Normal Stress Ratio Predicted by Viscoelastic Constitutive Equation

• Isaki, Takeharu

  Mitsui Chemicals, Polymers Laboratory

• Takahashi Masaoki

  Department of Polymer Science and Engineering, Kyoto Institute of Technology

書誌事項

タイトル別名

• Normal Stress Ratio Predicted by Viscoelastic Constitutive Equations.

抄録

The first and second normal stress differences, N ₁ and N₂ in steady shear flow are calculated using differential constitutive equations proposed by Leonov and Giesekus. At low shear rates, the Leonov model gives -N₂/ N₁=0.25 for both single and multiple relaxation modes. In the Giesekus model, −N₂/ N₁ increases with increasing anisotropy mobility parameter α. Both models predict that −N₂/N₁ is a decreasing function of the shear rate at high shear rates. The shear rate dependence of −N₂/N₁ becomes weaker with increasing width of relaxation time distribution. The BKZ type integral constitutive equation is employed to investigate the effect of a model parameter b (=N₂/N ₁) on steady planar, uniaxial and biaxial extensional flows. It is found that the strain rate dependences of planar2 and biaxial extensional viscosities are very sensitive to the parameter b, where 2 in planar extension denotes the direction of constant width.

収録刊行物

• 日本レオロジー学会誌

  日本レオロジー学会誌 30 (1), 65-69, 2002

  一般社団法人 日本レオロジー学会

キーワード

• Normal stress ratio
• Viscoelastic constitutive equation
• The Leonov model
• The Giesekus model
• The BKZ model

詳細情報

• CRID: 1390282680068467200
• NII論文ID: 10029814136
• NII書誌ID: AN00198812
• DOI: 10.1678/rheology.30.65
• ISSN: 21864586
• ISSN: 03871533
• NDL書誌ID: 6075316
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I6075316
• Web Site: http://www.jstage.jst.go.jp/article/rheology/30/1/30_1_65/_pdf
• 本文言語コード: en
• データソース種別:
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  • NDL
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