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Materials - Mechanics | Peridynamic Theory and Its Applications

Peridynamic Theory and Its Applications

Madenci, Erdogan, Oterkus, Erkan

2014, XII, 289 p. 152 illus.

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  • Introduces a new theory to advance in the analysis of existing and new structures and materials
  • Provides sample algorithms for students, as well as researchers, to self-study and discover their own solutions to problems
  • Provides a comprehensive introduction to this emerging method and is suitable for graduate courses

The peridynamic theory provides the capability for improved modeling of progressive failure in materials and structures, paving the way to address multi-physics and multi-scale problems. Because it is based on concepts not commonly used in the past, the purpose of this book is to explain the peridynamic theory in a single framework. It presents not only the theoretical basis but also its numerical implementation.


The book begins with an overview of the peridynamic theory and derivation of its governing equations. The relationship between peridynamics and classical continuum mechanics is established, and this leads to the ordinary state-based peridynamics formulations for both isotropic and composite materials. Numerical treatments of the peridynamic equations are presented in detail along with solutions to many benchmark and demonstration problems. In order to take advantage of salient features of peridynamics and the finite element method, a coupling technique is also described. Finally, an extension of the peridynamic theory for thermal diffusion and fully coupled thermomechanics is presented with applications.


Students and researchers alike will find this book an essential and invaluable reference on the topic.  It offers both theoretical and practical knowledge of the peridynamic theory and 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 at http://extras.springer.com for researchers and graduate students, who can modify these algorithms and develop their own solution algorithms for specific problems.

Content Level » Graduate

Keywords » Adaptive Dynamic Relaxation - Balance Laws - Damage Prediction - Equations of Motion - Failure Prediction - Finite Element Method - Force Density - Numerical Solution Method - Numerical Stability - Peridynamic Parameters - Peridynamic Theory - Spatial Discretization - Strain Energy Density - Thermomechanics

Related subjects » Mechanical Engineering - Mechanics - Structural Materials

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