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    The Elastic Strip With Prescribed End Displacements 

    Source: Journal of Applied Mechanics:;1971:;volume( 038 ):;issue: 004:;page 929
    Author(s): P. J. Torvik
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The stresses and displacements in an elastic strip arising from displacements prescribed over one end are determined in terms of the eigenfunctions of the strip, with the coefficients being ...
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    Note on the Boundary Conditions for Contact Problems 

    Source: Journal of Applied Mechanics:;1967:;volume( 034 ):;issue: 003:;page 761
    Author(s): P. J. Torvik
    Publisher: The American Society of Mechanical Engineers (ASME)
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    A Variational Approach to the Dynamics of Structures Having Mixed or Discontinuous Boundary Conditions 

    Source: Journal of Applied Mechanics:;1984:;volume( 051 ):;issue: 004:;page 831
    Author(s): P. J. Torvik
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A procedure is developed whereby the steady-state forced response and the modes of free vibration for elastic systems having mixed or discontinuous boundary conditions can be determined. Approximate ...
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    On the Determination of Stresses, Displacements, and Stress-Intensity Factors in Edge-Cracked Sheets With Mixed Boundary Conditions 

    Source: Journal of Applied Mechanics:;1979:;volume( 046 ):;issue: 003:;page 611
    Author(s): P. J. Torvik
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The stresses and displacements in a finite, isotropic, elastic sheet containing a single edge crack are considered. Solutions are constructed through superposition of the solutions due to Williams. ...
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    Asymptotic Approximations for Systems Incorporating Fractional Derivative Damping 

    Source: Journal of Dynamic Systems, Measurement, and Control:;1996:;volume( 118 ):;issue: 003:;page 572
    Author(s): B. S. Liebst; P. J. Torvik
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Viscoelastic constitutive relationships incorporating fractional derivatives have been previously shown to be extremely useful in describing the frequency dependent behavior of common damping materials. ...
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    On the Appearance of the Fractional Derivative in the Behavior of Real Materials 

    Source: Journal of Applied Mechanics:;1984:;volume( 051 ):;issue: 002:;page 294
    Author(s): P. J. Torvik; R. L. Bagley
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Generalized constitutive relationships for viscoelastic materials are suggested in which the customary time derivatives of integer order are replaced by derivatives of fractional order. To this ...
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    Elastic Wave Propagation in Inhomogeneous Bars of Several Sections 

    Source: Journal of Applied Mechanics:;1973:;volume( 040 ):;issue: 004:;page 1050
    Author(s): J. E. Wade; P. J. Torvik
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: An approximate method is given for analyzing the propagation of low-frequency wave trains in prismatic bars of cross sections which can be approximated through subdivision into rectangular elements. ...
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    Impact Crater Formation at Intermediate Velocities 

    Source: Journal of Fluids Engineering:;1972:;volume( 094 ):;issue: 002:;page 394
    Author(s): N. C. Byrnside; P. J. Torvik; H. F. Swift
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The influence of projectile strength on cratering was investigated for projectiles of aluminum alloys impacting semi-infinite aluminum targets over the velocity range of 1 km/sec to 5.0 km/sec. ...
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