連続体の力学, 特に有限変形理論, の根本問題 : I.弾性および塑性変形に対するひずみ, ひずみ増分の定義の二元性

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タイトル別名
  • Foundations of the Mechanics of Continua for Finite Deformations : I. Definitions of Strain and Strain Increment Proper to Each of the Elastic and Plastic Deformations
  • レンゾクタイ ノ リキガク , トクニ ユウゲン ヘンケイ リロン , ノ コンポン モンダイ 1 2

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抄録

All the deformations of continuous media are grouped into the two types of deformation, the one is the elastic deformation due to the change in the distance among the constituent particles and the other the plastic deformation due to the change in the mode of connection of the particles. It is deduced from this essential difference of the mechanism of deformation between the two types that the theories of elasticity and plasticity should be distinguished in not only the stress-strain relation, but also the definitions of strain, strain increment and stress of themselves. In the 1st report, the definitions of strain and strain increment reasonable for the description of each of the elastic and plastic finite deformations were given, and the essential differences and relationships between them were clarified.

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