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4.1.3.19 Ogden Unconstrained
This material describes an unconstrained hyperelastic Ogden material [48]. The following material parameters must be defined:
<c[n]> | Coefficient of n term, where n can range from 1 to 6 | [P] |
<m[n]> | Exponent of n term, where n can range from 1 to 6 | [ ] |
<cp> | Bulk-like modulus | [P] |
The hyperelastic strain energy function for this material is given in terms of the eigenvalues of the right or left stretch tensor: Here, are the eigenvalues of the right or left Cauchy deformation tensor, , and are material coefficients and ranges from 1 to 6. Any material parameters that are not specified by the user are assumed to be zero.
Example:
<material id="1" type="Ogden unconstrained"> <m1>2.4</m1> <c1>1</c1> <cp>2</cp> </material>