断裂(地质)
断裂韧性
材料科学
巴(单位)
脆性
同种类的
应力场
相(物质)
脆性断裂
领域(数学)
机械
结构工程
复合材料
地质学
统计物理学
数学
物理
有限元法
工程类
海洋学
纯数学
量子力学
作者
F. Vicentini,Pietro Carrara,Laura De Lorenzis
标识
DOI:10.1016/j.euromechsol.2022.104826
摘要
We investigate phase-field modeling of brittle fracture in a one-dimensional bar featuring a continuous variation of elastic and/or fracture properties along its axis. Our main goal is to quantitatively assess how the heterogeneity in elastic and fracture material properties influences the observed behavior of the bar, as obtained from the phase-field modeling approach. The results clarify how the elastic limit stress, the peak stress and the fracture toughness of the heterogeneous bar relate to those of the reference homogeneous bar, and what are the parameters affecting these relationships. Overall, the effect of heterogeneity is shown to be strictly tied to the non-local nature of the phase-field regularization. Finally, we show that this non-locality may amend the ill-posedness of the sharp-crack problem in heterogeneous bars where multiple points compete as fracture locations.
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