Stress Field of Orthotropic Cylinder Subjected to Axial Compression

ZHONG Wei-zhou; SONG Shun-cheng; CHEN Gang; HUANG Xi-cheng; HUANG Peng

doi:10.3879/j.issn.1000-0887.2010.03.004

Volume 31 Issue 3

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Article Navigation > Applied Mathematics and Mechanics > 2010 > 31(3): 285-294

ZHONG Wei-zhou, SONG Shun-cheng, CHEN Gang, HUANG Xi-cheng, HUANG Peng. Stress Field of Orthotropic Cylinder Subjected to Axial Compression[J]. Applied Mathematics and Mechanics, 2010, 31(3): 285-294. doi: 10.3879/j.issn.1000-0887.2010.03.004

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Stress Field of Orthotropic Cylinder Subjected to Axial Compression

doi: 10.3879/j.issn.1000-0887.2010.03.004

1.
School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, P. R. China;

Received Date: 2009-11-01
Rev Recd Date: 2010-01-11
Publish Date: 2010-03-15

Abstract

Abstract

Based on the material volume cons tancy hypothesis, circum ference and radial stresses of cylinder specmien were analyzed when the cylinder is loaded along the axial direction. Circum ference and radial stress distribution is radius parameter power function when specimen material constitutive relation is orthotropic. The stress distribution is radius parameter quadratic function for transverse isotropy material. A long the cylinder axial line, circum ference and radial stresses were maxmium and equal to each other. In the circum ference boundary surface, radial stress is zero and circum ference stress value is the minmium. The maxtensile circumference strain failure theory is applied to calculate critical axial loading. Circum ference boundary layer failure criterion of orthotropic material cylinder is described by HillTsai strength theory. The obtained strength theory is not only related to axial stress and specmien materialm echanical properties, but a lso to specmienaxial de formation strain rate and change rate of strain rate.
- ortho tropic,
- axial compression,
- axial symmetry,
- stress distribution,
- strain rate

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References(21)

References

[1]	Cazacu O, Plunkett B, Barlat F. Orthotropic yield criterion for hexagonal closed packed metals[J]. International Journal of Plasticity, 2006, 22(7): 1171-1194. doi: 10.1016/j.ijplas.2005.06.001
[2]	Plunkett B, Cazacu O, Barlat F. Orthotropic yield criteria for description of the anisotropy in tension and compression of sheet metals[J]. International Journal of Plasticity, 2008, 24(5): 847-866. doi: 10.1016/j.ijplas.2007.07.013
[3]	曾纪杰, 傅衣铭. 正交各向异性圆柱壳的弹塑性屈曲分析[J]. 工程力学, 2006, 23(10): 25-29.
[4]	Abd-Alla A M, Farhan A M. Effect of the non-homogenity on the composite infinite cylinder of orthotropic material[J]. Physics Letters A， 2008, 372(6): 756-760. doi: 10.1016/j.physleta.2007.08.029
[5]	田燕萍, 傅衣铭. 考虑损伤效应的正交各向异性板的弹塑性后屈曲分析[J]. 应用数学和力学, 2008, 29(7): 764-774.
[6]	Jeffrey E B, Ellen M A, Karl G. Finite element simulations of orthotropic hyperelasticity[J]. Finite Elements in Analysis and Design, 2002, 38(10): 983-998. doi: 10.1016/S0168-874X(02)00089-6
[7]	Romashchenko V A, Tarasovskaya S A. Numerical studies on the dynamic behavior of multilayer thick-walled cylinders with helical orthotropy[J]. Strength of Materials, 2004, 36(6): 621-629. doi: 10.1007/s11223-005-0008-z
[8]	Redekop D. Buckling analysis of an orthotropic thin shell of revolution using differential quadrature[J]. International Journal of Pressure Vessels and Piping, 2005, 82(8): 618-624. doi: 10.1016/j.ijpvp.2005.02.003
[9]	Grigorenko Y M, Rozhok L S. Influence of orthotropy parameters on the stress state of hollow cylinders with elliptic cross-section[J]. International Applied Mechanics, 2007, 43(12): 1372-1379. doi: 10.1007/s10778-008-0008-3
[10]	Xu H M, Yao X F, Feng X Q, et al. Fundamental solution of a power-law orthotropic and half-space functionally graded material under line loads[J]. Composites Science and Technology, 2008, 68(1): 27-34. doi: 10.1016/j.compscitech.2007.05.041
[11]	Emery T R, Dulieu-Barton J M, Earl J S, et al. A generalised approach to the calibration of orthotropic materials for thermoelastic stress analysis[J]. Composites Science and Technology, 2008, 68(3/4): 743-752. doi: 10.1016/j.compscitech.2007.09.002
[12]	Capsoni A, Corradi L, Vena P. Limit analysis of orthotropic structures based on Hill’s yield condition[J]. International Journal of Solids and Structures, 2001, 38(22/23): 3945-3963. doi: 10.1016/S0020-7683(00)00241-9
[13]	Valot E, Vannucci P. Some exact solutions for fully orthotropic laminates[J]. Composite Structures, 2005, 69(2): 157-166. doi: 10.1016/j.compstruct.2004.06.007
[14]	Ma G W, Gama B A, Gillespie J W, Jr. Plastic limit analysis of cylindrically orthotropic circular plates[J]. Composite Structures, 2002, 55(4): 455-466. doi: 10.1016/S0263-8223(01)00174-X
[15]	Shipsha A, Berglund L A. Shear coupling effects on stress and strain distributions in wood subjected to transverse compression[J]. Composites Science and Technology, 2007, 67(7/8): 1362-1369. doi: 10.1016/j.compscitech.2006.09.013
[16]	Mackenzie-Helnwein P, Mullner H W, Eberhardsteiner J, et al. Analysis of layered wooden shells using an orthotropic elasto-plastic model for multi-axial loading of clear spruce wood[J]. Computer Methods in Applied Mechanics and Engineering, 2005, 194(21/24): 2661-2685. doi: 10.1016/j.cma.2004.07.051
[17]	Lyons C K. Stress functions for a heterogeneous section of a tree[J]. International Journal of Solids and Structures, 2002, 39(18): 4615-4625. doi: 10.1016/S0020-7683(02)00381-5
[18]	Lyons C K, Guenther R B, Pyles M R. Elastic equations for a cylindrical section of a tree[J]. International Journal of Solids and Structures, 2002, 39(18): 4773-4786. doi: 10.1016/S0020-7683(02)00373-6
[19]	Galicki J, Czech M. Tensile strength of softwood in LR orthotropy plane[J]. Mechanics of Materials, 2005, 37(6): 677-686. doi: 10.1016/j.mechmat.2004.07.001
[20]	徐卫亚, 张贵科. 节理岩体正交各向异性等效强度参数研究[J]. 岩土工程学报, 2007, 29(6): 806-810.
[21]	徐芝纶. 弹性力学[M]. 北京: 高等教育出版社, 1990,93-97.