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Size-Dependent Responses of Timoshenko Beam Incorporating the Strain Gradient Theories of Elasticity

  • Sai SidhardhEmail author
Conference paper
  • 18 Downloads
Part of the Lecture Notes in Mechanical Engineering book series (LNME)

Abstract

This paper is concerned with the study of size effects over elastic response due to strain gradient elasticity (SGE). The general form of SGE with higher order gradients is simplified and either modified couple stress theory (MCST) or modified strain gradient theory (MSGT) models the size effects. An element-free Galerkin (EFG) model of the SGE response is obtained, and the algebraic governing equations of motion are derived here from the variational principles. Following validation, a comparison of the size effects exhibited by MCST and MSGT is carried out. The effect of each component of the higher gradients over the stiffness of the beam is also studied.

Keywords

Strain gradient elasticity Couple stress Microstructure Meshfree methods 

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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringIndian Institute of TechnologyKharagpurIndia

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