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  • 1
    Electronic Resource
    Electronic Resource
    Optimal coverage of convex regions (1986)
    Springer
    Journal of optimization theory and applications 51 (1986), S. 321-343 
    Details
    ISSN: 1573-2878
    Keywords: Coverage problems ; convex hulls ; Monte Carlo optimization ; nonconvex programming
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The problem of the coverage of convex regions with polygons and quadratic configurations of minimal volume is considered. The regions are presented as inequality constraints of a linear or nonlinear programming problem. It is shown that the problem of the optimal coverage with an arbitrary polygon can be reduced to a convex one of coverage with a multidimensional rectangle. If, however, rotation of the coordinate system is allowed, an additional nonconvex problem must be solved. It is also shown that, to find the minimal covering hypersphere or hyperellipsoid, one has to solve two convex programming problems. Algorithms and examples illustrating the feasibility of the proposed methods are presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00939828
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Further developments of a damage theory for filled polymers (1979)
    Stamford, Conn. [u.a.] : Wiley-Blackwell
    Polymer Engineering and Science 19 (1979), S. 151-161 
    Details
    ISSN: 0032-3888
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: This paper investigates matrix debonding from filler particles as a mechanism for weakening of a filled polymer. We analyze several simplified models of debonding. Our main concern is its effect on the overall elastic instants; for each debonding model, we calculate the change ΔW in overall strain energy density due to debonding. The resulting formulas for ΔW are all special cases of one general expression. Accordingly, we propose that this expression describes a broad class of debonding models, including some for which a detailed stress and strain analysis is not possible.
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/pen.760190219
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Über die Geschwindigkeit der Feuchtigkeitsaufnahme durch Magnesiumsulfat (1936)
    Weinheim : Wiley-Blackwell
    Zeitschrift für anorganische Chemie 228 (1936), S. 89-91 
    Details
    ISSN: 0863-1786
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/zaac.19362280113
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    Paper (German National Licenses)
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