Higher-order analysis of crack tip fields in elastic power-law hardening materials (Q1261033)

For tip stress an asymptotic analysis is provided under the assumption of an elastic power-law hardening material. Stress function is presented in the form \(\varphi=\sigma_ 0\sum^ 5_{i=1}K_ ir^{s_ i+2}\tilde\varphi_ i(\theta)\), where \(s_ 1<s_ 2\ldots<s_ 5\); \(s_ 1,\ldots,s_ 5\) are referred to as the stress exponents, and the effective stress is defined as follows: \(\sigma^ 2_ e={3\over 4}(\sigma_ r-\sigma_ \theta)^ 2+3\tau^ 2_{r\theta}\). The high order field solutions are analyzed in detail.