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Characteristics of the Elastic Response of Isotropic Linear Micropolar Solids under Imposed Loads
Author(s) -
Juan Alejandro Vázquez-Feijoo,
Pedro Montes-García,
Pator Teodoro Matadamas-Ortiz,
Nicolas Juárez-Rodríguez,
Luicita Lagunez-Rivera
Publication year - 2013
Publication title -
world journal of mechanics
Language(s) - English
Resource type - Journals
eISSN - 2160-0503
pISSN - 2160-049X
DOI - 10.4236/wjm.2013.35025
Subject(s) - elasticity (physics) , isotropy , linear elasticity , mathematics , constitutive equation , homogeneous , finite element method , mathematical analysis , mechanics , physics , thermodynamics , quantum mechanics , combinatorics

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.

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