2017/05/22 by A. Vellender, Vellender, Adam
Engineering · #FOS: Physical sciences #Fatigue and fracture mechanics #Mathematical Physics (math-ph) #Numerical methods in engineering #Structural Health Monitoring Techniques
paper · pdf · doi:10.48550/arxiv.1705.07833
openalex publication_date 2017/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A semi-infinite crack loaded by a general asymmetric system of forces in an infinite bi-material plane is considered. A boundary integral formulation is derived using the fundamental reciprocal identity (Betti formula). The resulting singular integral equations link the applied loading and the full resulting crack displacement profile (not just the displacement jump across the crack). When used in conjunction with previously derived identities, the new identities allow for the full displacement profile to be derived from crack face loadings and vice versa.