Finite deformation of harmonic solids with cusp cracks

作者：Wang, Xu; Schiavone, Peter^*

来源：IMA Journal of Applied Mathematics, 2014, 79(5): 790-803.

DOI：10.1093/imamat/hxt051

• cusp crack
• hyperelastic material
• finite deformation
• non-linear equation
• analytical solution
• stress intensity factor
• T-stress

We consider the finite deformation of a particular class of compressible hyperelastic solids of harmonic type containing a cusp crack. Two types of the cusp crack are considered: one is a symmetric airfoil cusp crack and the other one is a symmetric lip cusp crack. Our analytical result demonstrates that it is possible to have two, one or even no permissible solution for given loading, geometric and material parameters. Furthermore the singular near-tip stress field is discussed with an emphasis on the derivation of the stress intensity factors and the bounded T-stress. Also investigated is a harmonic solid containing a pore having an n-fold axis of symmetry under a remote hydrostatic loading.

• 出版日期2014-10
• 单位华东理工大学