Convergence of alternate minimization schemes for phase field
Convergence of alternate minimization schemes for phase field
复制标题
相场交替最小化方案的收敛
DOI：
10.1142/s0218202517500312
复制
发表时间：
2017
影响因子：
3.5
通讯作者：
Matteo Negri
中科院分区：
文献类型：
--
作者：
D. Knees;Matteo Negri
我们认为时间离散演化的相场模型（断裂和损伤）得到交替最小化方案。首先，我们描述了他们的时间连续极限的参数化BV-演化，引入一个合适的家庭的“内在能量规范”。此外，我们表明，极限演化满足格里菲斯的标准，相场能量释放，并且不可逆性约束是一致的。
We consider time-discrete evolutions for a phase-field model (for fracture and damage) obtained by alternate minimization schemes. First, we characterize their time-continuous limit in terms of parametrized BV-evolutions, introducing a suitable family of “intrinsic energy norms”. Further, we show that the limit evolution satisfies Griffith’s criterion, for a phase-field energy release, and that the irreversibility constraint is thermodynamically consistent.