Capturing the effect of thickness on size-dependent behavior of plates with nonlocal theory

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:115

Article

Sajadi, Banafsheh¹  Goosen, Hans¹  van Keulen, Fred¹ 

[1] Delft Univ Technol, Dept Precis & Microsyst Engn, Delft, Netherlands

关键词: Nonlocal theory;    Finite-scale kernel;    Nanoplate;    Thickness;    Size-dependency;    Continuum theory;   

DOI  :  10.1016/j.ijsolstr.2017.03.010

来源: Elsevier

【 摘 要 】

The effective elastic properties of nano-structures are shown to be strongly size-dependent. In this paper, using a three dimensional strong nonlocal elasticity, we have presented a formulation to capture the size-dependent behavior of plate structures as a function of their thickness. This paper discusses some new aspects of employing a three dimensional nonlocal formulation for analysis of plates, namely, the confining of the nonlocal kernel in the near-boundary regions at the two surfaces of the plate. To address this aspect, we have studied two different types of nonlocal kernels, one bounded in a finite domain of the structure and the other, non-bounded. This study shows that the influence of the plate's thickness on its bending stiffness can be captured within the nonlocal elasticity framework, and this influence highly depends on the bounding of the nonlocal kernel. Particularly, for a uniformly deformed plate with a homogeneous isotropic material, using the nonlocal formulation with the bounded domain reflects the physics of the problem better. (C) 2017 Elsevier Ltd. All rights reserved.

【 授权许可】

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