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  • 1
    Electronic Resource
    Electronic Resource
    Time Rates of Hill's Strain Tensors (1999)
    Springer
    Journal of elasticity 54 (1999), S. 129-140 
    Details
    ISSN: 1573-2681
    Keywords: Hill's strain ; stretch tensor ; time rate.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract Based on Hill's principal components formulae, two kinds of basis-free time rate formulae for Hill's strain tensors are proposed in this paper, which are obtained for the cases of distinct stretches, double coalescence and triple coalescence. Furthermore, relations between the coefficients in the representation for the strain tensor and its time derivative are disclosed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007603221060
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Determination of the Rotation Tensor in the Polar Decomposition (1998)
    Springer
    Journal of elasticity 50 (1998), S. 197-207 
    Details
    ISSN: 1573-2681
    Keywords: rotation tensor ; rotation axis ; rotation angle.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract An explicit representation for the rotation tensor which contains the lower powers of deformation gradient is proposed and used to evaluate the angle and axis of the rotation tensor. Some related equations about the rotation tensor are established. Through the approximate analysis, the relation between the S-R decomposition and the polar decomposition is examined.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007407802076
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    Paper (German National Licenses)
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