Verification of J-integral capability in Sierra Mechanics
A finite-deformation, massively parallel, domain J -integral has been developed in Sierra Me- chanics with specific emphasis on pressurized loadings. We review the development of the domain integral and the inclusion of terms to correct for boundary tractions. We note the syntax employed in Sierra and illustrate the choice of weight function. Details are provided regarding domain selection, erack direction, and the construction of the test function. Be- cause quality meshes are required to obtain accurate measures of the driving force, methods were developed in Cubit for creating element boundaries orthogonal to the crack front. We briefly review the new capabilities and provide guidance for mesh construction. A compre- hensive set of examples illustrate the current implementation in Sierra. Examples include straight crack fronts, curved crack fronts, and non-planar crack faces. We investigate elastic and elastic-plastic cases. The inclusion of boundary tractions is verified through a pressur- ized ellipsoidal flaw. When possible, the calculated driving forees are compared to analytical solutions. Although the J -integral is available in many commercial codes, the finite defor- mation implementation in Sierra will enable analysts to examine detailed component level models and include fracture mechanics as a tool in the Sandia design process.