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Digitale Medien

Optimal coverage of convex regions (1986)

Rubinstein, R. Y. ; Samorodnitsky, G.

Springer

Journal of optimization theory and applications 51 (1986), S. 321-343

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ISSN: 1573-2878

Schlagwort(e): Coverage problems ; convex hulls ; Monte Carlo optimization ; nonconvex programming

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: 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.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF00939828

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Digitale Medien

Further developments of a damage theory for filled polymers (1979)

Rubinstein, R. ; Fitzgerald, J. E.

Stamford, Conn. [u.a.] : Wiley-Blackwell

Polymer Engineering and Science 19 (1979), S. 151-161

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ISSN: 0032-3888

Schlagwort(e): Chemistry ; Chemical Engineering

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Chemie und Pharmazie , Maschinenbau , Physik

Notizen: 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.

Zusätzliches Material: 5 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/pen.760190219

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Über die Geschwindigkeit der Feuchtigkeitsaufnahme durch Magnesiumsulfat (1936)

Mikulinski, A. S. ; Rubinstein, R. N.

Weinheim : Wiley-Blackwell

Zeitschrift für anorganische Chemie 228 (1936), S. 89-91

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ISSN: 0863-1786

Schlagwort(e): Chemistry ; Inorganic Chemistry

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Chemie und Pharmazie

Zusätzliches Material: 3 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/zaac.19362280113

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