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 formσ*2=σep2(1+ACαER(Aσep2σ02)n-1)whereA=inelastic anisotropic correction term,A=12[F(Dyy-Dzz)2+G(Dzz-Dxx)2+H(Dxx-Dyy)2+2LDyz2+2MDzx2+2NDxy2] 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,σep=estimated inelastic stress,D=direction vector of the elastic and inelastic stressesE−1=inverse stiffness matrix,ER=reference stiffness,σ0=reference stress, and σα, n=material constants.