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On elastic contact problems of micro-periodic slant layered composite pressed by a rigid punch with a parabolic or rectangular shape

Sebastianiuk Piotr, Perkowski Dariusz M., Kulchytsky-Zhyhailo Roman

Bulletin of the Polish Academy of Sciences. Technical Sciences

2021

Vol. 69, nr 6

art. no. e138091

The paper presents an analysis of the influence of the shape of the rigid body pressed into the micro-periodic composite half-space on the examples of two punch shapes – parabolic and rectangular. The presented material is a layered body that consists of infinitely many thin alternately arranged homogenous layers. Layers of the presented composite are oblique to the boundary surface. Two cases of punch tip shape are examined – parabolic and rectangular. The presented problem has been formulated within the framework of a homogenized model with microlocal parameters and solved using the elastic potentials method and averaged boundary condition. Fourier integral transform method has been used to obtain the solution and the inverse integrals have been calculated numerically. Solutions in terms of contact pressure and maximum pressure characteristics were shown in the form of graphs.

On the tolerance wave-type solutions to the hyperbolic heat conduction in microperiodic composites

Łacińska L., Wierzbicki E.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2008

Vol. 7, nr 1

93-97

In the note wave-type solutions to the hyperbolic heat conduction in the microperiodic composites are investigated. The considerations are related to the tolerance averaged model of the hyperbolic heat transfer problems in microperiodic composites. The Lapunov exponent notation is applied. The open form of these solutions are formulated in one shape function case.

Internal variables in dynamics of elastic solids with a periodic microstructure

Rychlewska J., Woźniak C.

Vibrations in Physical Systems

2002

Vol. 20

260--261

Finite difference formulation of dynamic problems in microperiodic media

Rychlewska J., Szymczyk J., Woźniak C.

Vibrations in Physical Systems

2002

Vol. 20

258--259