On Saint-Venant's problem for elastic dielectrics
Tóm tắt
The equilibrium theory of linear piezoelectricity is considered. Saint-Venant's problem for a homogeneous and anisotropic piezoelectric cylinder is studied.
Tài liệu tham khảo
A.J.C.B. de Saint-Venant, Mémoire sur la torsion des prismes,Mém. savants étrangers 14 (1856) 233–560.
A.J.C.B. de Saint-Venant, Mémoire sur la flexion des prismes,Journal de Mathématiques de Liouville, Ser. II, 1 (1856), 89–189.
D. Ieşan, On Saint-Venant's problem.Arch. Rational Mech. Anal. 91 (1986) 363–373.
R.D. Mindlin, On the equations of motion of piezoelectric crystals, SIAM, In: J.R.M. Radok (ed.),Problems of Continuum Mechanics. Philadelphia, Pennsylvania (1961) p. 282.
H.F. Tiersten,Linear Piezoelectric Plate Vibration, New York: Plenum Press (1969).
W. Nowacki, Mathematical models of phenomenological piezoelectricity. In: O. Brulin and R.K.T. Hsieh (eds),New Problems in Mechanics of Continua. Ontario; University of Waterloo Press (1983) p. 29.
G. Fichera, Existence theorems in elasticity. In: C. Truesdell (ed.), vol. VIa/2 of theHandbuch der Physik, Berlin, Heidelberg, New York; Springer (1972).