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Accurate analysis of fracture is of vital importance yet methods for effective 3D calculations are currently unsatisfactory. In this book, novel numerical techniques are developed which solve many of these problems. At the start of the book, various issues relating to the meshless methods in general are dealt with although the vision is always on the 3D fracture modelling. Studies are presented concerning the solution accuracy, error control, modified weak forms and implementation. In the latter part, a simple and efficient numerical framework is developed to overcome the difficulties in...

This book provides an overview of computational methods based on peridynamics and nonlocal operators and their application to challenging numerical problems which are difficult to deal with traditional methods such as the finite element method, material failure being “only” one of them. The authors have also developed a higher-order nonlocal operator approaches capable of solving higher-order partial differential equations on arbitrary domains in higher-dimensional space with ease. This book is of interest to those in academia and industry.