An Elastic and Hyperelastic Material Model of Joint Cartilage - Calculation of the Pressure Dependent Modulus of Elasticity by Comparison with Experiments and Simulations
In this paper we introduce a elastic and hyperelastic model to describe the biomechanics of joint cartilage. As biomechanical property we calculated the pressure dependent E-modulus E = f(s) to describe the dependence of the biomechanical properties on pressure.
The calculation based on the comparison and the iterative approach of the force-way-functions between the experiments and simulations. In this first study we found that the E = f(s) is a degree 4 polynomial. The E-modulus varies between 0 - 2.9 MPa for the elastic and between 0 - 2.2 MPa for the hyperelastic material model by a compression from 0 – 0.4 mm caused by a surgery tasthaken. The pressure dependent E-modulus allows us to simulate the nonlinear behaviour of compressed cartilage tissue.
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