A multifibre multilayer representative volume element (M2RVE) for prediction of matrix and interfacial damage in composite laminates

Ganesh Soni; Ramesh Singh; Mira Mitra; Brian Falzon

A multifibre multilayer representative volume element (M²RVE) for prediction of matrix and interfacial damage in composite laminates

Ganesh Soni
, Ramesh Singh
, Mira Mitra
, Brian Falzon

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Multiscale micro-mechanics theory is extensively used for the prediction of the material response and damage analysis of unidirectional lamina using a representative volume element (RVE). This paper presents a RVE-based approach to characterize the material response of a multi-fibre cross-ply laminate considering the effect of matrix damage and fibre-matrix interfacial strength. The framework of the homogenization theory for periodic media has been used for the analysis of a 'multi-fibre multi-layer representative volume element' (M²RVE) representing cross-ply laminate. The non-homogeneous stress-strain fields within the M²RVE are related to the average stresses and strains by using Gauss theorem and the Hill-Mandal strain energy equivalence principle. The interfacial bonding strength affects the in-plane shear stress-strain response significantly. The material response predicted by M²RVE is in good agreement with the experimental results available in the literature. The maximum difference between the shear stress predicted using M²RVE and the experimental results is ∼15% for the bonding strength of 30MPa at the strain value of 1.1%.

Original language	English
Title of host publication	ECCM 2012 - Composites at Venice, Proceedings of the 15th European Conference on Composite Materials
Publisher	European Conference on Composite Materials, ECCM
ISBN (Print)	9788888785332
Publication status	Published - 01 Jan 2012
Externally published	Yes
Event	15th European Conference on Composite Materials: Composites at Venice, ECCM 2012 - Venice, Italy Duration: 24 Jun 2012 → 28 Jun 2012

Publication series

Name	ECCM 2012 - Composites at Venice, Proceedings of the 15th European Conference on Composite Materials

Conference

Conference	15th European Conference on Composite Materials: Composites at Venice, ECCM 2012
Country/Territory	Italy
City	Venice
Period	24/06/2012 → 28/06/2012

Keywords

Fibre matrix debonding
Matrix damage
Multi-fibre multi-layer representative volume element
Multiscale modeling

ASJC Scopus subject areas

Ceramics and Composites

Cite this

Soni, G., Singh, R., Mitra, M., & Falzon, B. (2012). A multifibre multilayer representative volume element (M²RVE) for prediction of matrix and interfacial damage in composite laminates. In ECCM 2012 - Composites at Venice, Proceedings of the 15th European Conference on Composite Materials (ECCM 2012 - Composites at Venice, Proceedings of the 15th European Conference on Composite Materials). European Conference on Composite Materials, ECCM.

Soni, Ganesh ; Singh, Ramesh ; Mitra, Mira et al. / A multifibre multilayer representative volume element (M²RVE) for prediction of matrix and interfacial damage in composite laminates. ECCM 2012 - Composites at Venice, Proceedings of the 15th European Conference on Composite Materials. European Conference on Composite Materials, ECCM, 2012. (ECCM 2012 - Composites at Venice, Proceedings of the 15th European Conference on Composite Materials).

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title = "A multifibre multilayer representative volume element (M2RVE) for prediction of matrix and interfacial damage in composite laminates",

abstract = "Multiscale micro-mechanics theory is extensively used for the prediction of the material response and damage analysis of unidirectional lamina using a representative volume element (RVE). This paper presents a RVE-based approach to characterize the material response of a multi-fibre cross-ply laminate considering the effect of matrix damage and fibre-matrix interfacial strength. The framework of the homogenization theory for periodic media has been used for the analysis of a 'multi-fibre multi-layer representative volume element' (M2RVE) representing cross-ply laminate. The non-homogeneous stress-strain fields within the M2RVE are related to the average stresses and strains by using Gauss theorem and the Hill-Mandal strain energy equivalence principle. The interfacial bonding strength affects the in-plane shear stress-strain response significantly. The material response predicted by M2RVE is in good agreement with the experimental results available in the literature. The maximum difference between the shear stress predicted using M2RVE and the experimental results is ∼15\% for the bonding strength of 30MPa at the strain value of 1.1\%.",

keywords = "Fibre matrix debonding, Matrix damage, Multi-fibre multi-layer representative volume element, Multiscale modeling",

author = "Ganesh Soni and Ramesh Singh and Mira Mitra and Brian Falzon",

year = "2012",

month = jan,

day = "1",

language = "English",

isbn = "9788888785332",

series = "ECCM 2012 - Composites at Venice, Proceedings of the 15th European Conference on Composite Materials",

publisher = "European Conference on Composite Materials, ECCM",

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note = "15th European Conference on Composite Materials: Composites at Venice, ECCM 2012 ; Conference date: 24-06-2012 Through 28-06-2012",

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Soni, G, Singh, R, Mitra, M & Falzon, B 2012, A multifibre multilayer representative volume element (M²RVE) for prediction of matrix and interfacial damage in composite laminates. in ECCM 2012 - Composites at Venice, Proceedings of the 15th European Conference on Composite Materials. ECCM 2012 - Composites at Venice, Proceedings of the 15th European Conference on Composite Materials, European Conference on Composite Materials, ECCM, 15th European Conference on Composite Materials: Composites at Venice, ECCM 2012, Venice, Italy, 24/06/2012.

A multifibre multilayer representative volume element (M²RVE) for prediction of matrix and interfacial damage in composite laminates. / Soni, Ganesh; Singh, Ramesh; Mitra, Mira et al.
ECCM 2012 - Composites at Venice, Proceedings of the 15th European Conference on Composite Materials. European Conference on Composite Materials, ECCM, 2012. (ECCM 2012 - Composites at Venice, Proceedings of the 15th European Conference on Composite Materials).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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T1 - A multifibre multilayer representative volume element (M2RVE) for prediction of matrix and interfacial damage in composite laminates

AU - Soni, Ganesh

AU - Singh, Ramesh

AU - Mitra, Mira

AU - Falzon, Brian

PY - 2012/1/1

Y1 - 2012/1/1

N2 - Multiscale micro-mechanics theory is extensively used for the prediction of the material response and damage analysis of unidirectional lamina using a representative volume element (RVE). This paper presents a RVE-based approach to characterize the material response of a multi-fibre cross-ply laminate considering the effect of matrix damage and fibre-matrix interfacial strength. The framework of the homogenization theory for periodic media has been used for the analysis of a 'multi-fibre multi-layer representative volume element' (M2RVE) representing cross-ply laminate. The non-homogeneous stress-strain fields within the M2RVE are related to the average stresses and strains by using Gauss theorem and the Hill-Mandal strain energy equivalence principle. The interfacial bonding strength affects the in-plane shear stress-strain response significantly. The material response predicted by M2RVE is in good agreement with the experimental results available in the literature. The maximum difference between the shear stress predicted using M2RVE and the experimental results is ∼15% for the bonding strength of 30MPa at the strain value of 1.1%.

AB - Multiscale micro-mechanics theory is extensively used for the prediction of the material response and damage analysis of unidirectional lamina using a representative volume element (RVE). This paper presents a RVE-based approach to characterize the material response of a multi-fibre cross-ply laminate considering the effect of matrix damage and fibre-matrix interfacial strength. The framework of the homogenization theory for periodic media has been used for the analysis of a 'multi-fibre multi-layer representative volume element' (M2RVE) representing cross-ply laminate. The non-homogeneous stress-strain fields within the M2RVE are related to the average stresses and strains by using Gauss theorem and the Hill-Mandal strain energy equivalence principle. The interfacial bonding strength affects the in-plane shear stress-strain response significantly. The material response predicted by M2RVE is in good agreement with the experimental results available in the literature. The maximum difference between the shear stress predicted using M2RVE and the experimental results is ∼15% for the bonding strength of 30MPa at the strain value of 1.1%.

KW - Fibre matrix debonding

KW - Matrix damage

KW - Multi-fibre multi-layer representative volume element

KW - Multiscale modeling

UR - https://www.scopus.com/pages/publications/84903954656

M3 - Conference contribution

AN - SCOPUS:84903954656

SN - 9788888785332

T3 - ECCM 2012 - Composites at Venice, Proceedings of the 15th European Conference on Composite Materials

BT - ECCM 2012 - Composites at Venice, Proceedings of the 15th European Conference on Composite Materials

PB - European Conference on Composite Materials, ECCM

T2 - 15th European Conference on Composite Materials: Composites at Venice, ECCM 2012

Y2 - 24 June 2012 through 28 June 2012

ER -

Soni G, Singh R, Mitra M, Falzon B. A multifibre multilayer representative volume element (M²RVE) for prediction of matrix and interfacial damage in composite laminates. In ECCM 2012 - Composites at Venice, Proceedings of the 15th European Conference on Composite Materials. European Conference on Composite Materials, ECCM. 2012. (ECCM 2012 - Composites at Venice, Proceedings of the 15th European Conference on Composite Materials).