Constitutive equations for elastomers

✍ Scribed by Tschoegl, Nicholas W.

• Publisher: Wiley (John Wiley & Sons)
• Year: 1971
• Tongue: English
• Weight: 437 KB
• Volume: 9
• Category: Article
• ISSN: 0449-296X
• DOI: 10.1002/pol.1971.150090714

✦ Synopsis

Abstract

General relations were derived by expanding the strain‐energy density function in terms of the invariants of the deformation tensor. Some constitutive equations obtained by keeping a third term in the expansion in addition to the two terms retained in the Mooney‐Rivlin equation were tested in the light of currently available experimental data. It is shown that by the retention of the third term the upswing in the Mooney stress at low values of λ^−1^ is successfully predicted, and the stress–strain behavior can be described with excellent accuracy up to break, even in carbon black‐filled rubber which is notoriously difficult to describe by the Mooney‐Rivlin equation.