Fractional Calculus Approach to Dynamic Problems of Viscoelastic Materials.
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This article presents a review on the application of the fractional calculus to viscoelasticity. There are several methods to treat viscoelasticity of viscoelastic materials. One such method is to use the fractional derivative model for describing the constitutive relation of the materials. The application of the fractional operator in this field, the Riemann-Liouville's fractional operator is emphasized among several definitions of the fractional operator. The survey suggests that the viscoelastic constitutive models incorporating with the fractional calculus have been well established for fairly wide range of viscoelastic materials and the advantages of adopting the fractional calculus in viscoelasticity are that the constitutive relation of some viscoelastic materials can be described accurately by the fractional calculus model with a few experimental parameters, and that the fractional calculus approach can lead to well-posed problems even when incorporated into the finite element formulation.
収録刊行物
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- JSME International Journal Series C Mechanical Systems, Machine Elements and Manufacturing
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JSME International Journal Series C Mechanical Systems, Machine Elements and Manufacturing 42 (4), 825-837, 1999
一般社団法人 日本機械学会
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詳細情報 詳細情報について
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- CRID
- 1390282679656075776
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- NII論文ID
- 130003915032
- 110004156072
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- NII書誌ID
- AA11179487
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- BIBCODE
- 1999JSMEC..42..825S
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- ISSN
- 1347538X
- 13447653
- http://id.crossref.org/issn/13447653
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- NDL書誌ID
- 4938566
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可