The three-dimensional elastodynamic solution for dislocation plasticity and its implementation in discrete dislocation dynamics simulations
The three-dimensional elastodynamic solution for dislocation plasticity and its implementation in discrete dislocation dynamics simulations
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位错塑性的三维弹动力解及其在离散位错动力学模拟中的实现
DOI：
10.1016/j.actamat.2023.118945
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发表时间：
2023
期刊：
影响因子：
9.4
通讯作者：
El-Awady, Jaafar A.
中科院分区：
文献类型：
--
作者：
Yang, Junjie;Rida, Ali;Gu, Yejun;Magagnosc, Daniel;Zaki, Tamer A.;El-Awady, Jaafar A.
使用格林函数方法导出了非均匀移动 Volterra 位错的弹性动力位移场的解析解。然后可以通过对位移场进行数值微分来评估弹性动力学应变和应力场。通过分子动力学模拟进行定性比较，并且解析解显示出相同的特征。在刃位错或螺旋位错的瞬时注入过程中，从滑移面发出并平行于滑移面的平面波由解析解捕获。先前提出的弹性动力学解决方案没有捕捉到这一点。然后开发了一种计算高效的扫掠区域跟踪算法，并将其应用到三维离散位错动力学模拟中，以计算由位错运动和相互作用引起的弹动力场。这种方法为模拟冲击载荷下的材料变形或量化金属变形过程中位错雪崩期间占主导地位的动力学效应提供了一种前进的方向。
An analytical solution for the elastodynamic displacement field of non-uniformly moving Volterra dislocations is derived using the Green’s function approach. The elastodynamics strain and stress fields can then be evaluated by numerically differentiating the displacement field. Qualitative comparisons are made with molecular dynamic simulations, and the analytical solution is shown to capture the same features. The plane waves that emanate from, and are parallel to, the slip plane during the instantaneous injection process of edge or screw dislocations are captured by the analytical solution. This was not captured by previously proposed elastodynamic solutions. A computationally efficient swept-area-tracking algorithm is then developed and implemented into three-dimensional discrete dislocation dynamics simulations to compute the elastodynamic field induced by dislocation movements and interactions. This approach provides a way forward for modeling deformation of materials under shock loading or quantifying the dynamics effects that dominate during dislocation avalanches during deformation of metals.
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DOI：
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期刊：
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