Application of Gasdynamical Method to Soil Mechanics and Theory of Plasticity (I)

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概要

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• The author discusses the two-dimensional isostatical problem in the mechanics of either perfectly plastic or pulverulent body, obeying the maximum shear theory in "plane strain" or Coulomb's plasticity condition in "plane stress" respectively, as a kind of gasdynamics of the hypothetical gas here introduced. This gas is non-viscous compressible and obeys the following pressure-density relation: plp^γ=const., -1<γ<1, or p/log p=eonst. The velocity of sound of the gas at rest is chosen to be zero in either case. By applying the hodograph method, well-known in gasdynamics, to the gas flow, a general solution of the problem is obtained. After considering simple waves and shocks of the gas flow, an extension of the analogy to plastic bodies of revolution is briefly mentioned.

• 社団法人日本物理学会の論文
• 1952-12-25

著者

• Inoue Nobuo

  Faculty Of Engineering Doshisha University

関連論文

• A New Method of Solution of the Two-Dimensional Isostatical Problem in the Mathematical Theory of Plasticity
• On some Hypothetical Gases
• Some Cases of the Axially Symmetrical Flow of Perfectly Plastic Materials
• Study of Sopersonic Gas Flow through Nozzle by Plastic, Deformation
• Plane Strain Slip Line Fields for Polymer Deformation Processes
• Application of Gasdynamical Method to Soil Mechanics and Theory of Plasticity (I)
• Application of Gasdynamical Method to Soil Mechanics and Theory of Plasticity (II)

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