Dynamic fracture analysis of the linearly uncoupled and coupled physical phenomena by the variable-node multiscale XFEM

Shuohui Yin (1) , Ning Zhang (1) , Peng Liu (2) , Jingang Liu (1) , Tiantang Yu (3) , Shuitao Gu (4) , Yu Cong (5)

1 Xiangtan University
2 HNU - Hunan University [Changsha]
3 Hohai University
4 Chongqing University [Chongqing]
5 LMEE - Laboratoire de Mécanique et d'Energétique d'Evry

This paper aims to develop a variable-node multiscale extended finite element method (V-XFEM) for dynamic fracture analysis of the linearly uncoupled and coupled physical phenomena in a compact formula. The general governing equations for the linearly uncoupled and coupled physical phenomena are presented in a compact form. The local mesh refinement technique for modeling cracks is used to improve the accuracy and efficiency, in which variable-node elements without modifying the system matrix or impose additional boundary conditions are taken to connect/link different scale elements. In addition, the time-dependent equations are solved by the unconditionally stable implicit Newmark time integration method, and the dynamic intensity factors (DIFs) are derived from the domain forms of the interaction integrals. Numerical results of the linearly elastic and piezoelectric problems show that V-XFEM is an efficient numerical approach to simulate the dynamic fracture problems of the linearly uncoupled and coupled physical phenomena.

Mots clés: Dynamic fracture; Piezoelectric structures; V-XFEM; Variable-node elements; Dynamic stress intensity factor

Domaines: Mécanique des matériaux [physics.class-ph]

Shuohui Yin, Ning Zhang, Peng Liu, Jingang Liu, Tiantang Yu, et al.. Dynamic fracture analysis of the linearly uncoupled and coupled physical phenomena by the variable-node multiscale XFEM. Engineering Fracture Mechanics, 2021, 254, pp.107941. ⟨10.1016/j.engfracmech.2021.107941⟩. ⟨hal-03334432⟩