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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    International journal of fracture 84 (1997), S. 103-116 
    ISSN: 1573-2673
    Keywords: asymptotic expansion of stresses ; non-singular term ; J-integral ; boundary element 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 path independent integral formulation is presented for the computation of dynamic T-stresses in a two-dimensional body with a stationary crack. The mutual M-integral expressed through dynamic Ĵ-integrals provides sufficient information for determining T-stresses on the basis of the relationship found between the M-integral and T-stresses. The elastodynamic fields required for the evaluation of the Ĵ-and M-integrals are obtained by the boundary element method. The time-domain approach is used for the solution of the boundary value crack problem and numerical results for two crack problems are presented. In the first a rectangular plate with a central crack is considered and in the second two cracks at a hole in an infinite sheet. A comparison is made with the results obtained by the boundary layer and displacement field methods based on the asymptotic expansions of stresses and displacements at a crack tip vicinity.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 11 (1995), S. 981-993 
    ISSN: 1069-8299
    Keywords: boundary element method ; boundary geometry ; smooth modelling ; Lagrange elements ; Overhauser elements ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The paper reveals the conditions under which the approximations of the normal vector and global coordinates of interior points of two segments on a smooth contour can fail using the C1-continuous Overhauser elements. A new continuous modelling of the normal vector is developed using the standard Lagrange elements. The derivation is consistent with the assumptions employed in the boundary element method formulations of potential problems. Test numerical examples are considered in order to analyse the accuracy of the approximations based on the use of standard C0-continuous elements, Overhauser C1-continuous elements and the proposed ‘smooth’ C0 elements.
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
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