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Suggestions for predicting the displacement of a graph or force estimation.

Stelios Fanourakis 님이 질문을 제출함. 13 Oct 2019
최근 활동 Daniel M 님이 댓글을 추가함. 21 Oct 2019 14:11
Hello
This question is aimed mostly to engineers but whoever believes he can handle it may give his valuable advice.
I have a tabular data set of Load/Displacements in Newton/mm of a material using an Instron Machine, applying compressive forces.
Those data are my reference or gold standard. The same material is depicted on images where unknown forces are applied to the object and the object deforms as it is a rubber material. I want to estimate the forces caused that deformation.
My idea is developing a model that measures each column of the image that the object is depicted under strain. I measure the heigh of the object in each image column and find the difference from the gold standard that I have. Sounds simple right? I was thinking an interpolation method to bridge the gaps between the gold standard and the measured data from the images. E.g. if the gold standard data for 5 Newton is 2 mm displacement from its original position (undeformed material), then how many newtons are required to displace the same object at 5 mm from its original position. Something like that.
Can you help with suggestions and ideas please?
Thanks in advance

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Is stress not just force divided by cross sectional area?
Do NOT use a 7th order polynomial for anything. Create a function that describes your model, fit the coefficients of your model for each material you have. Then when you need to get stress from a displacement, just plug it into the function you have created with the corresponding coefficients. You do not need to interpolate anything if you have a parametric equation describing the characteristics of your system.
In other words you tell me to use only the Ogden model. Maybe modified to give me stress out of loads and strain out of displacements.
stress = force / area is for linear objects. Mine since is a nonlinear one, should be more complicated
I suggest you try and get your pipeline working on a simple, linear material first. Then, once you have confirmed it works the way you like, to go back and upgrade it to the nonlinear regime.

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