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Eigenstate based homogenization

delete2026-01-24
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PRE
AI
J
Jacob Fish *
J
Junhe Cui
DOI：10.1016/j.cma.2025.118718delete
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Abstract

Abstract

En 中文
The goal of this work is to develop a homogenization approach that achieves the computational efficiency of unresolved (reduced-order) schemes while retaining the accuracy of fully resolved computational homogenization. In the proposed Eigenstate-Based Homogenization (EBH), the fine-scale solution space is represented in terms of eigenstates—such as plastic multipliers or damage parameters—resulting in far fewer unknowns than in finite element discretizations. The representative volume element (RVE) response is expressed as a linear combination of precomputed eigenmodes, together with partition-level state variables updated to satisfy local consistency, enabling accurate recovery of both fine- and coarse-scale fields.

Journal

Computer Methods in Applied Mechanics and Engineering cover
Computer Methods in Applied Mechanics and Engineering
IF:
7.3
Papers:
1.3W
Citations:
5.6W

Organization

No organization information available