Time dependent mechanical modeling for polymers based on network theory

Despite of a lot of attempts during recent years, complex mechanical behaviour of polymers remains incompletely modelled, making industrial design of structures under complex, cyclic and hard loadings not totally reliable. The non linear and dissipative viscoelastic, viscoplastic behaviour of those...

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Bibliographic Details
Main Author: Billon, Noëlle
Format: Conference Proceeding
Language:English
Subjects:
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
COUPLINGS
Crystal structure
Crystallinity
DESIGN
Design engineering
Mathematical models
Mechanical properties
NONLINEAR PROBLEMS
Parameter identification
PMMA
Polyethylene terephthalate
Polymers
Polymethyl methacrylate
SIMULATION
STRAIN RATE
STRAINS
TIME DEPENDENCE
VALIDATION
Viscoelasticity
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Summary:Despite of a lot of attempts during recent years, complex mechanical behaviour of polymers remains incompletely modelled, making industrial design of structures under complex, cyclic and hard loadings not totally reliable. The non linear and dissipative viscoelastic, viscoplastic behaviour of those materials impose to take into account non linear and combined effects of mechanical and thermal phenomena. In this view, a visco-hyperelastic, viscoplastic model, based on network description of the material has recently been developed and designed in a complete thermodynamic frame in order to take into account those main thermo-mechanical couplings. Also, a way to account for coupled effects of strain-rate and temperature was suggested. First experimental validations conducted in the 1D limit on amorphous rubbery like PMMA in isothermal conditions led to pretty goods results. In this paper a more complete formalism is presented and validated in the case of a semi crystalline polymer, a PA66 and a PET (either amorphous or semi crystalline) are used. Protocol for identification of constitutive parameters is described. It is concluded that this new approach should be the route to accurately model thermo-mechanical behaviour of polymers using a reduced number of parameters of some physicl meaning.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4949663