This paper presents a phase -field model for cohesive-frictional shear fracture. The model is derived based on two energetic principles: the energy conservation law and a variational inequality of virtual work that serves as a stability condition. We show that all the governing equations for frictional fracture can be obtained from the above two principles, including the equilibrium condition, the phase -field evolution law and, most importantly, the yield function and flow rule for the plasticity-like frictional slip. The information of crack direction is naturally included in the flow rule. Theoretical and numerical results show that the proposed model is faithfully consistent with the Mohr-Coulomb theory of frictional failure in terms of the crack nucleation stress and direction. In addition, the presented phase -field model has an explicit frictional cohesive law.

Phase-field model for 2D cohesive-frictional shear fracture: An energetic formulation / Feng, Y.; Freddi, F.; Li, J.; Ma, Y. E.. - In: JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS. - ISSN 0022-5096. - 189:(2024). [10.1016/j.jmps.2024.105687]

### Phase-field model for 2D cohesive-frictional shear fracture: An energetic formulation

#### Abstract

This paper presents a phase -field model for cohesive-frictional shear fracture. The model is derived based on two energetic principles: the energy conservation law and a variational inequality of virtual work that serves as a stability condition. We show that all the governing equations for frictional fracture can be obtained from the above two principles, including the equilibrium condition, the phase -field evolution law and, most importantly, the yield function and flow rule for the plasticity-like frictional slip. The information of crack direction is naturally included in the flow rule. Theoretical and numerical results show that the proposed model is faithfully consistent with the Mohr-Coulomb theory of frictional failure in terms of the crack nucleation stress and direction. In addition, the presented phase -field model has an explicit frictional cohesive law.
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2024
Phase-field model for 2D cohesive-frictional shear fracture: An energetic formulation / Feng, Y.; Freddi, F.; Li, J.; Ma, Y. E.. - In: JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS. - ISSN 0022-5096. - 189:(2024). [10.1016/j.jmps.2024.105687]
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/11381/2991093`
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