Open Access

ARTICLE

Micropolar Theory and Its Applications to Mesoscopic and Microscopic Problems

Youping Chen¹, James D Lee², Azim Esk,arian¹

1 Center for Intelligent System Research, School of Engineering and Applied Science, The George Washington University, Ashburn, Virginia 20147, USA
2 Department of Mechanical and Aerospace Engineering, School of Engineering and Applied Science, The George Washington University, Washington, DC 2005

Computer Modeling in Engineering & Sciences 2004, 5(1), 35-44. https://doi.org/10.3970/cmes.2004.005.035

Abstract

This paper addresses the need of theories and simulations for material body of mesoscopic and microscopic sizes. An overview of polar theories is presented. The micropolar theory proposed by Eringen is introduced and compared with other polar theories. Constitutive equations of micropolar thermo-visco-elastic solid are derived. Finite element analyses have been performed for a few sample problems with wide range of length scales. Based on the discussion, comparison and computer simulations, the unique feature and applicability of micropolar theory are demonstrated.

---

Keywords

---