This book presents an analysis of eight non-classical problems of fracture and failure mechanics mainly obtained by research in the department of dynamics and stability of continuum of the S. P. Timoshenko Institute of Mechanics of the National Academy of Sciences of Ukraine (NAS of Ukraine). It focusses on the application of the 3D (three-dimensional) theories of stability, dynamics, and statics of solid mechanics to the investigation of non-classical problems of fracture and failure mechanics.

A.N.Guz is Director of the S. P. Timoshenko Institute of Mechanics of the NASU, Ukraine. His principal scientific results have been obtained in mechanics of deformable solids and related problems of continuum mechanics: the three-dimensional theory of stability of deformable bodies, the theory of propagation and diffraction of elastic waves in multi-connected bodies and bodies with initial stresses, stress concentration around holes in shells, mechanics of composites materials and structural members utilizing them, aerohydroelasticity, non-classical problems of fracture mechanics, rock mechanics, dynamics of viscous compressible liquid, contact problems, and mechanics of nanocomposites and non-destructive methods of stress determination.

Part I. General problems.- Chapter 1. Division into classical and non-classical problems

of fracture mechanics.- Chapter 2. Brief statement of foundations of three-dimensional linearized theory of the deformable bodies stability (TLTDBS).- Part II. Fracture in composite materials under compression.- Chapter 3. Problem 1. Fracture in composite materials under compression along the reinforcing elements.- CHAPTER 4. Problem 2. Model of short fibers in theory of stability and f racture mechanics of composite materials under compression.- Chapter 5. Problem 3. End-crush fracture of composite materials under compression.