Contact problem of conducting and heated punch on a multifield foundation

• Autorzy: Rogowski B.

Identyfikatory

DOI

10.1515/ijame-2015-0036

• Języki publikacji: EN

Abstrakty

EN

The solution for a multifield material subjected to temperature loading in a circular region is presented in an explicit analytical form. The study concerns the steady – state thermal loading infinite region (heated embedded inclusion), half – space region and two – constituent magneto – electro – thermo – elastic material region. The new mono – harmonic potential functions, obtained by the author, are used in the analysis of punch problem. The more interested case in which the contact region is annular is analyzed. By using the methods of triple integraf equations and series solution technique the solution for an indentured multifield substrate over an annular contact region is given. The sensitivity analysis of obtained indentation parameters shows some interesting points. In particular, it shows that the increasing of the applied electric and magnetic potentials reduces the indentation depth in multifield materials.

Słowa kluczowe

EN

magneto-electro-thermo-elastic medium; conducting and heated punch; contact problem; exact solution

PL

sprężystość materiałów; potencjał elektryczny; potencjał magnetyczny

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2015
• Tom: Vol. 20, no. 3
• Strony: 531--564
• Opis fizyczny: Bibliogr. 12 poz., wykr.

Twórcy

autor

Rogowski B.

• Department of Mechanics of Materials Lodz University of Technology Al. Politechniki 6, 90-924 Lodz, POLAND

Bibliografia

• [1] Chen W., Pan E., Wang H. and Zhang C. (2010): Theory of indentation on multiferroic composite materials. – Journal of the Mechanics and Physics of Solids, vol.58, pp.1524-1551.
• [2] Gladwell G.M.L. (1980): Contact Problems in the Classical Theory of Elasticity. – Amsterdam: Sijthoff and Noorthoff.
• [3] Gradsztejn I.S. and Ryzhik I.M. (1965): Tables of Integrals Series and Products. – New York: Academic Press.
• [4] Hills D.A., Nowell D. and Sackfield A. (1993): Mechanics of Elastic Contacts. – Butterworth-Heinemann.
• [5] Johnson K.L. (1985): Contact Mechanics. – UK: Cambridge University Press.
• [6] Kalinin S.V., Karapetian E. and Kachanov M. (2004): Nanoelectromechanics of piezoresponse force microscopy. – Physical Review B 70 184101(24).
• [7] Raous M., Jean M. and Moreau J.J. (1995): Contact Mechanics. – New York: Plenum Press.
• [8] Rogowski B. (2006): Contact Problems for Elastic Anisotropic Media. – A series of Monographs, Technical University of Lodz.
• [9] Rogowski B. (2006): Inclusion Problems for Elastic Anisotropic Media. – A series of Monographs, Technical University of Lodz.
• [10] Rogowski B. (2012): A concave indenter on a piezo – electro – magneto – elastic substrate or a layer elastically supported. – The Journal of Strain Analysis for Engineering Design 47.6, pp.362-378.
• [11] Rogowski B. (2014): Contact problems of smart MEEMs. – Lambert Academic Publishing, Saarbrücken Deutschland, Germany.
• [12] Rogowski B. and Kaliński W. (2012): Indentation of piezoelectromagnetoelastic half – space by a truncated conical punch. – International Journal of Engineering Science, vol.60, pp.77-93.