Refinement and scaling effects on peridynamic numerical solutions

Daniele Dipasquale; Erkan Oterkus; Giulia Sarego; Mirco Zaccariotto; Ugo Galvanetto

doi:10.1115/IMECE201667317

Refinement and scaling effects on peridynamic numerical solutions

Daniele Dipasquale
, Erkan Oterkus
, Giulia Sarego
, Mirco Zaccariotto
, Ugo Galvanetto

Civil Engineering

University of Padua

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

Abstract

One of the most common methods to implement peridynamics numerically is based on the discretization of the whole body by means of a structured and regular grid of nodes and a constant horizon size. That leads to an inefficient use of computational resources as well as to the impossibility to explore the multi-scale capabilities of peridynamics within a unique framework. Adaptive grid refinement and scaling seem to be a promising strategy to reduce those limitations, allowing to increase the resolution of the analysis and to reach the interested length-scale only in the desired regions. The application of such an approach in the peridynamic solutions requires certainly to be investigated, in particular, this is done by the comparison of numerical peridynamic solutions with the analytical solutions of classic linear elasticity theory.

Original language	English
Title of host publication	Advances in Aerospace Technology
Publisher	American Society of Mechanical Engineers (ASME)
ISBN (Electronic)	9780791850510
DOIs	https://doi.org/10.1115/IMECE201667317
State	Published - 2016
Event	ASME 2016 International Mechanical Engineering Congress and Exposition, IMECE 2016 - Phoenix, United States Duration: Nov 11 2016 → Nov 17 2016

Publication series

Name	ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
Volume	1

Conference

Conference	ASME 2016 International Mechanical Engineering Congress and Exposition, IMECE 2016
Country/Territory	United States
City	Phoenix
Period	11/11/16 → 11/17/16

Access to Document

10.1115/IMECE201667317

Cite this

Dipasquale, D., Oterkus, E., Sarego, G., Zaccariotto, M., & Galvanetto, U. (2016). Refinement and scaling effects on peridynamic numerical solutions. In Advances in Aerospace Technology (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE); Vol. 1). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/IMECE201667317

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title = "Refinement and scaling effects on peridynamic numerical solutions",

abstract = "One of the most common methods to implement peridynamics numerically is based on the discretization of the whole body by means of a structured and regular grid of nodes and a constant horizon size. That leads to an inefficient use of computational resources as well as to the impossibility to explore the multi-scale capabilities of peridynamics within a unique framework. Adaptive grid refinement and scaling seem to be a promising strategy to reduce those limitations, allowing to increase the resolution of the analysis and to reach the interested length-scale only in the desired regions. The application of such an approach in the peridynamic solutions requires certainly to be investigated, in particular, this is done by the comparison of numerical peridynamic solutions with the analytical solutions of classic linear elasticity theory.",

author = "Daniele Dipasquale and Erkan Oterkus and Giulia Sarego and Mirco Zaccariotto and Ugo Galvanetto",

note = "Publisher Copyright: Copyright {\textcopyright} 2016 by ASME.; ASME 2016 International Mechanical Engineering Congress and Exposition, IMECE 2016 ; Conference date: 11-11-2016 Through 17-11-2016",

year = "2016",

doi = "10.1115/IMECE201667317",

language = "English",

series = "ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)",

publisher = "American Society of Mechanical Engineers (ASME)",

booktitle = "Advances in Aerospace Technology",

}

Dipasquale, D, Oterkus, E, Sarego, G, Zaccariotto, M & Galvanetto, U 2016, Refinement and scaling effects on peridynamic numerical solutions. in Advances in Aerospace Technology. ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), vol. 1, American Society of Mechanical Engineers (ASME), ASME 2016 International Mechanical Engineering Congress and Exposition, IMECE 2016, Phoenix, United States, 11/11/16. https://doi.org/10.1115/IMECE201667317

Refinement and scaling effects on peridynamic numerical solutions. / Dipasquale, Daniele; Oterkus, Erkan; Sarego, Giulia et al.
Advances in Aerospace Technology. American Society of Mechanical Engineers (ASME), 2016. (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE); Vol. 1).

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

TY - GEN

T1 - Refinement and scaling effects on peridynamic numerical solutions

AU - Dipasquale, Daniele

AU - Oterkus, Erkan

AU - Sarego, Giulia

AU - Zaccariotto, Mirco

AU - Galvanetto, Ugo

PY - 2016

Y1 - 2016

N2 - One of the most common methods to implement peridynamics numerically is based on the discretization of the whole body by means of a structured and regular grid of nodes and a constant horizon size. That leads to an inefficient use of computational resources as well as to the impossibility to explore the multi-scale capabilities of peridynamics within a unique framework. Adaptive grid refinement and scaling seem to be a promising strategy to reduce those limitations, allowing to increase the resolution of the analysis and to reach the interested length-scale only in the desired regions. The application of such an approach in the peridynamic solutions requires certainly to be investigated, in particular, this is done by the comparison of numerical peridynamic solutions with the analytical solutions of classic linear elasticity theory.

AB - One of the most common methods to implement peridynamics numerically is based on the discretization of the whole body by means of a structured and regular grid of nodes and a constant horizon size. That leads to an inefficient use of computational resources as well as to the impossibility to explore the multi-scale capabilities of peridynamics within a unique framework. Adaptive grid refinement and scaling seem to be a promising strategy to reduce those limitations, allowing to increase the resolution of the analysis and to reach the interested length-scale only in the desired regions. The application of such an approach in the peridynamic solutions requires certainly to be investigated, in particular, this is done by the comparison of numerical peridynamic solutions with the analytical solutions of classic linear elasticity theory.

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DO - 10.1115/IMECE201667317

M3 - Conference contribution

AN - SCOPUS:85021631532

T3 - ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)

BT - Advances in Aerospace Technology

PB - American Society of Mechanical Engineers (ASME)

T2 - ASME 2016 International Mechanical Engineering Congress and Exposition, IMECE 2016

Y2 - 11 November 2016 through 17 November 2016

ER -

Refinement and scaling effects on peridynamic numerical solutions

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