Effect of shear and rotary inertia on dynamic fracture of a beam or plate in tensile loading

✍ Scribed by C. Levy

• Publisher: Elsevier Science
• Year: 1983
• Tongue: English
• Weight: 630 KB
• Volume: 18
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(83)90095-4

✦ Synopsis

The dynamic fracture response of a long beam of brittle material subjected to tensile loading is studied. If the magnitude of the applied tensile loading is increased to a critical value, a crack will propagate from one of the longitudinal surfaces of the beam. As an extension of previous work, the effect of shear and of rotary inertia on the tensile loading and the induced bending moment at the fracturing section is included in the analysis. Thus an improved formulation is presented by means of which the crack length, crack tip velocity, bending moment and axial force at the fracture section are determined as functions of time after crack initiation. It is found that the rotary effect diminishes the bending moment effect and retards total fracture time whereas the shear has an opposite effect. Thus by combining the two effects (to simulate to first order the Timoshenko beam) overall fracture is retarded. The results also apply for plane strain fracture of a plate in tensile loading provided the value of the elastic modulus is appropriately modified.