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Multiscale seamless‐domain method for linear elastic analysis of heterogeneous materials

A multiscale numerical technique, termed the seamless‐domain method (SDM), is applied to linear elastic problems. The SDM consists of two steps. The first step is a microscopic analysis of the local simulated domain to construct interpolation functions for discretizing governing equations. This allows an SDM solution to represent a structure consisting of heterogeneous microstructure(s) without homogenization. The second step is a macroscopic analysis of a seamless global (entire) domain that has only coarse‐grained points and does not need a mesh or grid. The special functions obtained in the first step are used in interpolating the dependent‐variable distribution in the global domain. Additionally, the SDM can enhance analytical precision and resolution when analyzing both homogeneous and heterogeneous fields. Our previous manuscript gave numerical examples of the application of the method to scalar temperature fields. To investigate the feasibility of the analysis of vector fields, the SDM technique is applied in linear elastic analysis of heterogeneous materials in the present study. The SDM's global models with only a few hundred points gave shear locking‐free and hourglass‐free solutions at the same level of accuracy as solutions obtained from conventional finite element analysis using hundreds of thousands of node points or more. Copyright © 2015 John Wiley & Sons, Ltd.