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  • Articles  (2)
  • reciprocal theorem  (2)
  • Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics  (2)
  • Political Science
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  • Articles  (2)
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  • Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics  (2)
  • Political Science
  • 1
    Electronic Resource
    Electronic Resource
    Kinked cracks in anisotropic elastic materials (1998)
    Springer
    International journal of fracture 93 (1998), S. 387-407 
    Details
    ISSN: 1573-2673
    Keywords: stress singularities ; general elastic anisotropy ; kinked cracks ; dislocation models ; singular integral equations ; reciprocal theorem ; stress intensity factors ; generalised stress intensity factors.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The problem of a kinked crack is analysed for the most general case of elastic anisotropy. The kinked crack is modelled by means of continuous distributions of dislocations which are assumed to be singular both at the crack tips and at the kink vertex. The resulting system of singular integral equations is solved numerically using Chebyshev polynomials and the reciprocal theorem. The stress intensity factors for modes I, II and III and the generalised stress intensity factor at the vertex are obtained directly from the dislocation densities.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007475627402
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  • 2
    Electronic Resource
    Electronic Resource
    Analysis of sharp angular notches in anisotropic materials (1998)
    Springer
    International journal of fracture 93 (1998), S. 373-386 
    Details
    ISSN: 1573-2673
    Keywords: stress singularities ; general elastic anisotropy ; kinked cracks ; angular notches ; dislocation models ; reciprocal theorem ; generalised stress intensity factors.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The singular stresses at the tip of a sharp angular notch are analysed for the most general case of elastic anisotropy. The problem is stated in relation with the kinked crack and is modelled by means of continuous distributions of dislocations which are assumed to be singular at the notch vertex, the kind of the main singularity λ being unknown and weaker than at the crack tip. The Mellin transform is applied to obtain a system of simultaneous functional equations that enables one to find the parameter λ. The reciprocal theorem is used to compute the generalised stress intensity factor which characterises the singular stresses in a neighbourhood of the notch tip.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007467410563
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    Paper (German National Licenses)
    Fulltext
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