Process Zone Length and Fracture Energy of Spruce Wood in Mode-I from Size Effect

Authors

  • Simon Aicher

Keywords:

Fracture, fracture energy, Mode I, size effect, process zone, spruce, wood

Abstract

This article reports on the determination of fracture energy and fracture process zone length in Mode I fracture of European spruce wood loaded in tension perpendicular to the fiber direction based on Bazant's size effect law. Within the size effect model, fracture energy and fracture process zone length are correlated and represent unambiguous limit values for large structures or specimens. The model parameters were derived from an earlier experimental size effect study on specific single-edge notched beam specimens with a scale range of 1:32. The Mode I fracture energy range of 250-290 N/m, derived from the size effect law, is in agreement with fracture energies obtained for the same specimens based on external work to complete specimen failure. The elastically equivalent length of the fully developed fracture process zone ahead of the nominal crack tip was determined to be in the range of about 2 mm. The stated independent proof of the correlated fracture energy confirms the validity of the derived size of the fracture process zone. Furthermore, fracture process zone size obtained is in close agreement with a previous result for eastern Canadian spruce, a finding based on scanning electron microscopy.

References

Aicher S (1992) Fracture and size effect law for spruce and oak in mode I and mixed mode I and II. Proc RILEM TC 133 Meeting, LRBB, Bordeaux, France.nAicher S (1994) Fracture energy, critical strain energy release rate and fracture toughness of spruce in tension perpendicular to grain. Holz Roh Werkst 52(6):361-370 [in German].nAicher S, Reinhardt HW, Klöck W (1993) Non linear fracture mechanics size effect law for spruce in tension perpendicular to grain. Holz Roh Werkst 51(6):385-394 [in German].nAicher S, Schmidt J, Brunold S (1995) Design of timber beams with holes by means of fracture mechanics. Paper 28-19-4 in Proc CIB W18 Meeting 28; Copenhagen, Denmark.nBazant ZP (1984) Size effect in blunt fracture: Concrete, rock, metal. J Eng Mech 110:518-525.nBazant ZP (1987) Fracture energy of heterogeneous materials and similitude. Pages 390-402 in Proc SEMRILEM Int Conf on Fracture of Concrete and Rock; Houston, TX.nBazant ZP, Cedolin L (1991) Stability of structures: Elastic, inelastic, fracture and damage theories. Oxford University Press, New York, NY.nBazant ZP, Kazemi MT (1990) Determination of fracture energy, process zone length and brittleness number from size effect, with application to rock and concrete. Int J Fract 44:111-131.nBazant ZP, Pfeiffer PA (1987) Determination of fracture energy from size effect and brittleness number. ACI Materials Journal Nov-Dec:463-480.nBoström L (1992) Method for determination of the softening behaviour of wood and the applicability of a nonlinear fracture mechanics model. PhD Thesis, Report TVBM-1012, Lund University, Lund, Sweden.nBrown WF, Srawley JE (1966) Plane strain crack toughness testing of high strength metallic materials. ASTM STP 410, American Society for Testing and Materials, Philadelphia, PA.nDill-Langer G (2004) Schädigung von Brettschichtholz bei Zugbeanspruchung rechtwinklig zur Faserrichtung. PhD Thesis, Materials Testing Institute, University Stuttgart, Stuttgart, Germany [in German].nDill-Langer G, Lütze S, Aicher S (2000) Microfracture in wood monitored by confocal laser scanning microscopy. Wood Sci Technol 36:487-499.nDugdale DS (1960) Yielding of steel sheets containing slits. J Mech Phys Solids 8:100-108.nHillerborg A, Modéer M, Petersson PE (1976) Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cement Concr Res 6(6):773-782.nLandis EN, Vasic S, David WG, Parrod P (2002) Coupled experiments and simulations of microstructural damage in wood. Exp Mech 42(4):389-394.nLarsen HJ, Gustafsson PJ (1989) Design of endnotched beams. Paper 22-10-1 in Proc CIB W18 Meeting 22, Vol. II; Berlin, Germany.nLarsen HJ, Gustafsson PJ (1990) The fracture energy of wood in tension perpendicular to the grain—results from a joint testing project. Paper 23-10-12 in Proc CIB W18 Meeting 23; Lisbon, Portugal.nMorel S, Mourot G, Schmittbuhl J (2003) Influence of the specimen geometry on R-curve behaviour and roughening of fracture surfaces. Int J Fract 121(1-2): 23-42.nMorel S, Valentin G (1996) Size effect in crack shear strength of wood. J. de Physique IV Colloque C6(Suppl): C6-385-C6-393.nN N (1990) Size-effect method for determining fracture energy and process zone size of concrete. RILEM draft recommendations. Mater Struct 23:461-465.nPetterson RW, Bodig J (1983) Prediction of fracture toughness of conifers. Wood Fiber Sci 15(4):302-316.nReinhardt HW (1984) Fracture mechanics of an elastic softening material like concrete. Heron 29(2):1-42.nReiterer A (2001) The influence of temperature on the mode I fracture behaviour of wood. J Mater Sci Lett 20:1905-1907.nReiterer A, Stanzl-Tschegg SE, Tschegg EK (2000) Mode I fracture and acoustic emission of softwood and hardwood. Wood Sci Technol 34(5):417-430.nSih GC, Paris PC, Irwin GR (1965) On cracks in rectilinearly anisotropic bodies. Int J Fracture Mech 1:189-203.nSmith I, Chui YH (1994) Factors affecting mode I fracture energy of plantation-grown red pine. Wood Sci Technol 28(2):147-157.nSmith I, Landis E, Gong M (2003) Fracture and fatigue in wood. John Wiley & Sons Ltd, Chichester, UK.nStanzl-Tschegg SE, Tan DM, Tschegg EK (1995) New splitting method for wood fracture characterisation. Wood Sci Technol 29(1):31-50.nVasic S, Smith I (2002) Bridging crack model for fracture of spruce. Eng Fract Mech 69:745-760.nVasic S, Smith I, Landis E (2002) Fracture zone characterization—Micro-mechanical study. Wood Fiber Sci 34(1):42-56.n

Downloads

Published

2010-04-05

Issue

Section

Research Contributions