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

• 作者: Juan Alejandro Vazquez-Feijoo Luicita Lagunez-Rivera Nicolas Juárez-Rodríguez Pator Teodoro Matadamas-Ortiz Pedro Montes-García
• 来源期刊: 力学国际期刊(英文)
• 学科: 数学
• 关键词: STRENGTH of Materials ELASTICITY Microcontinuum MICROPOLAR
• 年，卷（期）: lxgjqkyw_2013,（5）
• 页码范围: 245-255
• 页数: 11页
• 分类号: O1

摘要

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.