On the phase field modeling of crack growth and analytical treatment on the parameters

被引：37

作者：

Farrahi, Gholam Hossein ^{[1
]}

Javanbakht, Mandi ^{[2
]}

Jafarzadeh, Hossein ^{[1
]}

机构：

[1] Sharif Univ Technol, Sch Mech Engn, Tehran 1136511155, Iran

[2] Isfahan Univ Technol, Dept Mech Engn, Esfahan 8415683111, Iran

来源：

CONTINUUM MECHANICS AND THERMODYNAMICS | 2020年 / 32卷 / 03期

关键词：

Phase field; Double-well potential; Crack propagation; Fracture kinetics; BRITTLE-FRACTURE; DAMAGE MODEL; TRANSFORMATIONS; DISLOCATIONS; PROPAGATION; FORMULATION; SIMULATION;

D O I：

10.1007/s00161-018-0685-z

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

A thermodynamically consistent phase field model for crack propagation is analyzed. The thermodynamic driving force for the crack propagation is derived based on the laws of thermodynamics. The Helmholtz free energy satisfies the thermodynamic equilibrium and instability conditions for the crack propagation. Analytical solutions for the Ginzburg-Landau equation including the surface profile and the estimation of the kinetic coefficient are found. It is shown how kinetic coefficient affects the local stress field. The local critical stress for the crack propagation is calibrated with the theoretical strength which gives the value of the crack surface width. The finite element method is utilized to solve the complete system of crack phase field and mechanics equations. The analytical expressions for the crack surface profile and the crack tip velocity are verified with the numerical solutions. It is shown that under mode I cracking and proper calibration of parameters, phase field models always agree with Griffith's theory.

引用

页码：589 / 606

页数：18

共 47 条

[1] Phase-field modeling of ductile fracture [J].