Distal and non-symmetrical crack nucleation in delamination of plates via dimensionally-reduced peridynamics
Distal and non-symmetrical crack nucleation in delamination of plates via dimensionally-reduced peridynamics
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DOI：
10.1016/j.jmps.2022.105189
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发表时间：
2022-12
影响因子：
5.3
通讯作者：
R. Cavuoto;A. Cutolo;K. Dayal;L. Deseri;M. Fraldi
中科院分区：
文献类型：
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作者：
R. Cavuoto;A. Cutolo;K. Dayal;L. Deseri;M. Fraldi
利用框架的peridendicics，一个降维配方板的开发，允许通过厚度的成核和断裂面的生长，使治疗的分层在一个较低的维度模型。脱层断裂成核和传播的处理通过选择的运动学组成的一个绝对连续的部分和一个区域中的位移跳跃是允许的。这个假设允许显式推导的降维的弹性能量，它显示了一个层次的条款表征的存储在平面元件的能量。的各种条款的减少能源的解释是通过最简单的范例，债券为基础的peridaxics。约化能量的一个显著特征是，尽管假设为小位移，但膜项和弯曲项之间存在耦合。简化设置的半解析解是通过一个最小化程序获得的，一系列的非标准行为，如distalcrack形核和弯曲的裂纹路径被捕获的模型。最后，确定了所提出的周向简化模型在非局部长度尺度消失时收敛于局部弹性理论，给出了断裂的局部内聚模型。
Exploiting the framework of peridynamics, a dimensionally-reduced formulation for plates is developed that allows for the through-thickness nucleation and growth of fracture surfaces, enabling the treatment of delamination in a lower-dimensional model. Delamination fracture nucleation and propagation are treated by choosing the kinematics to be composed of an absolutely continuous part and a zone where jumps in the displacements are allowed. This assumption allows the explicit derivation of the dimensionally-reduced elastic energy, which shows a hierarchy of terms characterizing the stored energy in the plane element. An interpretation of the various terms of the reduced energy is shown by means of the simplest paradigm of bond-based peridynamics. A striking feature of the reduced energy is that, despite the small-displacement assumption, there is a coupling between the membrane and bending terms. Semi-analytical solutions for simplified settings are obtained through a minimization procedure, and a range of nonstandard behaviors such asdistalcrack nucleation and curved crack path are captured by the model. Finally, the convergence of the proposed peridynamic reduced model to a local elastic theory for vanishing nonlocal lengthscale is determined, giving a local cohesive model for fracture.