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  • 11
    Electronic Resource
    Electronic Resource
    Equilibrium of Tchebychev nets (1984)
    Springer
    Archive for rational mechanics and analysis 85 (1984), S. 81-97 
    Details
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00250867
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  • 12
    Electronic Resource
    Electronic Resource
    Continuously distributed wrinkles in fabrics (1986)
    Springer
    Archive for rational mechanics and analysis 95 (1986), S. 93-115 
    Details
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00281083
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  • 13
    Electronic Resource
    Electronic Resource
    The viscoelastic response of highly-stretches rubber specimens to superposed torsional deformation (1980)
    Springer
    Archive of applied mechanics 49 (1980), S. 337-345 
    Details
    ISSN: 1432-0681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Übersicht Es wird das anormale mechanische Verhalten von röhrenförmigen Gummiteilen untersucht, die in der Längsachse stark gedehnt und zusätzlich durch schwache Torsionsmomente beansprucht werden. Es stellt sich heraus, daß das Ergebnis bis zu Dehnungsverhältnissen von 3,5 mit der Theorie großer Deformationen übereinstimmt; der Torsionsmodul ist dann zur Längskraft proportional. Für größere Dehnungsverhältnisse ab etwa 4 wird das Verhalten anormal: hier wächst der Torsionsmodul bei absinkender Spannung. Dieses Verhalten läßt sich durch Kristallisationserscheinungen im Gummi erklären, die bei derartigen Dehnungsverhältnissen bekannt sind. Neue Versuche werden beschrieben, bei denen die Gummiproben Torsionsschwingungen oder kleinen Torsionssprüngen ausgesetzt werden. Eine Theorie dieser Vorgänge wird angedeutet. Der Einfluß der Temperatur auf die beschriebenen Vorgänge wird untersucht.
    Notes: Summary This paper describes and discusses the anomalous mechanical response of tubular specimens of natural rubber which have been highly stretched in their axial direction and to which a small torsional twist is applied while stress relaxation is taking place. It has been found that whereas the response conforms to the theory of large elastic deformations for stretch ratios up to 3.5, i.e. the torsional modulus is directly proportional to the axial force, for stretch ratios greater than this the response becomes anomalous, and at stretch ratios in excess of about 4.0 the torsional modulus increases as the stress relaxes. This is attributed to the crystallization of the rubber which is known to take place in this range of stretch ratio. The results of recent experiments both of torsional oscillations where the rubber specimen provides the restoring couple and of the response of stretched rubber tubes to small step twists are described, and the theoretical representation of this type of response is outlined. The effects of different ambient temperatures on the response are also described.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00000005
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  • 14
    Electronic Resource
    Electronic Resource
    The viscoelastic response of highly-stretches rubber specimens to superposed torsional deformation (1980)
    Springer
    Archive of applied mechanics 49 (1980), S. 337-345 
    Details
    ISSN: 1432-0681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Übersicht Es wird das anormale mechanische Verhalten von röhrenförmigen Gummiteilen untersucht, die in der Längsachse stark gedehnt und zusätzlich durch schwache Torsionsmomente beansprucht werden. Es stellt sich heraus, daß das Ergebnis bis zu Dehnungsverhältnissen von 3,5 mit der Theorie großer Deformationen übereinstimmt; der Torsionsmodul ist dann zur Längskraft proportional. Für größere Dehnungsverhältnisse ab etwa 4 wird das Verhalten anormal: hier wächst der Torsionsmodul bei absinkender Spannung. Dieses Verhalten läßt sich durch Kristallisationserscheinungen im Gummi erklären, die bei derartigen Dehnungsverhältnissen bekannt sind. Neue Versuche werden beschrieben, bei denen die Gummiproben Torsionsschwingungen oder kleinen Torsionssprüngen ausgesetzt werden. Eine Theorie dieser Vorgänge wird angedeutet. Der Einfluß der Temperatur auf die beschriebenen Vorgänge wird untersucht.
    Notes: Summary This paper describes and discusses the anomalous mechanical response of tubular specimens of natural rubber which have been highly stretched in their axial direction and to which a small torsional twist is applied while stress relaxation is taking place. It has been found that whereas the response conforms to the theory of large elastic deformations for stretch ratios up to 3.5, i.e. the torsional modulus is directly proportional to the axial force, for stretch ratios greater than this the response becomes anomalous, and at stretch ratios in excess of about 4.0 the torsional modulus increases as the stress relaxes. This is attributed to the crystallization of the rubber which is known to take place in this range of stretch ratio. The results of recent experiments both of torsional oscillations where the rubber specimen provides the restoring couple and of the response of stretched rubber tubes to small step twists are described, and the theoretical representation of this type of response is outlined. The effects of different ambient temperatures on the response are also described.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02426912
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  • 15
    Electronic Resource
    Electronic Resource
    Axisymmetric tension fields (1989)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 40 (1989), S. 526-542 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Description / Table of Contents: Resumé Nous discutons des déformations finies avec plissement dans le cas des membranes élastiques qui sont d'une forme initiale arbitraire. Une équation parabolique, n'impliquant pas de propriétés matérielles régit la forme de la membrane déformée dans une zone plissée. Un système élliptique qui comporte la fonction force-extension régit le champ de tension. Pour des deformations axisymmetriques des surfaces de révolution, la solution à ces équations engage seulement l'intégration et l'inversion des fonctions.
    Notes: Abstract Finite deformations with wrinkling for isotropic elastic membranes of arbitrary initial shape are discussed. The shape of the deformed membrane in a wrinkled region is governed by a parabolic equation that does not involve material properties, and the stress field is governed by an elliptic system that involves the scalar force-stretch function. For axisymmetric deformations of surfaces of revolution, solution of these equations involves only integration and function inversion.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00944805
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  • 16
    Electronic Resource
    Electronic Resource
    Finite buckling of fiber-reinforced columns (1972)
    Springer
    Acta mechanica 13 (1972), S. 265-280 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Description / Table of Contents: Zusammenfassung Endliche, ebene Knickverformungen von Stäben aus in einer weicheren Matrix eingebetteten anfänglich geraden, parallelen Fasern werden diskutiert. Die Fasern werden als kontinuierlich verteilt und undehnbar und das Gemisch als inkompressibel behandelt. Es zeigt sich, daß die kritische Knicklast, pro Längeneinheit normal zur Ebene der Deformation, durchGH gegeben ist, durch das Produkt aus infinitesimalem Schubmodul und der Stabbreite. Die Stabilität der Knickzustände wird betrachtet und Anwendungsgrenzen dieser Theorie diskutiert.
    Notes: Summary Finite, plane buckling deformations of slabs or columns composed of initially straight, parallel fibers embedded in a weaker matrix are discussed. The fibers are treated as continuously distributed and inextensible, and the composite is treated as incompressible. It is found that the critical buckling load, per unit of length normal to the plane of deformation, isGH, the infinitesimal shear modulusG times the widthH of the column. Stability of buckled states is considered. Limits on the applicability of the present theory to real composites are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01586798
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  • 17
    Electronic Resource
    Electronic Resource
    Efflux perturbation in slow viscoelastic flow through tubes (1967)
    Springer
    Acta mechanica 4 (1967), S. 164-169 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Description / Table of Contents: Zusammenfassung Für Strömungen, die genügend nahe bei einerNewtonschen Strömung liegen, wird gezeigt, daß die Volumsänderungsgeschwindigkeit direkt aus derNewtonschen Lösung berechnet werden kann, ohne eine weitere Gleichung zu lösen. Die Ausflußformel enthält eine Kennzahl, die vom Querschnitt abhängt. Diese Zahl wird für einige einfache Querschnitte ausgerechnet; es ergibt sich, daß sie verhältnismäßig unempfindlich gegenüber Änderungen der Querschnittsform ist.
    Notes: Summary It is shown that in flow slow enough to be close toNewtonian flow, the deviation of the volume rate of flow from theNewtonian value can be evaluated directly from theNewtonian solution, without solving any new equation. The efflux formula involves a characteristic number depending on the cross-sectional shape. This number is evaluated for several simple shapes and is found to be relatively insensitive to the precise form of the cross-section.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01263428
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  • 18
    Electronic Resource
    Electronic Resource
    Plane deformations of nets with bending stiffness (1987)
    Springer
    Acta mechanica 65 (1987), S. 263-279 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary The theory of nets with bending stiffness is meant to model some aspects of the mechanical behavior of cloth and cable networks. We use this theory to study the effect of small bending stiffness in plane deformations. It is shown that the theory of perfectly flexible networks gives an adequate approximation except at places where that theory predicts discontinuous changes in fiber directions, and at boundaries along fibers. In such regions singular perturbation methods can be used to analyze the stress and deformation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01176886
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  • 19
    Electronic Resource
    Electronic Resource
    Slow viscoelastic flow in tilted troughs (1966)
    Springer
    Acta mechanica 2 (1966), S. 104-115 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Description / Table of Contents: Zusammenfassung Beim viskoelastischen Strömen einer inkompressiblen Flüssigkeit entlang einer geneigten geraden Rinne beliebigen Querschnittes erzeugt der Normalspannungseffekt eine Verzerrung der freien Oberfläche. Deren Form ist bei langsamer Strömung in erster Näherung durch die Axialgeschwindigkeit fürNewtonsche Strömung bestimmt. Die Gleichungen der Näherung zweiter Ordnung werden hergeleitet.
    Notes: Summary In viscoelastic flow of an incompressible fluid down a straight trough of arbitrary cross-section, the normal stress effect produces a distortion of the free surface. In slow flow, the shape is given in the lowest order of approximation in terms of the axial velocity for Newtonian flow. Equations governing the second-order perturbation are derived.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01176732
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  • 20
    Electronic Resource
    Electronic Resource
    Catenary deformations of inextensible networks (1994)
    Springer
    Journal of engineering mathematics 28 (1994), S. 401-406 
    Details
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Abstract A network formed from two initially orthogonal families of cables is supported at its edges and allowed to sag under its own weight. The net is idealized as a continuum formed from inextensible fibers, with no shear resistance. Several families of exact solutions are exhibited, all involving catenaries in one way or another. These solutions may be useful in connection with perturbation analyses of boundary-value problems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00058462
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