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  • 1980-1984  (2)
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Archive for rational mechanics and analysis 81 (1983), S. 21-51 
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract An existing description of composite materials modeled as interpenetrating solid continua is extended to include constitutive response functionals over the histories of the constitutive variables of the n-consistent composite. As in the earlier work, the relative displacement of the individual constituents is required to be infinitesimal in order that the composite not rupture even though the motion of the combined composite is finite. Conditions on the response functionals under the assumption of fading memory are obtained from the Clausius-Duhem inequality for the combined composite. Relaxation and cyclical processes are discussed and it is shown that the equilibrium response of the composite considered is the same as that of the elastic composites treated in the earlier work. Some detailed results are obtained for the case of two-constituents under the additional assumption of finite linear viscoelastic response.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of elasticity 12 (1982), S. 345-366 
    ISSN: 1573-2681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract A one-dimensional version of a theory of composite materials modeled as interpenetrating solid continua is applied in the analysis of acceleration waves in composites containing two identifiable constituents. As expected, two distinct acceleration waves always propagate except when one of the constituents consists of a chopped fiber. The influence of viscous type damping is included in only the volumetric interaction between the constituents in portions of the treatment. Equations are derived both for the propagation velocities and the varying amplitudes of the disturbance as a function of the state of the material immediately ahead of the wavefront. These rather general results are specialized to the case of a homogeneous steady-state ahead of the fast wave. The various types of behavior possible and the order of the discontinuities occurring across the wavefront are discussed in detail for a number of special cases.
    Type of Medium: Electronic Resource
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