading

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