Stress-Softening Effects in the Vibration of a Non-Gaussian Rubber Membrane  

Oleh:

Beatty, Millard F. ; Elias-Zuniga, Alex

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: Mathematics and Mechanics of Solids vol. 8 no. 5 (Oct. 2003), page 481-495.
Topik: Mullins effect; non-Gaussian networks; rubber elasticity; membrane vibrations
Fulltext: 481MMS85.pdf (262.14KB)

Isi artikel

The Mullins effect in the small amplitude transverse vibration of a stretched rubber membrane is investigated. The fundamental frequency, which decreases with increasing softening, is determined for a specific class of stress-softening materials. Analytical relations for the membrane vibration frequency are illustrated graphically for three phenomenological models and two kinds of non-Gaussian molecular network models for rubber elasticity. The results demonstrate the role of the material parameters and, although no experimental data for the vibration of a rubber membrane currently are known, the theoretical predictions are characteristic of the frequency-stretch response reported in vibration experiments on rubber cords.

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