Efthymios S. Folias
Professor of Mechanics & Mathematics (emeritus)
Department of Mathematics
University of Utah
Ph.D. Aeronautics (Solid Mechanics), California Institute of Technology, 1963
M.S. Mathematics, University of New Hampshire, 1960
B.S. Electrical Engineering, University of New Hampshire, 1959
Professor of Mechanics & Mathematics (emeritus)
Department of Mathematics
University of Utah
Ph.D. Aeronautics (Solid Mechanics), California Institute of Technology, 1963
M.S. Mathematics, University of New Hampshire, 1960
B.S. Electrical Engineering, University of New Hampshire, 1959
New article (updated appendix)
E.S. Folias, “On the Structure of the 3D Stress Field and Its Singularity at the Vertex of a 3D Griffith Crack,”
(submitted to International Journal of Fracture, 2012) pp. 1-24. .pdf
Abstract: The author in this paper investigates the
analytical 3D stress field in the neighborhood of the intersection
of a crack and a free surface. Utilizing the form of a general 3D
solution, which the author constructed in a previous paper, he
recovers the explicit displacement and stress fields in this
neighborhood. The analysis shows the stresses to be proportional to
ρ^ (-1/2-2ν).