1993/11/01 by O. H. Yeoh · 1,594 citations
Engineering · Mathematics · #Composite material #Deformation (meteorology) #Elastic energy #Elasticity (physics) #Elasticity and Material Modeling #Finite element method #Function (biology) #Materials science #Mathematical analysis #Mathematics #Natural rubber #Physics #Power function #Rubber elasticity #Shear modulus #Strain (injury) #Strain energy #Strain energy density function #Thermodynamics
paper · doi:10.5254/1.3538343
published in Rubber Chemistry and Technology 66(5), 754-771 (American Chemical Society)
crossref issued 1993/11/01 · crossref published 1993/11/01 · crossref published-print 1993/11/01 · openalex publication_date 1993/11/01 · crossref created 2011/02/16 · crossref deposited 2025/08/03 · openalex created_date 2025/10/10 · crossref indexed 2026/08/01 · openalex updated_date 2026/08/06
Abstract According to Rivlin's Phenomenological Theory of Rubber Elasticity, the elastic properties of a rubber may be described in terms of a strain energy function which is an infinite power series in the strain invariants I 1 , I 2 and I 3 . The simplest forms of Rivlin's strain energy function are the neo -Hookean, which is obtained by truncating the infinite series to just the first term in I 1 , and the Mooney-Rivlin, which retains the first terms in I 1 and I 2 . Recently, we proposed a strain energy function which is a cubic in I 1 . Conceptually, the proposed function is a material model with a shear modulus that varies with deformation. In this paper, we compare the large strain behavior of rubber as predicted by these forms of the strain energy function. The elastic behavior of swollen rubber is also discussed.