Journal of Applied and Computational Mechanics

Nonlinear Multiscale Modelling and Design using Gaussian Processes

Document Type : Research Paper

Authors

1 Department of Civil Engineering, University of Moratuwa, Sri Lanka

2 Department of Electronic and Telecommunication Engineering, University of Moratuwa, Sri Lanka

Abstract

A method for nonlinear material modeling and design using statistical learning is proposed to assist in the mechanical analysis of structural materials. Conventional computational homogenization schemes are proven to underperform in analyzing the complex nonlinear behavior of such microstructures with finite deformations. Also, the higher computational cost of the existing homogenization schemes inspires the inception of a data-driven multiscale computational homogenization scheme. In this paper, a statistical nonlinear homogenization scheme is discussed to mitigate these issues using the Gaussian Process Regression technique. A data-driven model is trained for different strain states of microscale unit cells. In the macroscale, nonlinear response of the macroscopic structure is analyzed, for which the stresses and material responses are predicted by the trained surrogate model.

Keywords

Main Subjects

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Journal of Applied and Computational Mechanics
Volume 7, Issue 3
July 2021
Pages 1583-1592