Publications

Books (Książki)

Research Papers (Publikacje badawcze) 

 

Sobczyk K., Scattering of plane wave at a random surface,
Proc. Vibr. Problems, Vol. 6, Nr 1, 99-109, 1965.

 

Sobczyk K., Scattering of Reyleigh waves at a random boundary of an elstic body,
 Proc. Vibr. Problems, Vol. 7, Nr 4,  363-374, 1966.

 

Sobczyk K., On dynamical systems with random initial conditions,
 Bull. De L Acad. Pol. Des Sci., Ser. Techn. Sci. Vol. 16, Nr 2, 1-7, 1968.

 

Sobczyk K., Thermoelastic field in semi-space bounded by a rough surface,
 Proc. Vibr. Problems, Vol. 9, Nr 2, 169-181, 1968.

 

Sobczyk K., Random vibrations of statistically inhomogeneous elastic systems,
 Proc. Vibr. Problems, Vol. 11, Nr 4, 369-381, 1970.

 

Sobczyk K., Free vibrations of elastic plate with random properties - the eigenvalue problem,
Journal of Sound and Vibration, Vol. 22, Nr 1, 33-39, 1972.

 

Sobczyk K., Reflection of a scalar wave from a plane with random impedance,
Acta Physica Polonica, Ser. A, 44(4), 581-586, 1973.

 

Sobczyk K., Wave propagation in stochastic media,
(in Russian) Miekhanika-Sb. pierevodov (Izd. Mir), 6/148, 142-157, 1974.

 

Sobczyk K., Elastic wave propagation in discrete random media,
Acta Mechanica, Vol. 25, Nr 1-2, 13-28, 1976.

 

Sobczyk K., Coherent wave propagation in stochastic material media,
Letters on Applied and Eng. Sciences - Intern. Journal, Vol. 4, Nr 2, 147-167, 1976.

 

Sobczyk K. and Macvean D.B., Non-stationary random vibrations of systems travelling with variable velocity,
 in: "Stochastic Problems in Dynamics" (Ed. B.D. Clarkson), Pitman, 412-434, 1976.

 

Sobczyk K., Macvean D.B. and Robson J.D., Response to profile-imposed excitation with randomly varying traversal velocity,
Journal of Sound and Vibration, Vol. 52 (1), 37-49, 1977.

 

Witt M. and Sobczyk K., Dynamic response of laminated plate to random loading,
Intern. J. of Solids and Structures, Vol. 16, Nr 2, 1980.

 

Kotulski Z. and Sobczyk K., Linear systems and normality,
Journal of Statistical Physics, Vol. 24, Nr 2, 359-373, 1981.

 

Sobczyk K., On the Markovian models for fatigue accumulation,
J. de Mecanique Theorique et Applique, N. special, 147-160, 1982.

 

Sobczyk K., On the reliability models for random fatigue damage,
in: "New Problems in Continuum Mechanics" (Eds: Brulin O., Hsieh R.), Waterloo University Press, 1983.

 

Sobczyk K., On the normal approximation in stochastic dynamics,
in: Proc. of IUTAM Symp. "Random vibrations and Reliability" (Ed. Hennig K.), Academie-Verlag, Berlin, 317-326, 1983.

 

Iwankiewicz R. and Sobczyk K., Dynamic response of linear structures to correlated random impulses,
Journal of Sound and Vibration, 86 (3), 303-317, 1983.

 

Kotulski Z. and Sobczyk K., Characteristic functionals of randomly excited physical systems,
Physica A, Vol. 123 A, 261-278, 1984.

 

Sobczyk K., Stochastic modelling of fatigue crack growth,
 in: Proc. of IUTAM Symp. "Probabilistic Methods in Mechanics of Solids and Structures" (Eds: Eggwertz S., Lind N.C.), Springer-Verlag, 111-119, 1985.

 

Sobczyk K., Stochastic waves: the existing results and new problems,
Probablistic Engineering Mechanics, Vol. 1, Nr 3, 167-176, 1986.

 

Sobczyk K., Modelling of random fatigue crack growth,
Engineering Fracture Mechanics, Vol. 24, Nr 4, 609-623, 1986.

 

Ditlevsen O. and Sobczyk K., Random fatigue crack growth with retardation,
Engineering Fracture Mechanics, Vol. 24, Nr 6, 861-878, 1986.

 

Sobczyk K., Probabilistic modelling of fatigue crack growth under variable amplitude loading,
in: "Random Vibrations - Status and Recent Developments", (Eds: Elishakoff I., Lyon R.H.), Elsevier, 451-458, 1986.

 

Sobczyk K., Stochastic models for fatigue damage of materials,
Advances in Applied Probability, Vol. 19, 652-673, 1987.

 

Kotulski Z. and Sobczyk K., Effects of parameter uncertainty on the response of vibratory systems to random excitation,
Journal of Sound and Vibrations, Vol. 119, Nr 1, 159-171, 1987.

 

Sobczyk K., Stochastic analysis of one-dimensional nonlinear wave processes,
in: Proc. of IUTAM Symp. "Nonlinear Stochastic Dynamic Engineering Systems" (Eds: Ziegler F., Schueller G.I.), Springer-Verlag, 313-320, 1988.

 

Kotulski Z. and Sobczyk K., On the moment stability of vibratory systems to random impulsive excitation,
Archives of Mechanics, Vol. 40, Nr 4, 1988.

 

Orłowski A. and Sobczyk K., Solitons and shock waves under random external noise,
Reports on Math. Physics, Vol. 27, Nr 2, 1989.

 

Sobczyk K., Stochastic modelling of fatigue accumulation,
 in: Proc. of IUTAM Congress "Theoretical and Applied Mechanics" (Eds: Germain P., Piau M., Caillerie D.), Elsevier, 1989.

 

Sobczyk K. and Trębicki J., Modelling of random fatigue by cumulative jump processes,
Eng. Fracture Mechanics, Vol. 34, Nr 2, 1989.

 

Sobczyk K., Stochastic approach to fatigue fracture,
in: "Continuous Models and Discrete Systems" (Ed. G. Maugin), Longman, 1990.

 

Sobczyk K. and Trębicki J., Maximum entropy principle in stochastic dynamics,
Probabilistic Eng. Mechanics, Vol. 5, Nr 3, 1990.

 

Sobczyk K. and Trębicki J., Cumulative jump-correlated model for random fatigue,
Eng. Fracture Mechanics, Vol. 40, Nr 1, pp. 201-210, 1991.

 

Sobczyk K., Korteweg de Vries solitons in randomly varying medium,
Intern. J. of Nonlinear Mechanics, Vol. 27, Nr 1, pp. 1-8, 1992.

 

Sobczyk K. and Trębicki J., Analysis of stochastic systems via maximum entropy principle,
 in: Nonlinear Stochastic Mechanics (Eds. Bellomo N., Casciati F.), pp. 485-497, Springer-Verlag, Berlin, 1992.

 

Sobczyk K. and Trębicki J., Maximum entropy principle and nonlinear stochastic oscillators,
Physica A, 193, pp. 448-468, 1993.

 

Sobczyk K., Stochastic wave propagation: results and recent trends,
in: Klemann W., Namachchivaya, (Eds.), Nonlinear Dynamics and Stochastic Mechanics, CRC Press, Boca Raton, London, 1995.

 

Sobczyk K., Trębicki J. and Spencer B.F., Jr., Modelling of curvilinear fatigue crack growth,
Eng. Fracture Mech., Vol. 52, No 4, 703-715, 1995.

 

Sobczyk K. and Spencer B.F., Jr., Random microstructural effects on fatigue accumulation,
Int. Journal of Fatigue, Vol. 17, No 8, pp. 521-530, 1995.

 

Sobczyk K., Wedrychowicz S. and Spencer B.F., Jr., Dynamics of structural systems with spatial randomness,
Int. Journal of Solids and Structures, Vol. 33, No 11, pp. 1651-1669, 1996.

 

Sobczyk K. and Trębicki J., Nonstationary response of stochastic systems via maximum entropy principle,
in: Advances in Nonlinear Stochastic Mechanics (Eds. Naess A. and Krenk S.), Kluwer Acad. Publ., 1996.

 

Sobczyk K. and Trębicki J., Modelling of randomly meandering fatigue crack growth
in: Probabilistic Mechanics and Structural Reliability (Eds. Frangopol, D.M., Grigoriu M.), ASCE, N. York, 1996.

 

Trębicki J. and Sobczyk K., Curvilinear fatigue crack growth: effect of overloads,
Fatigue and Fracture of Eng. Materials and Structures - The Intern. Journal, Vol. 19, No 2/3, pp. 361-371, 1996.

 

Trębicki J. and Sobczyk K., Maximum entropy principle and non-stationary distributions of stochastic systems,
Probabilistic Eng. Mechanics, Vol. 11, pp.169-178, 1996.

 

Sobczyk K., Probability distributions for stochastic systems: maximum entropy method,
Probabilistic Eng. Mechanics, Vol. 12, no 4, 1997.

 

Sobczyk K., On cumulative jump models for random deterioration processes,
Annales Universitatis Maria Curie-Sklodowska, Lublin - Polonia, Vol. LI.1, 15 (Sectio A - Matematica), pp. 145-157, 1997.

 

Sobczyk K., Stochastic nonlinear systems: existing methods and new results,
ZAMM (Zeitschrift fur Angevandte Mathematik und Mechanik), 78, 10, 651-661, 1998.

 

Sobczyk K. and Trębicki J., Approximate probability distributions for stochastic systems: maximum entropy method,
Computational Methods in Applied Mechanics and Engineering, 168, 91-111, 1999.

 

Sobczyk K., Information Dynamics: Premises, Challenges and Results,
Mech. Systems & Signal Processing, 15 (3), 475-498, 2001.

 

Sobczyk K., Reconstruction of random material microstructures; patterns of maximum entropy,
Probabilistic Eng. Mechanics, Vol. 18, No. 4, pp. 279-287, 2003.
Sobczyk K., Trębicki J., Movchan A. B., Crack path in an elastic material with a random array of small defects,
 Intern. J. of Fracture, Vol. 125, pp. 103-123, 2004.

Sobczyk K., Trębicki J., Fatigue crack growth in random residual stresses,
 Intern. J. of Fatigue, Vol. 26, pp. 1179-87, 2004.

Papadimitriu C., Haralampidis Y., Sobczyk K., Optimal experiment design in stochastic structural dynamics,
Probabilistic Eng. Mechanics, Vol. 20, pp. 68-78, 2005.

 

Sobczyk K., Stochastic Dynamics of Engineering Systems: origins, challenges and results,
 in: W. Gutkowski, T.A. Kowalewski: Mechanics of the 21-st Century (Proc. of ICTAM-2004: pp. 19-60, Springer, 2005).

Sobczyk K., Trębicki J., Effect of random microstructures on short fatigue crack growth,
Proc. of ICOSSAR-2005 (Eds. Augusti G., Schueller G.I., Ciampoli M.), Millpress Rotterdam, pp. 3535-3540, 2005.

Sobczyk K., Stochastic dynamics and reliability of degrading systems,
Bull. of Polish Acad. Sci. - Technical Sci., Vol. 54, No. 1, pp. 125-138, 2006.

Sobczyk K., Randomness complexity and predictability: toward understanding,
(in Polish), Nauka (quarterly of the Polish Acad. of Sciences), No. 2, pp. 45-65, 2006.

Sobczyk K., Trębicki J., Movchan A.B., Characterization of random microstructural stresses and fracture estimation,
European J. of Mech./A-Solids, Vol. 25, No. 1, 2007.

Hołobut P., Sobczyk K., Random hydrogen-induced stresses and effects on cracking,
Archives of Mechanics, Vol. 59, No. 6, pp. 559-579, 2007.

Gaidai O., Naess A., Sobczyk K., The effect of fatigue-induced crack propagation on the stochastic dynamics of a nonlinear structure,
Probabilistic Eng. Mechanics, Vol. 23, No. 4, pp. 438-443, 2008.

Sobczyk K., Morphological complexity of material microstructures: from stochastic models to fracture estimation,
Probabilistic Eng. Mechanics, Vol. 23, No. 4, pp. 444-455, 2008.

Sobczyk K., Perros K., Papadimitriou C., Fatigue reliability of multi-dimensional vibratory degrading systems under random loading,
ASCE J. of Engineering Mechanics, Vol. 136, No. 2, pp. 179-188, 2010.

Sobczyk K., Hołobut P., Information-theoretic approach to dynamics of stochastic systems,
Probabilistic Eng. Mechanics, 2011.