The Contact Problem Between an Elliptical Punch and an Elastic Half-Space with Friction : The Case of the Punch Subjected to Torsion

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概要

• 論文の詳細を見る

• This paper is concerned with the contact problem of an elastic half-space subjected to torsional moment by a rigid elliptical punch. It is assumed that the contact is completely adhesive and that the normal pressure within the contact region cannot be neglected. This problem is equivalent to a mixed boundary value problem in which the displacements are specified inside the elliptical region and the surface stresses are specified and zero outside. The problem is reduced to solving simultaneous integral equations with kernels involving Bessel functions of the first kind of integer orders. It is further reduced to solving the Hilbert problem with infinite unknown functions by using the generalized Abel transform and the Plemelj formulae. A general method for solving the problem is shown. Numerical results for contact stresses and surface displacements are shown in graphical form for various aspect ratios of the ellipse.

• 一般社団法人日本機械学会の論文
• 1990-04-15

著者

• Koizumi Takashi

  Faculty of Engineering, Tokyo Institute of Technology

• Koizumi T

  Chuo Univ. Tokyo Jpn

• INOUE Hirotsugu

  Department of Mehanical and Control Engineering, Tokyo Institute of Technology

• Shibuya T

  Department Of Mechanical And Intelligent Systems Engineering Tokyo Institute Of Technology

• Shibuya T

  National Inst. Multimedia Education Chiba Jpn

• SHIBUYA Toshikazu

  Department of Mechanical and Intelligent Systems Eng., Tokyo Institute of Technology

• KOIZUMI Takashi

  Department of Mechanical Engineering for Production, Tokyo Institute of Technology

• Inoue Hirotsugu

  Department Of Mechanical And Intelligent Systems Engineering Tokyo Institute Of Technology

• Koizumi Takashi

  Department Of Applied Chemistry Faculty Of Engineering Kanagawa Institute Of Technology

• Koizuml Takashi

  Faculty Of Engineering Tokyo Institute Of Technology

• Shibuya Toshikazu

  Department Of Engineering Tokyo Institute Of Technology

• INOUE Hirotsugu

  Department of Mechanical and Control Engineering, Tokyo Institute of Technology

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