Nonlinear analysis of a spring loaded part

I have a component that is supported by springs and is subject to a static load. I need to know the deformed shape if the part is overloaded and yields. Is it possible to perform a non-linear analysis of the part and use either spring connectors or an elastic foundation? I would like to overload the part in one load step, then remove the load leaving the deformed part. I do not need to model the springs, but I want to account for spring stiffness.

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