ASYMPTOTIC ANALYSIS OF LINEARLY ELASTIC SHALLOW SHELLS WITH VARIABLE THICKNESS
ASYMPTOTIC ANALYSIS OF LINEARLY ELASTIC SHALLOW SHELLS WITH VARIABLE THICKNESS
摘要
The author considers a linearly elastic shallow shell with variable thickness and shows that, as the thickness of the shell goes to zero, the solution of the three-dimensional equations converges to the solution of the two-dimensional shallow shell equations with variable thickness.
参考文献4
-
1S.KESAVAN,N.SABU.TWO-DIMENSIONAL APPROXIMATIONOF EIGENVALUE PROBLEMS IN SHELL THEORY:FLEXURAL SHELLS[J].Chinese Annals of Mathematics,Series B,2000,21(1):1-16. 被引量：2
-
2Philippe G. Ciarlet,Véronique Lods.Asymptotic analysis of linearly elastic shells. I. Justification of membrane shell equations[J].Archive for Rational Mechanics and Analysis.1996(2)
-
3Philippe G. Ciarlet,Véronique Lods,Bernadette Miara.Asymptotic analysis of linearly elastic shells. II. Justification of flexural shell equations[J].Archive for Rational Mechanics and Analysis.1996(2)
-
4P. G. Ciarlet,J. C. Paumier.A justification of the Marguerre-von Kármán equations[J].Computational Mechanics.1986(3)
二级参考文献4
-
1Philippe G. Ciarlet,Véronique Lods.Asymptotic analysis of linearly elastic shells. I. Justification of membrane shell equations[J].Archive for Rational Mechanics and Analysis.1996(2)
-
2Philippe G. Ciarlet,Véronique Lods,Bernadette Miara.Asymptotic analysis of linearly elastic shells. II. Justification of flexural shell equations[J].Archive for Rational Mechanics and Analysis.1996(2)
-
3Philippe G. Ciarlet,Véronique Lods.Asymptotic analysis of linearly elastic shells. III. Justification of Koiter’s shell equations[J].Archive for Rational Mechanics and Analysis.1996(2)
-
4Srinivasan Kesavan.Homogenization of elliptic eigenvalue problems: Part 1[J].Applied Mathematics & Optimization.1979(1)
-
1A.M.ZENKOUR.Stresses in rotating heterogeneous viscoelastic composite cylinders with variable thickness[J].Applied Mathematics and Mechanics(English Edition),2011,32(4):507-520. 被引量：1
-
2徐敬一,高隽,范之国,徐少罕.光在可变厚度介质中后向散射传输的偏振特性分析[J].量子光学学报,2014,20(3):266-270.
-
3Ye Zhiming (Shanghai Institute of Applied Mathematics and Mechanics).Nonlinear Vibration of Circular Plate with Variable Thickness[J].Advances in Manufacturing,1998(1):30-37.
-
4范家参.UNIQUENESS FOR THE SOLUTIONS OF ELASTIC THIN PLATES AND SHALLOW SHELLS AS WELL AS THEIR CONTACT PROBLEM WITH HALF SPACE[J].Applied Mathematics and Mechanics(English Edition),2000,21(3):335-340.
-
5王颖坚.LARGE DEFLECTION PROBLEM OF THIN ORTHOTROPIC CIRCULAR PLATE WITH VARIABLE THICKNESS UNDER UNIFORM PRESSURE[J].Applied Mathematics and Mechanics(English Edition),1990,11(4):343-353.
-
6李光耀,周汉斌.A FINITE DIFFERENCE METHOD AT ARBITRARY MESHES FOR THE BENDING OF PLATES WITH VARIABLE THICKNESS[J].Applied Mathematics and Mechanics(English Edition),1993,14(3):299-304. 被引量：1
-
7徐加初,王乘,刘人怀.NONLINEAR STABILITY OF TRUNCATED SHALLOW CONICAL SANDWICH SHELL WITH VARIABLE THICKNESS[J].Applied Mathematics and Mechanics(English Edition),2000,21(9):977-986.
-
8徐业鹏,周叮,张佑啟.Elasticity solution of clamped-simply supported beams with variable thickness[J].Applied Mathematics and Mechanics(English Edition),2008,29(3):279-290.
-
9JIANG Liang-jun.Asymptotic Analysis to a Diffusion Equation with a Weighted Nonlocal Source[J].Chinese Quarterly Journal of Mathematics,2015,30(2):244-252.
-
10牛忠荣.NONLINEAR BENDING OF THE SHALLOW SPHERICAL SHELLS WITH VARIABLE THICKNESS UNDER AXISYMMETRICAL LOADS[J].Applied Mathematics and Mechanics(English Edition),1993,14(11):1023-1031. 被引量：2
