On the Numerical Implementation of Renewal Inelasticity Theory
A theory [1,2] has been developed to model the effects of inelastic deformation of metals at high temperatures based on the renewal theory of statistics. The theory successfully combines elastic, creep and plastic effects into a single viscoplastic model. The resulting expression for the uniaxial case consists of two coupled, first order, non-linear, ordinary differential equations. The solution of this equation is free of many of the numerical problems faced when dealing with other theories [3,4] and numerical solutions are readily carried out using a fourth order Runge-Kutta algorithm. Implicit methods developed for stiff differential equations are not required.
KeywordsFatigue Alan Plague
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