ABSTRACT

This handbook covers the peridynamic modeling of failure and damage. Peridynamics is a reformulation of continuum mechanics based on integration of interactions rather than spatial differentiation of displacements. The book extends the classical theory of continuum mechanics to allow unguided modeling of crack propagation/fracture in brittle, quasi-brittle, and ductile materials; autonomous transition from continuous damage/fragmentation to fracture; modeling of long-range forces within a continuous body; and multiscale coupling in a consistent mathematical framework.

part 1|2 pages

Part I: The Need for Nonlocal Modeling and Introduction to Peridynamics

chapter 1|22 pages

Why Peridynamics?

chapter 2|36 pages

Introduction to Peridynamics

part 2|2 pages

Part II: Mathematics, Numerics, and Software Tools of Peridynamics

part 3|2 pages

Part III: Material Models and Links to Atomistic Models

part 5|2 pages

Part V: Multiphysics and Multiscale Modeling