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You need to know the tensile strength because a bending test creates tensile stress on one side of the joint and compressive stress on the opposite side of the joint. This is important because the tensile strength is much lower than the compressive strength for concrete.
Do you have a different strength for the joint material and the concrete block material, or are they the same?
If the strengths and properties of the two materials are the same, the adhesion is perfect and the joint covers the entire area of the ends of the blocks, that seems equivalent to having no joint. Instead of analyzing two 50 cm long blocks that are joined, you can just analyze one 100 cm long block of concrete.