A limit surface formulation for plastically compressible polymers |
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Authors: | V A Kolupaev S Kolling A Bolchoun M Moneke |
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Institution: | (1) German Institute for Polymers (DKI), D-64289 Darmstadt, Germany;(2) Daimler Chrysler, EP/SPB, HPC X411, D-71059 Sindelfingen, Germany |
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Abstract: | The tightening of industrial safety standards for structures generates a need for refined computational methods, which, among
other things, must be able to describe the yield surface and the deformation behaviour of non-reinforced thermoplastics. To
describe the plastic behaviour of materials, a potential formulation is suggested. This formulation contains a number of known
potentials as special cases. The parameters of the model, which are obtained from test data, are restricted by the convexity
condition for the potential. The new model allows one to take into account effects of the second order, for instance, the
unequal behaviour under tension and compression, the plastic compressibility, and the Poynting-Swift effect. For each particular
choice of the parameters, the Poisson ratio in tension is computed. If the restrictions imposed on the Poisson ratio do not
hold, the application of a non-associated flow rule is necessary. A simple non-associated flow rule with different values
of Poisson ratio intension and compression is proposed.
Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 43, No. 3, pp. 367–384, May–June, 2007. |
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Keywords: | potential compressibility equivalent stress Huber hypothesis plastic flow Poisson ratio Burzyń ski plane |
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