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  • 1
    Electronic Resource
    Electronic Resource
    Simply supported plates by the boundary integral equation method (1986)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 23 (1986), S. 173-191 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Plates governed by Kirchhoff's equation have been analysed by the boundary integral equation method using the fundamental solution of the biharmonic equation. In the case of supported plates, the boundary conditions permit the uncoupling of the field equation into two harmonic equations that originate, due to the nature of the fundamental solution, easier integration kernels and a simpler system of equations. The calculation of bending and twisting moments and transverse shear force can be formed, combining derivatives of the integral equation which defines the expression of the deflection on any point of the plate. The uncoupling of the biharmonic equation into two Poisson's equations involves the discretization of the domain of the studied problems. Nevertheless, the unknown quantity of the problem does not appear in the domain integrations for which a refined discretization is unnecessary. In the paper, however, a numerical alternative is considered to express the domain integral by means of boundary integrals. In this way, we need only discretize the boundary of the plate, making it necessary to solve a supplementary system of equations in order to calculate the coefficients of the approximation carried out.
    Additional Material: 10 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620230202
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  • 2
    Electronic Resource
    Electronic Resource
    Stress singularities in 2D orthotropic corners (1997)
    Springer
    International journal of fracture 83 (1997), S. 67-90 
    Details
    ISSN: 1573-2673
    Keywords: linear elasticity ; orthotropic materials ; stress singularities ; notches ; cracks ; Stroh relations ; composite materials.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A new technique for analysis of two-dimensional linear elastostatic solutions with stress singularities at orthotropic corners is developed. An explicit and general representation of the associated eigenequation given as ‘zero determinant condition’ of a matrix with half dimension in comparison with the current approach is derived by application of Stroh relations of anisotropic elasticity. The technique is directly applicable to anisotropic corners. Analytical formulae for stress singularity exponents, roots of the associated eigenequations, at orthotropic half-plane and semiinfinite crack problems for all combinations of basic homogeneous boundary conditions, including slip with friction, are derived. it is noteworthy that the singularity exponents are invariant with respect to the relative orientation of boundary edges and orthotropic material for nine of these combinations. Numerical analysis of singularity exponents for some configurations typical in the modelization of material tests of fiber-matrix composite materials is presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007336210450
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  • 3
    Electronic Resource
    Electronic Resource
    ON STRESS SINGULARITIES INDUCED BY THE DISCRETIZATION IN CURVED RECEDING CONTACT SURFACES: A BEM ANALYSIS (1997)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 40 (1997), S. 2301-2320 
    Details
    ISSN: 0029-5981
    Keywords: boundary elements method ; contact problems ; geometric corners ; stress singularities ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper is concerned with the effects of the piecewise approximation of the geometry of contacting solids, in which a discontinuity of the normal outward boundary vector is, in general, implied. This discontinuity is shown to be of particular relevance when contact takes place on a curved surface, and sliding occurs. Only load-independent receding contact problems are considered. The behaviour of a sliding contact zone having a corner inside is investigated first, by means of a particular problem. Then, it is shown that using curved elements, a meshing refinement process can reduce the effects of unreal corners, whereas discretizations based on flat elements may produce unacceptable results regardless of the performed meshing refinement. Chances to overcome this drawback are recognized for some special flat boundary elements, but others are to be discarded for these kinds of problems. A parameter to quantify the error due to unreal stress concentrations is proposed. Two-dimensional examples discretized using boundary elements are presented for illustration purposes. © 1997 John Wiley & Sons, Ltd.
    Additional Material: 16 Ill.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    ON THE REMOVAL OF RIGID BODY MOTIONS IN THE SOLUTION OF ELASTOSTATIC PROBLEMS BY DIRECT BEM (1996)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 39 (1996), S. 4021-4038 
    Details
    ISSN: 0029-5981
    Keywords: boundary element method ; rigid-body motions ; support conditions ; elasticity ; Fredholm theory ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A theoretical and numerical study of the removal of rigid body motions in the solution of the boundary form of Somigliana identity and of the corresponding discretized linear system of the direct BEM is presented. This study is based on the Fredholm theory of linear operators and mechanical aspects of the problem. Various methods suitable for implementation in BEM codes are analyzed and relations between apparently different methods are shown. The relation between global equilibrium conditions and solvability of the discretized linear system of the direct BEM is discussed.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
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