The Mullins Effect in the Vibration of a Stretched Rubber Membrane  

Oleh:

Beatty, Millard F.

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: Mathematics and Mechanics of Solids vol. 8 no. 4 (Aug. 2003), page 435-445.
Topik: Mullins effect; stress-softening; pseudo-elasticity; membrane vibration
Fulltext: 435MMS84.pdf (171.89KB)

Isi artikel

The effect of stress-softening on the small amplitude transverse vibrational frequency of a stretched rubber membrane is investigated. The fundamental frequency is determined for a general incompressible and isotropic stress-softening material. It is shown that for each fixed value of the stretch A E (1, A), the fundamental frequency of the virgin material membrane is greater than the corresponding frequency of the same membrane preconditioned to a maximum previous stretch A. Moreover, the stress-softened membrane frequency for the same stretch decreases further with the degree of softening damage incurred upon increasing the maximum previous stretch. A specific damage function is introduced and explicit results are illustrated for three material models.

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