Phase field numerical strategies for positive volumetric strain energy fractures

A reasonable crack driving force is the key to preventing compression cracks and eliminating unrealistic crack propagation in phase field fracture analysis. Thus, examining the roles of volumetric strain energy (VSE) and deviatoric strain energy (DSE) in influencing crack propagation is necessary. T...

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Bibliographic Details
Published in:Fatigue & fracture of engineering materials & structures 2024-12, Vol.47 (12), p.4660-4677
Main Authors: Yang, Xiaofa, Zhang, Jianye, Chang, Dongdong, Huang, Zekai, Dong, Yingxuan, Zuo, Hong
Format: Article
Language:English
Subjects:
Brittle materials
crack driving force
crack path
Crack propagation
Cracking (fracturing)
Decomposition
Energy
Fracture mechanics
Heat treating
phase field fracture
positive volumetric strain energy
Propagation
Strain analysis
Strain energy methods
Volumetric strain
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Summary:A reasonable crack driving force is the key to preventing compression cracks and eliminating unrealistic crack propagation in phase field fracture analysis. Thus, examining the roles of volumetric strain energy (VSE) and deviatoric strain energy (DSE) in influencing crack propagation is necessary. This paper presents a comprehensive analysis of the following four different approaches to energy decomposition‐driven crack propagation: the positive volumetric strain energy method (VSEM), deviatoric strain energy method (DSEM), volumetric‐deviatoric strain energy method (VDSEM), and no decomposition method (NM). All of the strain energy is involved in the development of the crack propagation. The following four examples are investigated: two benchmark single‐side notched examples, a complex crack containing a hole example, and a crack coalescence in an asymmetric double notch example. The VSEM's numerical findings align with literature and experimental observations, confirming that positive VSE rather than DSE promotes crack propagation. Highlights 1)This paper suggests a strategy for phase field fracture with positive volumetric strain energy driven crack growth. 2)The experimental results are in excellent agreement with the numerical results of the current model. 3)The model is to be traced back to the minimum strain energy density criterion. 4)The model helps capture and understand the fracture features of brittle materials.
ISSN:8756-758X
1460-2695
DOI:10.1111/ffe.14436