Yes you can use solid elements for bending problems..example: the response of structural column subjected to combined loading or pile foundation subjected to combined loading is 3-dimensional in nature..the 8-noded or 20-noded solid element can use for bending problems..the 20-noded solid element will predict the response better compared to 8-noded elements..ok all the best in your research work..
Yes solid 3d elements can be used for bending and they produce accurate results but it should be remembered that the results are of greater scope than beam or shell elements. For example near the fixed edges, you may find singularity in solid elements. An approach to minimise that is found in my below paper:
However, a comprehensive approach would be to model the structure as is in real life with a general contact model Instead of fixed boundary conditions which are an approximation of the reality.