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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    International journal of fracture 103 (2000), S. 19-39 
    ISSN: 1573-2673
    Keywords: Elasticity ; composite material ; fracture mechanics ; fiber ; generalized stress intensity factor ; end effect ; interaction ; rectangular inclusions.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract To evaluate the mechanical strength of fiber reinforced composites it is necessary to consider singular stresses at the end of fibers because they cause crack initiation, propagation, and final failure. The singular stress is expressed by generalized stress intensity factors defined at the corner of fibers. As a 2D model an interaction between rectangular inclusions under longitudinal tension is treated in this paper. The body force method is used to formulate the problem as a system of singular integral equations with Cauchy-type or logarithmic-type singularities, where the unknown functions are the densities of body forces distributed in infinite plates having the same elastic constants as those of the matrix and inclusions. In order to analyze the problem accurately, the unknown functions are expressed as piecewize smooth functions using two types of fundamental densities and power series, where the fundamental densities are chosen to represent the symmetric stress singularity of 1/r 1−λ 1 and the skew-symmetric stress singularity of 1/r 1−λ 2. Then, generalized stress intensity factors at the end of inclusions are systematically calculated for various locations, spacings and elastic modulus of two rectangular inclusions in a plate subjected to longitudinal tension.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    International journal of fracture 105 (2000), S. 367-389 
    ISSN: 1573-2673
    Keywords: Stress intensity factor ; tribology ; contact problem ; friction coefficient ; fracture mechanics ; rolling contact fatigue ; surface crack ; body force method.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract In rolling/sliding contact fatigue, it is known that the crack propagates at a characteristic angle θ=15–30 deg to the surface. To analyze the mechanism, however, the body force method has been widely used assuming 3D crack models for θ=45–90. In this study, therefore, the unknown body force densities are newly approximated by using fundamental density functions and polynomials. Then, a semi-elliptical crack model is analyzed for θ=15–90 under compressive residual stresses and Hertzian contact loads. The stress intensity factors K II, K III are calculated with varying the crack shape b/a, inclination crack angle θ, and crack face friction coefficient μ. The calculations show that the present method is useful for the analysis for θ=15–30 deg with high accuracy. It is seen that the K II-values when b/a→0 are larger than the ones when b/a=1 by 0–24% for both under compressive residual stress and Hertzian contact load. Regarding the maximum K II values under Hertzian contact load, the results of θ=15 deg are smaller than the ones of θ=45 deg by 23–34%. Regarding the amplitude of (K II max−K II min), the results of θ=15 deg are smaller than the ones of θ=45 deg by 4–24%. With increasing the value of friction coefficient μ for crack faces the value of K II decreases significantly. When the crack is short and the inclination angle θ is small, the value of friction coefficient f for Hertzian contact load largely affect the K II value.
    Type of Medium: Electronic Resource
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