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

• The variable-node multiscale extended finite element method (V-XFEM) is elaborated for the dynamic crack analysis of linearly uncoupled and coupled physical phenomena in a compact formula. numerical results elastic piezoelectric problems considered as illustrated examples show that V-XFEM has higher accuracy more efficiency than standard XFEM. For structures, normalized intensity factors have significant dependence on poling direction electrical impact loading. Because unified way all single linear phenomena, proposed potential to simulate phenomena. This paper aims develop fracture general governing equations are presented form. local mesh refinement technique modeling cracks used improve efficiency, which elements without modifying system matrix or impose additional boundary conditions taken connect/link different scale elements. In addition, time-dependent solved by unconditionally stable implicit Newmark time integration method, (DIFs) derived from domain forms interaction integrals. Numerical an efficient approach