Thermoplastic Modeling
AbstractA constitutive model for amorphous thermoplastics using a thermodynamic approach with physically motivated internal state variables has been developed to predict the complex mechanical behavior of polymers. The formulation follows current internal state variable methodologies used for metals and departs from the springdashpot representation generally used to characterize the mechanical behavior of polymers. The selection of internal state variables was guided by a hierarchical multiscale modeling approach that bridged deformation mechanisms from the molecular dynamics scale (coarse grain model) to the continuum level. The model equations were developed within a large deformation kinematics and thermodynamics framework where the hardening behavior at large strains was captured using a kinematictype hardening variable with two possible evolution laws: a current method based on hyperelasticity theory and an alternate method whereby kinematic hardening depends on chain stretching and material plastic flow. The three dimensional equations were then reduced to the onedimensional case to quantify the material parameters from monotonic compression test data at different applied strain rates. To illustrate the generalized nature of the constitutive model, material parameters were determined for four different amorphous polymers: polycarbonate, poly(methylmethacrylate), polystyrene, and poly(2,6dimethyl1,4phenylene oxide). This model captures the complex character of the stressstrain behavior of these amorphous polymers for a range of strain rates.^{[1]} Author(s): J.L. Bouvard, D.K. Ward, D. Hossain, E.B. Marin, D.J. Bammann, and M.F. Horstemeyer 

MethodologyThe material model was developed using an ISV formalism, where both a large deformation kinematics and a thermodynamics setting was employed. Such a framework consider the time and temperature dependent response of the thermoplastics. The MSU model implemented into commercial FEA code (ABAQUS) were calibrated using the material database and validated with impact and threepoint bending tests.  
Material ModelThe three dimensional summary was implemented in ABAQUS Explicit). 

Input DataSome examples of using different finite element simulations with associated input decks using our MSU TP 1.0 model can be garnered from the following locations:


Results


Acknowledgments
 
References
