An analysis of the evaluation of the fracture energy using the DCB-specimen

• Autorzy: Biel A. , Stigh U.
• Konferencja: Solid Mechanics Conference (35 ; 04-08.09.2006 ; Cracow, Poland)
• Języki publikacji: EN

Abstrakty

EN

The methods to estimate the fracture energy using DCB-specimens as advocated in common standards. For instance, ASTM D 3433 and BS 7991:2001 are based on a compliance method, i.e. on linear elastic fracture mechanics (LEFM). Since the mechanical properties of almost all adhesives are non-linear, errors are generated. In some of the standards, the non-linear behaviour is compensated for by the use of correction terms generated from the experiments. An analysis of the methods of evaluation the fracture energy from experiments is performed. This analysis is performed first by simulating an experiment using realistic data for an engineering adhesive and then, by analysing the results with different methods. In this way, the correct fracture energy is known beforehand and the error in the evaluated fracture energy can be determined. In the present work it is shown that the magnitude of this error depends on the length of the crack. The results show that some commonly used methods generate substantial errors when a large region of non-linear deformation precedes the crack tip. It is also shown that methods based on nonlinear fracture methods do not produce this kind of error.

Słowa kluczowe

EN

fracture energy; DCB-specimen; adhesive; FE simulation; experimental results; compliance; LEFM; nonlinear fracture mechanics

PL

energia pękania; próbki DCB; złącze klejone; symulacja MES; wyniki doświadczalne; podatność; liniowo-sprężysta mechanika pękania; nieliniowa mechanika pękania

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2007
• Tom: Vol. 59, nr 4-5
• Strony: 311--327
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Biel A.

autor

Stigh U.

• University of Skovde SE-541 28 Skovde, Sweden

Bibliografia

• 1. G. R. IRWIN and J. A. KIES, Critical energy rate analysis of fracture strength, Weld. J., 33, Welding Research Supplement, 193-198, 1954.
• 2. J. P. SARGENT, Durability studies for aerospace applications using modus I and wedge tests, International Journal of Adhesion and Adhesives, 25, 247-256, 2005.
• 3. T. ANDERSSON and A. BIEL, On the effective constitutive properties of a thin adhesive layer loaded in peel, International Journal of Fracture, 141, 227-246, 2006.
• 4. V. TAMUZS, S. TARASOVS and U. VILKS, Delamination properties of translaminar-reinforced composites, Composites Science and Technology, 63, 1423-1431, 2003.
• 5. S. MOSTOVOY, P. B. CROSLEY and E. J. RIFLING, Use of Crack-Line-Loaded Specimens for Measuring Plane-Strain Fracture Toughness, Journal of Materials, 2, 661-668, 1967.
• 6. J. G. WILLIAMS, The fracture mechanics of delamination tests, The Journal of Strain Analysis for Engineering Design, 24, 4, 207-214, 1989.
• 7. H. TADA, P. C. PARIS and G. R. IRWIN, The stress analysis of cracks handbook, ASME Press, New York 2000.
• 8. J. P. BERRY, Determination of fracture surface energies by the cleavage technique, Journal of Applied Physics, 34, 62-68, 1963.
• 9. K. KAGEYAMA and M. HOJO, Proposed Methods for Interlaminar Fracture Toughness Tests of Composite Laminates, Proceedings of the 5-th U.S./Japan Conference on Composite Materials, Tokyo, 1990, 227-234, 1990.
• 10. J. D. ESHELBY, The force on an elastic singularity, Phil. Trans. R. Soc., London, A244, 87-112, 1951.
• 11. J. R. RICE, A path-independent integral and the approximation analysis of the concentration by notches and cracks, Journal of Applied Mechanics, 35, 379-386, 1968.
• 12. A. J. PARIS and P. C. PARIS, Instantaneous evaluation of J and C*, International Journal of Fracture, 38, 19-21, 1988.
• 13. U. STIGH and T. ANDERSSON, An experimental method to determine the complete stress-elongation relation for a structural adhesive layer loaded in peel, [in:] Fracture of Polymers, Composites and Adhesives, J.G. WILLIAMS and A. PAVAN [Eds.], ESIS publication 27, 297-306, 2000.
• 14. T. ANDERSSON, and U. STIGH, The stress-elongation relation for an adhesive layer loaded in modus I using equilibrium of energetic forces, International Journal of Solids and Structures, 41, 413-434, 2004.
• 15. P. OLSSON and U. STIGH, On the determination of the constitutive properties of the interphase layers - an exact solution, International Journal of Fracture, 41, 71-76, 1989.
• 16. F. NILSSON, A tentative method for determination of cohesive zone properties in soft materials, International Journal of Fracture, 136, 133-142, 2005.
• 17. B. F. S0RENSEN, Cohesive law and notch sensitivity, of adhesive joints, Acta Materialia, 50, 1053-1061, 2002.
• 18. British Standard BS7991:2001. 2001. Determination of the mode I adhesive fracture energy GIG of structure adhesives using the double cantilever beam (DCB) and tapered double cantilever beam (TDCB) specimens, British Standard Institution, London, Great Britain.
• 19. ASTM D 3433 1999. Fracture strength in cleavage of adhesives in bonded joints. American Society for Testing and Materials, Philadelphia, USA.
• 20. I. A. ASHCROFT, International Journal of Adhesion and Adhesives, 21, 87-99, 2001.