A size-dependent composite laminated skew plate model based on a new modified couple stress theory
查看参考文献34篇
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文摘
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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. |
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来源
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Acta Mechanica Solida Sinica
,2017,30(1):75-86 【核心库】
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DOI
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10.1016/j.camss.2016.12.001
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关键词
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Modified couple stress theory
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Composite laminated plates
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Scale effects
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Ply orientation
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Rayleigh–Ritz method
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地址
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Shenyang Aerospace University, Key Laboratory of Liaoning Province for Composite Structural Analysis of Aerocraft and Simulation, Shenyang, 110136
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语种
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英文 |
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文献类型
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研究性论文 |
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ISSN
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0894-9166 |
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学科
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力学 |
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基金
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supported by the National Natural Sciences Foundation of China
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文献收藏号
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CSCD:5976408
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参考文献 共
34
共2页
|
|
1.
Haque M A. Strain gradient effect in nanoscale thin films.
Acta Mater,2003,51(11):3053-3061
|
被引
7
次
|
|
|
|
|
2.
Leseman Z C. Indentation testing of axisymmetric freestanding nanofilms using a MEMS load cell.
Sens. Actuators, A,2007,134(1):264-270
|
被引
1
次
|
|
|
|
|
3.
Haque M A. Microscale materials testing using MEMS actuators.
J. Microelectromech. Syst,2001,10(1):146-152
|
被引
5
次
|
|
|
|
|
4.
Andrew W M A J. Role of material microstructure in plate stiffness with relevance to microcantilever sensors.
J. Micromech. Microeng,2005,15(5):1060
|
被引
28
次
|
|
|
|
|
5.
Stolken J S. A microbend test method for measuring the plasticity length scale.
Acta Mater,1998,46(14):5109-5115
|
被引
117
次
|
|
|
|
|
6.
Ma Q. Size dependent hardness of silver single crystals.
J. Mater. Res,1995,10(4):853-863
|
被引
59
次
|
|
|
|
|
7.
Fleck N A. Strain gradient plasticity: theory and experiment.
Acta Metall. Mater,1994,42(2):475-487
|
被引
194
次
|
|
|
|
|
8.
Lam D C C. Experiments and theory in strain gradient elasticity.
J. Mech. Phys. Solids,2003,51(8):1477-1508
|
被引
103
次
|
|
|
|
|
9.
Kouzeli M. Size dependent strengthening in particle reinforced aluminium.
Acta Mater,2002,50(1):39-51
|
被引
20
次
|
|
|
|
|
10.
Fleck N A. Strain gradient plasticity.
Adv. Appl. Mech,1997,33:295-361
|
被引
86
次
|
|
|
|
|
11.
Cosserat E.
Theorie Des Corps Deformables,1909
|
被引
34
次
|
|
|
|
|
12.
Toupin R A. Elastic materials with couple-stresses.
Archive for Rational Mechanics and Analysis,1962,11(1):385-414
|
被引
94
次
|
|
|
|
|
13.
Mindlin R D. Effects of couple-stresses in linear elasticity.
Archive for Rational Mechanics and Analysis,1962,11(1):415-448
|
被引
88
次
|
|
|
|
|
14.
Koiter W. Couple-stresses in the theory of elasticity.
Dictionary Geotechnical Engineering/worterbuch Geotechnik,1964,67:1385
|
被引
1
次
|
|
|
|
|
15.
Altenbach J. On generalized Cosserat-type theories of plates and shells: a short review and bibliography.
Arch. Appl. Mech,2010,80(1):73-92
|
被引
5
次
|
|
|
|
|
16.
Cosserat C. Theorie des corps deformables.
Nature,1909,81(2072):67
|
被引
1
次
|
|
|
|
|
17.
Neuber H.
On the General Solution of Linear-Elastic Problems in Isotropic and Anisotropic Cosserat Continua,1966:153-158
|
被引
2
次
|
|
|
|
|
18.
Mindlin R D. Influence of couple-stresses on stress concentrations.
Exp. Mech,1963,3(1):1-7
|
被引
48
次
|
|
|
|
|
19.
Yang F. Couple stress based strain gradient theory for elasticity.
Int. J. Solids Struct,2002,39(10):2731-2743
|
被引
134
次
|
|
|
|
|
20.
Park S K. Bernoulli–Euler beam model based on a modified couple stress theory.
J. Micromech. Microeng,2006,16(11):2355
|
被引
41
次
|
|
|
|
|
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