Stiffness and strength of hierarchical polycrystalline materials with imperfect interfaces

Marco Paggi; Peter Wriggers

Stiffness and strength of hierarchical polycrystalline materials with imperfect interfaces

Marco Paggi^*, Peter Wriggers

^*Korrespondierende*r Autor*in für diese Arbeit

Institut für Kontinuumsmechanik

Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Aufsatz in Konferenzband › Forschung › Peer-Review

Abstract

In this paper, considering a cohesive zone model (CZM) for finite thickness interfaces recently proposed by the authors, the stiffness of polycrystalline materials with imperfect interfaces is characterized. Generalized expressions for the Voigt and Reuss estimates of the effective elastic modulus of the composite are derived to interpret the numerical results. Considering a polycrystalline material with a hierarchical microstructure, the interaction between interfaces at the different hierarchical levels is numerically investigated. A condition for scale separation, which suggests how to design the optimal microstructure to maximize the material tensile strength is determined. An original interpretation of this phenomenon based on the concept of flaw tolerance is finally proposed.

Originalsprache	Englisch
Titel des Sammelwerks	Computational Plasticity XI
Untertitel	fundamentals and applications ; volumen containing the full length papers accepted for presentation at the "XI International Conference on Computational Plasticity. Fundamentals and Applications", Barcelona, Spain, 07 - 09 September 2011
Herausgeber/-innen	E. Oñate, D.R.J. Owen, D. Peric, B. Suárez
Herausgeber (Verlag)	International Centre for Numerical Methods in Engineering, CIMNE
Seiten	1082-1091
Seitenumfang	10
Auflage	First edition
ISBN (Print)	9788489925731
Publikationsstatus	Veröffentlicht - Dez. 2011
Veranstaltung	11th International Conference on Computational Plasticity, COMPLAS XI - Barcelona, Spanien Dauer: 7 Sept. 2011 → 9 Sept. 2011

Konferenz

Konferenz	11th International Conference on Computational Plasticity, COMPLAS XI
Land/Gebiet	Spanien
Ort	Barcelona
Zeitraum	7 Sept. 2011 → 9 Sept. 2011

ASJC Scopus Sachgebiete

Polymere und Kunststoffe

Zugriff auf Dokument

http://hdl.handle.net/2117/184143Lizenz: Nicht angegeben
http://edok01.tib.uni-hannover.de/edoks/e01mr01/805295720.pdfLizenz: Sonstige

Andere Dateien und Links

Verknüpfung zur Publikation in Scopus

Dieses zitieren

Paggi, M., & Wriggers, P. (2011). Stiffness and strength of hierarchical polycrystalline materials with imperfect interfaces. in E. Oñate, D. R. J. Owen, D. Peric, & B. Suárez (Hrsg.), Computational Plasticity XI: fundamentals and applications ; volumen containing the full length papers accepted for presentation at the "XI International Conference on Computational Plasticity. Fundamentals and Applications", Barcelona, Spain, 07 - 09 September 2011 (First edition Aufl., S. 1082-1091). International Centre for Numerical Methods in Engineering, CIMNE. http://hdl.handle.net/2117/184143

Paggi, Marco ; Wriggers, Peter. / Stiffness and strength of hierarchical polycrystalline materials with imperfect interfaces. Computational Plasticity XI: fundamentals and applications ; volumen containing the full length papers accepted for presentation at the "XI International Conference on Computational Plasticity. Fundamentals and Applications", Barcelona, Spain, 07 - 09 September 2011. Hrsg. / E. Oñate ; D.R.J. Owen ; D. Peric ; B. Suárez. First edition. Aufl. International Centre for Numerical Methods in Engineering, CIMNE, 2011. S. 1082-1091

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title = "Stiffness and strength of hierarchical polycrystalline materials with imperfect interfaces",

abstract = "In this paper, considering a cohesive zone model (CZM) for finite thickness interfaces recently proposed by the authors, the stiffness of polycrystalline materials with imperfect interfaces is characterized. Generalized expressions for the Voigt and Reuss estimates of the effective elastic modulus of the composite are derived to interpret the numerical results. Considering a polycrystalline material with a hierarchical microstructure, the interaction between interfaces at the different hierarchical levels is numerically investigated. A condition for scale separation, which suggests how to design the optimal microstructure to maximize the material tensile strength is determined. An original interpretation of this phenomenon based on the concept of flaw tolerance is finally proposed.",

keywords = "Cohesive zone models, Finite element method, Hierarchical materials, Imperfect interfaces, Polycrystalline materials",

author = "Marco Paggi and Peter Wriggers",

year = "2011",

month = dec,

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pages = "1082--1091",

editor = "E. O{\~n}ate and D.R.J. Owen and D. Peric and B. Su{\'a}rez",

booktitle = "Computational Plasticity XI",

publisher = "International Centre for Numerical Methods in Engineering, CIMNE",

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Paggi, M & Wriggers, P 2011, Stiffness and strength of hierarchical polycrystalline materials with imperfect interfaces. in E Oñate, DRJ Owen, D Peric & B Suárez (Hrsg.), Computational Plasticity XI: fundamentals and applications ; volumen containing the full length papers accepted for presentation at the "XI International Conference on Computational Plasticity. Fundamentals and Applications", Barcelona, Spain, 07 - 09 September 2011. First edition Aufl., International Centre for Numerical Methods in Engineering, CIMNE, S. 1082-1091, 11th International Conference on Computational Plasticity, COMPLAS XI, Barcelona, Spanien, 7 Sept. 2011. <http://hdl.handle.net/2117/184143>

Stiffness and strength of hierarchical polycrystalline materials with imperfect interfaces. / Paggi, Marco; Wriggers, Peter.
Computational Plasticity XI: fundamentals and applications ; volumen containing the full length papers accepted for presentation at the "XI International Conference on Computational Plasticity. Fundamentals and Applications", Barcelona, Spain, 07 - 09 September 2011. Hrsg. / E. Oñate; D.R.J. Owen; D. Peric; B. Suárez. First edition. Aufl. International Centre for Numerical Methods in Engineering, CIMNE, 2011. S. 1082-1091.

Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Aufsatz in Konferenzband › Forschung › Peer-Review

TY - GEN

T1 - Stiffness and strength of hierarchical polycrystalline materials with imperfect interfaces

AU - Paggi, Marco

AU - Wriggers, Peter

PY - 2011/12

Y1 - 2011/12

N2 - In this paper, considering a cohesive zone model (CZM) for finite thickness interfaces recently proposed by the authors, the stiffness of polycrystalline materials with imperfect interfaces is characterized. Generalized expressions for the Voigt and Reuss estimates of the effective elastic modulus of the composite are derived to interpret the numerical results. Considering a polycrystalline material with a hierarchical microstructure, the interaction between interfaces at the different hierarchical levels is numerically investigated. A condition for scale separation, which suggests how to design the optimal microstructure to maximize the material tensile strength is determined. An original interpretation of this phenomenon based on the concept of flaw tolerance is finally proposed.

AB - In this paper, considering a cohesive zone model (CZM) for finite thickness interfaces recently proposed by the authors, the stiffness of polycrystalline materials with imperfect interfaces is characterized. Generalized expressions for the Voigt and Reuss estimates of the effective elastic modulus of the composite are derived to interpret the numerical results. Considering a polycrystalline material with a hierarchical microstructure, the interaction between interfaces at the different hierarchical levels is numerically investigated. A condition for scale separation, which suggests how to design the optimal microstructure to maximize the material tensile strength is determined. An original interpretation of this phenomenon based on the concept of flaw tolerance is finally proposed.

KW - Cohesive zone models

KW - Finite element method

KW - Hierarchical materials

KW - Imperfect interfaces

KW - Polycrystalline materials

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M3 - Conference contribution

SN - 9788489925731

SP - 1082

EP - 1091

BT - Computational Plasticity XI

A2 - Oñate, E.

A2 - Owen, D.R.J.

A2 - Peric, D.

A2 - Suárez, B.

PB - International Centre for Numerical Methods in Engineering, CIMNE

T2 - 11th International Conference on Computational Plasticity, COMPLAS XI

Y2 - 7 September 2011 through 9 September 2011

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Paggi M, Wriggers P. Stiffness and strength of hierarchical polycrystalline materials with imperfect interfaces. in Oñate E, Owen DRJ, Peric D, Suárez B, Hrsg., Computational Plasticity XI: fundamentals and applications ; volumen containing the full length papers accepted for presentation at the "XI International Conference on Computational Plasticity. Fundamentals and Applications", Barcelona, Spain, 07 - 09 September 2011. First edition Aufl. International Centre for Numerical Methods in Engineering, CIMNE. 2011. S. 1082-1091