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    On the Dynamic Response of a Beam to a Randomly Moving Load 

    Source: Journal of Applied Mechanics:;1968:;volume( 035 ):;issue: 001:;page 1
    Author(s): J. K. Knowles
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The problem considered is that of an infinitely long elastic beam subject to a moving concentrated force whose position is a stochastic function of time, X(t). The expected deflection and ...
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    A Note on the Response of a Beam to a Randomly Moving Force 

    Source: Journal of Applied Mechanics:;1970:;volume( 037 ):;issue: 004:;page 1192
    Author(s): J. K. Knowles
    Publisher: The American Society of Mechanical Engineers (ASME)
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    On a Class of Oscillations in the Finite-Deformation Theory of Elasticity 

    Source: Journal of Applied Mechanics:;1962:;volume( 029 ):;issue: 002:;page 283
    Author(s): J. K. Knowles
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper treats the large-amplitude radial oscillations of a perfectly elastic, incompressible cylindrical tube of infinite length due to suddenly applied pressures on its lateral surfaces. The ...
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    On Stress-Strain Relations and Strain-Energy Expressions in the Theory of Thin Elastic Shells 

    Source: Journal of Applied Mechanics:;1960:;volume( 027 ):;issue: 001:;page 104
    Author(s): J. K. Knowles; Eric Reissner
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The stress-strain relations of Flügge and Byrne for thin elastic shells are inverted to express strain quantities, and therewith the strain energy, in terms of stress resultants and couples. ...
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    Unstable Elastic Materials and the Viscoelastic Response of Bars in Tension 

    Source: Journal of Applied Mechanics:;1988:;volume( 055 ):;issue: 002:;page 491
    Author(s): R. Abeyaratne; J. K. Knowles
    Publisher: The American Society of Mechanical Engineers (ASME)
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    On the Scale of the Nonlinear Effect in a Crack Problem 

    Source: Journal of Applied Mechanics:;1986:;volume( 053 ):;issue: 003:;page 545
    Author(s): J. K. Knowles; A. J. Rosakis
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This note provides a necessary and sufficient condition for the nonlinear effect to be “small-scale” in a Mode III crack problem for a Neo-Hookean material.
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