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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Structural optimization 18 (1999), S. 247-255 
    ISSN: 0934-4373
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract One of the methods of solving unconstrained discrete infmax or minimax problems consists in regularizing the function F(x) = max i f i (x), i = 1,..., m, x∈Ropf n using various techniques. A new method of solving these problems, which is similar in nature to the regularization method, is presented. It is, however, differentiated from the latter by the fact that regularization is not applied to F (x) but to a function parametered by p (p≥ 1), the expression of which does not contain the max operator. Depending on the value of p, regularization is either local (p = 1) or total (p 〉 1). The practical advantage of the proposed method is highlighted in solving large scale problems arising from the static yield design method.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Structural and multidisciplinary optimization 18 (1999), S. 247-255 
    ISSN: 1615-1488
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract One of the methods of solving unconstrained discrete infmax or minimax problems consists in regularizing the functionF(x)=max i f i (x),i=1,...,m, m∈R n using various techniques. A new method of solving these problems, which is similar in nature to the regularization method, is presented. It is, however, differentiated from the latter by the fact that regularization is not applied toF(x) but to a function parametered byp (p≥1), the expression of which does not contain the max operator. Depending on the value ofp, regularization is either local (p=1) or total (p〉1). The practical advantage of the proposed method is highlighted in solving large scale problems arising from the static yield design method.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 3
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    International Journal for Numerical and Analytical Methods in Geomechanics 6 (1982), S. 109-128 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: This paper deals with a numerical formulation of the kinematic limit analysis method. This formulation, based on a finite element discretization, is available for axisymmetric cases. The linearization of the yield Tresca and Von Mises criteria leads to linear programming problems. The velocity fields described here are plastically admissible only on an average. The influence of this approximation is quantified for the triaxial test problem and the stability of circular excavations.
    Additional Material: 15 Ill.
    Type of Medium: Electronic Resource
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