Efficient evaluation of mechanical properties for two-phase materials using a direct data-driven approach

Materials & Design, vol. 259, pp. 114946

Abstract

This study proposes an efficient framework for sequentially solving a series of boundary value problems (BVPs), each with a different material distribution, using a direct data-driven approach to reduce constitutive model evaluations in materials design tasks. In the direct data-driven approach, two stress–strain datasets are iteratively populated and reused across BVPs, reducing material model evaluations. In addition, the constant pseudo stiffness matrix of the data-driven solver avoids costly numerical decompositions. These features are particularly advantageous for evaluating sets of candidate microstructures in two-phase materials. In this study, we extend an adaptive data generation scheme to handle two separate datasets corresponding to each phase, adding new data when necessary. Comparison of the proposed method with conventional finite element analysis shows significant reduction in constitutive model evaluations, with close agreement in mechanical response observed. In the later stages of the sequential evaluation, many microstructure evaluations required no additional data, indicating increasing reusability of existing datasets. This trend demonstrates that the number of constitutive evaluations decreases as the evaluation progresses, leading to computational savings in large-scale material design problems. These results suggest that the proposed method can broaden the applicability of data-driven computational mechanics, particularly for composite materials involving high-cost constitutive models.

Authors 3

1. Mayu Muramatsu

   Keio University

   Affiliation as printed

   Department of Mechanical Engineering, Keio University, 3-14-1, Hiyoshi, Kohoku-ku, Yokohama, 223-8522, Kanagawa, Japan

2. Stefanie Reese Aachen Institute of Applied Mechanics

   RWTH Aachen University · University of Siegen

   Affiliation as printed

   Institute of Applied Mechanics, RWTH Aachen University, Mies-van-der-Rohe-Str. 1, Aachen, D-52074, Germany

   University of Siegen, Adolf-Reichwein-Str. 2a, Siegen, D-57076, Germany

3. Erik Prume Aachen Institute of Applied Mechanics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics, RWTH Aachen University, Mies-van-der-Rohe-Str. 1, Aachen, D-52074, Germany