Energy Methods in Composite Material Shells

  • Jack R. Vinson
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 18)


Many composite material structures not only involve anisotropy, multilayer considerations and transverse shear deformat mal effects, which can be very important. True, for preliminary design and analysis one often uses the simplified, easier to use analyses that have been presented earlier, but for the final design, transverse shear deformation and hygrothermal effects must be included. These thermal and moisture effects have been described in Chapter 14. Analytically they cause considerable difficulty, because with their inclusion few boundary conditions are homogeneous, hence separation of variables, used throughout the shell solutions to this point, cannot be utilized straightforwardly. Only through the laborious process of transformation of variables can separation of variables be used [See 22.1, pp. 63–66]. Therefore, energy principles are much more convenient for use in design and analyses of plate and shell structures when hygrothermal effects are present. Recently, the incorporation of piezoelectric effects, analogous to the thermal and hygrothermal effects, provides another source of nonhomogenous boundary conditions [22.2].


Composite Material Cylindrical Shell Nonlinear Vibration Displacement Function Flexural Vibration 
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Copyright information

© Springer Science+Business Media Dordrecht 1993

Authors and Affiliations

  • Jack R. Vinson
    • 1
  1. 1.Department of Mechanical Engineering and the Center for Composite MaterialsUniversity of DelawareNewarkUSA

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