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国际多尺度计算工程期刊
影响因子: 1.016 5年影响因子: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN 打印: 1543-1649
ISSN 在线: 1940-4352

国际多尺度计算工程期刊

DOI: 10.1615/IntJMultCompEng.v8.i5.20
pages 447-461

Symmetric Mesomechanical Model for Failure Analysis of Heterogeneous Materials

Robert Crouch
Department of Civil and Environmental Engineering, Vanderbilt University, Nashville, TN 37235, USA; Altair Engineering 1820 E. Big Beaver Rd. Troy MI 48083, USA
Caglar Oskay
Department of Civil and Environmental Engineering, Vanderbilt University, Nashville, Tennessee 37235, USA

ABSTRACT

This paper provides a novel reduced-order multiscale modeling methodology for failure analysis of heterogeneous materials. The proposed methodology is based on the computational homogenization method for bridging multiple spatial scales and the eigendeformation-based model reduction method to incorporate failure in the microconstituents and interfaces. This computationally efficient modeling methodology leads to symmetric reduced-order algebraic systems for evaluation of the microscale boundary value problem. The order and coarse graining for the reduced-order system are systematically identified by a novel model development strategy. Verification studies reveal that the proposed methodology efficiently and accurately models the failure response. The proposed approach eliminates the spurious residual stress effect observed in reduced-order models, which pollutes the postfailure stress field at the macroscale.

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