Characteristics of the Elastic Response of Isotropic Linear Micropolar Solids under Imposed Loads

Juan Alejandro Vazquez-Feijoo, Pedro Montes-García, Pator Teodoro Matadamas-Ortiz, Nicolas Juárez-Rodríguez, Luicita Lagunez-Rivera

Centro Interdisciplinario de Investigación para el Desarrollo Integral Regional, CIIDIR-Oaxaca, IPN, Engineering Group, Oaxaca, Mexico.
Instituto Tecnológico de Tuxtla Gutiérrez, Tuxtla Gutiérrez, Mexico.

DOI: 10.4236/wjm.2013.35025                

Abstract

This article proposes a simplified way to solve solid mechanic problems in micropolar elasticity using the solution found in the classic theory of elasticity as a starting point. In this study, an analysis of the linear isotropic micropolar elasticity is conducted based on the properties imposed on the micropolar medium by the constitutive and equilibrium equations. To ascertain how the micropolar medium responses deviate from Hooke’s theory of elasticity, different loading conditions were classified. Three cases have been found so far: the rotational couple response, the quasi-classic equilibrium of momentum response and the general case. This study is the first in a series planned to explore the use of commercial packages of finite element in order to solve micropolar elasticity problems.

Keywords

Strength of Materials; Elasticity; Microcontinuum; Micropolar

Conflicts of Interest

The authors declare no conflicts of interest.

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