论文标题
使用松弛变量方法的相位场裂缝不可逆性
Phase-field fracture irreversibility using the slack variable approach
论文作者
论文摘要
在此手稿中，使用Slack变量方法将相位场断裂的不可逆性约束转化为基于平等的约束。然后，使用Lagrange乘数方法和惩罚方法在相位场断裂能函数中引入基于平等的断裂不可逆性约束。与历史变化方法不同，两种方法都与常规变异不平等相位骨折问题一致。此后，在脆性和准脆性断裂中的基准问题上进行了数值实验，以证明该方法的功效。
In this manuscript, the phase-field fracture irreversibility constraint is transformed into an equality-based constraint using the slack variable approach. The equality-based fracture irreversibility constraint is then introduced in the phase-field fracture energy functional using the Lagrange Multiplier Method and the Penalty method. Both methods are variationally consistent with the conventional variational inequality phase-field fracture problem, unlike the history-variable approach. Thereafter, numerical experiments are carried out on benchmark problems in brittle and quasi-brittle fracture to demonstrate the efficacy of the proposed method.
