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Tolerance modelling of nonstationary problems of microheterogeneous media and structures

Jędrysiak J., Domagalski Ł., Marczak J., Pazera E.

Vibrations in Physical Systems

2018

Vol. 29

art. no. 2018001

In this note a certain review of applications of a non-asymptotic modelling approach, called the tolerance modelling, is presented. Some objects and thermomechanical problems are shown, with a general outline of this method and an example of application for nonlinear vibrations of periodic beams.

On the certain asymptotic approach to the modelling of microheterogeneous media

Borowska J., Rychlewska J., Woźniak C.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2009

Vol. 8, nr 1

5-12

The object of analysis is mathematical modelling of thermomechanical problems of microheterogeneous media. The aim of this contribution is to propose a certain asymptotic modeling technique. The proposed approach is realized both in consistent and semiconsistent form.