Jerzy Trębicki, PhD


Doctoral thesis
1997Stochastyczna analiza układów drgających o zimnej strukturze 
supervisor -- Prof. Kazimierz Sobczyk, PhD, DSc, IPPT PAN
528 
Recent publications
1.Sobczyk K., Trębicki J., Movchan A.B., Characterization of random microstructural stresses and fracture estimation, EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, ISSN: 0997-7538, DOI: 10.1016/j.euromechsol.2006.12.001, Vol.26, pp.573-591, 2007
Abstract:

In this paper, the analytical approach to quantitative characterization of random microstructural residual stress field in brittle elastic materials is presented. The analysis consists of two parts. First, we expound the basic features of random microstructural stresses and show how the eigenstrain approach (of “classical” micromechanics) can be extended to the situations where randomness of the initial eigenstrains has to be taken into account. The second part of the paper deals with the effects of random microstresses on crack growth phenomena. The stress intensity induced by random dilatant transformation eigenstrains and by thermally-induced random microstresses are treated in detail, including numerical and graphical illustrations of specific crack problems

Keywords:

Random residual microstresses, Random eigenstrain model, Stress intensity factor, Toughening effect, Thermal microstresses

Affiliations:
Sobczyk K.-IPPT PAN
Trębicki J.-IPPT PAN
Movchan A.B.-other affiliation
2.Trębicki J., Sobczyk K., On nonlinear stochastic vibratory systems with stiffness degradation, ACTA MECHANICA, ISSN: 0001-5970, DOI: 10.1007/s00707-007-0545-6, Vol.195, pp.203-214, 2007
Abstract:

In the paper a coupled response–degradation problem for a nonlinear vibrating system is analyzed. The analysis allows to account for the effect of stiffness degradation (during the vibration process) on the response and, in the same time, gives the actual stress values for estimation of damage accumulating in the system. The paper constitutes an extension of the approach (a sequential characterization of the degradation random process) presented in [4] to vibrating systems with nonlinear restoring term.

Affiliations:
Trębicki J.-IPPT PAN
Sobczyk K.-IPPT PAN
3.Ostoja-Starzewski M., Trębicki J., Stochastic dynamics of acceleration waves in random media, MECHANICS OF MATERIALS, ISSN: 0167-6636, Vol.38, pp.840-848, 2006
4.Sobczyk K., Trębicki J., Stochastic analysis of degrading vibratory systems, Statyba, ISSN: 1392-1525, DOI: 10.1080/13921525.1999.10531494, Vol.5, No.6, pp.394-398, 1999