Peridynamic Differential Operator for Numerical Analysis

This book introduces the peridynamic (PD) differential operator, which enables the nonlocal form of local differentiation. PD is a bridge between differentiation and integration. It provides the computational solution of complex field equations and evaluation of derivatives of smooth or scattered da...

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Bibliographic Details
Main Authors: Madenci, Erdogan (Author), Barut, Atila (Author), Dorduncu, Mehmet (Author)
Corporate Author: SpringerLink (Online service)
Format: e-Book
Language:English
Published: Cham : Springer International Publishing : 2019.
Imprint: Springer,
Edition:1st ed. 2019.
Subjects:
Mechanics, Applied.
Solids.
Materials > Analysis.
Mathematics > Data processing.
Solid Mechanics.
Characterization and Analytical Technique.
Computational Science and Engineering.
Online Access:Full-text access
Table of Contents:
  • 1 Introduction
  • 2 Peridynamic Differential Operator
  • 3 Numerical Implementation
  • 4 Interpolation, Regression and Smoothing
  • 5 Ordinary Differential Equations
  • 6 Partial Differential Equations
  • 7 Coupled Field Equations
  • 8 Integro-Differential Equations
  • 9 Weak Form of Peridynamics
  • 10 Peridynamic Least Squares Minimization. .

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