Simplified Formulation of Mechanics of Structure Genome

What is it about?

This paper presents a simplified formulation of mechanics of structure genome (MSG). MSG is a unified theory for multiscale constitutive modeling for all types of composite structures. It is generalized from the previous research works based on the variational asymptotic method (VAM) including the variational asymptotic beam sectional analysis, the variational asymptotic plate and shell analysis, and variational asymptotic method for unit cell homogenization. In this paper, the original complex formulation of MSG is simplified and the principle of minimum information loss underpinning MSG is formalized. The simplified formulation of MSG is applied to construct the linear elastic Euler-Bernoulli beam model, Kirchhoff plate model, and 3D Cauchy continuum model. The connections of MSG to previous VAM-based theories are clearly pointed out.

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