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Orthotropic cylinder generalized plane strain analysis with T(r)

Orthotropic cylinder generalized plane strain analysis with T(r)

Orthotropic cylinder generalized plane strain analysis with T(r)

(OP)
Hey everyone, I'm trying to solve a problem of an orthotropic cylinder with T(r). The vehicle is not designed yet, so our goal is to create a generalized plane strain model so our axial length is arbitrary. I am not sure of a way to solve a generalized plane strain (GPS) problem with T(r) since the axial strain is not constant. When solving a GPS using finite elements, we usually utilize symmetry and simply model a small wedge with the axial faces coupled independently. This would ensure constant axial strain since the entire structure is growing uniformly. Here, I have a problem where the OD and ID are at a different temperature and therefore grow at different rates (using temperature dependent properties). If I couple the axial faces, I still get axial bending with compressive stresses on the OML and tensile stresses on the IML. Does anyone know if there is a way to model a generalized plane strain model with T(r) and if there is a closed form solution to this problem? Thanks.

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