Asymptotic fields in steady crack growth with linear strain-hardening. (English) Zbl 0601.73101
The asymptotic stress and velocity fields of a crack propagating steadily and quasi-statically into an elastic-plastic material are presented. The material is characterized by \(J_ 2\)-flow theory with linear strain hardening. The possibility of reloading on the crack flanks is taken into account. The cases of anti-plane strain (mode III), plane strain (modes I and II), and plane stress (modes I and II) are considered. Numerical results are given for the strength of the singularity and for the distribution of the stress and velocity fields in the plastic loading, elastic unloading and plastic reloading regions, as functions of the strain hardening parameter. An attempt is made to make a connection with the perfectly-plastic solutions in the limit of vanishing strain- hardening.
MSC:
| 74R05 | Brittle damage |
| 74C99 | Plastic materials, materials of stress-rate and internal-variable type |
Keywords:
asymptotic stress and velocity fields; propagating steadily; quasi- statically; elastic-plastic material; \(J_ 2\)-flow theory; linear strain hardening; reloading on the crack flanks; anti-plane strain; mode III; modes I and II; plane stress; strength of the singularity; distribution of the stress and velocity fields; plastic loading; elastic unloading; plastic reloading regionsReferences:
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