A new approach to the construction of some path-independent integrals about crack tips

• Main Author: Ioakimidis, Nikolaos
• Other Authors: Ιωακειμίδης, Νικόλαος
• Format: Technical Report
• Language: English
• Published: 2018
• Subjects: Path-independent integrals; Plane isotropic elasticity; Plane anisotropic elasticity; Fracture mechanics; Straight cracks; Circular-arc-shaped cracks; Complex potentials of Kolosov–Muskhelishvili; Holomorphic functions; Cauchy theorem; Boundary conditions; Ολοκληρώματα ανεξάρτητα του δρόμου ολοκληρώσεως; Επίπεδη ισότροπη ελαστικότητα; Επίπεδη ανισότροπη ελαστικότητα; Θραυστομηχανική; Ευθύγραμμες ρωγμές; Ρωγμές σχήματος κυκλικού τόξου; Μιγαδικά δυναμικά των Kolosov–Muskhelishvili; Ολόμορφες συναρτήσεις; Θεώρημα του Cauchy; Συνοριακές συνθήκες

A new method, based on the complex potentials of Kolosov–Muskhelishvili and Cauchy's theorem in complex analysis, is applied to the establishment of path-independence of some integrals along a curve surrounding the tip of a crack in plane isotropic or anisotropic elasticity. The cases considere...