The mathematical theory of obstacle problems has been extensively researched over the last years. The obstacle problem is a typical example of the elliptic variational inequality. Many important problems, such as the torsion of an elastic-plastic cylinder, the Stefan problem can be formulated by transformation to an obstacle problem....

This book, “Probabilistic Fatigue Life Analysis Methods for Aerospace Vehicles”, is submitted by Yu Chee Tong to the School of Aerospace, Mechanical, and Mechatronics Engineering at the University of Sydney for the fulfillment of requirements for the degree of Doctor of Philosophy....