[1] Kang Zetian, Wang Zhiyong, Zhou Bo, Xue Shifeng, et al. Study on size-dependent bending behavior of axially functionallygraded microbeams via nonlocal strain gradient theory [J]. Journal of Southeast University (English Edition), 2019, 35 (4): 453-463. [doi:10.3969/j.issn.1003-7985.2019.04.008]

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Study on size-dependent bending behavior of axially functionallygraded microbeams via nonlocal strain gradient theory()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

35

Issue:

2019 4

Page:

453-463

Research Field:

Mathematics, Physics, Mechanics

Publishing date:

2019-12-30

Info

Title:

Study on size-dependent bending behavior of axially functionallygraded microbeams via nonlocal strain gradient theory

Author(s):

Kang Zetian;  Wang Zhiyong;  Zhou Bo;  Xue Shifeng

College of Pipeline and Civil Engineering, China University of Petroleum(East China), Qingdao 266580, China

Keywords:

axially functionally graded microbeam;  nonlocal strain gradient theory;  bending;  Galerkin method;  normalization method

PACS:

O341

DOI:

10.3969/j.issn.1003-7985.2019.04.008

Abstract:

Based on the nonlocal strain gradient theory(NSGT), the static bending behaviors of an axially functionally graded(AFG)Bernoulli-Euler microbeam subjected to concentrated and distributed loads are studied. The material property of the AFG microbeam changes continuously along the longitudinal direction. On the basis of the minimum potential energy principle, the equations of motion and associated classical and non-classical boundary conditions are derived. Then, Galerkin’s weighted residual method in conjunction with the normalization technique are utilized to solve the governing differential equations. The transverse deformations of the AFG microbeam suffering the sinusoidal distributed load within the framework of NSGT, nonlocal elasticity theory(NET), strain gradient theory(SGT)and classical elasticity theory(CET)are compared. It is observed that the bending flexibility of the microbeam decreases with the increase in the ratio of the material length scale parameter to the beam height. However, the bending flexibility increases with the increase in the material nonlocal parameter. The functionally graded parameter plays an important role in controlling the transverse deformation. This study provides a theoretical basis and a technical reference for the design and analysis of AFG micro-beams in the related regions.

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Memo

Memo:

Biographies: Kang Zetian(1992— ), male, Ph. D. candidate; Zhou Bo(corresponding author), male, doctor, professor, zhoubo@upc.edu.cn.
Foundation items: The National Key Research and Development Program of China(No.2017YFC0307604), the Talent Foundation of China University of Petroleum(No.Y1215042).
Citation: Kang Zetian, Wang Zhiyong, Zhou Bo, et al.Study on size-dependent bending behavior of axially functionally graded microbeams via nonlocal strain gradient theory[J].Journal of Southeast University(English Edition), 2019, 35(4):453-463.DOI:10.3969/j.issn.1003-7985.2019.04.008.

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