Numerical Techniques for the Treatment of Quasistatic Solid Viscoelastic Stress Problems

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dc.contributor.authorShaw, S.en_US
dc.contributor.authorWarby, M.K.en_US
dc.contributor.authorWhiteman, J.R.en_US
dc.contributor.authorDawson, C.en_US
dc.contributor.authorWheeler, M.F.en_US
dc.date.accessioned2018-06-18T17:41:08Zen_US
dc.date.available2018-06-18T17:41:08Zen_US
dc.date.issued1993-01en_US
dc.date.noteJanuary 1993en_US
dc.description.abstractFor quasistatic stress problems two alternative constitutive relationships expressing the stress in a linear viscoelastic solid body as a linear functional of the strain are derived. In conjunction with the equations of equilibrium these form the mathematical models for the stress problems. These models are first discretized in the space domain using a finite element method and semi-discrete error estimates are presented corresponding to each constitutive relationship. Through the use respectively of quadrature rules and finite difference replacements each semi-discrete scheme is fully discretized into the time domain so that two practical algorithms suitable for the numerical stress analysis of linear viscoelastic solids are produced. The semi-discretes estimates are then also extended into the time domain to give spatially H1 error estimates for each alogrithm. The numerical schemes are predicated on exact analytical solutions for a simple model problem, and finally on design data for a real polymerical material.en_US
dc.format.extent28 ppen_US
dc.identifier.citationShaw, S., Warby, M.K., Whiteman, J.R., et al.. "Numerical Techniques for the Treatment of Quasistatic Solid Viscoelastic Stress Problems." (1993) <a href="https://hdl.handle.net/1911/101785">https://hdl.handle.net/1911/101785</a>.en_US
dc.identifier.digitalTR93-02en_US
dc.identifier.urihttps://hdl.handle.net/1911/101785en_US
dc.language.isoengen_US
dc.titleNumerical Techniques for the Treatment of Quasistatic Solid Viscoelastic Stress Problemsen_US
dc.typeTechnical reporten_US
dc.type.dcmiTexten_US
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