Abstract
A continuum mechanical study is made of the deformation and damaging of a bar in uniaxial tension. Attention is paid to instability as caused by loss of equilibrium. The material is assumed to deform due to creep and time-independent plasticity. The damage is modelled with spherical voids, which are assumed to nucleate at a rate proportional to the strain rate. The voids are assumed to undergo self-similar expansion. The damage parameter ω is defined through the Rabotnov creep law, ε ̇ = B[σ/(1 − ω)] n , where ε is determined by continuum mechanical analysis of the voided material. A damage growth law is derived. It is then used to investigate the influence of initial damage, hardening exponent and nucleation rate on the critical stress and strain.
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