Roscow, James

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        Citation for published version:Roscow, J 2015, 'Modelling Porous Ferroelectrics to Assess Piezoelectric Energy Harvesting Capabilities' 13thEuropean Meeting on Ferroelectricity, Porto, Portugal, 29/06/15 - 3/07/15, .Publication date:2015Document VersionPublisher's PDF, also known as Version of recordLink to publicationUniversity of BathGeneral rightsCopyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright ownersand it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.Take down policyIf you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediatelyand investigate your claim.Download date: 13. May. 20190	  200	  400	  600	  800	  1000	  1200	  1400	  1600	  1800	  10	   20	   30	   40	   50	   60	   70	   80	   90	   100	  Rela%ve	  permi,vity	  Rela%ve	  density	  (%)	  Modelled	  Experimental	  0	  500	  1000	  1500	  2000	  2500	  3000	  10	   20	   30	   40	   50	   60	   70	   80	   90	   100	  FOM33	  (x10-­‐15 m2 /N)	  Rela%ve	  density	  (%)	  Modelled	  Experimental	  !Modelling	  Porous	  Ferroelectrics	  to	  Assess	  Piezoelectric	  Energy	  HarvesEng	  CapabiliEes	  J.	  I.	  Roscow,	  R.	  W.	  C.	  Lewis	  and	  C.	  R.	  Bowen.	  Email:	  j.i.Roscow@bath.ac.uk	  Aim:	  To	  evaluate	  the	  eﬀect	  of	  porosity	  and	  porous	  structure	  on	  the	  energy	  harvesEng	  capabiliEes	  of	  ferroelectric	  ceramics	  using	  a	  Finite	  Element	  Modelling	  approach.	  	  Generate	  network	  model	  geometry	  Determine	  random	  two	  phase	  distribuEon	  (unpoled	  BaTiO3	  and	  air)	  for	  given	  volume	  fracEon	  of	  porosity	  Apply	  poling	  voltage	  to	  ‘electroded’	  surfaces	  Establish	  distribuEon	  of	  polarised	  material	  Characterise	  porous	  piezoceramic	  performance	  in	  terms	  of	  d33,	  ε33T	  and	  energy	  harvesEng	  FOM	  Record	  results	  Clear	  model	  FE	  Modelling	  Process	  Fig.	   2:	   Flow	   diagram	   of	   modelling	   process	   used	   to	   generate	  randomly	  distributed	  porosity	  with	  piezoelectric	   ceramic	   (adapted	  from	  [2])	  Pre-­‐	  and	  Post-­‐Poling	  Porous	  BaTiO3	  network	  Fig.	  1:	  (a)	  303	  cells	  randomly	  designated	  material	  properEes	  of	  either	  unpoled	  BaTiO3	   (blue)	   or	   air	   (empty),	   depending	  of	   density	   deﬁned	  for	  run	  and	  (b)	  post-­‐poling	  procedure	  with	  poled	   (red)	  and	  unpoled	  BaTiO3	  (blue)	  and	  air	  (empty).	  BaTiO3	  elements	  are	  poled	  when	  local	  E-­‐ﬁeld	  exceeds	  coercive	  ﬁeld.	  Ini%al	  Results	  Fig.	  3:	  FE	  model	  data	  (blue)	  compared	  to	  experimental	  data	  BaTiO3	  (red)	  for	  (a)	  d33,	  (b)	  relaEve	  permidvity	  and	  (c)	  FOM33,	  all	  ploeed	  as	  a	  funcEon	   of	   relaEve	   density.	   Experimental	   data	  measured	   from	   BaTiO3	   ceramics	  with	   range	   of	   porosiEes	   obtained	   using	   the	   burned	   out	  polymer	  spheres	  (BURPS)	  process.	  Discussion	  &	  Outlook	  •  Want	  to	  bring	  model	  and	  experimental	  data	  closer	  together	  •  More	  accurate	  input	  data	  required	  •  Use	  model	  to	  invesEgate	  EH	  capabiliEes	  of	  diﬀerent	  structures/connecEviEes	  •  Currently,	  only	  randomly	  distributed	  porosity	  (3-­‐0/3-­‐3)	  generated	  •  Structure	  has	  eﬀect	  on	  key	  properEes,	  i.e.	  d33,	  ε33	  and	  SE33	  	  (elasEc	  compliance)	  Acknowledgement	  The	   research	   leading	   to	   these	   results	   has	   received	   funding	   from	   the	  European	   Research	   Council	   under	   the	   European	   Union's	   Seventh	  Framework	   Programme	   (FP/2007-­‐2013)	   /	   ERC	   Grant	   Agreement	   no.	  320963	  on	  Novel	  Energy	  Materials,	  Engineering	  Science	  and	  Integrated	  Systems	  (NEMESIS).	  References	  [1]	  Islam,	  R.	  A.,	  &	  Priya,	  S.	  J.	  Am.	  Ceram.	  Soc.,	  2006,	  89,	  3147–3156.	  [2]	  Lewis,	  R.	  W.	  C.,	  Dent,	  A.	  C.	  E.,	  Stevens,	  R.,	  &	  Bowen,	  C.	  R.	  (2011).	  Smart	  Mater.	  and	  Struct.,	  2011,	  20,	  085002.	  Context	  Porous	   piezoelectric	   ceramics	   are	   of	   interest	   for	   energy	  harvesEng	   applicaEons	   due	   to	   porosity	   causing	   signiﬁcant	  reducEons	   in	   permidvity,	   ε33,	   compared	   with	   relaEvely	  small	   reducEons	   in	   longitudinal	   strain	   coeﬃcient,	   d33,	  leading	   to	   increases	   in	   energy	  harvesEng	  ﬁgures	  of	  merit,	  where	   FOM33	   =	   d332/ε33	   [1].	   The	   development	   of	   an	   FE	  Model	   will	   allow	   diﬀerent	   porous	   structures	   to	   be	  evaluated	  for	  their	  energy	  harvesEng	  capabiliEes.	  (a)	   (b)	   (c)	  (a)	  (b)	  0	  20	  40	  60	  80	  100	  120	  140	  160	  10	   20	   30	   40	   50	   60	   70	   80	   90	   100	  d 33	  (pC/N)	  Rela%ve	  density	  (%)	  Modelled	  Experimental	  

Modelling Porous Ferroelectrics to Assess Piezoelectric Energy Harvesting Capabilities

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Modelling Porous Ferroelectrics to Assess Piezoelectric Energy Harvesting Capabilities

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