抄録
A new meshfree numerical analysis, termed the seamless domain method (SDM), is applied in a multiscale technology. The SDM requires only a small number of points and does not require a stiffness equation, mesh, grid, cell, or element. The SDM consists of two analyses. The first is a microscopic analysis of local simulated domain to obtain shape functions for interpolation of dependent-variable distributions and influence coefficients for calculation of interaction between the points. These allow an SDM solution to represent a heterogeneous material without homogenization. The second step is a macroscopic analysis of a seamless global domain without mesh or grid. Various numerical examples illustrated that the method worked out both steady temperature fields and linear elastic fields. All the SDM solutions using only a few hundreds of points were as accurate as those from traditional finite-element analysis using more than two hundred thousands of nodes.
