Aleyaasin M. Mechanics of finite deformation and fracture

CRC Press, Taylor & Francis Group, 2016, 275 p. – ISBN13: 978-1-4987-1702-1 (eBook - PDF).Finite deformations in material can occur with change of a geometry, such that the deformed shape may not resemble the initial shape. Analyzing these types of deformations needs particular a mathematical tool, which is always associated with tensor notations. In general the geometry may be non-orthogonal and we need to use covariant and contra-variant tensor concepts to express the finite deformations and the associated mechanical strains.
Moreover, it is obvious that in large deformations, there are several definitions for stress; each depends on the frame of the stress definitions. The constitutive equations in material also depends on the type of stress, which is introduced. In simulation of the material deformation, components of the deformation tensor will be transformed from one frame to another either in orthogonal or in non-orthogonal coordinate of geometry.
Part one of this book contains 16 sections that are arranged in five chapters (1–5) and discusses the above issues in detail. There are some exercises in each chapter to help the reader to accomplish the derivation of the formulas. Once all 16 sections studied, the reader can fully understand the key concepts in mechanics of finite deformation. For more details concerning particular types of deformation the reader may seek further information from the valuable references listed in the end of part one of the book. Having acquired the knowledge in part one enables the reader to understand the advanced books and research papers in this field very easily.
Part two of the book contains chapters 6-10 and can be studied independently, without any knowledge about part one and covers the theory of fracture in brittle and quasi-brittle material. Quasi-brittleness is referred to the situation in which plastic deformation is not large when fracture occurs. This means nonlinear fracture mechanics in not covered in this part of the book. However, the linear-elastic fracture mechanics and also elastic-plastic fracture mechanics are fully explained in this part of the book.