Use of diffuse approximation on DIC for early damage detection in 3D carbon/epoxy composites

Abstract This work is part of a global experimental approach aiming at studying the damage and rupture of 3D carbon/epoxy composites and based on multiinstrumented experiments. It focuses on the use of digital image correlation (DIC) in order to detect the development of local non-linearities corresponding to damage (with no other non-linearities) and is limited to small deformation. To that purpose, the strain field is required, hence derived from the measured displacement field, through a diffuse approximation algorithm. This approach is detailed and studied in terms of filtering and some criteria are proposed to choose the filtering parameters. A pragmatic approach based on the evolution of the linear approximation of the strain is proposed in order to detect local non-linearities leading to a local damage indicator. The effect of the filtering on the damage detection is then discussed.

[1]  Michael R Wisnom,et al.  Full-field assessment of the damage process of laminated composite open-hole tensile specimens. Part I: Methodology , 2007 .

[2]  P. Feissel.  From Displacement to Strain , 2012 .

[3]  J. Brandt,et al.  Mechanical performance of composites based on various three-dimensional woven-fibre preforms , 1996 .

[4]  Michael R Wisnom,et al.  Full-field assessment of the damage process of laminated composite open-hole tensile specimens. Part II: experimental results , 2007 .

[5]  M. Grédiac,et al.  Investigation of the grid method for accurate in-plane strain measurement , 2009 .

[6]  Vincent J. Parks.  Strain Measurement Using Grids , 1982 .

[7]  Rébécca Berge-Gras,et al.  Optimisation de la dérivation en fonction de la Résolution et de la Résolution Spatiale sur les déformations , 2009 .

[8]  Adrian P. Mouritz,et al.  Review of applications for advanced three-dimensional fibre textile composites , 1999 .

[9]  P. Villon,et al.  Moving least squares response surface approximation: Formulation and metal forming applications , 2005 .

[10]  Ignacio Lira,et al.  The uncertainty of experimental derivatives: application to strain measurement , 2004 .

[11]  Fred J. Hickernell,et al.  Radial basis function approximations as smoothing splines , 1999, Appl. Math. Comput..

[12]  Laurent Robert,et al.  Digital image correlation: displacement accuracy estimation , 2010 .

[13]  Stéphane Avril,et al.  Comparison of two approaches for differentiating full-field data in solid mechanics , 2009 .

[14]  Piotr Breitkopf,et al.  Simultaneous surface and tetrahedron mesh adaptation using mesh‐free techniques , 2003 .

[15]  Mgd Marc Geers,et al.  Computing strain fields from discrete displacement fields in 2D-solids , 1996 .

[16]  I. Verpoest,et al.  Local strain in a 5-harness satin weave composite under static tension: Part II ― Meso-FE analysis , 2011 .

[17]  Y. Hon,et al.  Reconstruction of numerical derivatives from scattered noisy data , 2005 .

[18]  John G. Michopoulos,et al.  Performance Analysis of the Mesh‐Free Random Grid Method for Full‐Field Synthetic Strain Measurements , 2012 .

[19]  M. Grédiac,et al.  Assessment of Digital Image Correlation Measurement Errors: Methodology and Results , 2009 .

[20]  S. Tsai,et al.  Introduction to composite materials , 1980 .

[21]  André Chrysochoos,et al.  An infrared image processing to analyse the calorific effects accompanying strain localisation , 2000 .

[22]  John G. Michopoulos,et al.  Performance Sensitivity Analysis of the Mesh-Free Random Grid Method for Whole Field Strain Measurements , 2008 .

[23]  W. Cleveland,et al.  Smoothing by Local Regression: Principles and Methods , 1996 .

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

[25]  L. Ye,et al.  Mode-I interlaminar fracture behaviour of weft-knitted fabric reinforced composites , 2005 .

[26]  Stéphane Roux,et al.  Integrated Digital Image Correlation for the Identification of Mechanical Properties , 2009, MIRAGE.

[27]  Yiu-Wing Mai,et al.  Improving the delamination resistance of CFRP by stitching—a review , 1994 .

[28]  Stéphane Avril,et al.  Estimation of the strain field from full-field displacement noisy data , 2008 .

[29]  Pierre Villon,et al.  On a consistent field transfer in non linear inelastic analysis and ultimate load computation , 2008 .

[30]  Bertrand Lascoup,et al.  Impact response of three-dimensional stitched sandwich composite , 2010 .

[31]  G. Nicoletto,et al.  Mesomechanic strain analysis of twill-weave composite lamina under unidirectional in-plane tension , 2008 .

[32]  Stéphane Roux,et al.  Voxel-Scale Digital Volume Correlation , 2011 .

[33]  Delphine Brancherie,et al.  Digital Image Correlation technique: Application to early fatigue damage detection in stainless steel , 2010 .

[34]  Robert E. Rowlands,et al.  Smoothing finite-element and experimental hybrid technique for stress analyzing composites , 1991 .

[35]  Z. Aboura,et al.  A New Generation of 3D Composite Materials: Advantage and Disadvantage , 2009 .

[36]  S. Roux,et al.  “Finite-Element” Displacement Fields Analysis from Digital Images: Application to Portevin–Le Châtelier Bands , 2006 .

[37]  Ignace Verpoest,et al.  Full field strain measurements for validation of meso-FE analysis of textile composites , 2008 .