Yeoh hyperelastic model information

The Yeoh hyperelastic material model^[1] is a phenomenological model for the deformation of nearly incompressible, nonlinear^{[disambiguation needed]} 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 $I_{1},I_{2},I_{3}$ of the Cauchy-Green deformation tensors.^[2] 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, O. H. (November 1993). "Some forms of the strain energy function for rubber". Rubber Chemistry and Technology. 66 (5): 754–771. doi:10.5254/1.3538343.
^ 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.

[Yeoh93-1] Yeoh, O. H. (November 1993). "Some forms of the strain energy function for rubber". Rubber Chemistry and Technology. 66 (5): 754–771. doi:10.5254/1.3538343.

[2] 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.

Yeoh hyperelastic model information

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