?????

1
????? µe ?et??? ?e?µ??? s??te?est? a?t?stas???
e???t?s? PTC

• ????a ???????a ??????
• ?p?ß??p?? ?a????t?? ??ss?? ?.

2
? e???t?s? t?? a?t?stas?? e??? ??????ap? t?
?e?µ???as?a.

• ? e???t?s? positive temperature coefficient (PTC)
  e??a? ? e???t?s? t?? a?t?st???e? se ?et???
  ?e?µ??? s??te?est? a?t?stas?? a.
• ?e ???a ????a, pa?at??e?ta? a???s? t?? a?t?stas??
  t?? ?????? ?a??? a??????µe t? ?e?µ???as?a.

3

• ???a? ???st? ? s??s? t?? a?t?stas?? e??? a?????
  se s??s? µe ta ?e?µet???? t?? ?a?a?t???st???, t?
  f?s? t?? ?????? p?? a?t?? e??a? ?atas?e?asµ????
  ?a? t? ?e?µ???as?a
• R ?0(1a?)S/l.
• ? s??s? a?t? ?s??e? µ??? ??a µeta??????? a??????.
  ??t??µe?? e??a? ?a µe?et?s??µe t?? pe??pt?s?
  ?????? µe p??? µ???? a?t?stas?, s?ed?? µ?de????,
  se ?aµ???? ?e?µ???as?e?.

4
? e???t?s? PTC

• ??afe??µaste se µ?a se??? pe??aµ?t?? ?at? ta
  ?p??a µe?et?ta? ? e???t?s? ap? t? ?e?µ???as?a t??
  a?t?stas??, t?? d?µ?? ?a? t?? d?ast???? ???sµ????
  ??????.
• S??p?? e??a? ?a µe?et????? ?a? ?a ?atas?e?ast???
  ????? µe ?et??? ?e?µ??? s??te?est? a?t?stas??,
  d??ad? ????? t?? ?p???? ? ??e?t???? a?t?stas?
  a????eta? µe t?? a???s? t?? ?e?µ???as?a?.
• ??t??a ????? ????? p????? efa?µ???? st?? ße?t??s?
  t?? ?a??µe????t?ta?, ?p?? ?a? st? ßa???
  ß??µ??a??a.

5
S???pt??? pe????af? t?? pe??aµat???? µ??a??sµ??

• ?p??????µe ??a µ???t? ? (s?????? ??p???
  p???µe???) ?a? ??a µ?ta??? ?. ??a????µe t? ? st?
  ? (µ?t?a) ?at? t??p? t?t??? ?ste ?a ????µe µ?a
  ??a??p???t??? d?asp??? t?? s?µat?d??? t?? ? µ?sa
  se ??? t?? ???? t?? ? (µ??µa ?-?).
• S?µe??s? ?? µ???d?? ?a? ?? te?????? p??
  ???s?µ?p?????ta? ??a ?a ep?te???e? a?t? ?
  d?asp??? t?? ? µ?sa st? ? ??e?????ta? a??et?
  a??pt??? ?a? de ?a µa? apas????s??? sta p?a?s?a
  a?t?? t?? e??as?a?.

6

• ?a??? t? µ??µa ?-? ?e?µa??eta? ?µ???µ??fa
  pa?at??e?ta? d?ast??? ?a? ?at? s???pe?a a???s? ?
  µe??s? t?? ap?stas?? t?? a????µ?? tµ?µ?t?? t??
  (?). ?p?µ????, t? ????? ?-? ?a??stata? µ???t?? ?
  a????? ?at? pe??pt?s? ?a? ? ?e?µ???? s??te?est??
  t?? a?t?stas?? a pa???e? d?af??et???? t?µ??.

7
Te?µ??? d?ast???

• ?a??? t? µ??µa ?-? ?e?µa??eta?, ? µ???t?? ?
  d?ast???eta? µe ap?t??esµa t?? ap?µ?????s? t??
  µ????? t?? µet????? ? ?a? t?? ?atast??f? t??
  a????µ?? d??µ?? µ?sa st? ?????. ?p?µ????,
  a????eta? ? ??e?t???? a?t?stas? t?? ??????.
• ? d?ad??as?a a?t? µp??e? ?a ???e? ?a? a?t?st??fa
  ?????ta? t? ?????, ? µ???t?? ? s?st???eta? ?a?
  epa?????d?µ???ta? ?? a????µ?? d??µ??.

8

• Se ??a de?te?? ep?ped?, µe t?? a???s? t??
  ?e?µ???as?a? (?a? µet? t? st?d?? t?? d?ast????)
  ?atast??f??ta? ta ???sta????? µ??? t?? ? ?a? a?t?
  a????e? ?a ????e?. ?µ??a, t? ap?t??esµa e??a? ?a
  ap?µa??????ta? ta µ???a t?? ? µeta?? t??? ?a? ?a
  a????eta? ? a?t?stas? t?? ?-?.
• Se ???e pe??pt?s?, p??t??, ? ?e?µ???? s??te?est??
  a e?a?t?ta? ap? t? µetaß??? t?? µ????? t?? ??????
  (fa???µe?? d?ast????) ?a? t? µetaß??? t??
  ?e?µ???as?a?
• 
  a?L/???L0
• S?µe??s? ?e????µe µ???d??stat? ????? ?-?.

9
?a??de??µa ? d?ast??? d??f???? ?????? t?p?? ?-?
s??a?t?se? t?? ?e?µ???as?a?
10
??e?t???? a????µ?t?ta t?? ??????

• ? ??e?t???? a????µ?t?ta a?t?? t?? ?????? e?a?t?ta
  ap? t?? p?s?t?ta t?? µet????? ? p?? ß??s?eta?
  µ?sa st? µ??µa ?-?.
• ?s? µe?a??te?? e??a? ? a?a????a ????? (? µa???)
  ?/?, t?s? µe?a??te?? e??a? ?a? ? a????µ?t?ta t??
  µ??µat??.

11

• ?a d?? a?t? µe???? s??d???ta? µe µ?a e??et???
  s????t?s?
• ss0(f-fC)t
• ?p?? s ? a????µ?t?ta, s0 ? a????? a????µ?t?ta, f
  ? p?s?t?ta µet????? st? µ??µa ?-?, fC ? ???a??
  p?s?t?ta ? st? µ??µa ?ste a?t? ?a e??a? a????µ?
  ?a? t µ?a sta?e?? p?? e?a?t?ta? ap? ta ????? p??
  ???s?µ?p????µe.

12

• ??a? ????? t??p?? ?a pe????afe? t? pa?ap??? e??a?
  ? s??s?
• ?p?? sC ? ???a?? a????µ?t?ta p??? t? ?-? ???e?
  µ???t??, sm ? µ???st? a????µ?t?ta ?a? F ? µ???st?
  p?s?t?ta µet????? µ?sa st? µ??µa.

13
?a??de??µa ? ep?d?as? t?? pe??e?t???t?ta? se
µ?ta??? ? e??? ?????? t?p?? ?-? st? ?e?µ???
s??te?est? a?t?stas??
14
?a??de??µa ? e???t?s? t?? a?t?stas?? ???sµ????
?????? s??a?t?se? t?? ?e?µ???as?a?
15
4. ?fa?µ???? t?? e???t?s?? PTC

• ? a???s? t?? ?e?µ???as?a? s??ep??eta? ?a? a???s?
  t?? a?t?stas??.
• ?? s??d?s??µe t?? a?t?stas? se ??a ?????µa, t?te,
  µe t?? a???s? t?? ?e?µ???as?a?, a????e? ? ??tas?
  t?? ??e?t????? ?e?µat??, s?µf??a µe t? ??µ? t??
  Ohm IV/R.
• St? ?????µa µp????? ?a a??????? ? ?a ??e?s???
  d?a??pte?, ?a e?e???p??????? ??p??a st???e?a t??
  ? ?a ap?s??de???? ???a.
• ?a pa?ap??? µp????? ?a ???s?µ?p??????? st??
  ?atas?e?? a?s??t???? ?e?µ?t?ta? p?? µe t? se???
  t??? µp????? ?a ???s?µ?p??????? se s?st?µata
  p??asf??e?a?, a?t?µate? ?e?µ?st?e?, ???t??? ??p.

16
??ß?????af?a

• 1. PTC effect and structure of polymer
  composites based on polyethylene/polyoxymethylene
  blend filled with a dispersed iron
• Ye.P. Mamunya, G. Boiteux, G. Seytre, Yu.V.
  Muzychenko, E.V. Lebedev, C. Boullanger,
  P.Pissis.
• 2. Phase inversion in conductive polymer
  blends filled with dispersed metal
• Y. Mamunya, G. Boiteux, G. Seytre, P. Pissis and
  E. Lebedev.
• 3. PTC effect and structure of polymer
  composites based on polypropylene/Co-polyamide
  blend filled with dispersed iron
• A. Kanapitsas, C. Tsonos, E. Logakis, C. Pandis,
  P. Pissis, E. Kontou, Y.P. Mamunya, E.V. Lebedev,
  C.G. Delides.

17
??ß?????af?a

• 4. All polymer PTC devices temperature
  conductivity characteristics of
  polyisothianaphthene and poly(3-hexylthiophene)
  blends
• C. Liu, K. Oshima, M. Shimomura, S. Miyauchi
• 5. Conductive thermoset composites PTC effect
  
• G. Boiteux, J. Fournier, D. Issotier, G. Seytre,
  G. Marichy.
• ?p?s??, a??et?? p????f???e? ß??s???ta? ?a? st??
  ?st?se??de?
• www.sciencedirect.com
• www.scopus.com
• www.interscience.wiley.com