A generalization of Mv integral to axisymmetric problems for viscoelastic materials

作者：Pitti Rostand Moutou^*; Chazal Claude; Labesse Jied Florence; Lapusta Yuri

来源：Acta Mechanica, 2011, 220(1-4): 365-373.

DOI：10.1007/s00707-011-0460-8

A generalization of the M integral to axisymmetric problems is proposed, it is noted M(axi). The Mv(axi) integral providing the mixed-mode crack growth in time-dependent materials is presented. This analytical generalization is based on the conservative law, the Arbitrary Lagrangian Euleurian description, the non-dependent integrals and on a combination of real and virtual displacement fields. The time-dependent behavior of the material is considered to be non-ageing linear viscoelastic. It is modeled by a Generalized Kelvin-Voigt model introduced with a finite element algorithm resolved with an incremental constitutive law. The modified Compact Tension Shear specimen is used to obtained the corresponding energy release rate.

• 出版日期2011-8