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  • 11
    Electronic Resource
    Electronic Resource
    s.l. ; Stafa-Zurich, Switzerland
    Key engineering materials Vol. 353-358 (Sept. 2007), p. 2449-2452 
    ISSN: 1013-9826
    Source: Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: In this study, a rectangular interfacial crack in three dimensional bimaterials is analyzed.First, the problem is formulated as a system of singular integral equations on the basis of the bodyforce method. In the numerical analysis, unknown body force densities are approximated by theproducts of the fundamental density functions and power series, where the fundamental densityfunctions are chosen to express a two-dimensional interface crack exactly. The calculation showsthat the present method gives smooth variations of stress intensity factor along the crack front forvarious aspect ratios. The present method gives rapidly converging numerical results and highlysatisfied boundary conditions throughout the crack boundary. It is found that the stress intensityfactors K1 and K2 are determined by bimaterials constant e alone, independent of elastic modulusratio and Poisson's ratio
    Type of Medium: Electronic Resource
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  • 12
    Electronic Resource
    Electronic Resource
    s.l. ; Stafa-Zurich, Switzerland
    Key engineering materials Vol. 353-358 (Sept. 2007), p. 3100-3103 
    ISSN: 1013-9826
    Source: Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: In this study, singular stress fields at the ends of fibers are discussed by the use of models ofrectangular and cylindrical inclusions in a semi-infinite body under pull-out force.The body forcemethod is used to formulate those problems as a system of singular integral equations where theunknown functions are densities of the body forces distributed in a semi-infinite body having the sameelastic constants as those of the matrix and inclusions.Then generalized stress intensity factors at thecorner of rectangular and cylindrical inclusions are systematically calculated with varying the elasticratio, length, and spacing of the location from edge to inner of the body. The effects of elastic modulusratio and aspect ratio of inclusion upon the stress intensity factors are discussed
    Type of Medium: Electronic Resource
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  • 13
    Electronic Resource
    Electronic Resource
    s.l. ; Stafa-Zurich, Switzerland
    Key engineering materials Vol. 385-387 (July 2008), p. 169-172 
    ISSN: 1013-9826
    Source: Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Usually, development of automobile brake hose and power steering hose has been realizedthrough evaluating several actual prototype hoses experimentally. Recently, high durability and highdevelopment effect for brake hose has been required because periodic exchange for the brake hosehas not been requested any more. In this study, therefore, stress analysis by FEM is performed to thecrimped portion of hydraulic pressure brake hose in order to promote the development of theautomobile hoses more efficiently. It is found that large normal stresses σr in the radial directionappear at the crimped portion between the nipple and inner rubber. The results suggest that severalgrooves on the nipple surface may be useful because they cause large σr, which may improve thesealing performance. The effect of permanent deformation of the rubber on the sealing performanceis discussed by assuming initial deformation of the rubber at the crimped portion
    Type of Medium: Electronic Resource
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  • 14
    Electronic Resource
    Electronic Resource
    s.l. ; Stafa-Zurich, Switzerland
    Key engineering materials Vol. 385-387 (July 2008), p. 513-516 
    ISSN: 1013-9826
    Source: Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Cast iron and steel conveying rollers used in hot rolling mills must be changed veryfrequently because conveyed strips with high temperature induces wear on the roller surface in shortperiods. This failure automatically stops the production line for repair and maintenance ofconveying rollers. In this study a new type of roller is considered where a ceramics sleeve isconnected with two short shafts at both ends by shrink fitting. Here, a ceramics sleeve provideslonger life and therefore reduces the cost for the maintenance. However, for the hollow ceramicsrollers, care should be taken for maximum tensile stresses appearing at both edges of the sleeve.In particular, because fracture toughness is extremely smaller compared with the value of steel,stress analysis for the roller is necessary for ceramics sleeve. In this study FEM analysis is appliedto the structure, and the maximum stress has been investigated with varying the dimensions of thestructure. It is found that the maximum tensile stress appearing at the end of sleeves takes aminimum value at a certain amount of shrink fitting ratio
    Type of Medium: Electronic Resource
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  • 15
    Electronic Resource
    Electronic Resource
    s.l. ; Stafa-Zurich, Switzerland
    Key engineering materials Vol. 385-387 (July 2008), p. 793-796 
    ISSN: 1013-9826
    Source: Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Crack problems are reducible to singular integral equations with strongly singular kernelsby means of the body force method. In the ordinary method, the integral equations are reduced to asystem of linear algebraic equations. In this paper, an iterative method for the numerical solution ofthe hypersingular integral equations of the body force method is proposed. This method is based onthe Gauss- Chebyshev numerical integration rule and is very simple to program. The solution isachieved without solving the system of linear algebraic equations. The proposed method is appliedto some plane elasticity crack problems and is seen to give convergent results
    Type of Medium: Electronic Resource
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  • 16
    Electronic Resource
    Electronic Resource
    Springer
    International journal of fracture 102 (2000), S. 371-392 
    ISSN: 1573-2673
    Keywords: Elasticity ; body force method ; singular integral equations ; numerical analysis ; three-dimensional analysis ; stress concentration factor ; ellipsoidal inclusion.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract In this paper the interaction among a row of N ellipsoidal inclusions of revolution is considered. Inclusions in a body under both (A) asymmetric uniaxial tension in the x-direction and (B) axisymmetric uniaxial tension in the z-direction are treated in terms of singular integral equations resulting from the body force method. These problems are formulated as a system of singular integral equations with Cauchy-type or logarithmic-type singularities, where unknowns are densities of body forces distributed in the r,θ,z directions. In order to satisfy the boundary conditions along the ellipsoidal boundaries, the unknown functions are approximated by a linear combination of fundamental density functions and polynomials. The present method is found to yield rapidly converging numerical results for interface stresses. When the elastic ratio E 1⇒E I/E M〉1, the primary feature of the interaction is a large compressive or tensile stress σn on the interface θ=0. When E 1⇒E I/E M〈1, a large tensile stress σθ or σt on the interface θ=1/2π is of interest. If the spacing b/d and the elastic ratio E I/E M are fixed, the interaction effects are dominant when the shape ratio a/b is large. For any fixed shape and spacing of inclusions, the maximum stress is shown to be linear with the reciprocal of the squared number of inclusions.
    Type of Medium: Electronic Resource
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  • 17
    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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  • 18
    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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  • 19
    Electronic Resource
    Electronic Resource
    Springer
    International journal of fracture 106 (2000), S. 81-93 
    ISSN: 1573-2673
    Keywords: Body force method ; elasticity ; elliptical inclusion ; interaction effect ; longitudinal shear ; numerical analysis ; singular integral equation stress concentration.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract This paper deals with an interaction problem of arbitrarily distributed elliptical inclusions under longitudinal shear loading. The problem is formulated as a system of singular integral equations with Cauchy-type or logarithmic-type singularities, where unknown functions are the densities of body forces distributed in the longitudinal directions of infinite bodies having the same elastic constants as those of the matrix and inclusions. In order to satisfy the boundary conditions along the elliptical inclusions, four kinds of fundamental density functions are introduced in a similar way of previous papers treating plane stress problems. Then the body force densities are approximated by a linear combination of those fundamental density functions and polynomials. In the analysis, elastic constants of matrix and inclusion are varied systematically; then the magnitude and position of the maximum stress are shown in tables and the stress distributions along the boundary are shown in figures. For any fixed shape, size and elastic constant of inclusions, the relationships between number of inclusions and maximum stress are investigated for several arrangements.
    Type of Medium: Electronic Resource
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  • 20
    Electronic Resource
    Electronic Resource
    Springer
    International journal of fracture 100 (1999), S. 207-225 
    ISSN: 1573-2673
    Keywords: Semi-elliptical crack ; inclined crack ; stress intensity factor ; crack opening displacement ; singular integral equation ; 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 this paper, a singular integral equation method is applied to calculate the stress intensity factor along crack front of a 3D inclined semi-elliptical surface crack in a semi-infinite body under tension. The stress field induced by displacement discontinuities in a semi-infinite body is used as the fundamental solution. Then, the problem is formulated as a system of integral equations with singularities of the form r −3. In the numerical calculation, the unknown body force doublets are approximated by the product of fundamental density functions and polynomials. The results show that the present method yields smooth variations of mixed modes stress intensity factors along the crack front accurately for various geometrical conditions. The effects of inclination angle, elliptical shape, and Poisson's ratio are considered in the analysis. Crack mouth opening displacements are shown in figures to predict the crack depth and inclination angle. When the inclination angle is 60 degree, the mode I stress intensity factor F I has negative value in the limited region near free surface. Therefore, the actual crack surface seems to contact each other near the surface.
    Type of Medium: Electronic Resource
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