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A crack between two dissimilar media

Autorzy
Identyfikatory
Warianty tytułu
Konferencja
Summer School Of Fracture Mechanics. Current Research On Fatigue And Fracture/sympozjum (VII ; 18-22.06.2001 ; Opole - Pokrzywna, Poland)
Języki publikacji
EN
Abstrakty
EN
The present paper deals with the assessment of strength of a structure with a crack located between two different elastic materials subjected to extensional and in-plane non-uniform loading. Some problems concerned with the complex exponent of the stress field, oscillatory singularity range near the crack tip and interpretation of stress intensity factors KI and KII are discussed. New modified stress intensity factors KI and KII are proposed and analytical formulae of the stress field components around the crack tip are given. Theoretical results of the stresses are compared to the numerical ones obtained by means of the boundary element method BEM. Normalised weight functions are also obtained which enable to determine numerical values of the stress intensity factors KI and KII for any normal and shear stresses released along the crack surfaces. Dugdale strip yield model is also extended to interfacial crack. Some particular solutions of the model are presented for various material constants and loading conditions. Crack opening displacement parameter based on the energy approach is also derived and discussed.
Rocznik
Tom
Strony
183--202
Opis fizyczny
Bibliogr. 24 poz., il., tab., wykr.
Twórcy
autor
  • Inst. of Cranes & Heavy Machinery Eng. Warsaw University of Technology, 02-524 Warsaw, Poland
Bibliografia
  • [1] WILLIAMS M.L., The Stresses around a Fault or Crack in Dissimilar Media, Bull. Seismol. Soc. Amer., (1959) Vol. 49, pp. 199-204
  • [2] SALGANIK R.L., The Brittle Fracture of Cemented Bodies, Prikl. Mat. Mech. (1963) Vol. 27, pp. 1948 [in Russian]
  • [3] ERDOGAN F., Stress Distribution in a Nonhomogeneous Elastic Plane with Cracks, Trans. ASME, Ser.E, J. Applied Mech., (1963) Vol. 30, pp. 232-236
  • [4] ENGLAND A.H., A Crack Between Dissimilar Media, J. Applied Mech., Vol. 32. (1965) pp. 400-402
  • [5] RICE J.R. and SIH G.C., Plane Problems of Cracks in Dissimilar Media, Trans. ASME, Ser.E, J. Appl. Mech., (1965) Vol 32, pp. 418-423
  • [6] GOTOH M., Some Problems of Bonded Anisotropic Plates with Cracks along the Bond, Int. J. Fracture Mech., (1967) Vol. 3, pp. 253-267
  • [7] LOEBER J.F., SIH G.C., Green’s Function for Cracks in Nonhomogeneous Materials, Trans. ASME. Ser.E, J. Appl. Mech., (1967) Vol. 34, pp. 240-243
  • [8] CLEMENTS D.L. (1971), A Crack between Dissimilar Anisotropic Media, Int. Journal Engng. Sci., Vol. 9, pp. 257-265
  • [9] WILLIS J.R, Fracture Mechanics of Interfacial Cracks, J. Mech. and Phys. Solids, (1971) Vol. 19, pp. 353-368
  • [10] SIH G.C., Handbook of Stress Intensity Factors, Lehigh University, Bethlehem, Pennsylvania (1973)
  • [11] THEOCARIS P.S., Partly Unbonded Interfaces between Dissimilar Materials under Normal and Shear Loading, Acta Mech., (1976) Vol. 24, pp. 99-115
  • [12] ATKINSON C., On Stress Singularities and Interfaces in Linear Elastic Fracture Mechanics, Int. J. Fracture, (1977) Vol. 13, pp. 807-820
  • [13] SINCLAIR G.B., On the Stress Singularity at an Interface Crack, Trans. ASME, Ser. E, J. Appl. Mech., (1980) Vol. 16, pp. 111-119
  • [14] THEOCARIS P.S., STASSINAKIS C.A., Complex Stress Intensity Factors at Tips of Cracks along Interfaces of Dissimilar Media, Engng. Frac. Mech. (1981) Vol. 14, pp. 363-372
  • [15] SIH G.C., CHEN E.P., Cracks in Composite Materials, Chpt.3 (Mechanics of Fracture VI), ed. by G.C. Sih, Martinus Nijhoff Publishers, Hague (1981)
  • [16] YAU J.F., WANG S.S., An Analysis of Interface Cracks between Dissimilar Isotropic Materials Using Conservation Integrals in Elasticity, Engng. Frac. Mech., (1984) Vol. 20, pp. 423-432
  • [17] MURAKAMI Y., Stress Intensity Factors Handbook, Pergamon Press, (1987) Vol.8, pp. 429-492
  • [18] MOLSKI K.L., Computer Aided Assessment of Stress Intensities for Cracks. Computational Methods in Fracture Mechanics, Computational Mechanics Publications, Southampton, (1992) Vol. 2, pp. 301-313
  • [19] SEWERYN A., MRÓZ Z., A Non-local Stress Failure Condition for Structural Elements under Multiaxial Loading, Eng. Frac. Mech. (1995) Vol.51, pp. 955-973
  • [20] SEWERYN A., MRÓZ Z., A Non-local Stress Failure and Fatigue Damage Accumulation Condition, In. Multiaxial Fatigue and Design (eds Pineau A., Cailletaud G., Lindley T.C.), Mech. Eng. Publ., (1996) pp. 259-280, London
  • [21] MOLSKI K.L., TRUSZKOWSKI W., Determination of K, and K., for Curvilinear Cracks under a Non-Uniform Biaxial Stress Field, Fatigue & Fracture of Engineering Materials & Structures, (1996) Vol. 19, No. 10, pp. 1255-1263
  • [22] SEWERYN A., MOLSKI K.L., Elastic Stress Singularities and Corresponding Generalized Stress Intensity Factors for Angular Corners Under Various Boundary Conditions, Eng. Fracture Mechanics, (1996) Vol. 55, 4, pp. 529-556
  • [23] LOBODA V., Interface Crack under Biaxial Load, 5-th Int. Conference on Biaxial/Multiaxial Fatigue and Fracture, Cracow, (1997) Vol. 2, pp. 487-501
  • [24] MOLSKI K.L., SEWERYN A., Complex Exponent of the Stress Field Near the Sharp Corner - Numerical Approach, Proc. of the XVII-th Symposium of Fatigue and Fracture of Materials and Structures, Bydgoszcz, Poland (1998) [in Polish]
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPOG-0020-0010
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