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Yeoh (hyperelastic model) : ウィキペディア英語版
Yeoh (hyperelastic model)
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The Yeoh hyperelastic material model〔Yeoh, O. H., 1993, "Some forms of the strain energy function for rubber," ''Rubber Chemistry and technology'', Volume 66, Issue 5, November 1993, Pages 754-771.〕 is a phenomenological model for the deformation of nearly incompressible, nonlinear elastic materials such as rubber. The model is based on Ronald Rivlin's observation that the elastic properties of rubber may be described using a strain energy density function which is a power series in the strain invariants I_1, I_2, I_3.〔Rivlin, R. S., 1948, "Some applications of elasticity theory to rubber engineering", in ''Collected Papers of R. S. Rivlin vol. 1 and 2'', Springer, 1997.〕 The Yeoh model for incompressible rubber is a function only of I_1. For compressible rubbers, a dependence on I_3 is added on. Since a polynomial form of the strain energy density function is used but all the three invariants of the left Cauchy-Green deformation tensor are not, the Yeoh model is also called the reduced polynomial model.
== Yeoh model for incompressible rubbers ==


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