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RISThe 2011 Koiter Lecture: The Simple Logic of Classical Nonlinear Thermodynamic Shell Theory
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A classical nonlinear thermodynamic theory of elastic shells is derived by specializing the three-dimensional equations of motion and the second law of thermodynamics to a very general, shell-like ...
Discussion: “On the Orthogonality Condition of Axisymmetric Vibration Modes for Shells of Revolution” (Bogner, F. K., and Archer, R. R., 1965, ASME J. Appl. Mech., 32, pp. 447–448)
Publisher: The American Society of Mechanical Engineers (ASME)
Exact Equations for the Large Inextensional Motion of Elastic Plates
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The governing equations for plates that twist as they deform are reduced to 14 differential equations, first-order in a single space variable and second-order in time. Many of the equations ...
The Strain-Energy Density of Compressible, Rubber-Like Axishells
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A recent method for deriving, by descent from three dimensions, strain-energy densities in a first-approximation, large-strain theory of incompressible, elastically isotropic shells of revolution ...
A Simplified Displacement-Rotation Form for the Equations of Motion of Nonlinearly Elastic Shells of Revolution Undergoing Combined Bending and Torsion
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: By appropriately defining two displacements and a rotation, it is shown that the equations of motion of a shell of revolution undergoing combined axisymmetric bending and torsion, in which the ...
Rotary Inertia in the Classical Nonlinear Theory of Shells and the Constitutive (Non-Kinematic) Kirchhoff Hypothesis
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A general nonlinear theory of isothermal shells is presented in which the only approximations occur in the conservation of energy and in the consequent constitutive relations, which include ...
Reduction of the Linear Sanders-Koiter Shell Equations for Nondevelopable Midsurfaces to Two Coupled Equations
Publisher: The American Society of Mechanical Engineers (ASME)
Discussion: “Applicability and Limitations of Simplified Elastic Shell Equations for Carbon Nanotubes” (Wang, C. Y., Ru, C. Q., and Mioduchowski, A., 2004, ASME J. Appl. Mech., 71, pp. 622–631)
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: I wish to point out that there are equations for the vibration ((1), pp. 259–261) and buckling (2) of elastically isotropic circular cylindrical shells that are as accurate as, but much simpler ...
Green’s Function for a Closed, Infinite, Circular Cylindrical Elastic Shell
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: An acceptable variant of the Koiter–Morley equations for an elastically isotropic circular cylindrical shell is replaced by a constant coefficient fourth-order partial differential equation for a ...
An Alternative to F. Y. M. Wan’s Single Equation for an Elastic Right Circular Conical Shell
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In 1970, F. Y. M. Wan derived a single, complex-valued ordinary differential equation for an elastically isotropic right circular conical shell (“ On the Equations of the Linear Theory of ...