Elastic property prediction and damage mechanics analysis of 3D braided composite

Abstract In this paper, a smooth fabric micromechanical model of 3D braided composites is presented for the first time. The proposed unit cell model of 3D braided composites is used for evaluation of elastic moduli and continuum damage analysis. An enriched element free Galerkin method is developed to implicitly include the unit cell formulation into the constitutive matrix, hence allowing the problem to be modelled with a simple uniform distribution of nodes. This special feature of the formulation offers the solution to modelling complicated composite architectures, such as the 3D braided composites. Three different Meshfree approaches, using moving least square approximation, radial basis function interpolation and moving kriging interpolation, are implemented. Finally, a continuum damage model is implemented into the meshfree method and applied to the braided composite.

[1]  Joon-Hyung Byun,et al.  The analytical characterization of 2-D braided textile composites , 2000 .

[2]  R. L. Hardy.  Multiquadric equations of topography and other irregular surfaces , 1971 .

[3]  Philippe Boisse,et al.  Composite reinforcements for optimum performance , 2012 .

[4]  T. Belytschko,et al.  Element‐free Galerkin methods , 1994 .

[5]  D. Rooke,et al.  The compendium of stress intensity factors , 1978, International Journal of Fracture.

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

[7]  A. Waas,et al.  Estimating mechanical properties of 2D triaxially braided textile composites based on microstructure properties , 2015 .

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

[9]  Y. H. Chen,et al.  Micromechanical modelling of the overall response of plain woven polymer matrix composites , 2019 .

[10]  MESH-FREE MICROMECHANICAL MODEL FOR WOVEN FABRIC COMPOSITE ELASTIC MODULI , 2009 .

[11]  Satya N. Atluri,et al.  Applications of the MLPG Method in Engineering &Sciences: A Review , 2013 .

[12]  L. Gu,et al.  Moving kriging interpolation and element‐free Galerkin method , 2003 .

[13]  Z. Sharif Khodaei,et al.  Structural Health Monitoring for Advanced Composite Structures , 2018 .

[14]  Jason P. Carey,et al.  Predicting the longitudinal elastic modulus of braided tubular composites using a curved unit-cell geometry , 2010 .