Modelos Constitutivos Continuos Basados en Teorías Micromecánicas Termomecánicas Consistentes

Abstract

The micropolar constitutive theory is reformulated within the general framework of the microplane concept in order to obtain constitutive equations and models including available and more precise information of the complex microstructure of
engineering materials like concrete and other composites. The main objective is the macroscopic modeling and description of anisotropic material response behaviors by means of the well-known microplane theory when applied to Cosserat continua.
A thermodynamically consistent concept is considered to derive the so called microplane-based micropolar theory. The main assumption of the present proposal is the integral relation between the macroscopic and the microscopic free energy by Carol, Jirasek and Bazant (2000) whereby the microplane laws are chosen such that the macroscopic Clausius-Duhem inequality is fully satisfied. This theoretical
framework is considered to derive both elastic and elastoplastic microplane-based micropolar models.