Answer: Solanum Rantonnetii 'Grandiflorum', the Blue Potato Bush, is probably what you're growing. It's sometimes classified as Lycianthes rantonnei, or Paraguay Nightshade. It's generally grown as a shrub but can be staked into a tree form. It's evergreen in mild winters, deciduous in colder areas. The bright green oval leave are about 4" long and the plants is covered with violet blue, yellow-centered, one inch wide flowers throughout the warm months.
A crack in the trunk might be due to physical injury, or to sunscald. If the plant is healthy it will callous over at the injury site. You can prune back the stems and branches on your tree to encourage new flowering wood.
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