| 1. |
Hanyga A.♦, Seredyńska M., Positivity of Green's functions for a class of partial integro-differential equations including viscoelasticity,
WAVE MOTION, ISSN: 0165-2125, Vol.47, No.8, pp.648-662, 2010 |  | 32p. |
| 2. |
Seredyńska M., Hanyga A.♦, Relaxation, dispersion, attenuation and finite propagation speed in viscoelastic media,
JOURNAL OF MATHEMATICAL PHYSICS, ISSN: 0022-2488, Vol.51, No.9, pp.092901-1-16, 2010 | | 20p. |
| 3. |
Seredyńska M., Hanyga A.♦, Cones of material response functions in 1D and anisotropic linear viscoelasticity,
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, ISSN: 1364-503X, DOI: 10.1098/rspa.2009.0305, Vol.465, pp.3751-3770, 2009 Streszczenie:
Viscoelastic materials have non-negative relaxation spectra. This property implies that viscoelastic response functions satisfy certain necessary and sufficient conditions. These conditions can be expressed in terms of each viscoelastic response function ranging over a cone. The elements of each cone are completely characterized by an integral representation. The 1:1 correspondence between the viscoelastic response functions is expressed in terms of cone-preserving mappings and their inverses. The theory covers scalar- and tensor-valued viscoelastic response functions. Słowa kluczowe:
viscoelasticity, completely monotone function, Herglotz function, relaxation, Bernstein function, Stieltjes function Afiliacje autorów:
| Seredyńska M. | - | IPPT PAN | | Hanyga A. | - | University of Bergen (NO) |
| | 32p. |
| 4. |
Hanyga A.♦, Seredyńska M., A rigorous construction of maximum recoverable work,
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK ZAMP, ISSN: 0044-2275, Vol.59, No.5, pp.722-732, 2008 | |
| 5. |
Hanyga A.♦, Seredyńska M., Hamiltonian and Lagrangian theory of viscoelasticity,
CONTINUUM MECHANICS AND THERMODYNAMICS, ISSN: 0935-1175, Vol.19, pp.475-492, 2008 |  |
| 6. |
Hanyga A.♦, Seredyńska M., On a mathematical framework for the constitutive equations of anisotropic dielectric relaxation,
JOURNAL OF STATISTICAL PHYSICS, ISSN: 0022-4715, Vol.131, No.2, pp.266-303, 2008 | |
| 7. |
Hanyga A.♦, Seredyńska M., Multiple-integral viscoelastic constitutive equations,
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, ISSN: 0020-7462, Vol.42, pp.722-732, 2007 | |
| 8. |
Hanyga A.♦, Seredyńska M., Relations between relaxation modulus and creep compliance in anisotropic linear viscoelasticity,
JOURNAL OF ELASTICITY, ISSN: 0374-3535, Vol.88, pp.41-46, 2007 | |
| 9. |
Hanyga A.♦, Seredyńska M., A dynamic model of capillary hysteresis in immiscible fluid displacement,
TRANSPORT IN POROUS MEDIA, ISSN: 0169-3913, Vol.59, No.3, pp.249-265, 2005 | |
| 10. |
Seredyńska M., Hanyga A.♦, Nonlinear differential equation with fractional damping with applications to the 1dof and 2dof pendulum,
ACTA MECHANICA, ISSN: 0001-5970, Vol.176, pp.169-183, 2005 | |
| 11. |
Hanyga A.♦, Rozwiązania problemu Riemanna dla dowolnych hiperbolicznych układów praw zachowania (Praca habilitacyjna),
Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.38, pp.1-137, 1975 | |
