Journal of Computational Applied Mechanics

A review on stress-driven nonlocal elasticity theory

Document Type : Review Paper

Authors

1 Department of Mechanical Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran

2 School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran

3 Department of Mechanical Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran

4 Department of Mechanical Engineering, University of Hormozgan, Bandar Abbas, Iran

Abstract

The behavior of materials at the nanoscale cannot be studied by classical theories. Accordingly, new theories have been developed to predict the behavior of materials at the nanoscale; some of them are nonlocal elasticity, strain gradient theory, couple stress theory, and surface effect theory. In most articles, the authors use a differential form of nonlocal elasticity theory. Recently, many authors have used the integral form of this theory and obtained interesting results. Therefore, in the present research, the articles related to the integral form of non-local theory have been examined for small-scale tubes, beams, shells, and plates.

Keywords

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Journal of Computational Applied Mechanics
Volume 52, Issue 3
September 2021
Pages 535-552
  • Receive Date: 27 September 2021
  • Revise Date: 04 October 2021
  • Accept Date: 02 October 2021