Pagani Alfonso, Enea Marco, Carrera Erasmo
Mul2 Research Group, Department of Mechanical and Aerospace Engineering Politecnico di Torino Torino Italy.
Int J Numer Methods Eng. 2022 Feb 28;123(4):1098-1113. doi: 10.1002/nme.6890. Epub 2021 Dec 6.
This work investigates quasi-static crack propagation in specimens made of brittle materials by combining local and non-local elasticity models. The portion of the domain where the failure initiates and then propagates is modeled via three-dimensional bond-based peridynamics (PD). On the other hand, the remaining regions of the structure are analyzed with high order one-dimensional finite elements based on the Carrera unified formulation (CUF). The coupling between the two zones is realized by using Lagrange multipliers. Static solutions of different fracture problems are provided by a sequential linear analysis. The proposed approach is demonstrated to combine the advantages of the CUF-based classical continuum mechanics models and PD by providing, in an efficient manner, both the failure load and the shape of the crack pattern, even for three-dimensional problems.
本研究通过结合局部和非局部弹性模型，研究了脆性材料制成的试样中的准静态裂纹扩展。破坏起始并随后扩展的区域通过基于三维键的近场动力学（PD）进行建模。另一方面，结构的其余区域则基于卡雷拉统一公式（CUF），采用高阶一维有限元进行分析。两个区域之间的耦合通过使用拉格朗日乘子来实现。不同断裂问题的静态解通过顺序线性分析提供。所提出的方法被证明结合了基于CUF的经典连续介质力学模型和PD的优点，即使对于三维问题，也能以高效的方式提供破坏载荷和裂纹模式的形状。
