Strength prediction for bi-axial braided composites by a multi-scale modelling approach

Braided textile-reinforced composites have become increasingly attractive as protection materials thanks to their unique inter-weaving structures and excellent energy-absorption capacity. However, development of adequate models for simulation of failure processes in them remains a challenge. In this study, tensile strength and progressive damage behaviour of braided textile composites are predicted by a multi-scale modelling approach. First, a micro-scale model with hexagonal arrays of fibres was built to compute effective elastic constants and yarn strength under different loading conditions. Instead of using cited values, the input data for this micro-scale model were obtained experimentally. Subsequently, the results generated by this model were used as input for a meso-scale model. At meso-scale, Hashin’s 3D with Stassi’s failure criteria and a modified Murakami-type stiffness-degradation scheme was employed in a user-defined subroutine developed in the general-purpose finite-element software Abaqus/Standard. An overall stress–strain curve of a meso-scale representative unit cell was verified with the experimental data. Numerical studies show that bias yarns suffer continuous damage during an axial tension test. The magnitudes of ultimate strengths and Young’s moduli of the studied braided composites decreased with an increase in the braiding angle.

[1]  Guangming Zhou,et al.  Microstructure and mechanical properties of 3D surface-core 4-directional braided composites , 2015, Journal of Materials Science.

[2]  A. Waas,et al.  Braided textile composites under compressive loads : Modeling the response, strength and degradation , 2007 .

[3]  N. Tolosana,et al.  3D mesomechanical analysis of three-axial braided composite materials , 2006 .

[4]  Raimund Rolfes,et al.  Multiscale progressive failure analysis of textile composites , 2010 .

[5]  Ignace Verpoest,et al.  Failure analysis of triaxial braided composite , 2009 .

[6]  Asiye Filiz Camliguney,et al.  The effectiveness of shin guards used by football players. , 2014, Journal of sports science & medicine.

[7]  Venkata M. K. Akula,et al.  Review of Degradation Models for Progressive Failure Analysis of Fiber Reinforced Polymer Composites , 2009 .

[8]  Chao Zhang,et al.  Meso-scale failure modeling of single layer triaxial braided composite using finite element method , 2014 .

[9]  J. Segurado,et al.  Multiscale Modeling of Composite Materials: a Roadmap Towards Virtual Testing , 2011, Advanced materials.

[10]  Anthony M. Waas,et al.  Progressive damage and failure response of hybrid 3D textile composites subjected to flexural loading, part II: Mechanics based multiscale computational modeling of progressive damage and failure , 2015 .

[11]  Ignace Verpoest,et al.  Meso-FE modelling of textile composites: Road map, data flow and algorithms , 2007 .

[12]  Stefanie Reese,et al.  Meso- and micro-scale modeling of damage in plain weave composites , 2015 .

[13]  Zhong Chen,et al.  Multi-scale simulation and finite-element-assisted computation of elastic properties of braided textile reinforced composites , 2014 .

[14]  Hongbing Fang,et al.  Progressive Damage Simulation of Triaxially Braided Composite Using a 3D Meso-Scale Finite Element Model , 2015 .

[15]  V. Tan,et al.  A Modeling Approach Across Length Scales for Progressive Failure Analysis of Woven Composites , 2013, Applied Composite Materials.

[16]  Liang Jun,et al.  Progressive damage and nonlinear analysis of 3D four-directional braided composites under unidirectional tension , 2009 .

[17]  A. Waas,et al.  Interaction between kinking and splitting in the compressive failure of unidirectional fiber reinforced laminated composites , 2013 .

[18]  S. Joshi,et al.  Mechanical and Interfacial Properties Characterisation of Single Carbon Fibres for Composite Applications , 2015 .

[19]  A. E. Bogdanovich,et al.  Multi-scale modeling, stress and failure analyses of 3-D woven composites , 2006 .

[20]  Robert K. Goldberg,et al.  Finite Element Model for Failure Study of Two-Dimensional Triaxially Braided Composite , 2011 .

[21]  Chao Zhang,et al.  A meso-scale finite element model for simulating free-edge effect in carbon/epoxy textile composite , 2014 .

[22]  A. Waas,et al.  Energy absorption and damage propagation in 2D triaxially braided carbon fiber composites: effects of in situ matrix properties , 2008, Journal of Materials Science.

[23]  Bohong Gu,et al.  Finite element prediction of the impact compressive properties of three-dimensional braided composites using multi-scale model , 2015 .

[24]  A. Waas,et al.  Progressive damage and failure response of hybrid 3D textile composites subjected to flexural loading, part I: Experimental studies , 2015 .

[25]  Z. Hashin Failure Criteria for Unidirectional Fiber Composites , 1980 .

[26]  V. Silberschmidt,et al.  Shear strength and fracture toughness of carbon fibre/epoxy interface: effect of surface treatment , 2015 .

[27]  Chao Zhang,et al.  Numerical Analysis of Free-Edge Effect on Size-Influenced Mechanical Properties of Single-Layer Triaxially Braided Composites , 2014, Applied Composite Materials.

[28]  R. Christensen,et al.  A Comprehensive Theory of Yielding and Failure for Isotropic Materials , 2006 .

[29]  Anthony M. Waas,et al.  A new lamination theory for layered textile composites that account for manufacturing induced effects , 2009 .

[30]  C. Yen,et al.  Multi scale modeling and characterization of inelastic deformation mechanisms in continuous fiber and 2D woven fabric reinforced metal matrix composites , 2014 .

[31]  Huiyu Sun,et al.  Prediction on viscoelastic properties of three-dimensionally braided composites by multi-scale model , 2013, Journal of Materials Science.

[32]  Sung Kyu Ha,et al.  Effects of Fiber Arrangement on Mechanical Behavior of Unidirectional Composites , 2008 .

[33]  F. Ellyin,et al.  A unified periodical boundary conditions for representative volume elements of composites and applications , 2003 .

[34]  A. Waas,et al.  Compression Response of 2D Braided Textile Composites: Single Cell and Multiple Cell Micromechanics Based Strength Predictions , 2008 .

[35]  Wieslaw K. Binienda,et al.  Mesomechanical Model for Numerical Study of Two-Dimensional Triaxially Braided Composite , 2010 .

[36]  C. Chamis Mechanics of Composite Materials: Past, Present and Future , 1989 .

[37]  T. Zeng,et al.  A continuum damage model for three-dimensional woven composites and finite element implementation , 2015 .

[38]  Zihui Xia,et al.  Nonlinear viscoelastic multi-scale repetitive unit cell model of 3D woven composites with damage evolution , 2013 .

[39]  Lei Xu,et al.  Ultimate strength prediction of braided textile composites using a multi-scale approach , 2015 .

[40]  Vadim V. Silberschmidt,et al.  Drilling in carbon/epoxy composites: Experimental investigations and finite element implementation , 2013 .

[41]  Xinran Xiao,et al.  Strength prediction of a triaxially braided composite , 2011 .