On Plane Strain-gradient Plasticity Problem Accounting for Energetic Microforces

  • Borokinni Adebowale, Dr. Distance Learning Institute, University of Lagos, Nigeria
Keywords: Plane strain, Strain gradient, Flow rule, Length scales

Abstract

This study investigates the effect of energetic microforces on the plane strain problems of viscoplastic bodies. The strain-gradient plasticity theory of the Gurtin-Anand model is considered and slightly modified to account for an energetic microforce whose energy-conjugate is the divergence of the plastic strain. The modified model, gives rise to a flow rule of viscoplastic bodies which accounts for two energetic length scales associated with polar and vector microstresses through quadratic form of the defect energy. It is shown that there are no volumetric changes accompanied by elastic deformation whenever the energetic length scales are equal. 

Published
2018-04-12
How to Cite
Adebowale, B. (2018). On Plane Strain-gradient Plasticity Problem Accounting for Energetic Microforces. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 2017, 201 - 210. Retrieved from http://ijmso.unilag.edu.ng/article/view/9
Section
Articles