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  1. No Access

    Article

    Conditions for Strong Ellipticity of Anisotropic Elastic Materials

    In this paper, we derive necessary and sufficient conditions for the strong ellipticity condition of anisotropic elastic materials. We first observe that the strong ellipticity condition holds if and only if a...

    Deren Han, H. H. Dai, Liqun Qi in Journal of Elasticity (2009)

  2. No Access

    Chapter and Conference Paper

    Asymptotic Model Equation for Phase Transitions in a Slender Circular Elastic Cylinder

    H. H. Dai in IUTAM Symposium on Size Effects on Materia… (2006)

  3. No Access

    Article

    Asymptotically approximate model equations for nonlinear dispersive waves in incompressible elastic rods

    In literature, nonlinear waves in elastic rods have been studied by many authors. Usually, the Navier-Bernoulli hypothesis (the assumption that plane cross-sections remain planar and normal to the rod axis) is...

    H. -H. Dai, Y. Huo in Acta Mechanica (2002)

  4. No Access

    Article

    Nonlocal elasticity and dislocation image force due to cracks

     Fundamental field equations of nonlocal elasticity are presented. With these equations, the image force on a screw dislocation due to a crack is analyzed using the conformal map** technique. Two cases are c...

    K.-L. Pan, H.-H. Dai in Archive of Applied Mechanics (2001)

  5. No Access

    Article

    Uniform asymptotic analysis for transient waves in a pre-stressed compressible hyperelastic rod

    This paper studies the propagation of disturbances in a pre-stressed circular rod composed of a general compressible hyperelastic material. Two coupled four-parameter dependent equations are derived as the gov...

    H. -H. Dai, Z. Cai in Acta Mechanica (2000)

  6. No Access

    Article

    Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod

    In this paper, we study nonlinear axisymmetric waves in a circular cylindrical rod composed of a compressible Mooney-Rivlin material. The aim is to derive simplified model equations in the far field which incl...

    H. -H. Dai in Acta Mechanica (1998)

  7. No Access

    Article

    Nonlinear axisymmetric waves in compressible hyperelastic rods: long finite amplitude waves

    This paper investigates nonlinear axisymmetric waves in compressible hyperelastic circular cylindrical rods. We consider first a compressible Mooney-Rivlin material to obtain exact governing equations. To furt...

    H. Cohen, H. -H. Dai in Acta Mechanica (1993)

  8. No Access

    Chapter and Conference Paper

    A Variable Coefficient Version of Zakharov and Shabat’s Method: With Applications to the Integration of Variable Coefficient Nonlinear Equations and to Perturbed Soliton Equations

    It is pointed out that the method given by Zakharov and Shabat [12] may be extended so that it is applicable to the integration of some variable coefficient nonlinear equations. As an example, we show that if ...

    A. Jeffrey, H. H. Dai in Nonlinear Waves in Active Media (1989)