Abstract

Near-tip fields for transient crack growth in a material whose constitutive behavior is represented by the Bodner-Partom model are investigated for the case of plane strain mode I fracture under small-scale yielding conditions. At time t = 0, a load is applied to the cracked body. At the same instant, the crack starts to propagate with a constant velocity. A boundary integral equation method is used to compute the complete fields of stress and deformation. An expression for the near-tip time-dependent stress intensity factor has been derived and numerical results are presented for several crack tip speeds. Evolution of the stresses as the crack extends quasi-statically into the viscoplastic solid is also presented.

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