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. © 2020, Springer Nature Singapore Pte Ltd.

Sai Sidhardh

Department of Mechanical and Aerospace Engineering

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Journal	Data powered by TypesetLecture Notes in Mechanical Engineering
Publisher	Data powered by TypesetSpringer Science and Business Media Deutschland GmbH
ISSN	21954356