Meta-Modeling for Constructing Model Consistent With Continuum Mechanics

This paper proposes meta-modeling as a methodology for constructing a model that is consistent with continuum mechanics. Consistency means solving a Lagrangian of continuum mechanics by using a particular subset of continuum mechanics' function space, so that a solution of a consistent model is rigorously converted to a solution of continuum mechanics or vice versa. This conversion enables us to make smart use of solid and structure element analysis. Meta-modeling is applied to beam and plate problems, and it is shown that Rayleigh beam and Kirchhoff-Love plate are consistent with continuum mechanics.