塑性不安定における概念と固有状態

• 守時 一

書誌事項

タイトル別名

• Concept and eigenstate in plastic instability

抄録

In the framework of mechanics of plasticity plastic instability has been taken up as the onset of ductile fracture. The occurrence of ductile fracture begins from the appearance of necking phenomena. Hill established a sufficient criterion for uniqueness of boundary-value problem set by given velocities on a part of surface of a body and given nominal traction-rates on the remainder without any restriction placed on changes on geometry. Hill also introduced eigenstates intrinsic to the material wherein the strain can change while the conjugate stress is either stationary or coupled differentially with the strain. The former eigenstate is said to be active, and the latter one is latent. But, identical eigenstate can be obtained under either the latent or the active condition. The latent condition demands work done in second order to vanish, and the active condition corresponds to simultaneous stationary in loads. We adopted the latent condition as the concept of instability, and discussed the onset of plastic instability in several kinds of deformation under hydrostatic pressure. We showed that the eigenstate does not realize simultaneous stationary on loads except for some special cases.

収録刊行物

• 日本機械学会論文集

  日本機械学会論文集 81 (828), 15-00204-15-00204, 2015

  一般社団法人 日本機械学会

キーワード

• Plasticity
• Plastic instability
• Ductility
• Necking onset
• Uniqueness of solution
• Formability of sheets and rods under hydrostatic pressure
• Formability in drawing and forging processes

詳細情報

• CRID: 1390282680491999616
• NII論文ID: 130005095711
• DOI: 10.1299/transjsme.15-00204
• ISSN: 21879761
• Web Site: https://www.jstage.jst.go.jp/article/transjsme/advpub/0/advpub_15-00204/_pdf
• 本文言語コード: ja
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可