Abstract
The asymptotic stress and strain fields near the tip of a slowly growing crack are derived for elastic-nonlinear viscous materials, which deform in tension according to the law % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGak0Jf9crFfpeea0xh9v8qiW7rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGafuyTduMbai% aacqGH9aqpcuqHdpWCgaGaaiaac+cacaWGfbGaey4kaSIaamOqaiab% fo8aZnaaCaaaleqabaGaamOBaaaaaaa!428D!\[\dot \varepsilon = \dot \sigma /E + B\sigma ^n \]. The nonlinear viscous term describes power law creep. Based on (small strain) continuum mechanics, a stress analysis is carried out for anti-plane shear (Mode III), plane stress and plane strain (Mode I).
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