RT Journal Article ID 7be3dd443f3b740f A1 Suzuki, Yoshiro A1 Takahashi, Masato T1 MULTISCALE SEAMLESS-DOMAIN METHOD BASED ON DEPENDENT VARIABLE AND DEPENDENT-VARIABLE GRADIENTS JF International Journal for Multiscale Computational Engineering JO JMC YR 2016 FD 2016-12-01 VO 14 IS 6 SP 607 OP 630 K1 multiscale K1 meshless K1 composite materials K1 heat conduction K1 dependent-variable gradient AB 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. PB Begell House LK https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,4c6ececa3b8eb842,7be3dd443f3b740f.html