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Atomistic counterpart of Micromorphic theory

Chen, Y., Lee, J.D., and Eskandarian, A. (2003) “Atomistic counterpart of Micromorphic theory”, Acta Mechanica, 161, 81-102.

Abstract: This paper aims to connect atomistic model to continuum theories. The fundamentals of micromorphic continuum theory are introduced. The instantaneous mechanical variables in an atomic system and the averaged quantities in a continuum field are derived and related to atomic variables. The balance laws of micromorphic continuum theory are formulated and verified from the viewpoint of molecular motion. Some conclusions and discussions are presented.