Summary
In the present paper, general definitions for viscoelasticity and viscoplasticity laws are introduced. In addition, two methods for formulating viscoplasticity laws are given. These methods are based on two different notions of overstresses, introduced here with reference to the 3-parameter solid, and can take into account various kinds of non-linearities. For the viscoplasticity laws considered, as well as for limiting cases of these laws, an analysis of the functional structure is performed; in addition, characteristic properties are illustrated, using one-dimensional loading histories.
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Dedicated to Prof. F. Kollmann (Technische Hochschule Darmstadt) on the occasion of his 60 th birthday
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Tsakmakis, C. Formulation of viscoplasticity laws using overstresses. Acta Mechanica 115, 179–202 (1996). https://doi.org/10.1007/BF01187437
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DOI: https://doi.org/10.1007/BF01187437