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Effective Lengths of Tensile and Torsional Specimens of Piezoelectric Materials

Published online by Cambridge University Press:  05 May 2011

J.-Q. Tarn  and
H.-H. Chang
J.-Q. Tarn*
Affiliation:
Department of Civil Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
H.-H. Chang*
Affiliation:
Department of Civil Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
*
*Professor
**Ph.D. student
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Abstract

The effective length of a piezoelectric cylindrical specimen in strain measurements is determined by considering the stress decay in a cylindrically anisotropic, circular cylinders of piezoelectric materials subjected to 2D surface tractions and prescribed end loads. On the basis of the state space formalism, the problem is studied by means of matrix algebra. The significance of the end effects is evaluated through a characteristic decay length. The study enables us to assess Saint-Venant's principle as applied to piezoelectricity in general and to determine the effective lengths of tensile and torsional specimens of piezoelectric materials in particular.

Keywords

Circular cylinderPiezoelectric materialsCylindrical anisotropySaint-Venant's principleEffective lengthEnd effects.
Type
Articles
Information
Journal of Mechanics , Volume 22 , Issue 1 , March 2006 , pp. 27 - 34
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2006

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References

REFERENCES

1.Lekhnitskii, S. G., Theory of Elasticity of an Anisotropic Body, Mir, Moscow (1981).Google Scholar
2.Horgan, C. O., “Recent Developments Concerning Saint-Venant's Principle: An Update,” Appl. Mech. Rev., 42, pp. 295–303 (1989).CrossRefGoogle Scholar
3.Horgan, C. O., “Recent Developments Concerning Saint-Venant's Principle: A Second Update,” Appl. Mech. Rev., 49, pp. S101–S111 (1996).CrossRefGoogle Scholar
4.Tarn, J. Q. and Huang, L. J., “Saint-Venant End Effects in Multilayered Piezoelectric Laminates”, Int. J. Solids Struct., 39, pp. 4979–4998 (2002).CrossRefGoogle Scholar
5.Tarn, J. Q. and Wang, Y. M., “Heat Conduction in a Cylindrically Anisotropie Tube of a Functionally Graded Material,” Chinese J. Mech., 19, pp. 365–372 (2003).Google Scholar
6.Tarn, J. Q., Wang, Y. M., “End Effects of Heat Conduction in Circular Cylinders of Functionally Graded Materials and Laminated Composites,” Int. J. Heat Mass Transfer, 47, pp. 5741–5747 (2004).CrossRefGoogle Scholar
7.Tarn, J. Q., “A State Space Formalism for Anisotropie Elasticity, Part I: Rectilinear Anisotropy,” Int. J. Solids Struct., 39, pp. 5143–5155 (2002).CrossRefGoogle Scholar
8.Tarn, J. Q., “A State Space Formalism for Anisotropie Elasticity, Part II: Cylindrical Anisotropy,” Int. J. Solids Struct., 39, pp. 5157–5172 (2002).CrossRefGoogle Scholar
9.Tarn, J. Q., “A State Space Formalism for Piezothermoelasticity,” Int. J. Solids Struct., 39, pp. 5173–5184 (2002).CrossRefGoogle Scholar
10.Tarn, J. Q., “Exact Solutions for Functionally Graded Anisotropie Cylinders Subjected to Thermal and Mechanical Loads,” Int. J. Solids Struct., 38, pp. 8189–8206 (2001).CrossRefGoogle Scholar
11.Tarn, J. Q., “Exact Solutions for Electroelastic Analysis of Generalized Plane Strain and Torsion of Piezoelectric Cylinders,” Chinese J. Mech., 17, pp. 149–158 (2001).Google Scholar
12.Tarn, J. Q. and Wang, Y. M., “Laminated Composite Tubes under Extension, Torsion, Bending, Shearing and Pressuring: A State Space Approach,“Int. J. Solids Struct., 38, pp. 9053–9075 (2001).CrossRefGoogle Scholar
13.Tarn, J. Q., “Exact Solutions of a Piezoelectric Circular Tube or Bar under Extension, Torsion, Pressuring, Shearing, Uniform Electric Loadings and Temperature Change,” Proc. R. Soc. Lond. A458, pp. 2349–2367 (2002).CrossRefGoogle Scholar
14.Nye, J. F., Physical Properties of Crystals, Oxford University Press, Oxford (1957).Google Scholar
15.Pease, M. C., Methods of Matrix Algebra, Academic Press, New York (1965).Google Scholar
16.Courant, R. and Hilbert, D., Methods of Mathematical Physics, Volume I, Interscience, New York (1953).Google Scholar
17.Hildebrand, F. B., Advanced Calculus for Applications, 2nd edition, Prentice-Hall, Englewood Cliffs (1976).Google Scholar
18.Tarn, J. Q., “Stress Singularity in an Elastic Cylinder of Cylindrically Anisotropie Materials,” J. Elasticity, 69, pp. 1–13 (2003).CrossRefGoogle Scholar