A novel boundary element formulation for two-dimensional fracture mechanics is presented in this work. Theformulation is based on the derivation of a supplementary boundary integral equation to be used in combinationwith the classic displacement boundary integral equation to solve anisotropic fracture mechanics problems via asingle-region approach. The formulation is built starting from the observation that the displacement field for ananisotropic domain can be represented as the superposition of a vector field, whose components satisfy a suitablydefined anisotropic Laplace equation, and the gradient of the Airy stress function. The supplementary boundaryintegral equation is then obtained using such representation into the integral expression of the aforementionedLaplace equation and employing the relationship between the stress function gradient and the boundary tractions.The supplementary equation neither requires the computation of hyper-singular integrals nor does itintroduce additional variables for the problem, as it involves boundary displacements and tractions only.Numerical results are obtained for both uncracked and cracked bodies and show the accuracy and potential ofthe proposed approach.
|Numero di pagine||12|
|Rivista||Theoretical and Applied Fracture Mechanics|
|Stato di pubblicazione||Published - 2019|
All Science Journal Classification (ASJC) codes