A XFEM based methodology for the structural analysis plates with bonded repairs

The cold rolling process promotes a deformed microstructure on steels with 3% Si. After the cold rolling process, this material is subjected to annealing to recrystallize the microstructure. This process promotes crystallographic texture in the material, with a strong Goss fiber and weak fibers of {hkl}<110> parallel to the rolling direction and {111}<uvw> parallel to the normal direction of the sheet surface. Then, cold-rolled steels with 3%Si have texture in all manufacturing stages, resulting in an anisotropic material. This work deals with an uncoupled thermoelastic analysis of anisotropic cold-rolled steels with alloy Fe-3%Si where the material is subjected to thermal and inertial loads. Following the uncoupled thermoelasticity formulation of the Boundary ElementMethod (BEM), this model focuses on the 2D study of these materials when the elastic properties change in the function of the temperature field previously defined in the problem. The integral equations are presented and transformed into algebraic equations by boundary discretization with discontinuous quadratic elements for the inertial and thermal domain integrals solved by Dual Reciprocity Method (DRM) and Radial Integration Method (RIM). Numerical validations and industrial applications are shown to discuss and illustrate the feasibility of using the presented formulation and the uncoupled thermomechanical response of the Fe-3%Si, considering the influence of temperature on its mechanical and thermal properties.