A viscoelastic higher-order thick beam finite element formulation is extended to include elastodynamic deformations. The material constitutive law is a special differential form of the Maxwell solid, which employs viscous strains as internal variables to determine the viscous stresses. The total time-dependent stress is the superposition of its elastic and viscous components. In the constitutive model, the elastic strains and the conjugate viscous strains are coupled through a system of first-order ordinary differential equations. The use of the internal strain variables allows for a convenient finite element formulation. The elastodynamic equations of motion are derived from the virtual work principle. Computational examples are carried out for a thick orthotropic cantilevered beam. Relaxation, creep, relaxation followed by free damped vibrations, and damping related modal interactions are discussed.
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July 1997
Technical Papers
Dynamics of Thick Viscoelastic Beams
A. R. Johnson,
A. R. Johnson
Computational Structures Branch, NASA Langley Research Center, MS 240, Hampton, VA 23681-0001
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A. Tessler,
A. Tessler
Computational Structures Branch, NASA Langley Research Center, MS 240, Hampton, VA 23681-0001
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M. Dambach
M. Dambach
Computational Structures Branch, NASA Langley Research Center, MS 240, Hampton, VA 23681-0001
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A. R. Johnson
Computational Structures Branch, NASA Langley Research Center, MS 240, Hampton, VA 23681-0001
A. Tessler
Computational Structures Branch, NASA Langley Research Center, MS 240, Hampton, VA 23681-0001
M. Dambach
Computational Structures Branch, NASA Langley Research Center, MS 240, Hampton, VA 23681-0001
J. Eng. Mater. Technol. Jul 1997, 119(3): 273-278 (6 pages)
Published Online: July 1, 1997
Article history
Received:
January 15, 1997
Revised:
April 8, 1997
Online:
November 27, 2007
Citation
Johnson, A. R., Tessler, A., and Dambach, M. (July 1, 1997). "Dynamics of Thick Viscoelastic Beams." ASME. J. Eng. Mater. Technol. July 1997; 119(3): 273–278. https://doi.org/10.1115/1.2812256
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