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Finite Deformation: Analytic and FEA Solutions

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  • Finite Deformation: Analytic and FEA Solutions

    Dear Colleagues,

    I would like to characterize the large deformation of a hollow tube
    subjected to bending, including the Brazier effect and the buckling
    behavior. The material properties are nonlinear, but even an
    understanding of linearly elastic behavior would be helpful. Ideally I
    would have both an analytic solution to the finite deformation problem
    as well as a finite element solution. To that end, I have the following
    two questions.

    1. Can anyone direct me to an analytic solution to the bending of a
    hollow tube? My understanding is that the finite deformation solution
    for radial symmetric geometry tested in bending is not trivial.
    References would be greatly appreciated.

    2. Do people have a preference for FEA packages that can handle
    large deformation problems accurately? The 5 packages I am looking at
    include: ABAQUS, ALGOR, ANSYS, COSMOS, and NASTRAN. Cost and
    user-friendliness may be an issue. Commentary on the various packages
    would be appreciated.

    Thank you for your attention.

    Stephen Rossi, PhD