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Peridynamics and Its Applications Using Ansys / by Erdogan Madenci, Sundaram Vinod Kumar Anicode, Yanan Zhang.

Springer Nature - Springer Physics and Astronomy eBooks 2024 English International Available online

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Format:
Book
Author/Creator:
Madenci, Erdogan, author.
Anicode, Sundaram Vinod Kumar, author.
Zhang, Yanan, author.
Language:
English
Subjects (All):
Continuum mechanics.
Differential equations.
Mathematical physics.
Computer simulation.
Continuum Mechanics.
Differential Equations.
Computational Physics and Simulations.
Computer Modelling.
Local Subjects:
Continuum Mechanics.
Differential Equations.
Computational Physics and Simulations.
Computer Modelling.
Physical Description:
1 online resource (498 pages)
Edition:
1st ed. 2024.
Place of Publication:
Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
Summary:
This book introduces a unified implementation of bond- and state-based peridynamic theory (PD) within a commercial finite element framework, Ansys, utilizing its native elements. It details the implementation of the PD theory and its integration with traditional finite elements. The primary objective is to equip students, researchers, and practicing engineers with both theoretical and practical knowledge of the PD theory, along with the skills necessary for analyzing engineering problems using Ansys. The book demonstrates that, unlike the conventional finite element method (FEM), the PD theory is highly suitable for progressive failure analysis, the multi-scale analysis of materials involving fracture and failure, and multi-physics analysis, including electromigration, corrosion, and electrodeposition. Additionally, it provides a step-by-step illustration of the specific procedures in the pre-processing, solution, and post-processing phases of the analysis through the Graphical User Interface (GUI) for various applications. The book is designed to be introductory and self-contained, minimizing the need for additional reference material. Describes an implementation of PD theory and its coupling to finite element method in Ansys, using its native elements; Utilization of Ansys through both the Graphics User Interface (GUI) and the Ansys Parametric Design Language (APDL); Explains the process for solving problems in various applications with the Ansys GUI, includes Ansys input files.
Contents:
Chapter 1 Peridynamic theory
Chapter 2 Peridynamic differential operator
Chapter 3 Unified peridynamic approach
Chapter 4 Weak form of peridynamic equilibrium and field equations
Chapter 5 Coupling of peridynamics with finite elements
Chapter 6 Coupled peridynamic and finite element analysis in the presence of initial strain
Chapter 7 Peridynamics for multiphysics analysis
Chapter 8 Ansys elements for peridynamic interactions
Chapter 9 Ansys Menus for PD analysis
Chapter 10 Implementation of PDDO in Ansys framework
Chapter 11 Applications of field equations
Chapter 12 Applications of peridynamics for static structural analysis
Chapter 13 Coupled peridynamics and finite element method for static and transient structural analysis
Chapter 14 Applications of coupled field equations
Chapter 15 Peridynamics for failure prediction.
Notes:
Includes bibliographical references and index.
Other Format:
Print version: Madenci, Erdogan Peridynamics and Its Applications Using Ansys
ISBN:
9783031598968

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