Sensitivity analyses for viscoelastic strength of materials and corresponding continuum mechanics formulations

Harry H. Hilton

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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.

Original languageEnglish (US)
Title of host publication2008 Proceedings of the ASME International Mechanical Engineering Congress and Exposition, IMECE 2008
PublisherAmerican Society of Mechanical Engineers (ASME)
Pages95-110
Number of pages16
ISBN (Print)9780791848623
DOIs
StatePublished - 2009
Event2008 ASME International Mechanical Engineering Congress and Exposition, IMECE 2008 - Boston, MA, United States
Duration: Oct 31 2008Nov 6 2008

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings
Volume1

Other

Other2008 ASME International Mechanical Engineering Congress and Exposition, IMECE 2008
Country/TerritoryUnited States
CityBoston, MA
Period10/31/0811/6/08

ASJC Scopus subject areas

  • Mechanical Engineering

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