具有随厚度变化膨胀特征应变的弹性层的分析

何陵辉; 林志华; 刘人怀

具有随厚度变化膨胀特征应变的弹性层的分析

1.
中国科学技术大学力学与机械工程系, 合肥 230026;
2.
香港城市大学建筑系, 香港;
3.
暨南大学应用力学研究所, 广州 510632

详细信息

作者简介:
何陵辉(1964- ),安微南陵人,男,博士,教授,博士生导师(E-mail:lhhe@ustc.edu.cn);刘人怀(1940- ),男,成都人,教授,博导,中国工程院院士,校长兼所长(E-mail:lrh@jnu.edu.cn).

中图分类号: O781
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出版历程
- 收稿日期: 2002-02-04
- 修回日期: 2003-04-22
- 刊出日期: 2003-09-15

Analysis of Elastic Layers with Dilative Eigenstrains Varying Through the Thickness

1.
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, P.R.China;
2.
Department of Building and Construction, City University of Hong Kong; Hong Kong, P.R.China;
3.
Institute of Applied Mechanics, Jinan University, Guangzhou 510632, P.R.China

摘要

摘要: 提出了含随厚度变化膨胀特征应变的弹性层在任意载荷作用下的一般分析步骤。该研究基于状态空间方法和一种渐近展开技巧。如果外载均匀,则展开式系数自前几项后为零,从而可得弹性层力学场量封闭形式的表达式。这一表达式仅依赖于中面的位移分量,后者由一组类似于经典板理论的二维微分方程控制。因此,获得二维方程的解便可立即给出弹性层的三维响应。作为例子,还详细分析了均匀分布载荷作用下的夹支椭圆层。
- 特征应变 /
- 弹性层 /
- 三维分析
Abstract: Elastic layers with varying dilative eigenstrains through the thickness were concerned. A general procedure was proposed for the analysis of such layers under arbitrary loads. The study is based on the state-space method and an asymptotic expansion technique. When the external loads are uniform, the expansion terminates after some leading terms, and an explicit representation for the mechanical field in a layer is obtained. This representation relies only on the displacement components of the mid-plane, which are governed by a set of two-dimensional differential equations similar to those in the classical plate theory. Consequently, obtaining the solution to the two-dimensional equations immediately gives the three-dimensional responses of the layer. As an illustrative example, a clamped elliptical layer under a uniformly distributed transverse load is analyzed in detail.
- eigenstrain /
- elastic layer /
- three-dimensional analysis

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参考文献(16)

[1]	Green D J,Tandon R,Sglavo V M.Crack arrest and multiple cracking in glass through the use of designed residual stress profiles[J].Science,1999,283(5406):1295-1297.
[2]	Chan H M.Layered ceramics: processing and mechanical behavior[J].Ann Rev Mat Sci,1997,27:249-282.
[3]	Yoo J,Cho K,Bae W S,et al. Transformation-toughened ceramic multilayers with compositional gradients[J].J Am Ceram Soc,1998,81(1):21-32.
[4]	Noor A K, Burton W S. Assessment of shear deformation theories for multilayered composite plates[J].Appl Mech Rev,1989,42(1):1-13.
[5]	Kaprielian P V, Rogers T G, Spencer A J M. Exact theory for the stretching and the bending of laminated plates by edge loading-Ⅰ:Isotropic plates[J].Phil Trans Roy Soc London,1988,A234(2):565-594.
[6]	Rogers T G, Waston P, Spencer A J M. An exact three-dimensional solution for normal loading of inhomogeneous and laminated anisotropic elastic plates of moderate thickness[J].Proc Roy Soc London,1992,A437(1):199-213.
[7]	Freund L B. The stress distribution and curvature of a general compositionally graded semiconductor layer[J].J Cryst Growth, 1993,132(1/2):341-344.
[8]	Freund L B. Some elementary connections between curvature and mismatch strain in compositionally graded thin films[J].J Mech Phys Solids,1996,44(5):723-736.
[9]	Lee J S, Jiang L Z. Exact electroelastic analysis of piezoelectric laminae via state space approach[J].Int J Solids Struct,1996,33(7):977-990.
[10]	Cheng Z Q, Lim C W, Kitipornchai S. Three-dimensional exact solution for inhomogeneous and laminated piezoelectric plates[J].Int J Engng Sci,1999,37(11),1425-1439.
[11]	HE Ling-hui.Axisymmetric response of circular plates with piezoelectric layers: an exact solution[J].Int J Mech Eng, 1998,40(12): 1265-1279.
[12]	HE Ling-hui. Three-dimensional analysis of some symmetric hybrid piezoelectric laminates[J].Z Angew Math Mech,2000,80(5):307-318.
[13]	HE Ling-hui, Lim C W, Soh A K. Three-dimensional analysis of an antiparalell piezoelectric bimorph[J].Acta Mech,2000,145(1-4):189-204.
[14]	Lim C W,HE Ling-hui, Soh A K.Three-dimensional electromechanical responses of a parallel piezoelectric bimorph[J].Int J Solids Struct, 2001,38(16):2833-2849.
[15]	Timoshenko S P, Woinowsky-Krieger S.Theory of Plates and Shells[M]. New York: McGraw-Hill, 1959.
[16]	Gantmacher F R.The Theory of Matrix[M]. New York: Chelsea, 1960

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文章访问数: 2405
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PDF下载量: 625
被引次数: 0

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具有随厚度变化膨胀特征应变的弹性层的分析

作者简介:
何陵辉(1964- ),安微南陵人,男,博士,教授,博士生导师(E-mail:lhhe@ustc.edu.cn);刘人怀(1940- ),男,成都人,教授,博导,中国工程院院士,校长兼所长(E-mail:lrh@jnu.edu.cn).

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Analysis of Elastic Layers with Dilative Eigenstrains Varying Through the Thickness

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具有随厚度变化膨胀特征应变的弹性层的分析

作者简介: 何陵辉(1964- ),安微南陵人,男,博士,教授,博士生导师(E-mail:lhhe@ustc.edu.cn);刘人怀(1940- ),男,成都人,教授,博导,中国工程院院士,校长兼所长(E-mail:lrh@jnu.edu.cn).

计量

出版历程

Analysis of Elastic Layers with Dilative Eigenstrains Varying Through the Thickness

计量

出版历程

目录

作者简介:
何陵辉(1964- ),安微南陵人,男,博士,教授,博士生导师(E-mail:lhhe@ustc.edu.cn);刘人怀(1940- ),男,成都人,教授,博导,中国工程院院士,校长兼所长(E-mail:lrh@jnu.edu.cn).