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

Access to Document

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

Cite this

@inbook{b4f65f5114714204bb32d9ba0f0d2b9d,

title = "Numerical tools for improved convergence of meshfree peridynamic discretizations",

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.",

keywords = "Convergence, Dynamics, Influence functions, Meshfree discretization, Partial volumes, Peridynamics, Statics",

author = "Pablo Seleson and Littlewood, {David J.}",

year = "2019",

month = jan,

day = "10",

doi = "10.1007/978-3-319-58729-5_39",

language = "English",

isbn = "9783319587271",

pages = "1389--1415",

booktitle = "Handbook of Nonlocal Continuum Mechanics for Materials and Structures",

publisher = "Springer International Publishing",

}

TY - CHAP

T1 - Numerical tools for improved convergence of meshfree peridynamic discretizations

AU - Seleson, Pablo

AU - Littlewood, David J.

PY - 2019/1/10

Y1 - 2019/1/10

N2 - 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.

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.

KW - Convergence

KW - Dynamics

KW - Influence functions

KW - Meshfree discretization

KW - Partial volumes

KW - Peridynamics

KW - Statics

UR - http://www.scopus.com/inward/record.url?scp=85079581163&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-58729-5_39

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

M3 - Chapter

AN - SCOPUS:85079581163

SN - 9783319587271

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this