Abstract
In this paper, a new mathematical form, matrix continued fraction (MCF) is introduced to describe the decay of effects of an equilibrant system of forces acting on a sphere of an elastic body. By this way, the famous Saint-Venant's principle is proved often but not always valid in computational mechanics.
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References
Fung, Y.C.,Foundation of Solid Mechanics, Prentice-Hall, Inc., New Jersey (1965), 300–309.
Horgan, C.O. and J. K. Knowles, Recent development concerning Saint-Venant's principle,Advances in Applied Mechanics,23, Academic Press Inc. (1983), 179–269.
Tachibana, E., Two theorems on Saint-Venant's principle in discrete structural model, Jour. of Str. and Constr. Eng. (Transactions of AIJ), 351. (May, 1985), 55–64.
Wu, J.X. and H. Tsutsumi, A paradox on Saint-Venant's principle in discrete structure, Jour. of Str. and Constr. Eng. (Transactions of AIJ), 374. (April 1987), 57–62.
Wu, J. X. and H. Tsutsumi, The similarity of deformation of the links of lons chain model shape structure,Memoris of Faculty of Engineering Miyazaki University, 33 (June 1987).
Przemieniecki J. S.,Theory of Matrix Structural Analysis, McGraw-Hill Book Company (1968).
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Communicated by Chen Zhi-da
Deeply thank Prof. Liang Wu-tao, Chen Zhi-da, Zheng Zhao-bei, Wu Ji-ke, Wang Min-zhong, Wang Lei, Hua An-zeng, Wang Liang-guo, Chen Zi-yin, Xu Zhi-lun, et al., who have helped me work in this aspect.
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Jian-xun, W. The theory of static decay in computational mechanics. Appl Math Mech 12, 345–354 (1991). https://doi.org/10.1007/BF02020397
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DOI: https://doi.org/10.1007/BF02020397