TY - GEN
T1 - Sensitivity analyses for viscoelastic strength of materials and corresponding continuum mechanics formulations
AU - Hilton, Harry H.
PY - 2009
Y1 - 2009
N2 - Comparison analyses are conducted for straight and curved viscoelastic beams based on Euler-Bernoulli strength of materials prescriptions and on rigorous formulations in terms of 3-D field equations. The concepts of elastic straight and curved beam analyses are well established. In the present paper, these geometric principles are extended to linear viscoelastic materials. The beams are considered subjected to un-symmetric bending as well as to thermal expansions. The distinct conditions leading to shear center and neutral axis motions in time, previously observed in straight beams are investigated. The applicability of the elastic-viscoelastic correspondence principle (analogy) in terms of integral transforms is demonstrated by application to several simulations. Comparison studies are based on pure bending loading configurations as these offer the least distinct geometric deformation patterns.
AB - Comparison analyses are conducted for straight and curved viscoelastic beams based on Euler-Bernoulli strength of materials prescriptions and on rigorous formulations in terms of 3-D field equations. The concepts of elastic straight and curved beam analyses are well established. In the present paper, these geometric principles are extended to linear viscoelastic materials. The beams are considered subjected to un-symmetric bending as well as to thermal expansions. The distinct conditions leading to shear center and neutral axis motions in time, previously observed in straight beams are investigated. The applicability of the elastic-viscoelastic correspondence principle (analogy) in terms of integral transforms is demonstrated by application to several simulations. Comparison studies are based on pure bending loading configurations as these offer the least distinct geometric deformation patterns.
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U2 - 10.1115/IMECE2008-68832
DO - 10.1115/IMECE2008-68832
M3 - Conference contribution
AN - SCOPUS:69949136234
SN - 9780791848623
T3 - ASME International Mechanical Engineering Congress and Exposition, Proceedings
SP - 95
EP - 110
BT - 2008 Proceedings of the ASME International Mechanical Engineering Congress and Exposition, IMECE 2008
PB - American Society of Mechanical Engineers (ASME)
T2 - 2008 ASME International Mechanical Engineering Congress and Exposition, IMECE 2008
Y2 - 31 October 2008 through 6 November 2008
ER -