The Influence of Intrinsic Strain Softening on Strain Localization in Polycarbonate: Modeling and Experimental Validation

[+] Author and Article Information
L. E. Govaert, W. A. M. Brekelmans

Eindhoven University of Technology, Faculty of Mechanical Engineering, P.O. Box 512, 5600 MB Eindhoven, The Netherlands

P. H. M. Timmermans

Philips Center for Manufacturing Technology, Eindhoven, The Netherlands

J. Eng. Mater. Technol 122(2), 177-185 (Nov 23, 1999) (9 pages) doi:10.1115/1.482784 History: Received May 05, 1999; Revised November 23, 1999
Copyright © 2000 by ASME
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Grahic Jump Location
Schematic representation of the effect of strain rate on the true stress-strain curve of a glassy polymer
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Schematic representation of the effect of physical aging on the true stress-strain curve of a glassy polymer
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Schematic representation of the response in uniaxial extension from the Leonov model
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Geometry of axisymmetrical specimens for (a) uniaxial extension and torsion experiments and (b) uniaxial compression experiments. Dimensions in [mm].
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Yield stress over absolute temperature |σzz|/T as a function of strain rate ε̇zz. The solid lines are a best fit using a single set of yielding parameters for each polymer.
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True stress σzz versus λzz2−λzz−1 during a tensile test at ε̇=2.2⋅10−3 [s−1] of a polycarbonate tensile bar, preconditioned in torsion
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Determination of the softening parameters in polycarbonate at a compressive strain rate of 10−3 [s−1] at room temperature. (a) fitting the post-yield softening behavior; (b) simulation using the compressible Leonov model.
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Definition of the geometry of the longitudinal cross-section of the axisymmetrical tensile bar
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Simulated tensile response of polycarbonate in terms of the nominal stress σzz0 and the draw ratio in the neck λN versus the nominal strain εzz0 at a nominal strain rate ε̇zz0=7.5⋅10−3 [s−1]. The deformed meshes at different stages of the simulation (a–e) are also shown.
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Comparison of simulated and experimental values of the nominal stress during neck propagation at room temperature as a function of the nominal strain rate using different values of D. The lines are fitted through the results of the simulations.
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Simulated and experimental values of the nominal stress during neck propagation versus nominal strain rate at different temperatures using D=36. The lines are fitted through the results of the simulations.
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Results of simulations of the mechanical preconditioning by torsion at an applied twist rate φ̇=9.1⋅10−4 [rad s−1 mm−1] at room temperature. (a) Torque versus twist per unit length and (b) distribution of the softening parameter D over the (dimensionless) radius at stages C and F in (a).
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Distribution of the relevant components of the Cauchy stress tensor over the (dimensionless) radius at stage C and the residual stress distribution after mechanical preconditioning at stage F in Fig. 12(a)
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Simulated and experimental curves of (a) torque versus twist per unit length and (b) compressive normal force versus twist per unit length for rejuvenated polycarbonate
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Simulated and experimental true stress σzz versus λzz2−λzz−1 during a tensile test at a strain rate of 2.25⋅10−3 [s−1] of a polycarbonate tensile bar, preconditioned in torsion. The indications (a–d) are related to the deformed meshes at different stages of the deformation.



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