On the singularities of the thermo-electro-elastic fields near the apex of a piezoelectric bonded wedge

Chen, Chung De

doi:10.1016/j.ijsolstr.2005.03.011

Cited by 31 publications

(5 citation statements)

References 32 publications

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“…PZT-4 and PZT-5H (Chen, 2006;Xiang and Shi, 2009) are chosen to be the constituent materials of the FGPM beam (Table 1). The beam's material composition varies from 100% PZT-4 at the top surface to 100% PZT-5H at the bottom surface.…”

Section: Numerical Resultsmentioning

confidence: 99%

Vibration Analysis and Transient Response of an FGPM Beam under Thermo-Electro-Mechanical Loads using Higher-Order Shear Deformation Theory

Doroushi

Eslami

Komeili

2011

Journal of Intelligent Material Systems and Structures

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This article presents the free and forced vibration characteristics of an FGPM beam under thermo-electro-mechanical loads using the higher-order shear deformation beam theory. The beam properties are assumed to vary through the thickness direction following the power law distribution in terms of the volume fractions of the constituent materials. The governing equations of motion are derived using Hamilton’s principle. The resulting system of differential equations of vibration is solved using the finite element method. The effects of boundary conditions, material composition, slenderness ratio, mechanical, thermal and electric loading, and transverse shear deformation on natural frequencies and transient response are investigated.

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Section: Numerical Resultsmentioning

confidence: 99%

Vibration Analysis and Transient Response of an FGPM Beam under Thermo-Electro-Mechanical Loads using Higher-Order Shear Deformation Theory

Doroushi

Eslami

Komeili

2011

Journal of Intelligent Material Systems and Structures

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“…As mentioned before, all the material properties except the piezoelectric coefficient g 31 are assumed as constants in the current work. The elastic, piezoelectric (except g 31 ), dielectric constants, thermal expansion and pyroelectric coefficients for the different layers of the sandwiched piezoelectric actuator are taken as those for the PZT -4 [ 28 , 31 ] in the numerical calculation, and the typical value of thermal conductivity is taken as

. All these material constants are listed in Table 1 .…”

Section: Resultsmentioning

confidence: 99%

Thermo-Electro-Mechanical Analysis of a Curved Functionally Graded Piezoelectric Actuator with Sandwich Structure

2011

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In this work, the problem of a curved functionally graded piezoelectric (FGP) actuator with sandwich structure under electrical and thermal loads is investigated. The middle layer in the sandwich structure is functionally graded with the piezoelectric coefficient g31 varying continuously along the radial direction of the curved actuator. Based on the theory of linear piezoelectricity, analytical solutions are obtained by using Airy stress function to examine the effects of material gradient and heat conduction on the performance of the curved actuator. It is found that the material gradient and thermal load have significant influence on the electroelastic fields and the mechanical response of the curved FGP actuator. Without the sacrifice of actuation deflection, smaller internal stresses are generated by using the sandwich actuator with functionally graded piezoelectric layer instead of the conventional bimorph actuator. This work is very helpful for the design and application of curved piezoelectric actuators under thermal environment.

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“…In these reports, the V-notch problems were extended to anisotropic materials and multi-material structures. Recently, this method has been used to solve the stress singularity in functional material structures, such as piezoelectric materials [6] and magnet-electro-elastic materials [7].…”

Section: Introductionmentioning

confidence: 99%

The Bending Singularity at the Apex of V-Notch in an Anisotropic Thick Plate

Chen¹

2017

KEM

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In this paper, the bending singularity at the apex of V-notch in an anisotropic thick plate is investigated. The Stroh-like formalism is used to model the anisotropy of the material. Based on the Ressiner-Mindlin plate theory and the eigenfunction expansion method, the characteristic equation for bending singularity order is derived and the order can be determined numerically. The numerical results show that the singularity orders strongly depend on the plate angle a. In addition, the singularity orders also depend on the principal orientation of the anisotropic material. The singularity orders for the case of are stronger than for that of. In the case of, to reduce the anisotropy is helpful to release the singularity at the notch tip. For the other case of, it is preferable to increase the anisotropy to reduce the singularity. The disappearance conditions of the bending singularity can be found based on the numerical results.

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On the singularities of the thermo-electro-elastic fields near the apex of a piezoelectric bonded wedge

Cited by 31 publications

References 32 publications

Vibration Analysis and Transient Response of an FGPM Beam under Thermo-Electro-Mechanical Loads using Higher-Order Shear Deformation Theory

Vibration Analysis and Transient Response of an FGPM Beam under Thermo-Electro-Mechanical Loads using Higher-Order Shear Deformation Theory

Thermo-Electro-Mechanical Analysis of a Curved Functionally Graded Piezoelectric Actuator with Sandwich Structure

The Bending Singularity at the Apex of V-Notch in an Anisotropic Thick Plate

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