Abstract
We investigate the characteristic deformation behavior of an amorphous polymer with a heterogeneous distribution of the initial shear strength (ISS). The deformation behavior of polymers under macroscopically uniform tension, and of plane strain polymer unit cell with a cylindrical void under combined straining were investigated by computational simulation with the nonaffine molecular chain network model. The results revealed the onset, evolution and interaction of microscopic shear bands emanating from slightly weak points, and the percolation of new shear bands. The micro- to macroscopic isotropy of the deformation response has been verified. Although the existence of distribution of ISS substantially affects the deformation, the effects of distribution patterns and standard deviation of ISS on the deformation were small. The interaction between the heterogeneity of ISS and voids substantially affects such micro- to macroscopic deformation behavior as onset and propagation of shear bands, mean stress distribution, and macroscopic stress vs strain relationship.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Courtney, T. H., Mechanical Behavior of Materials, 1990, McGraw-Hill.
Boyce, M. C., and Chui, C., Effect of heterogeneities and localization of polymer deformation and recovery, T., De Borst, R and Van der Giessen, E., Eds. Proc. IUTAM Symposium on Materials Instabilities, 1998, Wiley & Sons Ltd., 269–285.
Tomita, Y., Lu, W., and Uchida, M., Characterization of Micro- to Macroscopic Response of Amorphous Polymers under Macroscopically Uniform Deformation, Proc. ICTP 7, Advanced Technology of Plasticity, 2002, 1591–1596.
Uchida, M., and Tomita,Y., Effect of Heterogenity of Microstructure of Amorphous Polymer on Micro- to Macroscopic Deformation Behavior, submitted to Trans JSME (in Japanese)
Tomita, Y., Adachi, T., and Tanaka, S., Modelling and Application of Constitutive Equation for Glassy Polymer Based on Nonaffine Network Theory, Eur. J. Mech. A/Solids, 1997, 16, 745–755.
Kitagawa, H and Tomita, Y., An incremental finite element analysis of two dimensional large strain and large displacement problems for elasto-plastic materials, Theoretical and Applied Mechanics, 1971, 21, 243–255.
Argon, A. S., A theory for the low-temperature plastic deformation of glassy polymers, Phil. Mag. 1973, 28, 839–865.
Boyce, M. C., Parks, D. M. and Argon, A. S., Large inelastic deformation of glassy polymers, Part I: rate dependent constitutive model, Mech. Mater., 1988. 7, 15–33.
Arruda, E. M. and Boyce, M. C., A three-dimensional constitutive model for large stretch behavior of rubber materials, J. Mech. Phys. Solids, 1993, 41, 389–412.
Kashu, Y., Adachi, T. and Tomita, Y., AFM observation of microscopic behavior of glassy polymer with application to understanding of macroscopic behavior, Eds. Abe, T and Tsuta, T, Proc. AEPA’96 Pergamon, 1996, 501–505.
Adachi, T., Tomita, Y., and Kashu, Y., AFM observation of microscopic behavior of glassy polymer under macroscopic tension, Trans. JSME, 1998, 64A, 758–764. (in Japanese)
Itoh, T., Yashiro, K., and Tomita, Y., Molecular dynamic study on deformation of molecular chains in amorphous polymer, JSMS 7th Symposium on Molecular Dynamics, 2002, 50–55.
Steenbrink, A.C., Van der Giessen, E., Wu, P.D., Studies on growth of voids in amorphous glassy polymers, J. Mat. Sci., 33, 1998, 3163–3175.
Tomita, Y., and Lu, W., Computational Characterization of Micro- to Macroscopic Mechanical Behavior of Polymers Containing Second-Phase Particles, Int. J. Damage Mech., 11, 2002, 129–149.
Tomita, Y., and Uchida, M., Characterization of Micro- to Macroscopic Deformation Behavior ofAmorphous Polymer, Key Engineering Materials, 233, 2003, 673–678.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Tomita, Y., Uchida, M. (2004). Computational Evaluation of Micro- to Macroscopic Deformation Behavior of Amorphous Polymer with Slightly Heterogeneous Distribution of Initial Shear Strength. In: Kitagawa, H., Shibutani, Y. (eds) IUTAM Symposium on Mesoscopic Dynamics of Fracture Process and Materials Strength. Solid Mechanics and its Applications, vol 115. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-2111-4_24
Download citation
DOI: https://doi.org/10.1007/978-1-4020-2111-4_24
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6576-6
Online ISBN: 978-1-4020-2111-4
eBook Packages: Springer Book Archive