Next Finite-Element Modelling of<br> Nonlinear Behaviour of the Middle Ear 1. Outline 2. Nonlinear behaviour of the middle ear 2. Nonlinear behaviour of the middle ear (cont'd) 2. Nonlinear behaviour of the middle ear (cont'd) 3.1 Stuhlman (1937) 3.2 Stuhmiller (1989) 3.3 Price & Kalb (1991) 3.4 Chen (1993) 3.5 Wada & Kobayashi (1990) 3.6 Pascal <em>et al.</em> (1998) 4.1 What? 4.2 Why? 4.3.1 Choice of element geometry 4.3.2.1 Type of problem 4.3.2.2 Assumptions about mechanical behaviour 4.3.2.3 Material laws 4.3.2.4 Methods for formulation 4.3.3 Mesh generation 4.3.4 Specification of material properties 4.3.5.1 Linear calculation of static responses 4.3.5.2 Natural frequencies and modes 4.3.5.3 Time-domain responses and frequency responses 4.3.6 Testing for convergence 5. Nonlinear finite-element modelling 26 of 41 5.1 Solution methods (cont'd) 5.2 Sources of nonlinearity 6. Nonlinear behaviour of tissues 6. Nonlinear behaviour of tissues (cont'd) 6.1 Bone 6.2 Soft tissues 6.2.1 Hysteresis 6.2.2 Preconditioning 6.2.3 Rate dependence 6.2.4 Creep and relaxation 7. Example 7. Example (cont'd) 8.3 Free 9. Acknowledgements 10. References

5.1 Solution methods

A general approach to nonlinear simulation involves incremental, step-by-step solutions, determining the equilibrium state at one time-step or load condition before advancing to the next.

For example, a pressure can be applied in small increments up to the final pressure, with iterations being performed at each step to compute the deformation at that pressure.

This is conceptually straightforward but numerically delicate and computationally expensive.


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R. Funnell
Last modified: Sun, 2002 Jan 27 17:15:20
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