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260                                                         Chapter 4
         end at a distance h.  Known are the cross-sectional dimensions w and t, and
         the magnetization m of the magnet.


         Answer:







         Problem 4.12
             A thin  sheet is  constructed of piezoelectric  material of cross-sectional
         dimensions w and t,  and dielectric  constant  The  piece is polarized over
         its thickness  direction  3  and  is subject  to bending  moments M  that are
         applied at  its ends.  A  total strain   is measured on  one  of the  sides of the
         piezoelectric sheet. Calculate the corresponding voltage that is generated.

         Answer:




         Problem 4.13
             Find  the  bloc  force  that  has to  be applied to a  piezomagnetic  bloc of
          cross-sectional  area A  and Young’s  modulus E.  The  piece is magnetized
          about its height direction by means of a magnetic field H. Also determine the
          coupling coefficient.  Known are  the magnetic  charge  constant  the
          magnetic permeability  and  the  magnetic  compliance

          Answer:






          Problem 4.14
             A clamped square membrane constructed of SMA with side l and
          thickness t is deformed while in martensitic state by application of a uniform
          pressure p.  A  temperature variation,  which  brings the martensite  into
          austenite  phase, is  applied  subsequent to  removing the initial  pressure.
          Determine the  variation in  the  maximum  deflection. Known  are  Young’s
          modulii in martensitic and austenitic  states,  and  as  well as Poisson’s
          ratio   (Hint: use  Eq. (1.233)  with  the  first two  terms  of the  infinite  series
          expansion.)

          Answer:
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