Abstract
This paper presents an analytical model for analysing the onset and the subsequent growth of cracks in solids subject to cyclic creep loading conditions. The model incorporates features such as: 1. (1) the constitutive relationship for creep deformation based on continuum damage mechanics theory; 2. (2) the multi-yield surfaces coupled with the Mroz's kinematic hardening rule for cyclic plastic response; 3. (3) the hybrid explicit-implicit integration scheme for the finite element analysis of creep stress; 4. (4) the modified breakable element algorithm coupled with the damage criterion for the proposed creep fracture analysis. This model has been shown to provide explicit and effective prediction of crack growth under cyclic creep loadings. Numerical study by the proposed model indicates that plastic strains play a significant role in cyclic creep fracture. In the creep dominated fracture unloading and reloading can interrupt the stress relaxation near the crack tip and cause a significant stress increase in the regions. Consequently, the creep damage accumulation along the crack extension line is accelerated by the load cycling. An earlier onset of crack growth with faster rate of propagation was thus observed.
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