Elastoplastic stress-strain state of flexible layered shells made of isotropic and transversely isotropic materials with different moduli and subjected to axisymmetric loading

被引:0
作者
M. E. Babeshko
Yu. N. Shevchenko
机构
[1] National Academy of Sciences of Ukraine,S. P. Timoshenko Institute of Mechanics
来源
International Applied Mechanics | 2007年 / 43卷
关键词
flexible layered shells of revolution; elastoplastic stress-strain state; theory of elasticity with different moduli of elasticity in tension and compression;
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摘要
The paper proposes a numerical technique for analysis of the elastoplastic stress-strain state of flexible layered shells of revolution under axisymmetric loading. It is assumed that the shells are made of isotropic and transversely isotropic materials with different moduli in tension and compression. The technique is based on a geometrically nonlinear theory of shells that takes into account the squared angles of rotation and the Kirchhoff-Love hypotheses for a layer stack. The deformation of isotropic materials is described using the theory of deformation along paths of small curvature. The deformation of transversely isotropic materials is described using the theory of elasticity with different moduli in tension and compression. The problem is solved by the method of successive approximations. A numerical example is given
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页码:1208 / 1217
页数:9
相关论文
共 17 条
[1]  
Babeshko M. E.(1996)Numerical investigation of the plastic stress-strain state of laminated shells in axisymmetric deformation processes with small-curvature trajectories and allowance for geometric nonlinearity Int. Appl. Mech. 32 646-651
[2]  
Grigorenko Ya. M.(1998)Design of corrugated circular plates under a local load as a flexible system of shells of revolution Int. Appl. Mech. 34 327-333
[3]  
Kryukov N. N.(1986)Theory of cylindrical shells of anisotropic materials of different moduli Int. Appl. Mech. 22 230-235
[4]  
Krizhanovskaya T. V.(2003)Thermoelastoplastic state of flexible laminated shells under axisymmetric loading along various plane paths Int. Appl. Mech. 39 177-184
[5]  
Zolochevskii A. A.(2005)Elastoplastic axisymmetric stress-strain state of laminated shells made of isotropic and transversely isotropic materials with different moduli Int. Appl. Mech. 41 910-916
[6]  
Babeshko M. E.(2006)Axisymmetric thermoelastoplastic stress-strain state of transversely isotropic laminated shells Int. Appl. Mech. 42 669-676
[7]  
Babeshko M. E.(2006)Axisymmetric thermoelastoplastic stress-strain state of flexible laminated transversely isotropic shells Int. Appl. Mech. 42 1380-1388
[8]  
Shevchenko Yu. N.(1977)Stress-strain relations for materials with different moduli in tension and compression AIAA J. 15 16-23
[9]  
Babeshko M. E.(2005)Nonaxisymmetric deformation of solids of revolution made of elastic orthotropic materials with different tensile and compressive moduli Int. Appl. Mech. 41 748-756
[10]  
Shevchenko Yu. N.(2006)Stress state of compound solids of revolution made of damaged orthotropic materials with different tensile and compressive moduli Int. Appl. Mech. 42 1246-1255