Construction of a Strain‐Energy Function for an Isotropic Elastic Material
作者:
Jeffrey T. Fong,
Robert W. Penn,
期刊:
Transactions of the Society of Rheology
(AIP Available online 1975)
卷期:
Volume 19,
issue 1
页码: 99-113
ISSN:0148-6055
年代: 1975
DOI:10.1122/1.549389
出版商: The Society of Rheology
数据来源: AIP
摘要:
Experimental data on the volume changes accompanying simple tension of peroxide vulcanizates of natural gum rubber, as first reported by Penn inTrans. Soc. Rheol.,14, 509 (1970), are further interpreted within the framework of the theory of a hyperelastic material. Motivated by the formal connection between a hyperelastic material and a nonlinear viscoelastic fluid (Trans. Soc. Rheol.,9, 27 (1965)), and a mathematical result on the decomposition of the scalar potential of that fluid (Z. Angew. Math. Phys.23, 780 (1972)), the interpretation of Penn's data leads to an explicit construction of a strain‐energy function for rubbery materials:W(I1,I2,I3)=C1(I1−3)+C2(I2−3)+H̄(I1,I2)(I3−1)+18K(I3−1)2.
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