Application of the Cosserat Spectrum theory to viscoelasticity

Journal of the Mechanics and Physics of Solids

Volumn 46, Issue 10, 1998, Pages 1969-1980

  Markenscoff, Xanthippi ^a   Liu, Wensen ^a,b   Paukshto, Michael ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b AGC Paul S Roel Chair in Construction Engineering and Management   (United States)

^c ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

A. creep; B. viscoelastic material; C. Cosserat Spectrum

Indexed keywords

CREEP; EIGENVALUES AND EIGENFUNCTIONS; ELASTIC MODULI; LAPLACE TRANSFORMS; PROBLEM SOLVING;

COSSERAT SPECTRUM THEORY; LINEAR VISCOELASTICITY; VISCOELASTIC MODULI;

VISCOELASTICITY;

EID: 0032179030     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(98)00045-3     Document Type: Article

References (10)

1. Christensen, R. M. (1971) Theory of Viscoelasticity an Introduction. Academic Press, New York.
2. Cosserat, E. and Cosserat, F. (1898) Sur les equations de la theorie de l'elasticite. C. R. Acad. Sci. Paris 126, 1089-1091.
3. Florence, A. L. and Goodier, J. N. (1959) Thermal stress at spherical cavities and circular holes in uniform heat flow. Journal of Applied Mechanics 26, 293-294.
4. Lee, E. H. (1955) Stress analysis in viscoelastic bodies. Quarterly of Applied Mathematics 13, 183-190.
5. Lee, E. H., Radok, J. R. M. and Woodward, W. B. (1959) Stress analysis for linear viscoelastic materials. Transactions of the Society of Rheology 3, 41-59.
6. Luré, A. I. (1964) Three-dimensional Problems of the Theory of Elasticity. Interscience, New York.
7. Markenscoff, X. and Paukshto, M. V. (1998) The Cosserat spectrum in the theory of elasticity and applications. Proceedings of the Royal Society of London A454, 147-154.
8. Mikhlin, S. G. (1973) The spectrum of a family of operators in the theory of elasticity. Russian Math. Surveys 28, 45-88.
9. Pobedria, B. E. (1970) On solution of contact-type problems in the linear theory of viscoelasticity. Doklady Akad. Nauk SSSR 190, 297-300.
10. Radok, J. R. M. (1957) Viscoelastic stress analysis. Quarterly of Applied Mathematics 15, 198-202.