Absolute Representations of Spins of Principal Frames in a Continuum

Guo Zhong-heng; Liang Hao-yun

Volume 12 Issue 1

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Article Navigation > Applied Mathematics and Mechanics > 1991 > 12(1): 39-44

Guo Zhong-heng, Liang Hao-yun. Absolute Representations of Spins of Principal Frames in a Continuum[J]. Applied Mathematics and Mechanics, 1991, 12(1): 39-44.

Citation:

Guo Zhong-heng, Liang Hao-yun. Absolute Representations of Spins of Principal Frames in a Continuum[J]. Applied Mathematics and Mechanics, 1991, 12(1): 39-44.

Citation:

Guo Zhong-heng, Liang Hao-yun. Absolute Representations of Spins of Principal Frames in a Continuum[J]. Applied Mathematics and Mechanics, 1991, 12(1): 39-44.

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Absolute Representations of Spins of Principal Frames in a Continuum

Guo Zhong-heng¹,
Liang Hao-yun²

1.
Department of Mathematics, Peking University, Beijing;
2.
Department of Mechanics, Zhongshan University, Guangzhou

Received Date: 1989-12-11
Publish Date: 1991-01-15

Abstract

Abstract

The presem paper offers a general me thod to find the absolute expressions for different spins in a continuum for which only "the principal axis expressions" were available, and in this way it makes the further applications of these spins possible.
- spins,
- principal axis representation,
- absolute representation

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References(10)

References

[1]	Hill, R., On constitutive inequalities for simple materials 1 and II, J. Mech. Phys. solids, 16 (1968),229-242, 315-322.
[2]	Hill, R., Aspects of invariance in solid mechanics, Adv. in Applied Mech. (Ed. Ly Yih, C,S.),18, Academic Press, New York (1978). 1-75.
[3]	郭仲衡和R. N Dubey,非线性连续介质力学中的“主轴法.,力学进展,13 (1983),1-1.
[4]	Guo Zhong-heng and R. N. Dubey,Spins in a deforming continuum, SM Arch., 9 (1984)53-61.
[5]	Mehrabadi, M. M. and S. Nemat-Nasser, Some basic kinematical relations for finite deformations of continua, hlech. Materials, 6 (1987), 127-138.
[6]	程莉、黄克智,固化物质导数与标架旋率.力学学报,19 (1987),524-528
[7]	郭仲衡,连续介质的自旋和伸长率标架旋率,应用数学和力学,8 (1988),1045-1048.
[8]	Nemat-Nasser, S., On finite deformation elasto-plasticity. Int. J. Solids Structures,l8(1982),857-872.
[9]	Spencer, A. J. M., Theory of invariants, Continuum Physics, Vol. 1,(Ed. by A. C. Eringen),Academic Press, New York,(19751.
[10]	郭仲衡,《张量》(理论和应用),科学出版社,北京(1988).

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