I am doing multiscale modeling of composites plate structures. I have A, B and D matrices of a plate element, which can be convert to MID1, MID2, MID4 fields in PSHELL entry. Now I also have the thermal induced plate stress resultants {NT} and {MT}. {NT} is the thermal induced in-plane forces, and {MT} is the thermal induced bending moments. In Nastran, {NT} and {MT} should be captured using equivalent CTEs and materials properties in MID1, MID2 and MID4 materials.
So my question is how to get the equivalent CTEs in MID1, MID2 and MID4 materials based on {NT} and {MT}?
this is not as simple as it first looks. If the element is free then of course there will be no loads. If fully constrained then you can do something. anything else, you will have no idea if the forces come from the CTE or surrounding elements. The method you would need to use is to use your force vector and ABD matrix to calculate thermal strains. Then calculate the CTE's you need to create that strain.