A size-dependent composite laminated skew plate model based on a new modified couple stress theory

IMR OpenIR

	A size-dependent composite laminated skew plate model based on a new modified couple stress theory
其他题名	A size-dependent composite laminated skew plate model based on a new modified couple stress theory
	He Dan; Yang Wanli; Chen Wanji
	2017
发表期刊	ACTA MECHANICA SOLIDA SINICA
ISSN	0894-9166
卷号	30 期号:1 页码:75-86
摘要	In this study, a size-dependent composite laminated skew Mindlin plate model is proposed based on a new modified couple stress theory. This plate model can be viewed as a simplified couple stress theory in engineering mechanics. Governing equations and related boundary conditions are derived based on the principle of minimum potential energy. The Rayleigh-Ritz method is employed to obtain the numerical solutions of the center deflections of simply supported plates with different ply orientations. Numerical results show that the normalized center deflections obtained by the proposed model are always smaller than those obtained by the classical one, i.e. the present model can capture the scale effects of microstructures. Moreover, a phenomenon reveals that the ply orientation would make a significant influence on the magnitude of scale effects of composite laminated plates at micro scale. Additionally, the present model of thick skew plate can be degenerated to the model of Kirchhoff plate based on the modified couple stress theory by adopting the assumptions in Bernoulli-Euler beam and material isotropy. (C) 2017 Published by Elsevier Ltd on behalf of Chinese Society of Theoretical and Applied Mechanics.
其他摘要	In this study, a size-dependent composite laminated skew Mindlin plate model is proposed based on a new modified couple stress theory. This plate model can be viewed as a simplified couple stress theory in engineering mechanics. Governing equations and related boundary conditions are derived based on the principle of minimum potential energy. The Rayleigh– Ritz method is employed to obtain the numerical solutions of the center deflections of simply supported plates with different ply orientations. Numerical results show that the normalized center deflections obtained by the proposed model are always smaller than those obtained by the classical one, i.e. the present model can capture the scale effects of microstructures. Moreover, a phenomenon reveals that the ply orientation would make a significant influence on the magnitude of scale effects of composite laminated plates at micro scale. Additionally, the present model of thick skew plate can be degenerated to the model of Kirchhoff plate based on the modified couple stress theory by adopting the assumptions in Bernoulli–Euler beam and material isotropy.
关键词	STRAIN GRADIENT PLASTICITY ELASTICITY Modified couple stress theory Composite laminated plates Scale effects Ply orientation Rayleigh-Ritz method
收录类别	CSCD
语种	英语
资助项目	[National Natural Sciences Foundation of China]
CSCD记录号	CSCD:5976408
引用统计	被引频次：1[CSCD] [CSCD记录]
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/156178
专题	中国科学院金属研究所
作者单位	中国科学院金属研究所
推荐引用方式 GB/T 7714	He Dan,Yang Wanli,Chen Wanji. A size-dependent composite laminated skew plate model based on a new modified couple stress theory[J]. ACTA MECHANICA SOLIDA SINICA,2017,30(1):75-86.
APA	He Dan,Yang Wanli,&Chen Wanji.(2017).A size-dependent composite laminated skew plate model based on a new modified couple stress theory.ACTA MECHANICA SOLIDA SINICA,30(1),75-86.
MLA	He Dan,et al."A size-dependent composite laminated skew plate model based on a new modified couple stress theory".ACTA MECHANICA SOLIDA SINICA 30.1(2017):75-86.