Numerical analysis of the ENF test for mode II wood fracture

Abstract A numerical study was performed on the End Notched Flexure (ENF) test to obtain the critical strain energy release rate ( G IIc ) of a clear Pinus pinaster wood, in the orthotropic directions TL and RL. Two-dimensional numerical analysis, including interface finite elements and a progressive damage model based on indirect use of Fracture Mechanics, was performed to simulate the ENF test. The numerical results were used as input data in the Corrected Beam Theory (CBT) and Compliance Calibration Method (CCM) to obtain G IIc . The influence of geometrical parameters and friction effects between the crack surfaces were evaluated. Moreover, some conclusions were drawn about the influence of cohesive shear strength on the load–displacement relationship and on measured G IIc . The main objective is to define adequate specimens for the ENF test in wood. Finally, on the basis of a two-dimensional approach, it was concluded that the used geometry allows obtaining rigorous values of G IIc , not only at initiation but also during a stable crack propagation. The CBT using an equivalent crack length approach proved to be accurate for the selected geometry.

[1]  J. Williams,et al.  Mixed Mode fracture in anisotropic media , 1976 .

[2]  Lars Boström,et al.  Method for determination of the softening behaviour of wood and the applicability of a nonlinear fracture mechanics model , 1992 .

[3]  Steven M. Cramer,et al.  Compact shear specimen for wood mode II fracture investigations , 1987 .

[4]  Hiroshi Yoshihara,et al.  Mode II R-curve of wood measured by 4-ENF test , 2004 .

[5]  Hans Albert Richard,et al.  A new compact shear specimen , 1981, International Journal of Fracture.

[6]  L. Daudeville,et al.  Fracture in spruce: experiment and numerical analysis by linear and non linear fracture mechanics , 1999, Holz als Roh- und Werkstoff.

[7]  Edward M. Wu,et al.  APPLICATION OF FRACTURE MECHANICS TO ORTHOTROPIC PLATES , 1963 .

[8]  A. T. Marques,et al.  Modeling Compression Failure after Low Velocity Impact on Laminated Composites Using Interface Elements , 1997 .

[9]  J. G. Williams,et al.  The use of a cohesive zone model to study the fracture of fibre composites and adhesively-bonded joints , 2003 .

[10]  D. E. Kretschmann,et al.  Effect of varying dimensions on tapered end-notched flexure shear specimen , 1995, Wood Science and Technology.

[11]  H. Wang,et al.  Computation analysis of interlaminar fracture of laminated composites , 1997 .

[12]  John W. Gillespie,et al.  On the Analysis and Design of the End Notched Flexure (ENF) Specimen for Mode II Testing , 1986 .

[13]  G. I. Barenblatt THE MATHEMATICAL THEORY OF EQUILIBRIUM CRACKS IN BRITTLE FRACTURE , 1962 .

[14]  H. Hogan,et al.  Energy Release Rates for the ENF Specimen Using a Beam on an Elastic Foundation , 1995 .

[15]  S. Stanzl-Tschegg,et al.  New splitting method for wood fracture characterization , 2004, Wood Science and Technology.

[16]  M. Kanninen,et al.  A finite element calculation of stress intensity factors by a modified crack closure integral , 1977 .

[17]  Michael F. Ashby,et al.  The fracture and toughness of woods , 1985, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[18]  Barry D. Davidson,et al.  Effect of Friction on the Perceived Mode II Delamination Toughness from Three- and Four-Point Bend End-Notched Flexure Tests , 2001 .

[19]  I. Smith,et al.  Bridging crack model for fracture of spruce , 2002 .

[20]  M. Ashby,et al.  Cellular solids: Structure & properties , 1988 .

[21]  P. Qiao,et al.  Novel beam analysis of end notched flexure specimen for mode-II fracture , 2004 .

[22]  Meng Gong,et al.  Fracture and fatigue in wood , 2003 .

[23]  P.M.S.T. de Castro,et al.  Interface element including point‐to‐surface constraints for three‐dimensional problems with damage propagation , 2000 .

[24]  Nuno Dourado,et al.  Wood: a quasibrittle material R-curve behavior and peak load evaluation , 2005 .

[25]  Z. Bažant Concrete fracture models: testing and practice , 2002 .

[26]  J. Murphy Mode II Wood Test Specimen: Beam with Center Slit , 1988 .

[27]  Barry D. Davidson,et al.  Mode II fracture toughness evaluation using four point bend, end notched flexure test , 1999 .

[28]  D. S. Dugdale Yielding of steel sheets containing slits , 1960 .

[29]  R. O. Foschi,et al.  Mode II stress-intensity factors for cracked wood beams , 1977 .

[30]  Barry D. Davidson,et al.  Evaluation of the accuracy of the four-point bend end-notched flexure test for mode II delamination toughness determination , 2000 .

[31]  M. Kortschot,et al.  A simplified beam analysis of the end notched flexure mode II delamination specimen , 1999 .

[32]  Hiroshi Yoshihara,et al.  Measurement of mode II fracture toughness of wood by the end-notched flexure test , 2000, Journal of Wood Science.

[33]  E. K. Tschegg,et al.  Models of wood fracture in Mode I and Mode II , 2007, Holz als Roh- und Werkstoff.