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A size-dependent composite laminated skew plate model based on a new modified couple stress theory
Alternative TitleA size-dependent composite laminated skew plate model based on a new modified couple stress theory
He Dan; Yang Wanli; Chen Wanji
2017
Source PublicationACTA MECHANICA SOLIDA SINICA
ISSN0894-9166
Volume30Issue:1Pages:75-86
AbstractIn 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 AbstractIn 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.
KeywordSTRAIN GRADIENT PLASTICITY ELASTICITY Modified couple stress theory Composite laminated plates Scale effects Ply orientation Rayleigh-Ritz method
Indexed ByCSCD
Language英语
Funding Project[National Natural Sciences Foundation of China]
CSCD IDCSCD:5976408
Citation statistics
Cited Times:1[CSCD]   [CSCD Record]
Document Type期刊论文
Identifierhttp://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 Citation
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.
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