@article{e622ac65a4f049aa982b9566787a769b,
title = "Asymptotic analysis of the potential energy difference because of a crack at a V-notch edge in a 3D domain",
abstract = "The difference in the potential energy in an elastic three-dimensional domain with a V-notch with and without a small crack (δΠ) under a general mixed mode I. +. II. +. III loading is provided as an asymptotic series. It involves the V-notch edge stress intensity functions, the area of the formed crack, and special geometrical functions that can be pre-computed and tabulated. Importantly, the stress intensity functions along the crack front and the solution for the V-notched domain with the presence of the crack are un-necessary. The analytical formulation is verified by finite element methods, demonstrating the accuracy of the obtained expressions.",
keywords = "3D singularities, Edge stress intensity functions, Potential energy, V-notch",
author = "Brigit Mittelman and Zohar Yosibash",
note = "Publisher Copyright: {\textcopyright} 2014 Elsevier Ltd.",
year = "2014",
month = aug,
day = "9",
doi = "10.1016/j.engfracmech.2014.07.031",
language = "אנגלית",
volume = "131",
pages = "131--136",
journal = "Engineering Fracture Mechanics",
issn = "0013-7944",
publisher = "Elsevier BV",
}