On the contact problem in piezoelectroelasticity

• Autorzy: Kaliński W. , Rogowski B.
• Języki publikacji: EN

Abstrakty

EN

The problem of electroelasticity for piezoelectric materials is considered. The fundamental solutions for the axi-symmetric problem of piezoelasticity are utilized to solve a smooth contact problem. Exact solutions are obtained for elastic and electric fields in the contact problem. If the contact region is an annular three-part then the mixed boundary value problem is considered. In this case the solution is approximated as series solution.

Słowa kluczowe

EN

piezoelectric medium; transverse isotropy; potential theory method; circular punch; exact solution; annular contact region; series solution

PL

materiały piezoelektryczne; tworzywa termoplastyczne

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2009
• Tom: Vol. 14, no 1
• Strony: 157--174
• Opis fizyczny: Bibliogr. 20 poz., tab., wykr.

Twórcy

autor

Kaliński W.

autor

Rogowski B.

• Mechanics of Materials Technical University of Lodz,

Bibliografia

• Berlincourt D.A., Curran D.R. and Jaffe H. (1964): Piezoelectric and piezomagnetic materials and their function in transducers. - Physical Acoustics (ed. W.P. Mason), pp.169-270, Academic Press, New York.
• Cady W.G. (1946): Piezoelectricity. - New York: Mc Graw-Hill.
• Chen W.Q. (2000): On piezoelastic contact problem for a smooth punch. - Int. J. of Solids and Structures, vol.37, pp.2331-2340.
• Ding H.J., Chen B. and Liang J. (1996): General solutions for coupled equations for piezoelectric media. - Int. J. of Solids and Structures, vol.33, pp.2283-2298.
• Ding H.J., Hou P.F. and Guo F.L. (1999): Elastic and electric fields for elliptical contact for transversely isotropic piezoelectric bodes. - J. Appl. Mech., vol.66, pp.560-562.
• Dyka E. and Rogowski B. (2005): On the contact problem for a smooth punch in piezoelectroelasticity. - J. Theoretical and Applied Mechanics, vol.43, pp.745-761.
• Erdelyi A. editor. (1954): Tables of Integral Transforms. - I. McGraw-Hill.
• Fabrikant V.I. (1989): Application of Potential Theory in Mechanics. A Selection of New Results. - The Netherlands: Kluwer Academic Publishers.
• Fan H., Sze K.Y. and Yang W. (1996): Two-dimensional contact on a piezoelectric half-space. - Int. J. of Solids and Structures, vol.33, pp.1305-1315.
• Giannakopoulos A.E. and Suresh S. (1999): Theory of indentation of piezoelectric materials. - Acta Materialia, vol.47, No.7, pp.2153-2164.
• Hou P.F., Yeung A.Y.T. and Ding H.J. (2003): The elliptical Hertzain contact of transversely isotropic magnetoelectroelastic bodies. - Int. J. of Solids and Structures, vol.40, pp.2833-2850.
• Matysiak S. (1985): Axisymmetric problem of punch pressing into a piezoelectric half-space. - Bull. Pol. Acad. S.C., Ser. Tech., vol.33, No.1-2, pp.25-34.
• Nowacki W. (1978): Some general theorems of thermo-piezoelectricity. - J. Therm. Stresses, vol.1, pp.171-82.
• Nowacki W. (1979): Foundations of linear piezoelectricity. In: Parkus H, editor. Electromagnetic interaction in elastic solids. - Wien: Springer [Chapter I].
• Nowacki W. (1983): Mathematical models of phenomenological piezoelectricity. New problems in mechanics continua. - Waterloo, Ontario: University of Waterloo Press, pp.29-49.
• Park S.B. and Sun C.T. (1995): Fracture criteria for piezoelectric ceramics. - J. Am. Ceram. Soc., vol.78, pp.1475-1480.
• Parton V.Z. and Kudryatvsev B.A. (1988): Electromagnetoelasticity. - New York: Gordon and Breach.
• Rao S.S. and Sunar P.L. (1994): Piezoelectricity and its use in disturbance sensing and control of flexible structures: a survey. - Appl. Mech. Rev., vol.47, pp.113-123.
• Sneddon I.N. (1972): The Use of Integral Transforms. - New York: McGraw-Hill.
• Tiersten H.F. (1969): Linear Piezoelectric Plate Vibrations. - New York: Plenum Press.