Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (1): 27-35.

• 论文 • 上一篇    下一篇

GENERALIZED THEORY OF NONLINEAR AND UNSTEADY MECHANICSAND APPLICATIONS TO PARTICLE PHYSICS

杨文熊   

  1. Shanghai Jiaotony University, Shanghai
  • 收稿日期:1994-03-23 出版日期:1995-01-18 发布日期:1995-01-18

GENERALIZED THEORY OF NONLINEAR AND UNSTEADY MECHANICSAND APPLICATIONS TO PARTICLE PHYSICS

Yang Wen-xiong   

  1. Shanghai Jiaotony University, Shanghai
  • Received:1994-03-23 Online:1995-01-18 Published:1995-01-18

摘要: In this paper we consider that the momentum of a free particle motion withhigh-level speed presenting nonlinear effects may be expanded by using Laurent seriesand then obtain the complete expression of nonlinear and unsteady momentum. These nonlinear and unsieady phenoniena of high-level speed may further expand to the theory of kinematics and it may be determined by Fredholm’s integral equation of the first kind. In addition, according to the nonlinear and unsteady momentum obtained the relations of the nonlinear mechanics equations .work and energy, mass and energymay be derived.Finaly .this paper also calculates those experimental results which done in particle physics for mu-mesons u±and fast neutrons n, these results are in agreement with data perfectly.

关键词: magneto-electro-elastic solid, Stroh formalism, coupled field, inclusion, theory of generalized nonlinear mechanics, characteristic speed.Laurent senes, particle physics, μ± meson, fast neutron

Abstract: In this paper we consider that the momentum of a free particle motion withhigh-level speed presenting nonlinear effects may be expanded by using Laurent seriesand then obtain the complete expression of nonlinear and unsteady momentum. These nonlinear and unsieady phenoniena of high-level speed may further expand to the theory of kinematics and it may be determined by Fredholm’s integral equation of the first kind. In addition, according to the nonlinear and unsteady momentum obtained the relations of the nonlinear mechanics equations .work and energy, mass and energymay be derived.Finaly .this paper also calculates those experimental results which done in particle physics for mu-mesons u±and fast neutrons n, these results are in agreement with data perfectly.

Key words: magneto-electro-elastic solid, Stroh formalism, coupled field, inclusion, theory of generalized nonlinear mechanics, characteristic speed.Laurent senes, particle physics, μ± meson, fast neutron

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