On a nonconventional thermodynamical model of a defective piezoelectric crystal

• Autorzy: Giambo S. , Maruszewski B. , Restuccia L.
• Języki publikacji: EN

Abstrakty

EN

The paper deals with an extended thermodynamical description of a defective piezoelectric crystal. Introducing a dislocation core tensor as an internal variable, the body is regarded as homogeneous and isotropic. Liu's theorem is applied to analyze the entropy inequality. The general constitutive relations for the state laws are derived, including all the possible linear and higher order simple and cross-effects which occur in the crystal when thermal, electric, elastic and dislocation fields interact with each other.

Słowa kluczowe

EN

thermodynamics; piezoelectricity; dislocation structure; entropy; defective piezoelectric crystal; nonconventional thermodynamical model

PL

termodynamika; piezoelektryczność; struktura dyslokacyjna; entropia; model termodynamiczny niekonwencjonalny

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Journal of Technical Physics
• Rocznik: 2002
• Tom: Vol. 43, no 2
• Strony: 155--163
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Giambo S.

• University of Messina, Department of Mathematics, Contrada Papardo, Salita Sperone 31, 98166 Sant’Agata, Messina, Italy

autor

Maruszewski B.

• Poznań University of Technology, Institute of Applied Mechanics, ul. Piotrowo 3, 60-965 Poznań, Poland

autor

Restuccia L.

• University of Messina, Department of Mathematics, Contrada Papardo, Salita Sperone 31, 98166 Sant’Agata, Messina, Italy

Bibliografia

• 1. W.P. Mason, Piezoelectric crystals and their application to ultrasonics, D. Van Nostrand Company, 1950.
• 2. D.A. Berlincourt, Piezoelectric ceramics: characteristics and applications, J. Acoust. Soc. America, 70, 1506, 1981.
• 3. D.A. Berlincourt, D.R. Curran and H. Jaffe, Piezoelectrics and piezomagnetic materials and their functions as transducers, [in:] Physical Acoustics, W.P. Mason [Ed.], vol. IA, pp. 170- 267, Academic Press, New York 1964.
• 4. G.A. Maugin, Continuum mechanics of electromagnetic solids, North-Holland, Amsterdam 1988.
• 5. D. Hull, Introduction to dislocation, Pergamon Press, London Oxford 1975.
• 6. F.R.N. Nabarro, Theory of crystal dislocations, Clarendon Press, Oxford 1967.
• 7. E. Kröner, Defects as internal variables, lecture notes for course internal variables in thermodynamics and continuum mechanics, C. I. S. M., July 11 to 15, Udine 1988.
• 8. B. Maruszewski, On a dislocation core tensor, Phys. Stat. Sol.(b), 59, 168, 1991.
• 9. I-Shih Liu, The method of Lagrange multipliers for exploitation of the entropy principle, Arch. Rat. Mech. Anal., 46, 131-148, 1972.
• 10. G.F. Smith, On isotropic functions of symmetric tensors, skew-symmetric tensors and vectors, Int. J. Engng. Sci., 9, 899-916, 1971.
• 11. B. Maruszewski, Evolution equations of thermodiffusion in paramagnets, Int. J. Engng. Sci., 26, 1217-1230, 1988.