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Wide-range algebraic expressions for the displacement of cracked fracture mechanics specimens are developed. For each specimen two equations are given: one for the displacement as a function of crack length, the other for crack length as a function of displacement. All the specimens that appear in ASTM Test for Plane-Strain Fracture Toughness of Metallic Materials (E 399) are represented in addition to the crack mouth displacement for a pure bending specimen. For the compact tension sample and the disk-shaped compact tension sample, the displacement at the crack mouth and at the load line are both considered. Only the crack mouth displacements for the arc-shaped tension samples are presented. The agreement between the displacements or crack lengths predicted by the various equations and the corresponding numerical data from which they were developed are nominally about 3% or better. These expressions should be useful in all types of fracture testing including JIc, KR, and fatigue crack growth.
fracture testing, displacement solutions, displacement expressions
Materials Engineer, U. S. Army Armament, Munitions, and Chemical Command, Armament Research and Development Center, Large Caliber Weapon Systems Laboratory, Benet Weapons Laboratory, Watervliet, NY
Graduate Student, University of New Mexico, Albuquerque, NM
Materials Engineer, NASA-Lewis Research Center, Cleveland, OH