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       47        that   and   (for   of   to   the   the               be                       P,
               Earth   their    under   direc-   volume   divided   ‘   change   to   is   of  the   the  Earth.   Material
       Waves   the   factors   222-230);   isotropic   properties   portion   that   pertains   material   describes   all   in   within   in   stress   volume   said   is   energy  wave   radiates  in   a)   Material   (Jonger  arrows).  The  bulk

       Elastic   through   many   are   pp.   1976.   considezed   physical   to  refers   thus  below   material.   of  a   strain   equal   is   that   material   for   change   the   is   the   is   (k)   no   material   Surface  confined  to  a  thin,  outer  shell  Earth.  Body  wave  energy  three  dimensions,  like  the  surface  of  a  balloon  expanding  through   Bulk  modulus.  of  volume  V  under  confining  pressure   arrows.  b)  compressed  to  volume  V'  as  pressur
              by  whether  they  travel   waves).  There   (see  Telford   al.,   et   be   can  material   same   the   has   Unbounded   analysis   homogeneous   a   the  “incompressibility”)   (or   Under  pressure   “lithostatic”   strain  (AP).  The   modulus   bulk   AP   AV/V   .   rey  ein   stress  applied   AP   by   caused   undergoes  material   (AP),  stress   the   3.4  FIGURE   3.5  FIGURE   shown  by  equal   increases  to  P’








              categorized   (surface  surface   waves   elastic   material   the   directions.   all   interfaces.  The   or   of  such  “body”   elastic  constant  describes   modulus   3.5).   water;  under   pressure   (V).  The   Stress   _       sain   Eaves   ees  the  under   volume   in   stress.  applied   a   if   that   compressive




              be   body   that   in   surfaces   the   bulk   material   in  change   volume   k   its   pressure   change   the   illustrates   to
              can   3.4)   Earth’s   of  is  simplified,  however,  if  the   means   rigidity)   free   through   An   The  stress.  resist  being  compressed.(Fig.   for   the   original   pi   Panna   =   V'   volume   under   equation   subjected
           Propagation   (Fig.   along   or   propagation   the   Isotropic   and  density   no   with   moving   Constants   of   type   (“hydrostatic”   is  stress   the   by   peop!   ot   5   :   es   x poicen  al   '  =  confining   —   V   AV =   It  original   V =   ul  volume   V’ =   above   when





           Wave   Seismic  waves   waves)   (body   influence   analysis   unbounded.   example,   material   the   vibrations   Elastic   certain   to   ability   tions   the  Earth),   divided   (AV)   strain:   the   by   where:   ‘   P’   The   0)   =   (AV

           Body                   a








                                                                :







           is   of   the   shows   of   parti-   flows   an   of  the   an   few   results  in            rates,  as
           stress   amount   others.   deforming   time   level   that   removed.   as   from   elastically   a   underlying   remain  connected   strain   (ductile)   of  overlying

           the   the   under   the   of   3.1¢   Fig.   certain   so   is   material   rupturing   behavior   results   only   at   the   Inelastic
           when   where   inelastic   of   length   rate).   a   to   fails,   stress   the   the   behaves   move   motion,   a)  During  ductile   particles   Brittle  deformation

           shape   3.1c).   orientation   the   2)   (strain   up   only   material   the   whereby   lithosphere   by   of  particles   plates   this   flow.  b)  the  development  of  fractures.   a)  Elastic  behavior  occurs  at  very  high   of  seismic  waves.  b)

           and   behavior   (Fig.   conditions,   and   Law)   the   when   ductile,   the   illustrated   movement   asthenosphere   with   fashion.   oe 3.2   formation   and
           volume   elastic   of  stress   some   and   shearing);   of  distortion   Hooke’s   limit   that   positions   be   or  breaking   is   rate)   rapid   the   Lithospheric   associated   (ductile)   the  passage


           original   describes   amount   under   magnitude   or  tension,   amount   (obeying   Beyond   original   may   limit   pencil   (that  is,  strain   very   rates   strain   waves.   rates   ;   in  very  slow  straining  of  the  asthenosphere;  viscous  flow  facilitates  the  movement


           its   Law   the   to   elastic   the   1)   certain   limit.   a   but   seismic   inelastic   b)  Brittle   Deformation
           to     be      elastic   their   elastic   like   time   Small   high   strain   an
       Waves   returns   Hooke’s   proportional   may   are:   compression,   a  achieve   be   elastic   to   the   brittle,   of   3.3).   very   transmit   slow   in   Elastic  and  inelastic  behavior  of the  asthenosphere.  by  an  earthquake;  the  vibrations  result

       Seismic   material   3.1b).   (Fig.   linearly   materials   factors   of  (amount   to   takes   may  material   the   as   return   not   beyond   or  putty,   3.2).   (Fig.   importance   (Fig.   these   at   to   able   very   the   deforms   325   i]   4s  s-=-=*”' -“Asthenosphere



       Chapter 3   the   that   removed   is   strain   Earth   important   Two   stress   material   a   that   known  stress,   do   cles   Deformation   silly   like   earthquake   The   asthenosphere   earthquake;   thus   is   and   at  cm/year;   asthenosphere   a) Ductile   -   Deformation   go   moe   oN.   x  emo



                                                                                                          FIGURE
       46                                                                                                 3.3   particles  are  vibrated   behavior  results  from   lithospheric  plates.
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