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.2016018866
pages 607-630

## MULTISCALE SEAMLESS-DOMAIN METHOD BASED ON DEPENDENT VARIABLE AND DEPENDENT-VARIABLE GRADIENTS

Yoshiro Suzuki
Tokyo Institute of Technology, Department of Mechanical Sciences and Engineering, Tokyo 152-8552, Japan
Masato Takahashi
Department of Mechanical Sciences and Engineering, Tokyo Institute of Technology 2-12-1 Ookayama, Meguo-ku, Tokyo 152-8552, Japan

### ABSTRACT

Previous work presented the multiscale seamless-domain method (SDM) for heterogeneous structures. The method consists of two analyses. In the macroscopic analysis, we need not model the constituents separately and the structure has only coarse-grained points (i.e., meshless). A dependent-variable value at a point is expressed as a weighted average of the variables at surrounding points. This equation determines the relation among the neighboring points. The variables at all points are determined by formulating and solving the equations for all the points. The weighting coefficients are constructed from results of the microscopic analysis of a local model, which is extracted from the whole structure. To enhance analytical accuracy and C1 continuity, this study presents a new formulation for the SDM. The proposed formulation computes the variable at a coarse-grained point referring to the variable gradients as well as the variable values. Numerical experiments related to heat conduction compare the previous and proposed SDMs.

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