陶瓷中的电-机械波——数值模拟

G. A. 莫金; B. 库利特; J. 波格特

陶瓷中的电-机械波——数值模拟

法国国家科学研究中心机械理论协会实验室, 皮埃尔-玛莉·居里大学

计量
- 文章访问数: 1840
- HTML全文浏览量: 140
- PDF下载量: 475
- 被引次数: 0
出版历程
- 收稿日期: 1985-04-07
- 刊出日期: 1985-12-15

Electromechanical Waves in Ceramics——Numerical Simulation

Laboratoire de Mécanique Théorique Associé au C. N. R. S., Université Pierre-et-Marie Curie, Paris, France

摘要

摘要: 用一维模型,数值模拟了可形变陶瓷中线性和非线性波的传布.给出了试件内应力(或应变)和电场之间的响应,以及它们和电压之间的响应.并在不同荷载下,图示了电-机械波的传布特征.发现在线性区域,电压响应与实验符合很好,非线性区域,电-机械波变陡,出现所谓激波现象.

Abstract: A simple one-dimensional model is used to simulate numerically the propagation of linear and nonlinear waves in a deformable ceramic. The nummrical scheme used provides the response in stress or strain and electric field within the sample and the voltage at a resistive external circuit connecting the two faces of the sample. Space-time diagrams of the propagation are obtained for various mechanical loads. The voltage response obtained agrees well with experimental results in the linear regime. In the nonlinear one, the steepening of the electromechanical wave yielding a shock wave is exhibited.

HTML全文

参考文献(18)

[1]	Maugin,G.A.(Editor),The Mechanical Behavior of Electromagnetic Solid Continua(Proceedings IUTAM-IUPAP Symposium,Paris,July 1983) North-Holland,Amsterdam(1984).
[2]	Holland,R.and E.P.Eernisse,Design of Resonant Piezoelectric Devices,M.I.T.Press,Cambridge,Mass(1969).
[3]	Lysne,P.C.and L.C.Bartel,Electromechanical response of PZT 65/35 subjected to axial shock loading,J.Applied Physics,46(1975),222-229.
[4]	Lysne,P.C.and C.M.Percival,Electric energy generation by shock compression of ferroelectric ceramics,J.Applied Physics,46(1975),1519-1525.
[5]	Murri,W.J.,D.R.Curran,C.F.Peterson and R.C.Crewdon,in Adv.High.Press.Res.,Vol.4,Academic Press.New York(1974),1-163.
[6]	Chen,P.J.,Growth and decay of waves in solids,in Handbuch der Physik,Bd.Ⅶ-3,ed.C.A.Truesdell,Springer-Verlag,Berlin(1973),303-402.
[7]	McCarthy,M.F.,Singular surfaces and waves,in Continuum Physics,ed.A.C.Eringen,Vol.Ⅱ,Academic Press,New York(1975),450-521.
[8]	Brun,L.,Finite shock waves in elastic solids,in Mechanical Waves in Solids,eds.J.Mandel and L.Brun,Springer-Verlag,Wien(1975),63-155.(in French).
[9]	Maugin,G.A.,Nonlinear Electrorcechanical Interactions and Applications-A Series of Lectures,World Scientific Publ.Singapore(in the press,1985).
[10]	Collet,B.,Shock waves in deformable piezoelectric materials,in Proc.11th Intern.Congress of Acoustics(Paris,July 1983),Special Issue of Revue d'Acoustique,Vol.2(1983),125-128.
[11]	Collet,B.,On the behavior of plane shock waves in deformable dielectric materials,Int.J Engng.Sci.,21(1983),1145-1155,.
[12]	Sidoroff F.,Internal variables in viscoelasticity and plasticity,Doctoral Thesis in Mathematics,University of Paris Ⅵ(mimeographed,1976).
[13]	Maugin,G.A.,Electromagnetic internal variables in electromagnetic continua.Archives of Mechanics,33(1981),927-935.
[14]	Collet,B.,Shock waves in deformable ferroelectric materials,in The Mechanical Behavior of Electromagnetic Solid Continua,ed.G.A.Maugin,North-Holland,Amsterdam (1984),157-163.
[15]	Collet,B.,Nonlinear wave propagation in elastic dielectrics with internal varlables,J.Technical Physics (Warsaw,Poland)
[16]	Peyret,R.,Numerical Solution of Hyperbolic Systems:Application to Gas Dynamics,Publication of the Office National d'Etude et de Recherche Aérospatiale Paris (1977).
[17]	Nayfen,A.H.and D.T.Mook,Nonlinear Oscillations,J.Wiley-Interscience,New York (1979).
[18]	Pouget,J.and G.A.Maugin,Solitons and electroacoustic interactions in ferroelectric crystals-I:Single solitons and domain walls,Physical Review,B30(1984),5306-5325．