The calculation of dynamic JR-curves from 2D and 3D finite element analyses of a Charpy test using a rate-dependent damage model

Two dimensional and three dimensional analyses of the Charpy V-notch specimen subjected to impact loading according to the standard DIN EN 10045-1 were carried out, using a transient explicit dynamic finite element program. An elastic-viscoplastic temperature dependent constitutive relation for a porous plastic solid based on the Gurson damage model was developed. Ductile fracture of the matrix material will be described by the nucleation and subsequent growth of voids to coalescence. An updated Lagrange-Jaumann formulation is employed accounting for large strain and rotation. The equations of motion are integrated numerically by an explicit integration algorithm utilising a lumped mass matrix. The predictions of the numerical analyses in terms of force deflection response, crack propagation and crack resistance behaviour are compared with results from Charpy tests which were carried out according to low-blow and full-blow techniques.