スピンについての一考察

• 後藤 学

書誌事項

タイトル別名

• An inquiry into the spin of a deforming body.
• スピン ニ ツイテ ノ イチコウサツ

抄録

The conventional form of constitutive equations of solids is substantially and critically studied with the motivation that the τ-γ relation of a kinematically hardening plastic body subjected to simple shearing was found recently to be in the shape of a sine-curve in the range of large strain. It is concluded that the rate-type constitutive equation should take the form Σ^^(▽)=D^^:Γ^^(▽), and not the conventional form Σ^^(◯)=D^^:Γ^, where Σ=stress, Γ=strain, super-▽ denotes the objective rate and super-◯ denotes the Jaumann-rate. The objective rates should be those with the spins of the principal axes of the corresponding physical quantities, not with the continuum spin ω_c=(1/2)(L-L^T), as in the Jaumann rate. Several other fundamental and important propositions are presented.

収録刊行物

• 日本機械学会論文集Ａ編

  日本機械学会論文集Ａ編 52 (476), 1134-1141, 1986

  一般社団法人 日本機械学会

キーワード

• Plasticity
• Constitutive Equation
• Spin
• Objectivity
• Incremental Form
• Large Deformation

詳細情報

• CRID: 1390001204476932096
• NII論文ID: 110002376902
• NII書誌ID: AN0018742X
• DOI: 10.1299/kikaia.52.1134
• ISSN: 18848338
• ISSN: 03875008
• ISSN: http://id.crossref.org/issn/00290270
• NDL書誌ID: 3075687
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I3075687
• Web Site: http://www.jstage.jst.go.jp/article/kikaia1979/52/476/52_476_1134/_pdf
• 本文言語コード: ja
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可