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Viscoelastic Behavior of
    Liquid Silicone Rubber

   Time, Temperature and Vulcanization
       ,    p



      SIMTEC SILICONE PARTS, LLC
                     and
        Polymer Engineering Center
      University of Wisconsin-Madison




Where Science Meets Innovation™
Prof. Tim A. Osswald

         Prof. Juan P. Hernández
              Miguel Hidalgo
           Dr.
           Dr Natalie Rudolph
            Katerina Sánchez




Where Science Meets Innovation™
• When is LSR a solid or a liquid?
                             q

• What role does temperature play?

• What role does time scale play?

• What role does vulcanization play?




    Where Science Meets Innovation™
Dynamic Mechanical Test (Fixed Frequency)
       Strain input



                           Elongational t t
                           El    ti   l test



         SOLID                      LIQUID
 Elastic stress response   Viscous stress response




       Where Science Meets Innovation™
Dynamic Mechanical Test (Polymer)
 Stress/Strain
 St    /St i




                         Solid                    Liquid

Complex modulus
                                 Solid   Liquid


         Where Science Meets Innovation™
Dynamic Mechanical Test (Complex Modulus)




Magnitude                    Magnitude




               Solid       Liquid


       Where Science Meets Innovation™
Dynamic Mechanical Test (Energy Dissipation)
 Stress/Strain
 St    /St i




                 Energy dissipation:




                                       Volume specific dissipative energy




         Where Science Meets Innovation™
Dynamic Mechanical Test (Energy Dissipation)
Stress/Strain




                                      SHEAR




                Energy dissipation:




         Where Science Meets Innovation™
Sliding Plate Rheometer (Complex Viscosity)
Stress/Strain
St    /St i
                                          SHEAR




                                                  Solid                Liquid


                      Complex Viscosity




                                                          Dissipative term (Viscosity)
                                                                   Liquid


  Storage term (Elasticity)                         or
           Solid

          Where Science Meets Innovation™
Temperature and Vulcanization




Where Science Meets Innovation™
Curing Behavior of LSR




     Where Science Meets Innovation™
Curing Behavior of LSR and HCR




     Where Science Meets Innovation™
Solid-Liquid Transition (LSR)
                                          Vulcanized rubber

        Frequency = 1 Hz
           q    y


                  cg reached



         More viscous      More elastic




     Where Science Meets Innovation™
Viscosity of Vulcanizing Elastomers (LSR)

                     Vulcanization

  Heating
        g




                        Shear thinning




       Where Science Meets Innovation™
Time Scale




Where Science Meets Innovation™
Stress Relaxation




 L
                               Stress=(t)




     

            =/L
                     Constant strain 


         Where Science Meets Innovation™
Stress Relaxation




           100 o C                  25 o C                    -50o C




   10 -8             10 -4   10 0            10 4   10 8           10 12         10 16


                                                    3 years       30,000 years




           Where Science Meets Innovation™
Stress Relaxation




    Time –Temperature Superposition
          Temperature
     Where Science Meets Innovation™
Stress Relaxation


                                        De >> 1




               Log(ER)                               De > 1



                                                              De < 1



                                            

                         10-3 seconds       10 -1 seconds     seconds


                                         Log(time)


     Where Science Meets Innovation™
Dynamic Test

  Maxwell model                        Time scale

                  Equilibrium   Dynamic response



                  Deformation




      Where Science Meets Innovation™
Time Scale and Temperature

         Maxwell model   Constant Test Temperature (TT)




            TT ≈ Ts           TT ≈ Tg



     Where Science Meets Innovation™
Viscoelastic Properties of Polyisobutylene
                               TT =25oC




                         G’’


                          G
                          G’

                                          TT ≈ Tg
                          TT ≈ Ts



Marvin and Oser (1962)

        Where Science Meets Innovation™
Time Scale and Temperature


        Reference temperature 95°C   35°C




                                     105°C



     Where Science Meets Innovation™
Time Scale and Temperature



       Time –Temperature Superposition




     Where Science Meets Innovation™
Time-Temperature Superposition




    Where Science Meets Innovation™
Conclusions

State of matter: A polymer is a solid and a liquid at all times,
                 temperatures, and degrees of vulcanization

Temperature:     Softening Temperature and cg at Tan       =1

Time scale:      Softening Temperature and cg is time
                 (frequency, cooling rate/heating rate)
                 dependent

Pressure :       Softening Temperature and cg are time
                 dependent (another story)




        Where Science Meets Innovation™
Biographical Note
 SIMTEC Silicone Parts, LLC
 1902 Wright Street, Madison WI 53704, USA
 Tel: 1-608-663-4553; Email: info@simtec-silicone.com
                                 @
 Website: www.simtec-silicone.com


        SIMTEC is a research and technology driven company exclusively
      focused on developing custom, high-precision Liquid Silicone Rubber
     (LSR), overmolded and Two Shot parts and components for innovative
                            companies worldwide.


 Polymer Engineering Center, University of Wisconsin-Madison
 1513 University Avenue, Madison, WI 53706, USA
 Tel: 1 608 265 2405 Website: http://pec.engr.wisc.edu/
 T l 1-608-265-2405; W b it htt //             i    d /




        Where Science Meets Innovation™                                     ©Simtec Silicone Parts, LLC

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Viscoelastic Behavior of Liquid Silicone Rubber (LSR)

  • 1. Viscoelastic Behavior of Liquid Silicone Rubber Time, Temperature and Vulcanization , p SIMTEC SILICONE PARTS, LLC and Polymer Engineering Center University of Wisconsin-Madison Where Science Meets Innovation™
  • 2. Prof. Tim A. Osswald Prof. Juan P. Hernández Miguel Hidalgo Dr. Dr Natalie Rudolph Katerina Sánchez Where Science Meets Innovation™
  • 3. • When is LSR a solid or a liquid? q • What role does temperature play? • What role does time scale play? • What role does vulcanization play? Where Science Meets Innovation™
  • 4. Dynamic Mechanical Test (Fixed Frequency) Strain input Elongational t t El ti l test SOLID LIQUID Elastic stress response Viscous stress response Where Science Meets Innovation™
  • 5. Dynamic Mechanical Test (Polymer) Stress/Strain St /St i Solid Liquid Complex modulus Solid Liquid Where Science Meets Innovation™
  • 6. Dynamic Mechanical Test (Complex Modulus) Magnitude Magnitude Solid Liquid Where Science Meets Innovation™
  • 7. Dynamic Mechanical Test (Energy Dissipation) Stress/Strain St /St i Energy dissipation: Volume specific dissipative energy Where Science Meets Innovation™
  • 8. Dynamic Mechanical Test (Energy Dissipation) Stress/Strain SHEAR Energy dissipation: Where Science Meets Innovation™
  • 9. Sliding Plate Rheometer (Complex Viscosity) Stress/Strain St /St i SHEAR Solid Liquid Complex Viscosity Dissipative term (Viscosity) Liquid Storage term (Elasticity) or Solid Where Science Meets Innovation™
  • 10. Temperature and Vulcanization Where Science Meets Innovation™
  • 11. Curing Behavior of LSR Where Science Meets Innovation™
  • 12. Curing Behavior of LSR and HCR Where Science Meets Innovation™
  • 13. Solid-Liquid Transition (LSR) Vulcanized rubber Frequency = 1 Hz q y cg reached More viscous More elastic Where Science Meets Innovation™
  • 14. Viscosity of Vulcanizing Elastomers (LSR) Vulcanization Heating g Shear thinning Where Science Meets Innovation™
  • 15. Time Scale Where Science Meets Innovation™
  • 16. Stress Relaxation L Stress=(t)  =/L Constant strain  Where Science Meets Innovation™
  • 17. Stress Relaxation 100 o C 25 o C -50o C 10 -8 10 -4 10 0 10 4 10 8 10 12 10 16 3 years 30,000 years Where Science Meets Innovation™
  • 18. Stress Relaxation Time –Temperature Superposition Temperature Where Science Meets Innovation™
  • 19. Stress Relaxation De >> 1 Log(ER) De > 1 De < 1  10-3 seconds 10 -1 seconds seconds Log(time) Where Science Meets Innovation™
  • 20. Dynamic Test Maxwell model Time scale Equilibrium Dynamic response Deformation Where Science Meets Innovation™
  • 21. Time Scale and Temperature Maxwell model Constant Test Temperature (TT) TT ≈ Ts TT ≈ Tg Where Science Meets Innovation™
  • 22. Viscoelastic Properties of Polyisobutylene TT =25oC G’’ G G’ TT ≈ Tg TT ≈ Ts Marvin and Oser (1962) Where Science Meets Innovation™
  • 23. Time Scale and Temperature Reference temperature 95°C 35°C 105°C Where Science Meets Innovation™
  • 24. Time Scale and Temperature Time –Temperature Superposition Where Science Meets Innovation™
  • 25. Time-Temperature Superposition Where Science Meets Innovation™
  • 26. Conclusions State of matter: A polymer is a solid and a liquid at all times, temperatures, and degrees of vulcanization Temperature: Softening Temperature and cg at Tan =1 Time scale: Softening Temperature and cg is time (frequency, cooling rate/heating rate) dependent Pressure : Softening Temperature and cg are time dependent (another story) Where Science Meets Innovation™
  • 27. Biographical Note SIMTEC Silicone Parts, LLC 1902 Wright Street, Madison WI 53704, USA Tel: 1-608-663-4553; Email: info@simtec-silicone.com @ Website: www.simtec-silicone.com SIMTEC is a research and technology driven company exclusively focused on developing custom, high-precision Liquid Silicone Rubber (LSR), overmolded and Two Shot parts and components for innovative companies worldwide. Polymer Engineering Center, University of Wisconsin-Madison 1513 University Avenue, Madison, WI 53706, USA Tel: 1 608 265 2405 Website: http://pec.engr.wisc.edu/ T l 1-608-265-2405; W b it htt // i d / Where Science Meets Innovation™ ©Simtec Silicone Parts, LLC