Method for determining the elasto-plastic behavior of components consisting of anisotropic material, and application of the process

摘要

In a method for determining the elasto-plastic behavior of components consisting of anisotropic material, in particular of gas turbine installations, at high temperatures, in which method, first of all, the linear-elastic behavior is determined and, on the basis of the linear-elastic results, the inelastic behavior is also taken into account by applying Neuber's rule, the anisotropic properties of the components, as occur in particular on account of the use of single crystal materials, are taken into account in a simple manner by using a modified anisotropic Neuber's rule of the form $\mathop{\mathrm{image}}$ {\mathrm{\σ}}^{*2}={\mathrm{\σ}}_{\mathrm{ep}}^2+{\mathrm{\σ}}_{\mathrm{ep}}^2\⁢\underset{\_}{D}\·\frac{\underset{\mathrm{\—}}{\underset{\mathrm{\—}}{E}}}{E_R}\·\underset{\_}{D}\⁢\text{\ }\⁢\frac{{\mathrm{\σ}}_v^{*2}}{{\mathrm{\σ}}^{*2}}\⁢\text{\ }\⁢{\mathrm{\α}\⁡\left(\frac{{\mathrm{\σ}}_{\mathrm{ep}}^2}{{\mathrm{\σ}}_0^2}\⁢\text{\ }\⁢\frac{{\mathrm{\σ}}_v^{*2}}{{\mathrm{\σ}}^{*2}}\right)}^{n-1}$$;where; &sgr;*=determined linear stress,;&sgr;*_v=determined linear Hill's comparative stress,; &sgr; _ep=estimated inelastic stress,; D=directional vector of the elastic and inelastic stresses,; E ^−1=inverse stiffness matrix;E_R=reference stiffness,;&sgr;₀=reference stress, and;&agr;,n=constant.