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Three-dimensional, finite deformation, viscoplastic constitutive models for polymeric materials |
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| Authors: | SG Bardenhagen MG Stout GT Gray |
| Affiliation: | a Theoretical Division, Group T-3, MS B216, Los Alamos National Laboratory, Los Alamos, NM 87545, USA b Materials Science and Technology Division, Group MST-5, MS G755, USA, Los Alamos National Laboratory, Los Alamos, NM 87545, USA |
| Abstract: | A general methodology for developing three-dimensional. finite deformation, viscoplastic constitutive models for polymeric materials is presented. The development begins with the presentation of a one-dimensional spring and dashpot construction which exhibits behavior typical of polymeric materials, namely strain-rate dependence, stress relaxation, and creep. The one-dimensional construction serves as a starting point for the development of a three-dimensional, finite deformation, viscoplastic constitutive model which also exhibits typical polymeric behavior. Furthermore, the three-dimensional constitutive model may be easily generalized to incorporate an arbitrary number of inelastic processes, representing (inelastic) microstructural deformation mechanisms operating on different time scales. Strain-rate dependence, stress relaxation, and creep phenomena are discussed in detail for a simple version of the constitutive model. Test data for a particular polymer is used to validate the simple model. It is concluded that the methodology provides a flexible approach to modeling polymeric materials over a wide range of loading conditions. |
| Keywords: | Polymers Constitutive modeling Viscoelasticity Viscoplasticity Strain-rate sensitivity |
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