Frictionless contact between a rigid indentor and a transversely isotropic functionally graded layer

• Autorzy: Patra R. , Barik S. P. , Chaudhuri P. K.

Identyfikatory

DOI

10.2478/ijame-2018-0036

• Języki publikacji: EN

Abstrakty

EN

This article is concerned with the study of frictionless contact between a rigid punch and a transversely isotropic functionally graded layer. The rigid punch is assumed to be axially symmetric and is supposed to be pressing the layer by an applied concentrated load. The layer is resting on a rigid base and is assumed to be sufficiently thick in comparison with the amount of indentation by the rigid punch. The graded layer is modeled as a non-homogeneous medium. The relationship between the applied load P and the contact area is obtained by solving the mathematically formulated problem through using the Hankel transform of different order. Numerical results have been presented to assess the effects of functional grading of the medium and the applied load on the stress distribution in the layer as well as on the relationship between the applied load and the area of contact.

Słowa kluczowe

EN

functionally graded material; transversely isotropic medium; Hankel transform; contact problem; Fredholm integral equation

PL

równanie całkowe Fredholma; transformacja Hankela; rozkład naprężeń

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2018
• Tom: Vol. 23, no. 3
• Strony: 655--671
• Opis fizyczny: Bibliogr. 36 poz., rys., tab., wykr.

Twórcy

autor

Patra R.

• Department of Mathematics, Hooghly Engineering and Technology College Vivekananda Road, Hooghly-712103, INDIA

autor

Barik S. P.

• Department of Mathematics, Gobardanga Hindu College 24-Parganas (N), Pin-743273, INDIA

autor

Chaudhuri P. K.

• Department of Applied Mathematics, University of Calcutta 92, A. P. C. Road, Kolkata-700009, INDIA

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019)