Coupled Multi-Physics Modelling in Continuum Mechanics

Contemporary models of solids of thermoelasticity requires to include multiphysics coupling and employ non classical e.g. elastic behavior. The permanent generalization of elastic model is the Cosseratt micropolar model. Now this model is to be applied to growing solids, biomaterials, granular media, concrete. The basic concepts of the continuum mechanics is considered in connection with the difference in the dimensions of the continuum and external space. New field variables are introduced representing complex continuum properties. A generalization of the model of the micropolar continuum has been proposed. The action and the action density for the complex continuum model are discussed. A new field-theoretic model of a nonlinearly elastic continuum is developed assuming existence of an isometric immersing into an external plane space.