A variational multiscale method to model crack propagation at finite strains

作者：Mergheim J^*

来源：International Journal for Numerical Methods in Engineering, 2009, 80(3): 269-289.

DOI：10.1002/nme.2602

• variational multiscale method
• fine-scale crack propagation
• Hansbo's method
• solids
• finite element method
• multiscale

This contribution presents a hierarchical variational multiscale framework to model propagating discontinuities at finite strains. Thereby the deformation map is decomposed into coarse-scale and fine-scale displacements, which results in a decoupled system of coarse-scale and fine-scale equations. Both are solved numerically by means of the finite element method whereby crack propagation is taken into account at the fine scale. Growing cracks are numerically handled by the introduction of discontinuous elements. A locality assumption on the fine-scale Solution and an adaptive scheme to resize the fine-scale domain are introduced and demonstrated to increase the efficiency of the method.

• 出版日期2009-10-15