An Elliptical Crack in a Thermopiezoelectric Solid under Uniform Temperature Gradient: Analytical Development

Abstract:

An elliptical crack subjected to uniform temperature gradient in an infinite thermopiezoelectric solid is investigated in this work. Theoretical attempt has been made to find the temperature and piezoelectric fields at first by using a potential function formulation. The field intensity factors due to the thermal disturbance are obtained, as well as the local fields of the stresses and electric displacements near the crack front.

• Periodical: Key Engineering Materials (Volumes 261-263)
• Pages: 63-68
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.261-263.63
• Online since: April 2004
• Authors: F. Shang, Meinhard Kuna, Takayuki Kitamura
• Keywords: Analytical Solution, Elliptical Crack, Finite Element Model (FEM), Temperature Gradient, Thermopiezoelectricity

References

[1] A.E. Green and I.N. Sneddon, Proc. Cambridge Philosophical Society, 46 (1950) p.159.

[2] S.W. Yu and Q.H. Qin, Theor. Appl. Fract. Mech. 25 (1996) p.263.

[3] Q.H. Qin and Y.W. Mai, Int. J. Solids Struct. 36 (1999) p.2463.

[4] Q.H. Qin, Theor. Appl. Fract. Mech. 32 (1999) p.129.

[5] F. Shang, M. Kuna and M. Scherzer, Int. J. Fracture, 117 (2002) p.113.

[6] F. Shang, T. Kitamura and M. Kuna, Theor. Appl. Fract. Mech. 40 (2003) p.247.

[7] E.T. Whittaker and G.N. Watson: Modern Analysis, Cambridge University Press, London (1962).

[8] M.K. Kassir and G.C. Sih, ASME J. Appl. Mech., 33 (1966) p.601.

[9] F. Shang, M. Kuna and M. Abendroth, Eng. Fract. Mech., 70 (2003) p.143.

[10] F. Shang, M. Kuna and M. Scherzer, ASME J. Eng. Mat. Tech., 125 (2003) p.18.

[11] S. Shen and T. Nishioka, Theor. Appl. Fract. Mech. 33 (2000) p.57.

[12] J.Z. Zuo and G.C. Sih, Theor. Appl. Fract. Mech. 34 (2000) p.17.