Fracture of the Nonlinear Multi-Layered Composites

• Autorzy: Jaroniek M.
• Języki publikacji: EN

Abstrakty

EN

Advanced mechanical and structural applications reąuire accurate assessment of the damage state of materials during the fabrications as well as during the service. Due to the complex naturę of the internal Structure of the materiał, composites including the layered composite often fail in a variety of modes. Fabrication of the functionally graded materials (FGM) can be obtained by layered mixing of two materials of different thermo-mechanical properties with different volume ratios gradually changed from layer to layer such that first layer has only a few particles of the other phase and last has maximum volume ratio of this other phase. The materiał (FGM) is functionally graded thermal and stress barrier. Between the ceramic layer and metallic bond layer there exist a functionally graded layer "2" that contains volume ofthe bond (metallic) phase as a function of the distance y from he bond layer and volume ratio of the ceramics phase also as a function of y distance from the bond layer. The failure modes very often are influenced by the local materiał properties that may develop in time under heat and pressure, local defect distribution, process induced residual stress. and other factors. Fracture problems in the layer can be studied using J integral in finite element method, because it is not path independent. Consider a laminate composite in plane stress conditions, multi-layered beam bonded to planes. The fracture mechanics problem will be analysed using the photoelastic visualisation ofthe fracture events in a model structure.

Słowa kluczowe

EN

composites; multi-layered beams; fracture mechanics; finite element method

PL

kompozyty; mechanika pękania; photoelastic method; metoda elementów skończonych

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2009
• Tom: Vol. 13, nr 2
• Strony: 5--21
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Jaroniek M.

• Technical University of Łódź, Department of Materials and Structures Strength Stefanowskiego 1/15, 90-924 Łódź, Poland

Bibliografia

• [1] Cherepanov G.P.: Mechanics of brittle fracture, Mc Graw - Hiłl, New York, 1979.
• [2] Cook T.S. and Erdogan F.: Stresses in bonded materials with a crack perpendicular to the interface, Int. Journ. of Engineering Science, Vol. 10, 677-697, 1972.
• [3] Frocht M.M.: Photoelasticity, John Wiley, New York, 1960.
• [4] Gupta A.G.: Layered composite with a broken laminate, International Journal of Solids and Structures, No36 (1845-1864), 1973.
• [5] Hilton P.D. and Sin G.C.: A laminate composite with a crack normal to interfaces, International Journal of Solids and Structures, No 7, 913, 1971.
• [6] Rychlewska J. and Woźniak C: Boundary layer phenomena in elastodynamics of functionally graded laminates, Archives of Mechanics, 58, 4-5, 431-444, 2006.
• [7] Sanford R.J. and Daily J.: A General Method For Determining Mixed-Mode Stress Intensity Factors From Isochromatic Fringe Patterns, -textitEng. Fract. Mech., Vol. 2, 621-633, 1979.
• [8] Szczepiński W.: A photoelastic method for determining stresses by means isochromes only, Arch. of Applied Mechanics, 5 (13), Warsaw, 1961.
• [9] Szymczyk J. and Woźniak C: Continuum modelling of laminates with a slowly graded microstructure, Archwes of Mechanics, 58, 4-5, 445-458, 2006.
• [10] Theocaris P.S. and Gdoutos E.E.: A photoelastic determination of KI stress intensity, factors,, Eng. Fact. Mech., Vol. 7,.331-139 , 1975.
• [11] User's Guide ANSYS:Ansys 9, Inc., Huston, USA, 2006.
• [12] Woźniak C: Nonlinear Macro-Elastodynamics of Microperiodic Composites, Buli. Ac. Poi. Sci.: Tech. Sci., 41, 315-321, 1993.
• [13] Woźniak C: Microdynamics: Continuum. Modelling the Simple Composite Materials, J. Theor. Appl. Mech., 33, 267-289, 1995.
• [14] Woźniak C: Nonlinear Macro-Elastodynamics of Microperiodic Composites, Buli. Ac. Poi. Set.: Tech. Set., 41, 315-321, 1993.
• [15] Woźniak C: Microdynamics: Continuum. Modelling the Simple Composite Materials, J. Theor. Appl. Mech., 33, 267-289, 1995.
• [16] Zienkiewicz O.C.: The Finite Element Method in Engineering Science, Mc Graw -HM, London, New York, 1971.