Since timber material exhibits different behaviour in tension and compression, it fails in a ductile manner when the compression load is applied and it behaves as a brittle material when subjected to a tensile load. Most existing models for anisotropic materials are derived based on Hill’s criterion, which does not distinguish between compressive and tensile strengths. So I'm a little perplexed as to which model would be best for the timber non-linear analysis.
The weak spot of timber structure should be the join node, so you would consider this point. About the material constitutive, the elastic-plastic characteristic of both in tensile loading or compressive loading should be thought about. The elastic-plastic constitutive model should be employed to analyzing the mechanical behavior of wood. The work, you can read. https://xueshu.baidu.com/usercenter/paper/show?paperid=1y730gk0xc5n0gn0xf1y0800sp113036&site=xueshu_se
In general wood does not behave non linear as there are no non linear effects seen in the body vibration of musical instruments made of wood. We do not see it in architecural acoustics either. The non linar part in bowed musical instruments is the bowed string.
Any material can become non linear a very large amplitudes and/or strong excitation. Maybe the effects kick in earlier for low frequency vibrations e.g. In bridges or similar.
However, in general wood does behave linear in the acoustic and vibration meaning of the issue.
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