Insertion of Rotational Effects to the Calculation of J-Integrals Using Finite and Boundary Element Methods

Abstract

The calculation of J-integrals for cases with rotational effects using the finite or boundary elements needs special treatment. In this work, an attempt is made to derive the J-integral expressions for cases with rotational loading conditions. New useful ideas for reducing domain integrals to boundary integrals and improving the accuracy of J-integrals are developed. The new ideas are implemented in finite and boundary element programs which were developed and validated in this work by taking a case study of central-cracked rotating disc with known analytical solution. The results of the developed programs show good agreements with the analytical solution.