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 A size-dependent composite laminated skew plate model based on a new modified couple stress theory Alternative Title A size-dependent composite laminated skew plate model based on a new modified couple stress theory He Dan; Yang Wanli; Chen Wanji 2017 Source Publication ACTA MECHANICA SOLIDA SINICA ISSN 0894-9166 Volume 30Issue:1Pages:75-86 Abstract 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. Other Abstract 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. Keyword STRAIN GRADIENT PLASTICITY ELASTICITY Modified couple stress theory Composite laminated plates Scale effects Ply orientation Rayleigh-Ritz method Indexed By CSCD Language 英语 Funding Project [National Natural Sciences Foundation of China] CSCD ID CSCD:5976408 Citation statistics Cited Times:1[CSCD]   [CSCD Record] Document Type 期刊论文 Identifier http://ir.imr.ac.cn/handle/321006/156178 Collection 中国科学院金属研究所 Affiliation 中国科学院金属研究所 Recommended CitationGB/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.
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