Propagation and reflection of one-dimensional waves in ferroelectric ceramics
Authors:
M. F. McCarthy, T. B. Moodie, T. S. Öncü and R. P. Sawatzky
Journal:
Quart. Appl. Math. 51 (1993), 217-240
MSC:
Primary 73R05; Secondary 73D15, 78A40
DOI:
https://doi.org/10.1090/qam/1218365
MathSciNet review:
MR1218365
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Abstract: Employing a linearized version of the general constitutive equations for a homogeneous deformable dielectric material body with memory, we study problems of wave propagation and reflection. We formulate these problems so as to correspond to certain well-defined experiments appearing in the literature and involving the application of time-dependent mechanical loads or prescribed voltage differences. Employing asymptotic procedures based upon geometrical optics we are able to solve problems of reflection hitherto unsolved, produce numerical results in an efficient manner, and elicit some important implications of the theory that appear not to have been noted before.
P. C. Lysne, Dielectric breakdown of shock-loaded PZT 65/35, J. Appl. Phys. 44, 577–582 (1973)
P. C. Lysne and L. C. Bantel, Electromechanical response of PZT 65/35 subjected to axial shock loading, J. Appl. Phys. 46, 222–229 (1975)
P. J. Chen and M. F. McCarthy, One-dimensional shock waves in elastic dielectrics, Instituto Lombardo di Scienze, Rendiconti 107, 715–727 (1973)
D. E. Amos and P. J. Chen, One dimensional linear dynamic electromechanical responses of ferroelectric ceramics, J. Appl. Mech. 45, 749–754 (1978)
- Peter J. Chen and Matthew F. McCarthy, The electrical responses of a dynamically loaded deformable dielectric material with memory, Arch. Rational Mech. Anal. 62 (1976), no. 4, 353–366. MR 416265, DOI https://doi.org/10.1007/BF00248270
D. E. Amos and P. J. Chen, Linear electromechanical responses of ferroelectric ceramics with inductive-resistive external load, Internat. J. Solids and Structures 15, 319–323 (1979)
- M. F. McCarthy, T. B. Moodie, and R. P. Sawatzky, On the propagation of transients through thermoviscoelastic media, Quart. Appl. Math. 46 (1988), no. 3, 539–557. MR 963589, DOI https://doi.org/10.1090/S0033-569X-1988-0963589-X
- T. S. Öncü and T. B. Moodie, Boundary-initiated wave phenomena in thermoelastic materials, Quart. Appl. Math. 48 (1990), no. 2, 295–320. MR 1052138, DOI https://doi.org/10.1090/qam/1052138
H. J. Sutherland and P. J. Chen, Determination of the mechanical properties of PZT 65/36 using acoustic technique, Acta Mech. 30, 293–298 (1978)
P. C. Lysne, Dielectric breakdown of shock-loaded PZT 65/35, J. Appl. Phys. 44, 577–582 (1973)
P. C. Lysne and L. C. Bantel, Electromechanical response of PZT 65/35 subjected to axial shock loading, J. Appl. Phys. 46, 222–229 (1975)
P. J. Chen and M. F. McCarthy, One-dimensional shock waves in elastic dielectrics, Instituto Lombardo di Scienze, Rendiconti 107, 715–727 (1973)
D. E. Amos and P. J. Chen, One dimensional linear dynamic electromechanical responses of ferroelectric ceramics, J. Appl. Mech. 45, 749–754 (1978)
P. J. Chen, M. F. McCarthy, and T. R. O’leary, One-dimensional shock and acceleration waves in deformable dielectric materials with memory, Arch. Rational Mech. Anal. 62, 189–207 (1976)
D. E. Amos and P. J. Chen, Linear electromechanical responses of ferroelectric ceramics with inductive-resistive external load, Internat. J. Solids and Structures 15, 319–323 (1979)
M. F. McCarthy, T. B. Moodie, and R. P. Sawatzky, On the propagation of transients through thermoviscoelastic media, Quart. Appl. Math. 46, 539–557 (1988)
T. S. Öncü and T. B. Moodie, Boundary-initiated wave phenomena in thermoelastic materials, Quart. Appl. Math. 48, 295–320 (1990)
H. J. Sutherland and P. J. Chen, Determination of the mechanical properties of PZT 65/36 using acoustic technique, Acta Mech. 30, 293–298 (1978)
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Article copyright:
© Copyright 1993
American Mathematical Society