Three dimensional experimental and numerical multiscale analysis of a fatigue crack

A full three dimensional study of a fatigue crack in cast iron is presented. This analysis involves combining various tools, namely, Synchrotron X-ray microtomography of an in situ experiment, image acquisition and treatment, 3D volume correlation to measure 3D displacement fields, extraction of the crack geometry, eXtended Digital Volume Correlation to account for the crack displacement discontinuity, crack modeling in an elastic material exploiting the actual crack geometry, and finally estimation of stress intensity factors. All these different tasks are based on specific multiscale approaches.

[1]  Hilary Bart-Smith,et al.  Compressive deformation and yielding mechanisms in cellular Al alloys determined using X-ray tomography and surface strain mapping , 1998 .

[2]  E. Wolf.  Fatigue crack closure under cyclic tension , 1970 .

[3]  J. Hall,et al.  The multigrid method in solid mechanics: Part I—Algorithm description and behaviour , 1990 .

[4]  Stéphane Roux,et al.  Multiscale displacement field measurements of compressed mineral-wool samples by digital image correlation. , 2002, Applied optics.

[5]  M. Duflot.  A study of the representation of cracks with level sets , 2007 .

[6]  T. Belytschko,et al.  New crack‐tip elements for XFEM and applications to cohesive cracks , 2003 .

[7]  S. Roux,et al.  Three dimensional image correlation from X-Ray computed tomography of solid foam , 2007, 0712.2642.

[8]  I. Babuska,et al.  The Partition of Unity Method , 1997 .

[9]  Stéphane Roux,et al.  Stress intensity factor measurements from digital image correlation: post-processing and integrated approaches , 2006 .

[10]  D. Brandt,et al.  Multi-level adaptive solutions to boundary-value problems math comptr , 1977 .

[11]  Laurent Champaney,et al.  A multiscale computational strategy for crack propagation with local enrichment , 2005 .

[12]  Yuh J. Chao,et al.  Advances in Two-Dimensional and Three-Dimensional Computer Vision , 2000 .

[13]  Didier Bouvard,et al.  Deformation of steel powder compacts during sintering: Correlation between macroscopic measurement and in situ microtomography analysis , 2006 .

[14]  D. Bernard,et al.  Polymeric foam deformation under dynamic loading by the use of the microtomographic technique , 2007 .

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

[16]  Olivier Mathon,et al.  Invited article: the fast readout low noise camera as a versatile x-ray detector for time resolved dispersive extended x-ray absorption fine structure and diffraction studies of dynamic problems in materials science, chemistry, and catalysis. , 2007, The Review of scientific instruments.

[17]  Laurent Champaney,et al.  A two-scale approach with homogenization for the computation of cracked structures , 2007 .

[18]  Dominique Bernard,et al.  First direct 3D visualisation of microstructural evolutions during sintering through X-ray computed microtomography , 2005 .

[19]  M. Sutton,et al.  Full-field speckle pattern image correlation with B-Spline deformation function , 2002 .

[20]  E. Maire,et al.  Finite element modelling of the actual structure of cellular materials determined by X-ray tomography , 2005 .

[21]  Stéphane Roux,et al.  An extended and integrated digital image correlation technique applied to the analysis of fractured samples , 2009 .

[22]  Henry Proudhon,et al.  Three-dimensional visualisation of fatigue cracks in metals using high resolution synchrotron X-ray micro-tomography , 2006 .

[23]  D. Bernard,et al.  Impact test deformations of polypropylene foam samples followed by microtomography , 2006 .

[24]  Wolfgang G. Knauss,et al.  Perspectives in experimental solid mechanics , 2000 .

[25]  T. Belytschko,et al.  Extended finite element method for three-dimensional crack modelling , 2000 .

[26]  Zhigang Suo,et al.  New directions in mechanics , 2005 .

[27]  R. Huiskes,et al.  A three-dimensional digital image correlation technique for strain measurements in microstructures. , 2004, Journal of biomechanics.

[28]  Kentaro Uesugi,et al.  High-density three-dimensional mapping of internal strain by tracking microstructural features , 2008 .

[29]  Michael A. Sutton,et al.  Local crack closure measurements: Development of a measurement system using computer vision and a far-field microscope , 1999 .

[30]  M. Sutton,et al.  Estimation of stress intensity factor by digital image correlation , 1987 .

[31]  Alain Combescure,et al.  Appropriate extended functions for X-FEM simulation of plastic fracture mechanics , 2006 .

[32]  I. Sinclair,et al.  Assessment of the fatigue crack closure phenomenon in damage-tolerant aluminium alloy by in-situ high-resolution synchrotron X-ray microtomography , 2003 .

[33]  Johann Rannou,et al.  A local multigrid X‐FEM strategy for 3‐D crack propagation , 2009 .

[34]  B. Moran,et al.  An interaction energy integral method for computation of mixed-mode stress intensity factors along non-planar crack fronts in three dimensions , 2002 .

[35]  Luc Salvo,et al.  In-situ three-dimensional microstructural investigation of solidification of an Al-Cu alloy by ultrafast x-ray microtomography , 2005 .

[36]  Franccois Hild,et al.  Digital Image Correlation: from Displacement Measurement to Identification of Elastic Properties – a Review , 2006 .

[37]  Stuart R. Stock,et al.  Direct observation of crack opening as a function of applied load in the interior of a notched tensile sample of AlLi 2090 , 1997 .

[38]  Jacob Fish,et al.  An efficient multilevel solution scheme for large scale non-linear systems , 1995 .

[39]  M. Zivkovic,et al.  Extended Finite Element Method for Two-dimensional Crack Modeling , 2008 .

[40]  Anthony Gravouil,et al.  Fatigue crack propagation: In situ visualization using X-ray microtomography and 3D simulation using the extended finite element method , 2006 .

[41]  E. Maire,et al.  Three-dimensional analysis of a compression test on stone wool , 2009 .

[42]  M. M. Rashid,et al.  Digital volume correlation including rotational degrees of freedom during minimization , 2002 .

[43]  Ian Sinclair,et al.  A 3D measurement procedure for internal local crack driving forces via synchrotron X-ray microtomography , 2004 .

[44]  S. Roux,et al.  Stress Intensity Factor Gauging by Digital Image Correlation: Application in Cyclic Fatigue , 2007 .

[45]  T. Belytschko,et al.  Non‐planar 3D crack growth by the extended finite element and level sets—Part II: Level set update , 2002 .

[46]  John E. Dolbow,et al.  Domain integral formulation for stress intensity factor computation along curved three-dimensional interface cracks , 1998 .

[47]  M. Glas,et al.  Principles of Computerized Tomographic Imaging , 2000 .

[48]  Stéphane Roux,et al.  Noise-robust Stress Intensity Factor Determination from Kinematic Field Measurements , 2008 .

[49]  Henning Friis Poulsen,et al.  Measurements of plastic displacement gradient components in three dimensions using marker particles and synchrotron X-ray absorption microtomography , 2003 .

[50]  Peter Cloetens,et al.  Characterization of internal damage in a MMCp using X-ray synchrotron phase contrast microtomography , 1999 .

[51]  Brian K Bay,et al.  Trabecular bone strain changes associated with subchondral stiffening of the proximal tibia. , 2003, Journal of biomechanics.

[52]  E. Gdoutos,et al.  Fracture Mechanics , 2020, Encyclopedic Dictionary of Archaeology.

[53]  José Baruchel,et al.  X-Ray Tomography in Material Science , 2000 .

[54]  Miss A.O. Penney.  (b) , 1974, The New Yale Book of Quotations.

[55]  Ares J. Rosakis,et al.  Dynamic failure mechanics , 2000 .

[56]  Françoise Peyrin,et al.  Observation of microstructure and damage in materials by phase sensitive radiography and tomography , 1997 .

[57]  Dominique Jeulin,et al.  Mesure tridimensionnelle de champs cinématiques par imagerie volumique pour l'analyse des matériaux et des structures , 2004 .

[58]  B. Bay.  Texture correlation: A method for the measurement of detailed strain distributions within trabecular bone , 1995, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[59]  Ted Belytschko,et al.  A finite element method for crack growth without remeshing , 1999 .

[60]  J. Tinsley Oden,et al.  Research directions in computational mechanics , 2003 .

[61]  B. Bay,et al.  Digital volume correlation: Three-dimensional strain mapping using X-ray tomography , 1999 .

[62]  Stéphane Roux,et al.  Extended digital image correlation with crack shape optimization , 2008 .

[63]  James A. Sethian,et al.  Level Set Methods and Fast Marching Methods , 1999 .

[64]  Fabrice Morestin,et al.  Estimation of mixed-mode stress intensity factors using digital image correlation and an interaction integral , 2005 .

[65]  N. Moës,et al.  Improved implementation and robustness study of the X‐FEM for stress analysis around cracks , 2005 .

[66]  Gioacchino Viggiani,et al.  Volumetric Digital Image Correlation Applied to X‐ray Microtomography Images from Triaxial Compression Tests on Argillaceous Rock , 2007 .

[67]  W. Bender,et al.  The morphology of high volume fraction solid-liquid mixtures: An application of microstructural tomography , 1997 .

[68]  T. Belytschko,et al.  Non‐planar 3D crack growth by the extended finite element and level sets—Part I: Mechanical model , 2002 .

[69]  Laurent Babout,et al.  Characterization by X-ray computed tomography of decohesion, porosity growth and coalescence in model metal matrix composites , 2001 .

[70]  Stéphane Roux,et al.  Shear-band capturing using a multiscale extended digital image correlation technique , 2007 .