Fatigue crack propagaion under mixed mode loading |
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Authors: | Cao Gui-xin Ju Ding-yi |
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Affiliation: | Department of Mechanical Engineering, East China Institute of Chemical Technology, Shanghai |
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Abstract: | Mixed model fatigue crack propagation is analyzed in this paper, using a centre cracked plate geometry, loaded under uniaxial cyclic tension. Based on maximum principal stress criterion, a modified Paris expression of fatigue crack growth rate is derived in terms of K and crack angle 0 for an inclined crack. It is also shown that it is more convenient to express the Paris equation by means of crack lengthprojected on the x—axis, ax rather than the actual length, a itself. The crack trajectory due to cyclic loading is predicted. 0 is varied from 29° to 90°. Experimental data on Type L3 aluminium agree fairly well with predicted values when 0 exceeds 30°.Notation a Half-length of inclined crack - ax Length of the half length of inclined crack when jected on the x-axis - a Crack growth increment - da/dN Rate of fatigue crack propagation - dax/dN Rate of fatigue crack propagation when projected along the x-axis - aij Variables in Sih's strain energy density factor equation - C, m Coefficient and exponent in Paris equation respectively - KIKIIKIII Opening, sliding and tearing mode stress intensity factors factors respectively - K Stress intensity factor range - k Stress intensity factor range in Sih's equation - Kx Stress intensity factor range when crack length is projected on the x-axis - Kth Threshold stress intensity factor range - S Strain energy density factor range - Crack angle, which is the angle made by crack plane with the loading axis - 0 Value of of the original inclined crack - f(0) Function of 0 - Angle between the direction of a certain point on the crack trajectory and the horizontal axis - 0 Direction of crack growth with respect to crack plane - Shear modulus - v Poisson's ratio - Stress range |
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Keywords: | laser buckling thermal shock |
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