A sequential homogenization of multi-coated micromechanical model for functionally graded interphase composites

Yi Cheng; Hui Cheng; Kaifu Zhang; Kevontrez Kyvon Jones; Jiaying Gao; Junshan Hu; Hailin Li; Wing Kam Liu

doi:10.1007/s00466-019-01712-4

A sequential homogenization of multi-coated micromechanical model for functionally graded interphase composites

Yi Cheng, Hui Cheng, Kaifu Zhang^*, Kevontrez Kyvon Jones, Jiaying Gao, Junshan Hu, Hailin Li, Wing Kam Liu

^*Corresponding author for this work

Mechanical Engineering

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

6 Scopus citations

Abstract

In order to represent the functionally graded properties of interphase, a multi-coated micromechanical model is developed. Based on elliptic shell integration of Green’s function, the strain disturbance in each phase is obtained. According to computational investigation of this model, the outer layer of the interphase does not bring in strain disturbance within the inner ones. To this end, a sequential computational homogenization method is proposed. The inhomogeneities are added sequentially from outside to inside. The temporary effective modulus on each stage is obtained by the Self Consistency Scheme. Then the effective modulus of the overall composites are fitted with a Mori–Tanaka estimation for practical applications. The effectiveness of present method is verified by the results of “2 + 1” and “3 + 1” models in prior researches and finite element simulations. Finally, the influence of thickness and stiffness of interphase on the composites’ effective modulus are investigated.

Original language	English (US)
Pages (from-to)	1321-1337
Number of pages	17
Journal	Computational Mechanics
Volume	64
Issue number	5
DOIs	https://doi.org/10.1007/s00466-019-01712-4
State	Published - Nov 1 2019

Funding

This work was supported by the Fund of Intelligent Robotic in Ministry of Science and Technology of the People’s Republic of China (Grant Numbers No. 2017YFB1301703), the Fund for distinguished Young Scholars in Shaanxi Province of China (Grant Numbers No. S2018-jc-jq-0260), the Fund on the Guidence of Technology Inovation in Shaanxi Province of China (Grant numbers No. S2018-YD-CGHJ-0014), and Beijing Institute of Collaborative Innovation. The author would like to acknowledge the editors and the anonymous referees of their insightful comments.

Keywords

Effective modulus
Finite elements
Functionally graded interphase
Homogenization
Micromechanics
Multi-coated

ASJC Scopus subject areas

Computational Mechanics
Ocean Engineering
Mechanical Engineering
Computational Theory and Mathematics
Computational Mathematics
Applied Mathematics

Access to Document

10.1007/s00466-019-01712-4

Cite this

@article{ce146e66a8a44dc287de4237d0db32a0,

title = "A sequential homogenization of multi-coated micromechanical model for functionally graded interphase composites",

abstract = "In order to represent the functionally graded properties of interphase, a multi-coated micromechanical model is developed. Based on elliptic shell integration of Green{\textquoteright}s function, the strain disturbance in each phase is obtained. According to computational investigation of this model, the outer layer of the interphase does not bring in strain disturbance within the inner ones. To this end, a sequential computational homogenization method is proposed. The inhomogeneities are added sequentially from outside to inside. The temporary effective modulus on each stage is obtained by the Self Consistency Scheme. Then the effective modulus of the overall composites are fitted with a Mori–Tanaka estimation for practical applications. The effectiveness of present method is verified by the results of “2 + 1” and “3 + 1” models in prior researches and finite element simulations. Finally, the influence of thickness and stiffness of interphase on the composites{\textquoteright} effective modulus are investigated.",

keywords = "Effective modulus, Finite elements, Functionally graded interphase, Homogenization, Micromechanics, Multi-coated",

author = "Yi Cheng and Hui Cheng and Kaifu Zhang and Jones, {Kevontrez Kyvon} and Jiaying Gao and Junshan Hu and Hailin Li and Liu, {Wing Kam}",

note = "Publisher Copyright: {\textcopyright} 2019, Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2019",

month = nov,

day = "1",

doi = "10.1007/s00466-019-01712-4",

language = "English (US)",

volume = "64",

pages = "1321--1337",

journal = "Computational Mechanics",

issn = "0178-7675",

publisher = "Springer Verlag",

number = "5",

}

TY - JOUR

T1 - A sequential homogenization of multi-coated micromechanical model for functionally graded interphase composites

AU - Cheng, Yi

AU - Cheng, Hui

AU - Zhang, Kaifu

AU - Jones, Kevontrez Kyvon

AU - Gao, Jiaying

AU - Hu, Junshan

AU - Li, Hailin

AU - Liu, Wing Kam

PY - 2019/11/1

Y1 - 2019/11/1

N2 - In order to represent the functionally graded properties of interphase, a multi-coated micromechanical model is developed. Based on elliptic shell integration of Green’s function, the strain disturbance in each phase is obtained. According to computational investigation of this model, the outer layer of the interphase does not bring in strain disturbance within the inner ones. To this end, a sequential computational homogenization method is proposed. The inhomogeneities are added sequentially from outside to inside. The temporary effective modulus on each stage is obtained by the Self Consistency Scheme. Then the effective modulus of the overall composites are fitted with a Mori–Tanaka estimation for practical applications. The effectiveness of present method is verified by the results of “2 + 1” and “3 + 1” models in prior researches and finite element simulations. Finally, the influence of thickness and stiffness of interphase on the composites’ effective modulus are investigated.

AB - In order to represent the functionally graded properties of interphase, a multi-coated micromechanical model is developed. Based on elliptic shell integration of Green’s function, the strain disturbance in each phase is obtained. According to computational investigation of this model, the outer layer of the interphase does not bring in strain disturbance within the inner ones. To this end, a sequential computational homogenization method is proposed. The inhomogeneities are added sequentially from outside to inside. The temporary effective modulus on each stage is obtained by the Self Consistency Scheme. Then the effective modulus of the overall composites are fitted with a Mori–Tanaka estimation for practical applications. The effectiveness of present method is verified by the results of “2 + 1” and “3 + 1” models in prior researches and finite element simulations. Finally, the influence of thickness and stiffness of interphase on the composites’ effective modulus are investigated.

KW - Effective modulus

KW - Finite elements

KW - Functionally graded interphase

KW - Homogenization

KW - Micromechanics

KW - Multi-coated

UR - http://www.scopus.com/inward/record.url?scp=85065449980&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85065449980&partnerID=8YFLogxK

U2 - 10.1007/s00466-019-01712-4

DO - 10.1007/s00466-019-01712-4

M3 - Article

AN - SCOPUS:85065449980

SN - 0178-7675

VL - 64

SP - 1321

EP - 1337

JO - Computational Mechanics

JF - Computational Mechanics

IS - 5

ER -

A sequential homogenization of multi-coated micromechanical model for functionally graded interphase composites

Abstract

Funding

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this