✦ LIBER ✦
Mathematical homogenization of nonperiodic heterogeneous media subjected to large deformation transient loading
✍ Scribed by Jacob Fish; Rong Fan
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 470 KB
- Volume
- 76
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.2355
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✦ Synopsis
Abstract
We present a generalization of the classical mathematical homogenization theory aimed at accounting for finite unit cell distortions, which gives rise to a nonperiodic asymptotic expansion. We introduce an auxiliary macro‐deformed configuration, where the overall Cauchy stress is defined, and nonperiodic boundary conditions. Verification studies against a direct numerical simulation demonstrate the versatility of the proposed method. Copyright © 2008 John Wiley & Sons, Ltd.