Advances in Continuum Mechanics and Thermodynamics of by Donald E. Carlson, Yi-Chao Chen

By Donald E. Carlson, Yi-Chao Chen

The papers incorporated during this quantity have been awarded on the Symposium on Advances within the Continuum Mechanics and Thermodynamics of fabric habit, held as a part of the 1999 Joint ASME utilized Mechanics and fabrics summer time convention at Virginia Tech on June 27-30, 1999. The Symposium used to be held in honor of Professor Roger L. Fosdick on his sixtieth birthday.
The papers are written by way of fashionable researchers within the fields of mechanics, thermodynamics, fabrics modeling, and utilized arithmetic. They handle open questions and current the most recent improvement in those and similar components. This quantity is a beneficial reference for researchers and graduate scholars in universities and learn laboratories.

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Extra info for Advances in Continuum Mechanics and Thermodynamics of Material Behavior: In Recognition of the 60th Birthday of Roger L. Fosdick

Example text

I ',,j' :'" Clamped - free Figure 3. Deformed shapes. for () = 0°. 30°, 45° and 90°, of the c1amped-clamped and the clamped-free plate subjec ted to equal and opposite charges on the top and bottom surfaces. and grounded and the other is mechanically and electrically free. There are no body force s and bod y charges. For this problem, equations (9) simplify to + S"vt(r), o/O(r ) + S" o/l(r) , v( r ,O = vo(r) o/(r ,O = w(r, O = wo(r ) + S"WI (r), (39) where r is the distance measured from the clamped edge of the plate .

145 (1907) 1409-1412. L. Ericksen, Plane infinitesimal waves in homogeneous elastic plates. J. Elasticity 3 (1973) 161-167. P. Podio-Guidugli, An exact derivation of the thin plate equations. J. Elasticity 22 (1989) 121133. V. Nicotra and P. Podio-Guidugli, Piezoelectric plates with changing thickness. J. Structural Control 5 (1998). L. Teresi and A. Tiero, On variational approaches to plate models. Meccanica 32 (1997) 143156. S. C. Batra, Mixed variational principles in nonlinear piezoelectricity.

ROD-LIKE BODY We study electromechanical deformations of a circular cylindrical rod subjected to onl y electric charges at the end faces . Thus, we set :Ba = $ - , :Bb = $+, :Ba = $ - , :Bp = $+, in 9' , 6=0, (=0, f3 = 0, q=O tp = 0, on oM U X =x , V=O, on :Bp , iiJ = 0, 1/1 = 0, e; X =0, (40) on oM , on $ -. That is, the end face $ - is rigidly clamped and kept at zero electric potential while the end face $ + is traction free and carries an electric charge. The mantle of the rod is free of surface tractions and surface charges.

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