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This book presents the peridynamic theory, which provides the capability for improved modeling of progressive failure in materials and structures, and paves the way for addressing multi-physics and multi-scale problems. The book provides students and researchers with a theoretical and practical knowledge of the peridynamic theory and the skills required to analyze engineering problems. The text may be used in courses such as Multi-physics and Multi-scale Analysis, Nonlocal Computational Mechanics, and Computational Damage Prediction. Sample algorithms for the solution of benchmark problems are available so that the reader can modify these algorithms, and develop their own solution algorithms for specific problems. Students and researchers will find this book an essential and invaluable reference on the topic.
List of contents
Introduction.- Peridynamic Theory.- Peridynamics for Local Interactions.- Peridynamics for Isotropic Materials.- Peridynamics for Laminated Composite Materials.- Damage Prediction.- Numerical Solution Methods.- Benchmark Problems.- Nonimpact Problems.- Impact Problems.- Coupling of the Peridynamic Theory and Finite Element Methods.- Peridynamic Thermal Diffusion.- Fully Coupled Peridynamic Thermomechanics.
Summary
This book presents the peridynamic theory, which provides the capability for improved modeling of progressive failure in materials and structures, and paves the way for addressing multi-physics and multi-scale problems. The book provides students and researchers with a theoretical and practical knowledge of the peridynamic theory and the skills required to analyze engineering problems. The text may be used in courses such as Multi-physics and Multi-scale Analysis, Nonlocal Computational Mechanics, and Computational Damage Prediction. Sample algorithms for the solution of benchmark problems are available so that the reader can modify these algorithms, and develop their own solution algorithms for specific problems. Students and researchers will find this book an essential and invaluable reference on the topic.
Additional text
From the book reviews:
“The book is very interesting from the methodical viewpoint, presenting a comparatively new theory of solid mechanics, accompanying the text by many examples, which can be useful to students studying the novel approaches to solid mechanics and related topics, and also to their teachers preparing lectures and practical works.” (I. A. Parinov, zbMATH, Vol. 1295, 2014)
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From the book reviews:
"The book is very interesting from the methodical viewpoint, presenting a comparatively new theory of solid mechanics, accompanying the text by many examples, which can be useful to students studying the novel approaches to solid mechanics and related topics, and also to their teachers preparing lectures and practical works." (I. A. Parinov, zbMATH, Vol. 1295, 2014)
