The Relation between Dynamic Elastic Modulus, Internal Friction, Creep and Stress Relaxation in Polymethyl Methacrylate
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The dynamic Young's modulus and the internal friction of polymethyl methacrylate have been measured over a frequency range of 100-2000 c.p.s. by the lateral vibration. The dynamic rigidity modulus and the internal friction have been measured over a frequeney range of 0.2-1 c.p.s. by the torsional vibration. The creep and stress relaxation have been also measured in a time range of 1-50 minuites. It was found that both creep and relaxation function are proportional to the logarithm of time. By making use of this creep function and assuming only the superposition principle, the dynamic elastic modulus and the internal friction were calculated as functions of frequency. Any assumption about the distribution function of relaxation time was not used. The agreement between calculated curves and the measured values is considerably good when the parameter C is taken to be 0.09, where C represents the ratio of the slope of creep function against logarithm of time to the instantaneous strain. While the experimentally observed C is 0.065. Stress relaxation function was calculated over a broader time range from the above curves and was found not to be linear to the logarithm of time in the very early time after loading. But it was linear after about 1 minuite and gave a reasonable agreement with the measured values.
- 社団法人日本物理学会の論文
- 1954-10-25
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