A theoretical analysis of interface debonding for coated sphere with functionally graded interphase

Sudong Ben; Junhua Zhao; Timon Rabczuk

doi:10.1016/j.compstruct.2014.07.004

A theoretical analysis of interface debonding for coated sphere with functionally graded interphase

Sudong Ben
, Junhua Zhao^*
, Timon Rabczuk

^*Corresponding author for this work

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

25 Citations (Scopus)

Abstract

We present a novel nonlinear cohesive law for coated sphere with functionally graded interphase (FGI). It is derived from the van der Waals interaction accounting for the interface debonding of the coated sphere subjected to radial tensile loading. The present analytical results show that: (1) Higher values of the interphase radius r_b lead to a higher interface strength and a higher debonding strain; (2) a higher Young's modulus E_f and the Poisson's ratio v_f of the sphere lead to a lower interface strength and a smaller debonding strain; (3) large values of the index n and the inner Young's modulus E_a of FGI as well as the Poisson's ratio v_m of the entire coat improve the interface strength and reduce the debonding strain; (4) the sphere radius r_a and the outer coat radius r_c can not only improve but also reduce the interface strength and the debonding strain, respectively. The established analytical solutions should be of great help for understanding the mechanical properties of the coated sphere and sphere-reinforced composites, designing microcomposites and microelectromechanical systems.

Original language	English
Pages (from-to)	288-297
Number of pages	10
Journal	Composite Structures
Volume	117
Issue number	1
DOIs	https://doi.org/10.1016/j.compstruct.2014.07.004
Publication status	Published - 2014 Nov

Bibliographical note

Funding Information:
We gratefully acknowledge support by the National Nature Science Foundation of China (Grant No. 11302084 ) and the Humboldt Foundation of Germany .

Keywords

Coat
Cohesive law
Interphase
Matrix
Sphere

ASJC Scopus subject areas

Ceramics and Composites
Civil and Structural Engineering

Access to Document

10.1016/j.compstruct.2014.07.004

Cite this

@article{b0e37d5a55d941038bd1149792cdc280,

title = "A theoretical analysis of interface debonding for coated sphere with functionally graded interphase",

abstract = "We present a novel nonlinear cohesive law for coated sphere with functionally graded interphase (FGI). It is derived from the van der Waals interaction accounting for the interface debonding of the coated sphere subjected to radial tensile loading. The present analytical results show that: (1) Higher values of the interphase radius rb lead to a higher interface strength and a higher debonding strain; (2) a higher Young's modulus Ef and the Poisson's ratio vf of the sphere lead to a lower interface strength and a smaller debonding strain; (3) large values of the index n and the inner Young's modulus Ea of FGI as well as the Poisson's ratio vm of the entire coat improve the interface strength and reduce the debonding strain; (4) the sphere radius ra and the outer coat radius rc can not only improve but also reduce the interface strength and the debonding strain, respectively. The established analytical solutions should be of great help for understanding the mechanical properties of the coated sphere and sphere-reinforced composites, designing microcomposites and microelectromechanical systems.",

keywords = "Coat, Cohesive law, Interphase, Matrix, Sphere",

author = "Sudong Ben and Junhua Zhao and Timon Rabczuk",

note = "Funding Information: We gratefully acknowledge support by the National Nature Science Foundation of China (Grant No. 11302084 ) and the Humboldt Foundation of Germany .",

year = "2014",

month = nov,

doi = "10.1016/j.compstruct.2014.07.004",

language = "English",

volume = "117",

pages = "288--297",

journal = "Composite Structures",

issn = "0263-8223",

publisher = "Elsevier B.V.",

number = "1",

}

TY - JOUR

T1 - A theoretical analysis of interface debonding for coated sphere with functionally graded interphase

AU - Ben, Sudong

AU - Zhao, Junhua

AU - Rabczuk, Timon

N1 - Funding Information: We gratefully acknowledge support by the National Nature Science Foundation of China (Grant No. 11302084 ) and the Humboldt Foundation of Germany .

PY - 2014/11

Y1 - 2014/11

N2 - We present a novel nonlinear cohesive law for coated sphere with functionally graded interphase (FGI). It is derived from the van der Waals interaction accounting for the interface debonding of the coated sphere subjected to radial tensile loading. The present analytical results show that: (1) Higher values of the interphase radius rb lead to a higher interface strength and a higher debonding strain; (2) a higher Young's modulus Ef and the Poisson's ratio vf of the sphere lead to a lower interface strength and a smaller debonding strain; (3) large values of the index n and the inner Young's modulus Ea of FGI as well as the Poisson's ratio vm of the entire coat improve the interface strength and reduce the debonding strain; (4) the sphere radius ra and the outer coat radius rc can not only improve but also reduce the interface strength and the debonding strain, respectively. The established analytical solutions should be of great help for understanding the mechanical properties of the coated sphere and sphere-reinforced composites, designing microcomposites and microelectromechanical systems.

AB - We present a novel nonlinear cohesive law for coated sphere with functionally graded interphase (FGI). It is derived from the van der Waals interaction accounting for the interface debonding of the coated sphere subjected to radial tensile loading. The present analytical results show that: (1) Higher values of the interphase radius rb lead to a higher interface strength and a higher debonding strain; (2) a higher Young's modulus Ef and the Poisson's ratio vf of the sphere lead to a lower interface strength and a smaller debonding strain; (3) large values of the index n and the inner Young's modulus Ea of FGI as well as the Poisson's ratio vm of the entire coat improve the interface strength and reduce the debonding strain; (4) the sphere radius ra and the outer coat radius rc can not only improve but also reduce the interface strength and the debonding strain, respectively. The established analytical solutions should be of great help for understanding the mechanical properties of the coated sphere and sphere-reinforced composites, designing microcomposites and microelectromechanical systems.

KW - Coat

KW - Cohesive law

KW - Interphase

KW - Matrix

KW - Sphere

UR - https://www.scopus.com/pages/publications/84906057342

U2 - 10.1016/j.compstruct.2014.07.004

DO - 10.1016/j.compstruct.2014.07.004

M3 - Article

AN - SCOPUS:84906057342

SN - 0263-8223

VL - 117

SP - 288

EP - 297

JO - Composite Structures

JF - Composite Structures

IS - 1

ER -

A theoretical analysis of interface debonding for coated sphere with functionally graded interphase

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this