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Published on: January 26, 2016
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Temperature Dependence of Nonlinear Elastic Moduli of Polystyrene
Andrey V Belashov1, Anna A Zhikhoreva1, Yaroslav M Beltukov1
1Ioffe Institute, Russian Academy of Sciences, 26, Polytekhnicheskaya, 194021 St. Petersburg, Russia.
Polymers
|April 26, 2025
Summary
Nonlinear elastic moduli in polymers show significant temperature dependence, particularly affecting the l and m moduli. This behavior is linked to frequency shifts at elevated temperatures, impacting dynamic load predictions.
Area of Science:
- Materials Science
- Polymer Physics
- Acoustics
Background:
- Nonlinear elastic properties of polymers are vital for predicting responses to dynamic loads.
- Understanding the temperature susceptibility of these nonlinear moduli is crucial but poorly understood.
- Previous work indicated frequency dependence in polystyrene's nonlinear elastic moduli.
Purpose of the Study:
- To investigate the temperature dependence of nonlinear elastic (Murnaghan) moduli in polystyrene.
- To quantify the temperature susceptibility of various nonlinear moduli (l, m, n).
- To correlate temperature effects with frequency dependence.
Main Methods:
- Utilized the acousto-elastic effect for measurements.
- Analyzed the pressure dependence of longitudinal and shear ultrasonic wave velocities.
- Conducted measurements across a temperature range of 25-65 °C and frequencies of 0.7-3 MHz.
Main Results:
- The temperature susceptibility of nonlinear moduli l and m was found to be two orders of magnitude greater than that of linear moduli λ and μ.
- Variations in the n modulus with temperature were minimal and within measurement tolerance.
- Observed tendencies suggest nonlinear moduli shift to higher frequencies as temperature increases.
Conclusions:
- Polymers exhibit significant temperature susceptibility in their nonlinear elastic properties, particularly the l and m Murnaghan moduli.
- This temperature dependence is strongly linked to frequency shifts, impacting material behavior under dynamic conditions.
- The findings provide critical data for accurate modeling of polymer composites in varying thermal environments.
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