The improvement of the accuracy and efficiency of microforming process of polymers is of great significance to meet the miniaturization of polymeric components. When the nonuniform deformation is reduced to the microscopic scale, however, the mechanics of polymers shows a strong reinforcement behavior. Traditional theoretical models of polymers which have not considered material feature lengths are difficult to describe the size effect in micron scale, and the process simulation models based on the traditional theory could not provide effective and precise guidance for polymer microfabrication techniques. The work reported here proposed strategies to simulate size effect behaviors of glassy polymers in microforming process. First, the strain gradient elastoviscoplastic model was derived to describe the size affected behaviors of glassy polymers. Based on the proposed constitutive model, an eight-node finite element with the consideration of nodes' rotation was developed. Then, the proposed finite element method was verified by comparisons between experiments and simulations for both uniaxial compression and microbending. Finally, based on the FE model, under the consideration of the effect of rotation gradient, the strain distribution, the deformation energy, and the processing load were discussed. These strategies are immediately applicable to other wide-ranging classes of microforming process of glassy polymers, thereby foreshadowing their use in process optimizations of microfabrication of polymer components.
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February 2019
Research-Article
Numerical Studies on Size Effect Behaviors of Glassy Polymers Based on Strain Gradient Elastoviscoplastic Model
Yujun Deng,
Yujun Deng
State Key Laboratory of Mechanical System
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Shanghai Key Laboratory of Digital Manufacture
for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Shanghai Key Laboratory of Digital Manufacture
for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
Search for other works by this author on:
Jin Wang,
Jin Wang
State Key Laboratory of Mechanical System
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Shanghai Key Laboratory of Digital Manufacture
for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Shanghai Key Laboratory of Digital Manufacture
for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
Search for other works by this author on:
Peiyun Yi,
Peiyun Yi
State Key Laboratory of Mechanical System
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Shanghai Key Laboratory of Digital Manufacture
for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Shanghai Key Laboratory of Digital Manufacture
for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
Search for other works by this author on:
Linfa Peng,
Linfa Peng
State Key Laboratory of Mechanical System
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Shanghai Key Laboratory of Digital Manufacture
for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Shanghai Key Laboratory of Digital Manufacture
for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
Search for other works by this author on:
Xinmin Lai,
Xinmin Lai
State Key Laboratory of Mechanical System
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Shanghai Key Laboratory of Digital Manufacture
for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Shanghai Key Laboratory of Digital Manufacture
for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
Search for other works by this author on:
Zhongqin Lin
Zhongqin Lin
State Key Laboratory of Mechanical System
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Shanghai Key Laboratory of Digital Manufacture
for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Shanghai Key Laboratory of Digital Manufacture
for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
Search for other works by this author on:
Yujun Deng
State Key Laboratory of Mechanical System
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Shanghai Key Laboratory of Digital Manufacture
for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Shanghai Key Laboratory of Digital Manufacture
for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
Jin Wang
State Key Laboratory of Mechanical System
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Shanghai Key Laboratory of Digital Manufacture
for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Shanghai Key Laboratory of Digital Manufacture
for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
Peiyun Yi
State Key Laboratory of Mechanical System
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Shanghai Key Laboratory of Digital Manufacture
for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Shanghai Key Laboratory of Digital Manufacture
for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
Linfa Peng
State Key Laboratory of Mechanical System
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Shanghai Key Laboratory of Digital Manufacture
for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Shanghai Key Laboratory of Digital Manufacture
for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
Xinmin Lai
State Key Laboratory of Mechanical System
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Shanghai Key Laboratory of Digital Manufacture
for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Shanghai Key Laboratory of Digital Manufacture
for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
Zhongqin Lin
State Key Laboratory of Mechanical System
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Shanghai Key Laboratory of Digital Manufacture
for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Shanghai Key Laboratory of Digital Manufacture
for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
1Corresponding author.
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received August 19, 2018; final manuscript received October 15, 2018; published online November 14, 2018. Assoc. Editor: Yong Zhu.
J. Appl. Mech. Feb 2019, 86(2): 021001 (11 pages)
Published Online: November 14, 2018
Article history
Received:
August 19, 2018
Revised:
October 15, 2018
Citation
Deng, Y., Wang, J., Yi, P., Peng, L., Lai, X., and Lin, Z. (November 14, 2018). "Numerical Studies on Size Effect Behaviors of Glassy Polymers Based on Strain Gradient Elastoviscoplastic Model." ASME. J. Appl. Mech. February 2019; 86(2): 021001. https://doi.org/10.1115/1.4041765
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