Acta Mechanica Solida Sinica

, Volume 23, Issue 5, pp 407–419 | Cite as

Decay Rate of Saint-Venant end Effects for Plane Deformations oF Piezoelectric-Piezomagnetic Sandwich Structures

  • Yan Xue
  • Jinxi LiuEmail author


This paper is concerned with the decay of Saint-Venant end effects for plane deformations of piezoelectric (PE)-piezomagnetic (PM) sandwich structures, where a PM layer is located between two PE layers with the same material properties or reversely. The end of the sandwich structure is subjected to a set of self-equilibrated magneto-electro-elastic loads. The upper and lower surfaces of the sandwich structure are mechanically free, electrically open or shorted as well as magnetically open or shorted. Firstly the constitutive equations of PE materials and PM materials for plane strain are given and normalized. Secondly, the simplified state space approach is employed to arrange the constitutive equations into differential equations in a matrix form. Finally, by using the transfer matrix method, the characteristic equations for eigenvalues or decay rates are derived. Based on the obtained characteristic equations, the decay rates for the PE-PM-PE and PM-PE-PM sandwich structures are calculated. The influences of the electromagnetic boundary conditions, material properties of PE layers and volume fraction on the decay rates are discussed in detail.

Key words

Saint-Venant’s principle decay rate end effect piezoelectric material piezomagnetic material sandwich structure plane deformation 


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2010

Authors and Affiliations

  1. 1.Institutes of Engineering MechanicsBeijing Jiaotong UniversityBeijingChina
  2. 2.Department of Engineering MechanicsShijiazhuang Tiedao UniversityShijiazhuangChina

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