Method of determining the elastoplastic behavior of components consisting of anisotropic material and use of the method

摘要

A method of determining the elastoplastic behavior of components, in particular of gas turbine plants, at high temperatures. First of all, the linear-elastic behavior is determined and the inelastic behavior is taken into account on the basis of the linear-elastic results by using the Neuber rule, the anisotropic characteristics of the components, as occur in particular through the use of single-crystalline materials, are taken into account in a simple manner by using a modified anistropic Neuber rule in the form $$ {\sigma }^{*2}={\sigma }_{\mathrm{ep}}^2\left(1+\frac{A}{C}\frac{\alpha }{E_R}{\left(\frac{A{\sigma }_{\mathrm{ep}}^2}{{\sigma }_0^2}\right)}^{n-1}\right)$$where A=inelastic anisotropic correction term,  where F, G, H, L, M and N are the Hill constants, C=elastic anisotropic correction term, C=D•E⁻¹•Dσ*=determined linear stress, σ_ep=estimated inelastic stress, D=direction vector of the elastic and inelastic stresses E⁻¹=inverse stiffness matrix, E_R=reference stiffness, σ₀=reference stress, and σα, n=material constants.