This study develops a constitutive model linking stress and strain in rat tail ligaments, suggesting practical applications in experimental settings.
Guided by some general mathematical considerations about the nature of stress and strain, we came up with a constitutive model, very simple and easy to apply [1]. The applications can be done for any experimental data, just as easy as a curve fit, if not easier. The basis of this constitutive model is a homographic relation between stress and strain, and the data handling reduces to just three essential steps: 1) Construct a third coordinate for every experimental point, by multiplying stress and strain. 2) Find the equation of the plane containing the experimental points of coordinates strain, stress and stress X strain. 3) Find the equation of the homography from the equation of that plane.
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Mazilu et al. (1995) studied this question.
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