Utilization of peridynamic theory for modeling at the nano-scale

E. Oterkus; C. Diyaroglu; N. Zhu; Selda Oterkus; E. Madenci

doi:10.1007/978-3-319-21194-7

Utilization of peridynamic theory for modeling at the nano-scale

E. Oterkus, C. Diyaroglu, N. Zhu, Selda Oterkus, E. Madenci

Naval Architecture, Ocean And Marine Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

Peridynamic theory is a new continuum mechanics formulation that has several advantages over the traditional approaches, such as Classical Continuum Mechanics (CCM) and Molecular Dynamics (MD). Due to its length-scale parameter, horizon, it is capable of capturing phenomena occurring at different length scales, including the nano-scale. Furthermore, van der Waals forces can be represented in a straightforward manner using a buffer-layer approach. In this chapter, various demonstration problems are presented to show the capability of peridynamics at the nano-scale, including nano-indentation and failure analysis of graphene sheets.

Original language	English
Title of host publication	Nanopackaging: From Nanomaterials to the Atomic Scale
Subtitle of host publication	Proceedings of the 1st International Workshop on Nanopackaging, Grenoble 27-28 June 2013
Editors	Xavier Baillin, Christian Joachim, Gilles Poupon
Publisher	Springer
Pages	1-16
Number of pages	16
ISBN (Print)	9783319211930
DOIs	https://doi.org/10.1007/978-3-319-21194-7
Publication status	Published - 6 Aug 2015
Event	1st International Workshop on Nanopackaging - Grenoble, France Duration: 27 Jun 2013 → 28 Jun 2013

Publication series

Name	Advances in atom and single molecule machines
ISSN (Print)	2193-9691

Workshop

Workshop	1st International Workshop on Nanopackaging
Country	France
City	Grenoble
Period	27/06/13 → 28/06/13

Keywords

peridynamic theory
continuum mechanics
nano-scale

Access to Document

10.1007/978-3-319-21194-7

Fingerprint Dive into the research topics of 'Utilization of peridynamic theory for modeling at the nano-scale'. Together they form a unique fingerprint.

Cite this

Oterkus, E., Diyaroglu, C., Zhu, N., Oterkus, S., & Madenci, E. (2015). Utilization of peridynamic theory for modeling at the nano-scale. In X. Baillin, C. Joachim, & G. Poupon (Eds.), Nanopackaging: From Nanomaterials to the Atomic Scale: Proceedings of the 1st International Workshop on Nanopackaging, Grenoble 27-28 June 2013 (pp. 1-16). (Advances in atom and single molecule machines). Springer. https://doi.org/10.1007/978-3-319-21194-7

Oterkus, E. ; Diyaroglu, C. ; Zhu, N. ; Oterkus, Selda ; Madenci, E. / Utilization of peridynamic theory for modeling at the nano-scale. Nanopackaging: From Nanomaterials to the Atomic Scale: Proceedings of the 1st International Workshop on Nanopackaging, Grenoble 27-28 June 2013. editor / Xavier Baillin ; Christian Joachim ; Gilles Poupon. Springer, 2015. pp. 1-16 (Advances in atom and single molecule machines).

@inbook{04f0dcb23e004038b10aac867bf31164,

title = "Utilization of peridynamic theory for modeling at the nano-scale",

abstract = "Peridynamic theory is a new continuum mechanics formulation that has several advantages over the traditional approaches, such as Classical Continuum Mechanics (CCM) and Molecular Dynamics (MD). Due to its length-scale parameter, horizon, it is capable of capturing phenomena occurring at different length scales, including the nano-scale. Furthermore, van der Waals forces can be represented in a straightforward manner using a buffer-layer approach. In this chapter, various demonstration problems are presented to show the capability of peridynamics at the nano-scale, including nano-indentation and failure analysis of graphene sheets.",

keywords = "peridynamic theory, continuum mechanics, nano-scale",

author = "E. Oterkus and C. Diyaroglu and N. Zhu and Selda Oterkus and E. Madenci",

year = "2015",

month = aug,

day = "6",

doi = "10.1007/978-3-319-21194-7",

language = "English",

isbn = "9783319211930",

series = "Advances in atom and single molecule machines",

publisher = "Springer",

pages = "1--16",

editor = "Xavier Baillin and Christian Joachim and Gilles Poupon",

booktitle = "Nanopackaging: From Nanomaterials to the Atomic Scale",

note = "1st International Workshop on Nanopackaging ; Conference date: 27-06-2013 Through 28-06-2013",

}

Oterkus, E, Diyaroglu, C, Zhu, N , Oterkus, S & Madenci, E 2015, Utilization of peridynamic theory for modeling at the nano-scale. in X Baillin, C Joachim & G Poupon (eds), Nanopackaging: From Nanomaterials to the Atomic Scale: Proceedings of the 1st International Workshop on Nanopackaging, Grenoble 27-28 June 2013. Advances in atom and single molecule machines, Springer, pp. 1-16, 1st International Workshop on Nanopackaging, Grenoble, France, 27/06/13. https://doi.org/10.1007/978-3-319-21194-7

Utilization of peridynamic theory for modeling at the nano-scale. / Oterkus, E.; Diyaroglu, C.; Zhu, N.; Oterkus, Selda; Madenci, E.

Nanopackaging: From Nanomaterials to the Atomic Scale: Proceedings of the 1st International Workshop on Nanopackaging, Grenoble 27-28 June 2013. ed. / Xavier Baillin; Christian Joachim; Gilles Poupon. Springer, 2015. p. 1-16 (Advances in atom and single molecule machines).

Research output: Chapter in Book/Report/Conference proceeding › Chapter

TY - CHAP

T1 - Utilization of peridynamic theory for modeling at the nano-scale

AU - Oterkus, E.

AU - Diyaroglu, C.

AU - Zhu, N.

AU - Oterkus, Selda

AU - Madenci, E.

PY - 2015/8/6

Y1 - 2015/8/6

N2 - Peridynamic theory is a new continuum mechanics formulation that has several advantages over the traditional approaches, such as Classical Continuum Mechanics (CCM) and Molecular Dynamics (MD). Due to its length-scale parameter, horizon, it is capable of capturing phenomena occurring at different length scales, including the nano-scale. Furthermore, van der Waals forces can be represented in a straightforward manner using a buffer-layer approach. In this chapter, various demonstration problems are presented to show the capability of peridynamics at the nano-scale, including nano-indentation and failure analysis of graphene sheets.

AB - Peridynamic theory is a new continuum mechanics formulation that has several advantages over the traditional approaches, such as Classical Continuum Mechanics (CCM) and Molecular Dynamics (MD). Due to its length-scale parameter, horizon, it is capable of capturing phenomena occurring at different length scales, including the nano-scale. Furthermore, van der Waals forces can be represented in a straightforward manner using a buffer-layer approach. In this chapter, various demonstration problems are presented to show the capability of peridynamics at the nano-scale, including nano-indentation and failure analysis of graphene sheets.

KW - peridynamic theory

KW - continuum mechanics

KW - nano-scale

UR - http://dx.doi.org/10.1007/978-3-319-21194-7

UR - http://www.springer.com

U2 - 10.1007/978-3-319-21194-7

DO - 10.1007/978-3-319-21194-7

M3 - Chapter

SN - 9783319211930

T3 - Advances in atom and single molecule machines

SP - 1

EP - 16

BT - Nanopackaging: From Nanomaterials to the Atomic Scale

A2 - Baillin, Xavier

A2 - Joachim, Christian

A2 - Poupon, Gilles

PB - Springer

T2 - 1st International Workshop on Nanopackaging

Y2 - 27 June 2013 through 28 June 2013

ER -

Oterkus E, Diyaroglu C, Zhu N , Oterkus S, Madenci E. Utilization of peridynamic theory for modeling at the nano-scale. In Baillin X, Joachim C, Poupon G, editors, Nanopackaging: From Nanomaterials to the Atomic Scale: Proceedings of the 1st International Workshop on Nanopackaging, Grenoble 27-28 June 2013. Springer. 2015. p. 1-16. (Advances in atom and single molecule machines). https://doi.org/10.1007/978-3-319-21194-7