Abstract
A thin power-law nonlinear material with a crack is studied. For a thin cracked structure, we simulate the layer with an edge crack or a center crack as a double-cantilever beam (DCB) or a double-clamped beam, respectively. A static bending solution is first solved for prescribed bending moment, concentrated force, or uniformly distributed loading. The strain energy is calculated and energy release rate near the crack tip is determined. Obtained results of the power-law singularity of the stress and strain fields is in agreement with that of the well-known HRR field for two-dimensional hardening materials. Explicit expressions for the energy release rate or J integral are obtained. The effects of the hardening exponent on crack growth are analyzed. Our results agree with previous experimental observations of a brass DCB specimen.
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