A multi-scale modeling framework for impact damage simulation of triaxially braided composites

Abstract A multi-scale simulation framework based on finite element method is developed to model the impact failure behavior of triaxially braided composite. The model integrates micromechanical model, meso-mechanical model and macro subcell model for the purpose of determining effective properties of fiber tows, estimating effective properties of subcell components, and simulating impact failure behavior of a braided composite structure, respectively. The meso-mechanical model compares excellently with experiments for mechanical behavior of both single-layer and six-layer specimens under quasi-static loading conditions. A new meso-macro homogenization approach is proposed to estimate effective properties of subcell components with consideration of geometry continuity effect. The subcell model is validated against experiments and utilized to simulate the high-speed impact behavior of a composite panel. The results of the subcell impact model compare well with experimental failure phenomena. The presented multi-scale modeling approach demonstrates its feasibility for impact analysis and design of braided composite structures.

[1]  M. Shokrieh,et al.  An analytical method for calculating stiffness of two-dimensional tri-axial braided composites , 2010 .

[2]  Lee W. Kohlman,et al.  Evaluation of test methods for triaxial braid composites and the development of a large multiaxial test frame for validation using braided tube specimens , 2012 .

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

[4]  Harpreet Singh,et al.  Modeling damage induced plasticity for low velocity impact simulation of three dimensional fiber reinforced composite , 2015 .

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

[6]  Vadim V. Silberschmidt,et al.  Strength prediction for bi-axial braided composites by a multi-scale modelling approach , 2016, Journal of Materials Science.

[7]  Justin D. Littell,et al.  The experimental and analytical characterization of the macromechanical response for triaxial braided composite materials , 2008 .

[8]  Rani Elhajjar,et al.  Closed form solutions for predicting the elastic behavior of quasi-isotropic triaxially braided composites , 2013 .

[9]  W. Binienda,et al.  Free-edge effect on the effective stiffness of single-layer triaxially braided composite , 2015 .

[10]  H. Lee,et al.  Modelling damage growth in composites subjected to impact and compression after impact , 2017 .

[11]  I. Verpoest,et al.  Assessment of embedded element technique in meso-FE modelling of fibre reinforced composites , 2014 .

[12]  Stephen R Hallett,et al.  Prediction of impact damage in composite plates , 2000 .

[13]  Aswani Kumar Bandaru,et al.  Modeling of progressive damage for composites under ballistic impact , 2016 .

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

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

[16]  J. Gillespie,et al.  Finite element modeling of impact, damage evolution and penetration of thick-section composites , 2011 .

[17]  R. Vaziri,et al.  Axial crushing of triaxially braided composite tubes at quasi-static and dynamic rates , 2016 .

[18]  I. Verpoest,et al.  Local damage in a 5-harness satin weave composite under static tension: Part II - Meso-FE modelling , 2010 .

[19]  Evgeny V. Morozov,et al.  Simulating progressive failure of composite laminates including in-ply and delamination damage effects , 2014 .

[20]  D. Song,et al.  Stress analysis and damage evolution in individual plies of notched composite laminates subjected to in-plane loads , 2017 .

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

[22]  Chao Zhang,et al.  Analytical Model and Numerical Analysis of the Elastic Behavior of Triaxial Braided Composites , 2014 .

[23]  T. Wehrkamp-Richter,et al.  Damage and failure of triaxial braided composites under multi-axial stress states , 2017 .

[24]  Brian Falzon,et al.  Predicting low velocity impact damage and Compression-After-Impact (CAI) behaviour of composite laminates , 2015 .

[25]  Xing Li,et al.  A new stress-based multi-scale failure criterion of composites and its validation in open hole tension tests , 2014 .

[26]  Zheng-Ming Huang,et al.  The mechanical properties of composites reinforced with woven and braided fabrics , 2000 .

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

[28]  Lulu Liu,et al.  Modified Subcell Model Using Solid Elements for Triaxial Braided Composite under Ballistic Impact , 2016 .

[29]  Robert K. Goldberg,et al.  Modification of a Macromechanical Finite Element–Based Model for Impact Analysis of Triaxially Braided Composites , 2012 .

[30]  Zheng-ming Huang,et al.  Assessment of composite failure and ultimate strength without experiment on composite , 2014 .

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

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

[33]  H. Wen,et al.  A progressive damage model for fiber reinforced plastic composites subjected to impact loading , 2015 .

[34]  Xinran Xiao,et al.  A new shell-beam element modeling method and its use in crash simulation of triaxial braided composites , 2017 .

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

[36]  Venkatesh Agaram,et al.  Analysis of 2D triaxial flat braided textile composites , 2003 .

[37]  Wei Sun,et al.  Compressive failure analysis of unidirectional carbon/epoxy composite based on micro-mechanical models , 2017 .

[38]  Z. Bažant,et al.  Crack band theory for fracture of concrete , 1983 .

[39]  Zhong Chen,et al.  Progressive failure prediction of a landing gear structure of braided composites , 2017 .

[40]  H. Singh,et al.  A damage evolution study of E-glass/epoxy composite under low velocity impact , 2015 .