The book is devoted to the methods and results of the integral equations theory for elasticity
problems. It consists of two parts and appendix. The first part contains a survey of
mathematical topics necessary for understanding the main aspects of this course.The
mathematical background is presented within the first part in detail. The second part deals
with the most important results in the theory of boundary integral equations. It also discusses
some new aspects of this theory which have been suggested by the authors including the
following problems: the theory of elasticity for an anisotropic medium new type of integral
equations (Pobedria's type) contact problems fracture mechanics and Cosserat spectrum. The
applications in fracture mechanics go well beyond merely illustrating the methods: they yield
new results in some classical problems. This book is of interest to applied mechanicians
engineers mathematicians and students interested in boundary element method and its
applications.
