Sensitivities and optimal design of hexagonal array fiber composites with respect to interphase properties

Gulrajani, Sunil N.; Mukherjee, Subrata

doi:10.1016/0020-7683(93)90048-c

Cited by 16 publications

(7 citation statements)

References 29 publications

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“…Ever since the seminal work by Professor Rizzo on elasticity [1] and other work that followed [2][3][4][5][6][7][8], BIE/BEM has been applied successfully to the analysis of various materials, such as anisotropic materials (see, e.g., [4,7,[9][10][11][12][13]), composites [14][15][16][17][18] and piezoelectric materials [19][20][21][22][23][24][25][26]. There is a reason for this continued interest in the BIE/BEM for the analysis of various materials.…”

Section: Introductionmentioning

confidence: 99%

Continuum Models of Carbon Nanotube-Based Composites Using the Boundary Element Method

Liu

Chen

2007

EJBE

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This paper presents some recent advances in the boundary element method (BEM) for the analysis of carbon nanotube (CNT)-based composites. Carbon nanotubes, formed conceptually by rolling thin graphite sheets, have been found to be extremely stiff, strong and resilient, and therefore may be ideal for reinforcing composite materials. However, the thin cylindrical shape of the CNTs presents great challenges to any computational method when these thin shell-like CNTs are embedded in a matrix material. The BEM, based on exactly the same boundary integral equation (BIE) formulation developed by Rizzo some forty years ago, turns out to be an ideal numerical tool for such simulations using continuum mechanics. Modeling issues regarding model selections, representative volume elements, interface conditions and others, will be discussed in this paper. Methods for dealing with nearly-singular integrals which arise in the BEM analysis of thin or layered materials and are crucial for the accuracy of such analyses will be reviewed. Numerical examples using the BEM and compared with the finite element method (FEM) will be presented to demonstrate the efficiency and accuracy of the BEM in analyzing the CNT-reinforced composites.

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Section: Introductionmentioning

confidence: 99%

Continuum Models of Carbon Nanotube-Based Composites Using the Boundary Element Method

Liu

Chen

2007

EJBE

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“…Furthermore, displacement jumps are proportional, in terms of the Ôspring-factor-typeÕ interface parameters, to their respective traction components. Most of the studies on this research topic were limited to constant interface parameter (see, for example, Achenbach and Zhu, 1990;Gulrajani and Mukherjee, 1993;Zhong and Meguid, 1997;Kattis and Providas, 1998;Pan et al, 1998;Tong et al, 2001;Crouch, 2002, 2004). The variable interface parameter, which can be employed to reflect the more realistic scenario in which the extent of bonding at the interface varies 0020-7683/$ -see front matter Ó 2004 Elsevier Ltd. All rights reserved.…”

Section: Introductionmentioning

confidence: 98%

Two circular inclusions with inhomogeneously imperfect interfaces in plane elasticity

Wang

Zhang

Guo

2005

International Journal of Solids and Structures

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“…A single fiber in the composite with interface cracks was also analyzed in their papers. Gulrajani and Mukherjee [17] studied the sensitivities and optimal design of composites with a hexagonal array of fibers. Pan et al [18] used a similar two-dimensional BEM model to develop a library of Green's functions for analyzing fiber-reinforced composite materials for engineers to design such composites.…”

Section: Introductionmentioning

confidence: 99%

Modeling of multi-inclusion composites with interfacial imperfections: Micromechanical and numerical simulations

Chen

Zhu

Huang

2010

Sci. China Technol. Sci.

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A micromechanical approach based on a two-layer built-in model and a numerical simulation based on boundary element method are proposed to predict the effective properties of the multi-inclusion composite with imperfect interfaces. The spring model is introduced to simulate the interface imperfection. These two methods are compared with each other, and good agreement is achieved. The effects of interface spring stiffness, volume ratio and stiffness of inclusions on the micro-and macro-mechanical behaviors of fiber-reinforced composites are investigated. It is shown that the developed micromechanical method is very comprehensive and efficient for fast prediction of effective properties of composites, while the numerical method is very accurate in detailed modeling of the mechanical behavior of composites with multiple inclusions. micromechanics, boundary element method, interface, multi-inclusion composite, effective elastic property Citation:Chen W Q, Zhu X Y, Huang Z Y. Modeling of multi-inclusion composites with interfacial imperfections: Micromechanical and numerical simulations.

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Sensitivities and optimal design of hexagonal array fiber composites with respect to interphase properties

Cited by 16 publications

References 29 publications

Continuum Models of Carbon Nanotube-Based Composites Using the Boundary Element Method

Continuum Models of Carbon Nanotube-Based Composites Using the Boundary Element Method

Two circular inclusions with inhomogeneously imperfect interfaces in plane elasticity

Modeling of multi-inclusion composites with interfacial imperfections: Micromechanical and numerical simulations

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