3D MECHANICAL MODEL FOR DESCRIPTION OF LARGE ELASTIC DEFORMATIONS UNDER UNIAXIAL TENSION
Abstract
A 3D mechanical model for description of large deformations of non-linear elastic bodies is offered. The model describes various types of anisotropy, such as orthotropic, transversely isotropic, as well as isotropic bodies. The case of uniaxial tension is considered. Two characteristics of the nonlinear material similar to the linear Young's modulus and Poisson's ratio are investigated. The inner-model parameters effecting material specifications are analyzed.
About the Authors
Anatoly D. Azarov
South Federal University
Russian Federation
Russian Federation
Daniil A. Azarov
Don State Technical University
Russian Federation
Russian Federation
References
1. Lur'e A.I. Nelineinaya teoriya uprugosti / A.I. Lur'e. – M.: Nauka, 1970. – 940 s. – In Russian.
2. Azarov A.D. Modelirovanie bol'shih deformacii polimerov / A.D. Azarov // Sovremennye problemy mehaniki sploshnoi sredy: tr. IX mejdunar. konf. – Rostov n/D: OOO «CVVR», 2005. – T.1. – S. 13-16. – In Russian.
3. Bell D. F. Eksperimental'nye osnovy mehaniki deformiruemyh tverdyh tel. Ch.1. Malye deformacii / D. F. Bell. – M.: Nauka, 1984. – 600 s. – In Russian.
4. Sanditov D.S. Koefficient Puassona i plastichnost' stekol / D.S. Sanditov, V.V. Mantatov, B.D. Sanditov // Jurnal tehnicheskoi fiziki. – 2009. – T. 79, vyp. 4. – S. 150-152. – In Russian.
5. Sanditov D.S. Angarmonizm kolebanii reshetki i poperechnaya deformaciya kristallicheskih i stekloobraznyh tverdyh tel / D.S. Sanditov, V.V. Mantatov, B.D. Sanditov // Fizika tverdogo tela. – 2009. – T. 51, vyp. 5. – S. 947-951. – In Russian.
6. Feinman R. Feinmanovskie lekcii po fizike. – Vyp. 7. Fizika sploshnyh sred / R. Feinman, R. Leiton, M. Sends. – M.: Mir, 1966. – 290 s. – In Russian.
Review
For citations:
Azarov A.D., Azarov D.A. 3D MECHANICAL MODEL FOR DESCRIPTION OF LARGE ELASTIC DEFORMATIONS UNDER UNIAXIAL TENSION. Vestnik of Don State Technical University. 2011;11(2):147-156. (In Russ.)
Views:
399
Email this article 