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  • 1
    Electronic Resource
    Electronic Resource
    STUDIES OF ISOLATED PLASMA MEMBRANE PREPARATIONS (1966)
    Oxford, UK : Blackwell Publishing Ltd
    Annals of the New York Academy of Sciences 137 (1966), S. 0 
    Details
    ISSN: 1749-6632
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Natural Sciences in General
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1749-6632.1966.tb50173.x
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  • 2
    Electronic Resource
    Electronic Resource
    Wave propagation in polar elastic superlattices (1994)
    Oxford, UK : Blackwell Publishing Ltd
    Geophysical journal international 118 (1994), S. 0 
    Details
    ISSN: 1365-246X
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences
    Notes: This paper examines the passband and stop band regions for time-periodic waves travelling normal to the layering through an infinite medium composed of alternating layers of two different elastic materials. The materials are such that the elastic energy density is a function of the strains and the strain gradients and, in consequence, a deformation gives rise to both the usual Cauchy stress and to a hyperstress or couple-stress. Such materials can exhibit a non-uniform wrinkling deformation at a free surface and similar non-uniform deformations can arise at interfaces between two different media. The presence of the strain derivatives in the elastic energy function introduces a natural length scale l into the material and the depth of the non-uniform deformation is of the order of this length scale. This model can give rise to enhanced elastic response when the layer depths are comparable with l and it is of interest as a possible mathematical model of nanolayered structures. The model also includes a non-standard set of continuity conditions at material interfaces. These arise from the elastic interaction energy of the two materials at the boundary and their effect is localized in a boundary layer whose depth is of order l. The periodic layering gives rise to displacements which are periodic with a frequency-dependent wave number, the Floquet wave number. Dispersion curves, relating circular frequency to the Floquet wave number, are obtained for different ratios of the layer depth to the natural length l and for different values of the elastic interface coupling parameters.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1365-246X.1994.tb03977.x
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  • 3
    Electronic Resource
    Electronic Resource
    The growth of plane discontinuities propagating into a homogeneously deformed elastic material (1965)
    Springer
    Archive for rational mechanics and analysis 19 (1965), S. 20-23 
    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/BF00252276
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  • 4
    Electronic Resource
    Electronic Resource
    The growth of plane discontinuities propagating into a homogeneously deformed elastic material (1964)
    Springer
    Archive for rational mechanics and analysis 16 (1964), S. 79-88 
    Details
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract It is shown that, in general, plane acceleration discontinuities propagating into an isotropic elastic material in a state of homogeneous deformation either become infinite in a finite time or decay to zero in an infinite time. Exceptions to this result are transverse discontinuities which propagate along a principal axis of strain without change in strength. Conditions governing the growth of acceleration discontinuities travelling into undeformed material are found to be identical with the thermodynamic conditions derived by Bland [2] for shock propagation. Plane discontinuities of order higher than the second are shown to propagate with constant strength.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00281332
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  • 5
    Electronic Resource
    Electronic Resource
    Large axisymmetric deformation of a non-linear viscoelastic circular membrane (1980)
    Springer
    Acta mechanica 36 (1980), S. 31-42 
    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 Das Deformationsproblem einer viscoelastischen Kreismembran unter Eigengewichtsbelastung wird untersucht. Die in ihrer horizontalen Mittelfläche am Rand eingespannte Membran ist aus nichtlinearem, viskoelastischem Material, dessen Verhalten durch nichtlineare, konstitutive Einfachintegrale beschrieben wird. Die Absenkung der Membran wird quasistatisch angeommen, die Relaxationszeit wurde in das Modell dehnungsabhängig eingeführt. Die mathematische Beschreibung führt auf ein System von drei Gleichungen, von denen zwei nichtlineare, partielle Differentialgleichungen erster Ordnung sind, während die dritte eine algebraische Beziehung darstellt. Diskretisierung in der Zeit ermöglicht eine Lösung der Differentialgleichungen, die mit einem bekannten, schrittweisen Integrationsverfahren gelöst werden können. Numerische Ergebnisse werden sowohl für dehnungsabhängige als auch für dehnungsunabhängige Relaxationszeiten erhalten.
    Notes: Summary The problem of a viscoelastic circular membrane deforming under its own weight is considered. The membrane, clamped in a horizontal plane at its boundary, is formed from a non-linear viscoelastic material whose behaviour is modelled by a non-linear single integral constitutive equation. The sag of the membrane is considered quasi-static and provision is made in the model for making the relaxation time stretch-dependent. The analysis leads to a system of three equations, two of which are first-order non-linear partial-differential integral equations while the third is an algebraic relation. Time descretization enables the differential equations to be solved as ordinary differential equations which may be dealt with by a familiar step-wise integration process. Numerical solutions are obtained for membranes with both stretch-dependent and stretch-independent relaxation times.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01178234
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  • 6
    Electronic Resource
    Electronic Resource
    Transient wave propagation in a viscoelastic sandwich plate (1994)
    Springer
    Acta mechanica 102 (1994), S. 167-182 
    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 This paper examines the propagation of coupled P and S waves in a three layer sandwich plate consisting of a viscoelastic core bounded by identical elastic outer layers. The waves are initiated by an impulsive normal line load applied to the upper surface of the plate. The response of the top surface is computed for various values of the creep and relaxation time constants of the core. The results indicate that, for some values of the time constants, the viscoelastic core provides effective damping of the transients, while for others the damping is virtually non-existent. In each case the dominant contribution to the far-field solution comes from the Rayleigh wave.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01178525
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  • 7
    Electronic Resource
    Electronic Resource
    Simple deformations of materials with memory (1968)
    Springer
    Acta mechanica 5 (1968), S. 254-273 
    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 Es werden vier Klassen einfacher, zeitabhängiger Deformationen für allgemeine inkompressible viskoelastische Festkörper und für inkompressible geschwindigkeitsunabhängige Materialien mit Erinnerung untersucht. Diese sind: I. geradliniger Schub, 2. einfache Torsion eines geraden Kreiszylinders, 3. Umfangschub an einem Hohlzylinder zwischen starren koaxialen Zylindern, 4. einfache Torsion eines Körpers, der den Raum zwischen zwei starren koaxialen Kegeln mit gemeinsamem Scheitel ausfüllt. In jedem Fall kann die Deformation eines Materialelementes als Überlagerung einer starren Rotation und eines zeitabhängigen einfachen Schubes mit konstanter Schubrichtung und Schubebene betrachtet werden. Es wird gezeigt, daß der Spannungszustand bei viskoelastischen Körpern in jeder Klasse der Deformationen bis auf einen beliebigen hydrostatischen Druck durch die gleichen drei Materialfunktionale einer einzigen Argumentfunktion, nämlich der Geschichte des Betrages des Schubs bestimmt ist. Für geschwindigkeitsunabhängige Materialien werden diese drei Funktionale gewöhnliche Funktionen des Betrages des Schubs in dem betrachteten Augenblick.
    Notes: Summary Four classes of simple time-dependent deformations are examined for general incompressible viscoelastic solids and for incompressible rate independent materials with memory. These are: (i) rectilinear shear, (ii) simple torsion of a right-circular cylinder, (iii) helical shear of a cylindrical annulus contained between rigid coaxial cylinders, (iv) simple torsion of material contained between two rigid coaxial cones with common vertex. In each case the deformation of an element of material may be regarded as a superposition of a rigid rotation and a time-dependent simple shear with constant direction of shear and plane of shear. For the viscoelastic solids the state of stress in each class of deformations is shown to be determined to within an arbitrary hydrostatic pressure by the same three material functionals of a single argument function, the history of the amount of shear. For rate independent materials these three functionals become ordinary functions of the amount of shear at the instant under consideration.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01178663
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  • 8
    Electronic Resource
    Electronic Resource
    An extension of the application of transmission line modelling (TLM) to thermal diffusion to include non-infinite heat sources (1987)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 24 (1987), S. 1333-1341 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The modelling of heat transfer from a moving gaseous atmosphere by the TLM technique is described. For the case of very rapidly moving gas, results are compared with those derived from finite element analysis.
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620240709
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  • 9
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    Large axisymmetric deformation of a non-linear viscoelastic circular membrane (1980)
    Springer
    Details
    Publication Date: 1980-03-01
    Print ISSN: 0001-5970
    Electronic ISSN: 1619-6937
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Published by Springer
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  • 10
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    Transient wave propagation in a viscoelastic sandwich plate (1994)
    Springer
    Details
    Publication Date: 1994-03-01
    Print ISSN: 0001-5970
    Electronic ISSN: 1619-6937
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Published by Springer
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