A study of biaxial viscoelastic behavior
An experimental study is made to investigate the feasibility of determining a viscoelastic stress-strain law for two (or three) dimensional stress conditions by means of one dimensional tests. The conclusions are based upon comparison of theory and experiment for a creep test of a lead plate, subjec...
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ndltd-VTETD-oai-vtechworks.lib.vt.edu-10919-745842020-09-29T05:46:47Z A study of biaxial viscoelastic behavior Tolefson, Donald Craig Engineering Mechanics LD5655.V855 1964.T643 Viscoelastic materials Strains and stresses An experimental study is made to investigate the feasibility of determining a viscoelastic stress-strain law for two (or three) dimensional stress conditions by means of one dimensional tests. The conclusions are based upon comparison of theory and experiment for a creep test of a lead plate, subjected to biaxial tension. The stress-strain law that was selected is given by S<sub>ij</sub> = B σ²/σt² e<sub>ij</sub> + c σ/σt e<sub>ij</sub> to cover ehear effects and by σ<sub>ii</sub> = κε<sub>ii</sub> for hydrostatic tension or compression. S<sub>ij</sub> and e<sub>ij</sub> are respectively the stress deviator and σ<sub>ii</sub> and ε<sub>ii</sub> are the stress and strain tensors. Uniaxial test data was used to evaluate the constants in the above laws. The Lapplace transform technique was used to obtain the analytical solution for the strain in the plate as a function of time. Agreement between theory and experiment or the duration of the test, 1200 minutes, was quite good. Master of Science 2017-01-30T21:03:14Z 2017-01-30T21:03:14Z 1964 Thesis Text http://hdl.handle.net/10919/74584 en_US OCLC# 20623833 In Copyright http://rightsstatements.org/vocab/InC/1.0/ 48 leaves application/pdf application/pdf Virginia Polytechnic Institute |
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LD5655.V855 1964.T643 Viscoelastic materials Strains and stresses |
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LD5655.V855 1964.T643 Viscoelastic materials Strains and stresses Tolefson, Donald Craig A study of biaxial viscoelastic behavior |
description |
An experimental study is made to investigate the feasibility of determining a viscoelastic stress-strain law for two (or three) dimensional stress conditions by means of one dimensional tests. The conclusions are based upon comparison of theory and experiment for a creep test of a lead plate, subjected to biaxial tension.
The stress-strain law that was selected is given by
S<sub>ij</sub> = B σ²/σt² e<sub>ij</sub> + c σ/σt e<sub>ij</sub>
to cover ehear effects and by
σ<sub>ii</sub> = κε<sub>ii</sub>
for hydrostatic tension or compression. S<sub>ij</sub> and e<sub>ij</sub> are respectively the stress deviator and σ<sub>ii</sub> and ε<sub>ii</sub> are the stress and strain tensors. Uniaxial test data was used to evaluate the constants in the above laws.
The Lapplace transform technique was used to obtain the analytical solution for the strain in the plate as a function of time. Agreement between theory and experiment or the duration of the test, 1200 minutes, was quite good. === Master of Science |
author2 |
Engineering Mechanics |
author_facet |
Engineering Mechanics Tolefson, Donald Craig |
author |
Tolefson, Donald Craig |
author_sort |
Tolefson, Donald Craig |
title |
A study of biaxial viscoelastic behavior |
title_short |
A study of biaxial viscoelastic behavior |
title_full |
A study of biaxial viscoelastic behavior |
title_fullStr |
A study of biaxial viscoelastic behavior |
title_full_unstemmed |
A study of biaxial viscoelastic behavior |
title_sort |
study of biaxial viscoelastic behavior |
publisher |
Virginia Polytechnic Institute |
publishDate |
2017 |
url |
http://hdl.handle.net/10919/74584 |
work_keys_str_mv |
AT tolefsondonaldcraig astudyofbiaxialviscoelasticbehavior AT tolefsondonaldcraig studyofbiaxialviscoelasticbehavior |
_version_ |
1719346660907155456 |