On the micromechanics theory of Reissner-Mindlin plates

被引：0
作者：
S. Li
机构：
[1] Northwestern University,Department of Mechanical Engineering, McCormick School of Engineering and Applied Science
来源：
Acta Mechanica | 2000年 / 142卷
关键词：
Variational Inequality; Composite Plate; Linear Elasticity; Thick Plate; Elastic Stiffness;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A micromechanics model is developed for the Reissner-Mindlin plate. A generalized eigenstrain formulation, i.e., an eigencurvature/eigen-rotation formulation, is proposed, which is the analogue or counterpart of the eigenstrain formulation in linear elasticity. The micromechanics model of the Reissner-Mindlin plate is useful in the study of mechanical behavior of composite plates that contain randomly distributed inhomogeneities, whose sizes are close to the order of thickness of the plate; under those circumstances, the use of micromechanics of linear elasticity is not justified, and moreover, it is inconsistent with structural theories, such as the Reissner-Mindlin plate theory, that are actually used in engineering design.
引用
收藏
页码：47 / 99
页数：52
相关论文
共 46 条
[1]  
Budiansky B.(1965)On the elastic moduli of some heterogeneous materials J. Mech. Phy. Solids 13 223-227
[2]  
Chen Z.-Q.(1996)Steady-state response of a Cosserat medium with a spherical inclusion Acta Mech. 116 97-110
[3]  
He L.-H.(1957)The determination of the elastic field of an ellipsoidal inclusion, and related problems Proc. R. Soc. London, Ser. A 46 376-396
[4]  
Eshelby J. D.(1967)The linear theory of an elastic Cosserat plate Proc. Camb. Phil. Soc. 63 537-550
[5]  
Green A. E.(1976)Directed fluid sheets Proc. R. Soc. Lond, Ser. A 347 447-473
[6]  
Nagdhi P. M.(1995)Strain gradient platicity Adv. Appl. Mech. 33 295-361
[7]  
Green A. E.(1993)A direct theory of viscous fluid flow in pipes I. Basic general developments Phil. Trans. R. Soc. Lond. A 342 525-542
[8]  
Naghdi P. M.(1993)A direct theory of viscous fluid flow in pipes II. Flow of incompressible viscous fluid in curved pipes Phil. Trans. R. Soc. Lond. A 342 543-572
[9]  
Fleck N.(1962)On some variational principles in anisotropic and nonhomogeneous elasticity J. Mech. Phys. Solids 10 335-342
[10]  
Hutchinson J. W.(1962)A variational approach to the theory of the elastic behaviour of polycrystals J. Mech. Phys. Solids 10 343-352
12345