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Deformation and stability of compressible rubber O-rings

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Abstract
Background: In rubber elastic models it is generally assumed that the bulk modulus is infinite, resulting in a
material that does not change its volume and a pressure that cannot be evaluated from the material model.
Methods: We have developed a general procedure that incorporates a finite bulk modulus. Using the developed
framework accurate results can be obtained without the need for special finite elements. It gives the correct results
even in the limit of infinite bulk modulus.
Results: It was shown that material compressibility causes additional stresses mostly associated with an additional
hydrostatic pressure. It was also demonstrated that once a bulk modulus is included in the constitutive model,
stability analyses of rubber-like materials subject to large deformation become numerically stable and accurate.
Hence, it is essential to use compressibility with neo-Hookean solids for accurate stress and lifing predictions. The
role of twist in the formation of stress-strain states in rubber O-rings has been evaluated. Such a twist causes elastic
instabilities resulting in highly deformed O-ring shapes. Numerical analysis using compressible material models
predicted the stable deformed states that O-ring do not remain circular. The ring is buckled and reaches a “chair” –
type non-planar shape just beyond inside-out twist.
Conclusions: The results indicate that elastic material volume change causes additional stresses mostly associated
with an additional hydrostatic pressure. Simulations using various rubber elastic models showed that allowing
volume changes allows accurate stress state prediction, reduces numerical difficulties and improves the numerical
stability.

Keywords: Rubber compressibility, Stability, Large deformation, O-ring

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Informasi Detail

Judul Seri

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No. Panggil

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Penerbit

: Springer Singapore., 2017

Deskripsi Fisik

International Journal of Mechanical and Materials Engineering

Bahasa

English

ISBN/ISSN

2198-2791

Klasifikasi

NONE

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

Volume 12, Issue 1, December 2017

Subjek

TEKNIK MESIN

Info Detail Spesifik

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Pernyataan Tanggungjawab

ety

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