© 2016 Elsevier Ltd. Maximum loads of notched three-point-bend specimens with constant height are used to determine the tensile strength and fracture toughness of concrete. Normally the tensile strength and fracture toughness cannot be obtained from small three-point-bend specimens because of the highly heterogeneous composite structures of concrete and formation of fictitious crack prior to the maximum load. A simple fracture model is established, linking fictitious crack to the maximum aggregate size so that the concrete structure and fictitious crack formation can be considered together. Maximum loads of three-point-bend specimens with different initial notches containing different influence of the tensile strength and fracture toughness are then analyzied.