Adaptive Projection‐Based Interpolation as a Pre‐Processing Tool in the Finite Element Workflow for Elasticity Simulations of the Dual Phase Microstructures

An improvement to the workflow used in modeling boundary‐value problems in complex materials, which allows for reducing computational time by the factor of 5 while maintaining comparable quality of the solution is proposed in this paper. After formulating the main goals of the paper, a review of the state‐of‐the‐art techniques used for generating a digital material representation is presented. This is followed by a description of the procedure for solving boundary‐value problems and finding a representation of a given microstructure in a desired functional base. Finally, we showcase how to combine these techniques to obtain mentioned significant calculation speedup. Developed approach is validated during investigation of a selected case study, which is modeling of a linear elastic deformation of a dual phase ferritic–martensitic steel under thermal loading conditions.