Numerical tools for improved convergence of meshfree peridynamic discretizations

Pablo Seleson; David J. Littlewood

doi:10.1007/978-3-319-58729-5_39

Numerical tools for improved convergence of meshfree peridynamic discretizations

Pablo Seleson
, David J. Littlewood

Multiscale Methods

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

Peridynamic models have been employed to simulate a broad range of engineering applications concerning material failure and damage, with the majority of these simulations using a meshfree discretization. This chapter reviews that meshfree discretization, related issues present in peridynamic convergence studies, and possible remedies proposed in the literature. In particular, we discuss two numerical tools, partial-volume algorithms and influence functions, to improve the convergence behavior of numerical solutions in peridynamics. Numerical studies in this chapter involve static and dynamic simulations for linear elastic state-based peridynamic problems.

Original language	English
Title of host publication	Handbook of Nonlocal Continuum Mechanics for Materials and Structures
Publisher	Springer International Publishing
Pages	1389-1415
Number of pages	27
ISBN (Electronic)	9783319587295
ISBN (Print)	9783319587271
DOIs	https://doi.org/10.1007/978-3-319-58729-5_39
State	Published - Jan 10 2019

Keywords

Convergence
Dynamics
Influence functions
Meshfree discretization
Partial volumes
Peridynamics
Statics

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10.1007/978-3-319-58729-5_39

Cite this

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AB - Peridynamic models have been employed to simulate a broad range of engineering applications concerning material failure and damage, with the majority of these simulations using a meshfree discretization. This chapter reviews that meshfree discretization, related issues present in peridynamic convergence studies, and possible remedies proposed in the literature. In particular, we discuss two numerical tools, partial-volume algorithms and influence functions, to improve the convergence behavior of numerical solutions in peridynamics. Numerical studies in this chapter involve static and dynamic simulations for linear elastic state-based peridynamic problems.

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KW - Dynamics

KW - Influence functions

KW - Meshfree discretization

KW - Partial volumes

KW - Peridynamics

KW - Statics

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SP - 1389

EP - 1415

BT - Handbook of Nonlocal Continuum Mechanics for Materials and Structures

PB - Springer International Publishing

ER -

Numerical tools for improved convergence of meshfree peridynamic discretizations

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Keywords

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