Multiple Stress Field Singularities for Cracks Described by Real and Complex Exponents

• Autorzy: Molski, K. , Mieczkowski, G.
• Konferencja: International Conference on Modelling and Simulation of the Friction Phenomena in the Physical and Technical Systems "FRICTION 2008" (5 ; 31.05-1.06.2008 ; Warsaw, Poland) ; French-Polish Seminar of Mechanics (16 ; 31.05-1.06.2008 ; Warsaw, Poland)
• Języki publikacji: PL

Abstrakty

EN

The present paper deals with analytical and numerical solutions for multiple stress field singularities - real and oscillatory - at the crack tip. Such stress fields may appear in composite materials with cracks. Numerical values of generalised stress intensity factors, K _I^{(λ r)} , K _II^{(λ r)} (and higher order terms coefficients have been determined by using numerical FEM results and special approximate functions AF. Analytical and numerical calculations have been done as an example for a rigid square inclusion with symmetric cracks located along the bond and subjected to normal longitudinal and transverse loading.

Słowa kluczowe

PL

wytrzymałość materiałów; intensywność naprężeń; pęknięcie zmęczeniowe

EN

strength of materials; stress intensity; fatique crack growth

• Czasopismo: Machine Dynamics Problems
• Rocznik: 2008
• Tom: Vol. 32, No. 3
• Strony: 72-79
• Opis fizyczny: Bibliogr. 11 poz., wykr.

Twórcy

autor

Molski, K.

autor

Mieczkowski, G.

• Bialystok Technical University. Faculty of Mechanical Engineering,

Bibliografia

• Brahtz, J. H. A., 1933, Stress distribution in a reentrant corner, Trans. ASME, 55, 31-37.
• Dundurs, J., 1967, Effect of elastic constants on stress in a composite under plane deformation, J. Comp. Mater., 1, 310-322.
• Kalandija, A. I., 1969, Zamiecanija ob osobiennosti uprugich resenij vblizi uglov, Prikl. Mat. Mech., 33, 132-135.
• Mieczkowski, G., Molski, K., 2005, Stress field singularities for reinforcing fibre with single lateral crack, Solid Mechanics And Its Applications, 135, 185-192.
• Mieczkowski, G., Molski, K. L., Seweryn, A., 2007, Finite-element modeling of stresses and displacements near the tips of pointed inclusions, Materials Science, 43, 2, 183-194.
• Molski, K. L., Mieczkowski G., 2004a, Local displacement effects in the vicinity of interfacial crack tip, Fracture Mechanics of Materials and Structural Integrity, Academician of NASU V. V., Panasyuk, 325-331.
• Molski, K. L., Mieczkowski, G., 2004b, Stress and displacement fields at the vicinity of a sharp rigid inclusion with a lateral crack (original title in Polish: Rozkład naprężeń i przemieszczeń w okolicy wierzchołkowej ostrego wtrącenia z jednostronnym wzdłużnym pęknięciem), XII Francusko-Polskie Seminarium Mechaniki, 85-92.
• Molski, K. L., 2000, Application of unitary weight function in structure dimentioning using methods of fracture mechanics (original title in Polish: Zastosowanie jednostkowej funkcji wagowej w wymiarowaniu konstrukcji metodami mechaniki pękania), Oficyna Wydawnicza Politechniki Warszawskiej.
• Parton, V. Z., Perlin P. I., 1984, Mathematical Methods of the Theory of Elasticity, Mir Publishers, Moscow.
• Seweryn, A., Molski, K., 1996, Elastic stress singularities and corresponding generalized stress intensity factors for angular corners under various boundary conditions, Eng. Fracture Mechanics, 55, 529-556.
• Wolfram S., 2003, The Mathematica Book, 5th ed. Wolfram Media.