On modeling and analysis of effective properties of Carbon Nanotubes Reinforced Materials

Lidiia Nazarenko; Henryk Stolarski; Holm Altenbach

doi:10.1016/j.compstruct.2018.01.027

On modeling and analysis of effective properties of Carbon Nanotubes Reinforced Materials

Lidiia Nazarenko, Henryk Stolarski, Holm Altenbach

Civil, Environmental, and Geo- Engineering

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

Two new aspects related to analysis of Carbon Nanotubes Reinforced Materials (CNTRM) are emphasized in this work. First, a modeling methodology allowing for presence of interphases is proposed. Second, the physically expected dominance of the axial stiffness of Carbon nanotubes (CNT) on the effective properties of CNTRM is demonstrated by purposefully selected numerical experiments. In the proposed model the Gutrin-Murdoch theory is applied to a hollow cylinder of finite thickness and combined with the notion of energy equivalence to replace CNT with an equivalent solid cylinder. The interphase – modeled as a spring layer – is subsequently added to obtain another equivalent solid cylinder. Effective properties of CNRTM are evaluated using the Method of Conditional Moments.

Original language	English (US)
Pages (from-to)	718-727
Number of pages	10
Journal	Composite Structures
Volume	189
DOIs	https://doi.org/10.1016/j.compstruct.2018.01.027
State	Published - Apr 1 2018

Bibliographical note

Funding Information:
LN and HS gratefully acknowledge the financial support by the German Research Foundation (DFG) via Projects NA1203/1-1 and NA1203/1-2.

Publisher Copyright:
© 2018 Elsevier Ltd

Keywords

A. Nano-structures
B. Interface/interphase
C. Micro-mechanics
C. Statistical properties/methods
Carbon nanotubes
Gurtin-Murdoch surface model

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10.1016/j.compstruct.2018.01.027

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title = "On modeling and analysis of effective properties of Carbon Nanotubes Reinforced Materials",

abstract = "Two new aspects related to analysis of Carbon Nanotubes Reinforced Materials (CNTRM) are emphasized in this work. First, a modeling methodology allowing for presence of interphases is proposed. Second, the physically expected dominance of the axial stiffness of Carbon nanotubes (CNT) on the effective properties of CNTRM is demonstrated by purposefully selected numerical experiments. In the proposed model the Gutrin-Murdoch theory is applied to a hollow cylinder of finite thickness and combined with the notion of energy equivalence to replace CNT with an equivalent solid cylinder. The interphase – modeled as a spring layer – is subsequently added to obtain another equivalent solid cylinder. Effective properties of CNRTM are evaluated using the Method of Conditional Moments.",

keywords = "A. Nano-structures, B. Interface/interphase, C. Micro-mechanics, C. Statistical properties/methods, Carbon nanotubes, Gurtin-Murdoch surface model",

author = "Lidiia Nazarenko and Henryk Stolarski and Holm Altenbach",

note = "Funding Information: LN and HS gratefully acknowledge the financial support by the German Research Foundation (DFG) via Projects NA1203/1-1 and NA1203/1-2. Publisher Copyright: {\textcopyright} 2018 Elsevier Ltd",

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doi = "10.1016/j.compstruct.2018.01.027",

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T1 - On modeling and analysis of effective properties of Carbon Nanotubes Reinforced Materials

AU - Nazarenko, Lidiia

AU - Stolarski, Henryk

AU - Altenbach, Holm

N1 - Funding Information: LN and HS gratefully acknowledge the financial support by the German Research Foundation (DFG) via Projects NA1203/1-1 and NA1203/1-2. Publisher Copyright: © 2018 Elsevier Ltd

PY - 2018/4/1

Y1 - 2018/4/1

N2 - Two new aspects related to analysis of Carbon Nanotubes Reinforced Materials (CNTRM) are emphasized in this work. First, a modeling methodology allowing for presence of interphases is proposed. Second, the physically expected dominance of the axial stiffness of Carbon nanotubes (CNT) on the effective properties of CNTRM is demonstrated by purposefully selected numerical experiments. In the proposed model the Gutrin-Murdoch theory is applied to a hollow cylinder of finite thickness and combined with the notion of energy equivalence to replace CNT with an equivalent solid cylinder. The interphase – modeled as a spring layer – is subsequently added to obtain another equivalent solid cylinder. Effective properties of CNRTM are evaluated using the Method of Conditional Moments.

AB - Two new aspects related to analysis of Carbon Nanotubes Reinforced Materials (CNTRM) are emphasized in this work. First, a modeling methodology allowing for presence of interphases is proposed. Second, the physically expected dominance of the axial stiffness of Carbon nanotubes (CNT) on the effective properties of CNTRM is demonstrated by purposefully selected numerical experiments. In the proposed model the Gutrin-Murdoch theory is applied to a hollow cylinder of finite thickness and combined with the notion of energy equivalence to replace CNT with an equivalent solid cylinder. The interphase – modeled as a spring layer – is subsequently added to obtain another equivalent solid cylinder. Effective properties of CNRTM are evaluated using the Method of Conditional Moments.

KW - A. Nano-structures

KW - B. Interface/interphase

KW - C. Micro-mechanics

KW - C. Statistical properties/methods

KW - Carbon nanotubes

KW - Gurtin-Murdoch surface model

UR - http://www.scopus.com/inward/record.url?scp=85042193882&partnerID=8YFLogxK

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DO - 10.1016/j.compstruct.2018.01.027

M3 - Article

AN - SCOPUS:85042193882

SN - 0263-8223

VL - 189

SP - 718

EP - 727

JO - Composite Structures

JF - Composite Structures

ER -

On modeling and analysis of effective properties of Carbon Nanotubes Reinforced Materials

Abstract

Bibliographical note

Keywords

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