Abstract
Polymers have desirable mechanical properties and have been widely used as structural materials instead of metals under severe mechanical conditions. In the previous paper, a new concept of "molecular chain slip system" is analogically proposed on the basis of crystal plasticity theory for metals. Moreover, an inelastic response law based on a probabilistic theory considering change of local free volume is adopted as a hardening law. However, the validity of this model is not numerically proved in detail. In this paper, we explain a method of large deformation analysis for glassy polymer using the present model. A finite element simulation is carried out for PMMA under plane strain tension. Macroscopic neck propagation with high strain rate shear band and directions of molecular chains in the oriented region are computationally visualized. It is indicated that independent rotation of slip systems can express an orientation hardening without constitutive equation of backstress. Furthermore, a nonlinear viscoelastic behavior that cannot be expressed by the conventional hardening law is accurately predicted.
| Original language | English |
|---|---|
| Pages (from-to) | 105-114 |
| Number of pages | 10 |
| Journal | Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A |
| Volume | 74 |
| Issue number | 1 |
| Publication status | Published - 2008 Jan |
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Keywords
- Crystal plasticity
- Finite deformation theory
- Finite element method
- Inelasticity
- Local free volume
- Molecular chain
- Polymer
- Shear band
- Viscoelasticity
ASJC Scopus subject areas
- Mechanical Engineering
Cite this
Large deformation analysis for glassy polymer based on molecular chain plasticity model like crystal plasticity theory considering change of local free volume. / Nada, Hironori; Shizawa, Kazuyuki.
In: Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A, Vol. 74, No. 1, 01.2008, p. 105-114.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Large deformation analysis for glassy polymer based on molecular chain plasticity model like crystal plasticity theory considering change of local free volume
AU - Nada, Hironori
AU - Shizawa, Kazuyuki
PY - 2008/1
Y1 - 2008/1
N2 - Polymers have desirable mechanical properties and have been widely used as structural materials instead of metals under severe mechanical conditions. In the previous paper, a new concept of "molecular chain slip system" is analogically proposed on the basis of crystal plasticity theory for metals. Moreover, an inelastic response law based on a probabilistic theory considering change of local free volume is adopted as a hardening law. However, the validity of this model is not numerically proved in detail. In this paper, we explain a method of large deformation analysis for glassy polymer using the present model. A finite element simulation is carried out for PMMA under plane strain tension. Macroscopic neck propagation with high strain rate shear band and directions of molecular chains in the oriented region are computationally visualized. It is indicated that independent rotation of slip systems can express an orientation hardening without constitutive equation of backstress. Furthermore, a nonlinear viscoelastic behavior that cannot be expressed by the conventional hardening law is accurately predicted.
AB - Polymers have desirable mechanical properties and have been widely used as structural materials instead of metals under severe mechanical conditions. In the previous paper, a new concept of "molecular chain slip system" is analogically proposed on the basis of crystal plasticity theory for metals. Moreover, an inelastic response law based on a probabilistic theory considering change of local free volume is adopted as a hardening law. However, the validity of this model is not numerically proved in detail. In this paper, we explain a method of large deformation analysis for glassy polymer using the present model. A finite element simulation is carried out for PMMA under plane strain tension. Macroscopic neck propagation with high strain rate shear band and directions of molecular chains in the oriented region are computationally visualized. It is indicated that independent rotation of slip systems can express an orientation hardening without constitutive equation of backstress. Furthermore, a nonlinear viscoelastic behavior that cannot be expressed by the conventional hardening law is accurately predicted.
KW - Crystal plasticity
KW - Finite deformation theory
KW - Finite element method
KW - Inelasticity
KW - Local free volume
KW - Molecular chain
KW - Polymer
KW - Shear band
KW - Viscoelasticity
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UR - http://www.scopus.com/inward/citedby.url?scp=42049098680&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:42049098680
VL - 74
SP - 105
EP - 114
JO - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
JF - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
SN - 0387-5008
IS - 1
ER -