Surrogate modeling by multifidelity cokriging for the ductile failure of random microstructures

IF 3.7 2区工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Computational Mechanics Pub Date : 2024-01-09 DOI:10.1007/s00466-023-02430-8

引用次数: 0

Abstract

A nonparametric surrogate model for ductile failure is developed from simulation results on cells with a random distribution of voids. This model fully takes into account the anisotropy induced by the simulation conditions. The metamodeling strategy uses Gaussian Process Regression coupled with a multifidelity approach involving simulations on a cell with a single void. Through cokriging and metamodel parameter transfer, information can be transferred from the unit cell simulations to the model on random cells. This allows an increased accuracy, for a given computational capacity. Strategies for adaptive experimental design are also investigated.

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通过多保真度 cokriging 对随机微结构的韧性破坏进行代用建模

摘要根据空隙随机分布单元的模拟结果，建立了韧性破坏的非参数代用模型。该模型充分考虑了模拟条件引起的各向异性。元建模策略采用高斯过程回归法，并结合多保真度方法，对具有单个空隙的单元进行模拟。通过 cokriging 和元模型参数转移，可将信息从单元格模拟转移到随机单元格模型。这样就能在给定的计算能力下提高精确度。此外，还研究了自适应实验设计策略。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computational Mechanics 物理-力学

CiteScore

7.80

自引率

12.20%

发文量

122

审稿时长

3.4 months

期刊介绍： The journal reports original research of scholarly value in computational engineering and sciences. It focuses on areas that involve and enrich the application of mechanics, mathematics and numerical methods. It covers new methods and computationally-challenging technologies. Areas covered include method development in solid, fluid mechanics and materials simulations with application to biomechanics and mechanics in medicine, multiphysics, fracture mechanics, multiscale mechanics, particle and meshfree methods. Additionally, manuscripts including simulation and method development of synthesis of material systems are encouraged. Manuscripts reporting results obtained with established methods, unless they involve challenging computations, and manuscripts that report computations using commercial software packages are not encouraged.