When to use Nonlinear Analysis?
Article by Irfan Zardadkhan, PhD, CSWE updated May 21, 2014
Article

Nonlinear Analysis
A Linear Static analysis can be performed on a problem if the following assumptions are valid:
- The material is linear elastic, where the geometry will return to its original shape if the load is removed.
- Deformations are small in relation to the dimensions of the model.
- Loads and restraints are constantly applied to the model, without change in magnitude or direction. Also, the loads do not cause separate parts to come into contact with one another
A Linear Static solution is not valid if any of these points are violated. The relationship between the loads (generalized force) and the response (generalized displacement) becomes nonlinear, and a Nonlinear Analysis must be performed in order to get accurate results that reflect true-to-life behavior.
To determine if you need to do a nonlinear analysis, the following key questions should be answered:
- Has the maximum stress exceeded the yield stress for the material? Or are any of the material properties modified as a consequence of the stress level reached?
- Are the deflections large? (rough guide: if deflections are close to the thickness of the material then the deflections are large).
- Is stress stiffening/stress softening occurring?
- Are there dynamic or inertial effects?
- Is a no-penetration contact area expected to change shape or size during the simulation?
- Is a material experiencing creep or viscoelasticity?
- Does the load direction/magnitude vary due to the deflection of the model?
If the answer is yes to any of the above then you should use the Nonlinear Analysis for your study
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