Characterization of stress–strain behavior of composites using digital image correlation and finite element analysis

Abstract This work presents a cost–effective method taking advantage of the full-field measurement capability of digital image correlation (DIC) for a simultaneous assessment of multiple stress–strain relations for fiber-reinforced composites in a principal material plane. The method is based on combining a finite element model based stress calculation and a full-field surface strain measurement in a custom short-beam shear (SBS) test. The unknown constitutive properties are determined through minimization of the square difference between the DIC-measured and the FEM-calculated strains. The robustness of the proposed method has been evaluated using different initial approximations of material constitutive parameters. Explicit derivation and evaluation of the sensitive matrix are not required in the method. Due to geometric nature of stress distribution in the unidirectional short-beam specimen loaded in a principal material plane, the optimization procedure converges rapidly, and is not sensitive to the formulation and parameters in the initial approximation of the constitutive model.

[1]  Fabrice Pierron,et al.  Special virtual fields for the direct determination of material parameters with the virtual fields method. 1––Principle and definition , 2002 .

[2]  Andrew Makeev,et al.  Characterization of nonlinear shear properties for composite materials using digital image correlation and finite element analysis , 2012 .

[3]  Jung-Ryul Lee,et al.  Identification of the four orthotropic plate stiffnesses using a single open-hole tensile test , 2005 .

[4]  A. Makeev,et al.  A method for measurement of multiple constitutive properties for composite materials , 2012 .

[5]  M. Bonnet,et al.  Overview of Identification Methods of Mechanical Parameters Based on Full-field Measurements , 2008 .

[6]  J. D. Collins,et al.  Statistical Identification of Structures , 1973 .

[7]  Fabrice Pierron,et al.  Direct identification of the damage behaviour of composite materials using the virtual fields method , 2004 .

[8]  Ashwini Kumar,et al.  Response and failure of square laminates under combined loads , 2002 .

[9]  John M. Hodgkinson,et al.  Mechanical testing of advanced fibre composites , 2000 .

[10]  Jd Jan Janssen,et al.  Determination of the elasto-plastic properties of aluminium using a mixed numerical–experimental method , 1998 .

[11]  J. Kajberg,et al.  Characterisation of materials subjected to large strains by inverse modelling based on in-plane displacement fields , 2004 .

[12]  Fabrice Pierron,et al.  Special virtual fields for the direct determination of material parameters with the virtual fields method. 2––Application to in-plane properties , 2002 .

[13]  R. A. Shenoi,et al.  Progressive failure and ultimate collapse of laminated composite plates in bending , 1997 .

[14]  A. Makeev,et al.  An improved short-beam method for measuring multiple constitutive properties for composites , 2016 .

[15]  A. Makeev,et al.  In quest of methods for measuring 3D mechanical properties of composites , 2014 .

[16]  R. Meijer,et al.  Characterisation of Anisotropic and Non-linear Behaviour of Human Skin In Vivo. , 1999, Computer methods in biomechanics and biomedical engineering.

[17]  Hubert W. Schreier,et al.  Image Correlation for Shape, Motion and Deformation Measurements: Basic Concepts,Theory and Applications , 2009 .

[18]  A. Makeev,et al.  Short‐beam Shear Method for Assessment of Stress–Strain Curves for Fibre‐reinforced Polymer Matrix Composite Materials , 2013 .

[19]  Fabrice Pierron,et al.  Identification of the through-thickness moduli of thick composites from whole-field measurements using the Iosipescu fixture: theory and simulations , 2000 .

[20]  A. Makeev.  Interlaminar shear fatigue behavior of glass/epoxy and carbon/epoxy composites , 2013 .

[21]  Stéphane Avril,et al.  Experimental identification of a nonlinear model for composites using the grid technique coupled to the virtual fields method , 2006 .

[22]  Joël Cugnoni,et al.  Inverse method based on modal analysis for characterizing the constitutive properties of thick composite plates , 2007 .

[23]  A. Makeev,et al.  Nonlinear shear behavior and interlaminar shear strength of unidirectional polymer matrix composites: A numerical study , 2014 .

[24]  Hugo Sol,et al.  Mixed numerical–experimental technique for orthotropic parameter identification using biaxial tensile tests on cruciform specimens , 2007 .

[25]  R. Clough,et al.  Finite element applications in the characterization of elastic solids , 1971 .

[26]  Michel Grédiac,et al.  The use of full-field measurement methods in composite material characterization: interest and limitations , 2004 .

[27]  Fabrice Pierron,et al.  Applying the virtual fields method to determine the through-thickness moduli of thick composites with a nonlinear shear response , 2001 .

[28]  Chunhui Yang,et al.  Recent developments in finite element analysis for laminated composite plates , 2009 .

[29]  Andrew Makeev,et al.  Assessing 3D shear stress–strain properties of composites using Digital Image Correlation and finite element analysis based optimization , 2015 .

[30]  Michael A. Sutton,et al.  Digital Image Correlation for Shape and Deformation Measurements , 2008 .