Finite element method in problems of thermoelectroviscoelasticity

I. A. Birger, “Several general methods of solving problems of plasticity theory,” Prikl. Mat. Mekh.,15, No. 6, 765–770 (1951).Google Scholar

A. M. Bolkisev, “Temperature effects on dissipative properties of piezoceramics of type TsTS_TBS,” in: Nonclassical Problem of Mechanics of a Deformed Body, Proc. young scientist seminar, Inst. Mekh. Akad. Nauk Ukr. SSR, Kiev (1985), pp. 16–18.Google Scholar

O. C. Zienkiewicz, Finite Element Method in Engineering Science, McGraw-Hill (1971).Google Scholar

V. G. Karnaukhov, Coupled Problems of Thermoviscoelasticity [in Russian], Naukova Dumka, Kiev (1982).Google Scholar

V. G. Karnaukhov and I. F. Kirichok, Electrothermoviscoelasticity [in Russian], Naukova Dumka, Kiev (1988).Google Scholar

V. G. Karnaukhov and V. I. Kozlov, “Finite element method of solving problems of thermoelectroviscoelasticity for bodies of revolution with harmonic loading,” Prikl. Mekh.,22, No. 7, 9–17 (1986).Google Scholar

V. G. Karnaukhov, I. K. Senchenkov, and B. P. Gumenyuk, Thermomechanical Behavior of Viscoelastic Bodies with Harmonic Loading [in Russian], Naukova Dumka, Kiev (1985).Google Scholar

V. I. Kozlov and V. V. Mikhailenko, “Dissipative heating of a viscoelastic piezoceramic mildly sloped cylinder of finite length with a harmonic electric excitations,” Prikl. Mekh.,24, No. 7, 37–43 (1988).Google Scholar

I. K. Senchenkov, V. G. Karnaukhov, V. I. Kozlov, and O. P. Chervinko, “Calculation of stationary oscillations and dissipative heating of nonlinear viscolelastic bodies with periodic loading,” Prikl. Mekh.,24, No. 6, 49–55 (1986).Google Scholar

I. K. Senchenkov, V. G. Karnaukhov, and O. P. Chervinko “The energy absorption coefficient for cyclically deformed viscoelastic materials and construction elements,” Prikl. Mekh.,24, No. 9, 80–89 (1988).Google Scholar

E. Spencer, Theory of Invariants [Russian translation], Mir, Moscow (1974).Google Scholar

A. F. Ulitko, “Theory of oscillations of piezoceramic bodies,” Teplovye Napryazheniya Elementakh Konstruktsii, No. 15, 90–98 (1975).Google Scholar

A. F. Ulitko, “Theory of electromechanical energy transformation in nonuniformly deformed piezoceramic bodies,” Prikl. Mekh.,13, No. 10, 115–123 (1977).Google Scholar

D. Boucher, M. Lagier, and C. Maerfield, “Computation of the vibrational modes for piezoelectric transducers using a mixed finite element perturbation method,” IEEE Trans. Sonics and Ultrasonics,28, No. 5, 318–330 (1981).Google Scholar

D. S. Drumheller and A. Kalnins, “Dynamic shell theory for ferroelectric ceramics,” J. Acoust. Soc. Am.,47, No. 5, 1343–1353 (1970).Google Scholar