Laplace Transform and New Mathematical Theory of Viscoelasticity

Meccanica

Volumn 32, Issue 3, 1997, Pages 187-195

  Brilla, Jozef ^a  

^a Council of Scientific Societies ^*  (Slovakia)

Author keywords

Error estimates; Generalized variational principles; Solid mechanics; Spectral theory; Transform methods

Indexed keywords

FINITE ELEMENT METHOD; LAPLACE TRANSFORMS; MATHEMATICAL OPERATORS; MECHANICS; VARIATIONAL TECHNIQUES;

GENERALIZED HARDY SPACES; SOLID MECHANICS; WEIGHTED ANISOTROPIC SOBOLEV SPACES;

VISCOELASTICITY;

EID: 0031163650     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. Brilla, J., 'Variational methods in mathematical theory of viscoelasticity', in: Ráb, M. (ed.), Proc. Equadiff 3, J.E. Purkyne University, Brno, p. 73.
2. Brilla, J., 'Generalized variational methods in linear viscoelasticity', in: Hult, J. (ed.) Mechanics of Visco-Elastic Media and Solids, Springer, 1975.
3. Brilla, J., 'Finite element analysis of a system of quasiparabolic differential equations', Acta Univ. Carolinae, Math. et Physics 1-2, 1974.
4. Brilla, J., 'Variational principles and methods for viscoelastic plates and shells', in: S. Nemat-Nasser (ed.), Variational Methods in the Mechanics of Solids, Pergamon Press, 1980.
5. Brilla, J., 'Error analysis for Laplace transform-finite element solution of hyperbolic equations', Num. Math. 41 (1983).
6. Brilla, J., 'Mathematical aspects of the theory of viscoelasticity', in: Besseling, J.F. and Eckhaus, W. (eds.), Trends in Applications of Mathematics to Mechanics, Springer, 1988.
7. Brilla, J., 'Spectral analysis of non-self-adjoint operators', in: Vosmanský, J. and Zlámal, M. (eds), Proc. Equadiff 6, Springer, 1986.
8. Brilla, J., 'On spectral analysis of non-selfadjoint operators in mechanics', in: Kröner, H. and Kirchgässner, K. (eds), Trends in Applications of Pure Mathematics to Mechanics, Springer, 1986.
9. Gurtin, M. E., 'Variational principles in the linear theory of viscoelasticity', Arch. Ration. Mech. Anal. 13 (1963).
10. Brilla, J., 'Laplace transform-boundary element method for time dependent problems', in: Brebbia, C.A., Wendland, W.L. and Kuhn, G. (eds.), Boundary Element IX, Vol.3, Springer, 1987.
11. Oden, J. T. and Reddy, J. N., An Introduction to the Mathematical Theory of Finite Elements, John Wiley & Sons, New York, London, Sydney, Toronto, 1976.
12. Gokhberg, I. C. and Krein, M. G., Vvedenie v teoriju linejnych nesamosoprjazhenych operatorov, Nauka, Moskva (in Russian), 1965.
13. Brilla, J., 'Functional analytic approach to linear viscoelastodynamics', in: Schneider, W., Troger, H. and Ziegler, F. (eds.), Trends in Applications of Mathematics to Mechanics, Longman, 1991.