Analysis of Opening Plate Injection⁃Molded by Short⁃Fiber⁃Reinforced Thermoplastic Composites Based on Mori⁃Tanaka Method

doi:10.19491/j.issn.1001-9278.2020.07.010

Abstract

Abstract:

This paper reported an investigation on the mechanical properties of opening plate injection?molded by short?fiber?reinforced thermoplastic composites by means of the Mori?Tanaka homogenization method. The Mori?Tanaka method was adopted to predict the stress?strain curves of the composites in both unidirectional and two?dimensional distributions, and then the effect of fiber orientation on the mechanical properties of the opening plate were analyzed by experimental methods. Finally, a multi?scale method was used to study the effects of different injection positions and different opening methods on the mechanical properties of the opening plate. This study was coupled with the fiber direction distribution of the injection molding simulation and the material parameters obtained by the Mori?Tanaka homogenization method in the macroscopic finite element analysis. The results indicated that the opening plate molded by short?side injection exhibited better comprehensive mechanical properties, and the fiber distribution around the hole was the main factor affecting the stress concentration. The overall fiber orientation distribution influenced the stiffness of the opening plate, and however there is a complicated influence from the angle of unidirectional fiber?reinforced composites on the material properties.

Key words: shell with a circle hole, multi?scale, short fiber, orientation, stress concentration

CLC Number:

TQ 320.66⁺2

Zhinan DONG, Fengxiang XU, Wei GUO, Lin HUA, Jianjun SU. Analysis of Opening Plate Injection⁃Molded by Short⁃Fiber⁃Reinforced Thermoplastic Composites Based on Mori⁃Tanaka Method[J]. China Plastics, 2020, 34(7): 61-68.

Figures/Tables 22

Fig.1. Axes de?nition based on the angles of θ and φ, de?ning the orientation vector of p

Fig.2. Flow chart of multi?scale method

Fig.3. Analysis model of fiber orientation influence in different regions

Fig.4. Injection model

Fig.5. Finite element model of the shell with a circle hole

样品	E/ MPa	泊松比	密度/g?cm^?3	屈服应力/ MPa	硬化系数	硬化模量/ MPa
PA66	3 100	0.35	1.14	25	325	150
玻璃纤维	76 000	0.22	2.54	-	-	-

Tab.1. Properties of the composite constituents

Fig.6. Stress?strain curve of unidirectional fiber material

Fig.7. Stress?strain curve of 2D fiber material

试验号	区域A角度/°	区域B角度/°
1	0	0
2	15	15
3	30	30
4	45	45
5	60	60
6	75	75
7	90	90

Tab.2. Unidirectional fiber tests in different regions

试验号	区域A张量第一特征值	区域B张量第一特征值
1	0.1	0.1
2	0.2	0.2
3	0.3	0.3
4	0.4	0.4
5	0.5	0.5
6	0.6	0.6
7	0.7	0.7
8	0.8	0.8
9	0.9	0.9

Tab.3. Two?dimensional fiber tests in different regions

Fig.8. Effect of the angle on stress concentration factor

Fig.9. Effect of the first?order components on the stress concentration factors

Fig.10. Effect of the angle on the stiffness

Fig.11. Effect of the first eigenvalue of the directional tensor on the stiffness

Fig.12. Fiber orientation pattern for long side injection

Fig.13. Fiber orientation pattern for long side injection

Fig.14. Mapping results of fiber direction tensors

Fig.15. Short side injection path diagram

Fig.16. Long side injection path diagram

Fig.17. Finite element results of short side injection

Fig.18. Finite element results of long side injection

项目	应力集中系数	刚度/MPa
短边注塑机械开孔	2.203	5 166.4
短边注塑开孔板	2.00	5 160.9
长边注塑机械开孔	1.99	4 873.4
长边注塑开孔板	2.16	4 870.7

Tab. 4. Stress concentration factor and stiffness

References 15

1	YU S Y, MAI Y W, LAUKE B. Science and Engineering of Short Fibre Reinforced Polymer Composites[M]. 2009.
2	BABU K P, MOHITE P M, UPADHYAY C. Development of an RVE and Its Stiffness Predictions Based on Mathematical Homogenization Theory for Short Fibre Composites[J]. International Journal of Solids and Structures，2018, 130⁃131(1):80⁃104.
3	SHOKRIEH M M, MOSHREFZADEH⁃SANI H. An optimized Representative Volume Element to Predict The Stiffness of Aligned Short Fiber Composites[J]. Journal of Composite Materials，2016, 50(23):3 301⁃3 310.
4	TIAN W, QI L, SU C, et al. Numerical Evaluation on Mechanical Properties of Short⁃fiber⁃reinforced Metal Matrix Composites: Two⁃step Mean⁃field Homogenization Procedure[J]. Composite Structures ，2016, 139(4):96⁃103.
5	陈玉丽,马勇,潘飞,等. 多尺度复合材料力学研究进展[J].固体力学学报,2018,39(01):1⁃68.
	CHEN Y L, MA Y, PAN F, et al. Research Progress of Multi⁃scale Composite Mechanics [J]. Journal of Solid Mechanics, 2018, 39 (1): 1⁃68.
6	BERBENNI S, CAPOLUNGO L A. Mori⁃Tanaka Homogenization Scheme for Non⁃linear Elasto⁃viscoplastic Heterogeneous Materials Based on Translated Fields: An Affine Extension[J]. Comptes Rendus Mécanique, 2015, 343(2):95⁃106.
7	GONG S, LI Z, ZHAO Y Y. An Extended Mori⁃Tanaka Model for The Elastic Moduli of Porous Materials of Finite Size[J]. Acta Materialia, 2011, 59(17):6 820⁃6 830.
8	LURIE S, SOLYAEV Y, SHRAMKO K. Comparison Between The Mori⁃Tanaka and Generalized Self⁃consistent Methods in The Framework of Anti⁃plane Strain Inclusion Problem in Strain Gradient Elasticity[J].Mechanics of Materials,2018, 122(7):133⁃144.
9	胡学川, 李又兵. 基于Moldflow的汽车中央控制面板中玻纤取向的分析[J]. 塑料工业, 2014,42(10):53⁃55.
	HU X C, LI Y B. Analysis of Glass Fiber Orientation in Automobile Central Control Panel Based on Moldflow [J]. Plastics Industry, 2014,42 (10): 53⁃55.
10	黄达勇, 丁智平, 荣继刚, 等. 短玻纤增强工程塑料纤维取向张量影响因素研究[J]. 湖南工业大学学报, 2016, 30(3):12⁃18.
	HUANG D Y, DING Z P, RONG J G, et al. Study on Influencing Factors of Orientation Tensor of Short Glass Fiber Reinforced Engineering Plastics [J]. Journal of Hunan University of Technology, 2016, 30 (3): 12⁃18
11	ADVANI, SURESH G. The Use of Tensors to Describe and Predict Fiber Orientation in Short Fiber Composites[J]. Journal of Rheology, 1987, 31(8):751⁃784.
12	GRUBER B, HUFENBACH W, KROLL L, et al. Stress Concentration Analysis of Fibre⁃reinforced Multilayered Composites with Pin⁃loaded Holes[J]. Composites Science and Technology, 2007, 67(7/8):1 439⁃1 450.
13	NGUYEN D H, WANG H. Multi⁃scale Analyses of Three Dimensional Woven Composite 3D Shell with a Cut Out Circle[J]. Applied Composite Materials, 2019, 26(1): 339⁃356.
14	PIERARD O, GONZALEZ C, SEGGURADO J, et al. Micromechanics of Elasto⁃plastic Materials Reinforced with Ellipsoidal Inclusions[J]. International Journal of Solids and Structures, 2007, 44(21):6 945⁃6 962.
15	TUCKER III C L, LIANG E. Stiffness Predictions for Unidirectional Short⁃fiber Composites: Review and Evaluation[J]. Composites Science and Technology, 1999, 59(5):655⁃671.

[1]	HUANG Xuemei, LIU Hesheng, HUANG Xingyuan, YU Zhong, JIANG Shiyu. Numerical simulation and experimental study on gas⁃assisted extrusion process of U⁃shaped parts [J]. China Plastics, 2022, 36(7): 93-103.
[2]	ZHANG Zhouya, BAI Shijian, ZHANG Yuxia, ZHOU Hongfu, GONG Fangfang, TANG Xueguli, WANG Bin. Research Progress in Factors Affecting Thermal Conductivity of Polymeric Materials [J]. China Plastics, 2021, 35(9): 156-165.
[3]	LUO Fei, LI Cuijuan, LIU Zhuojia, LIU Yuxin, SHI Suyu, DANG Xudan, LIU Chuntai, ZHAO Yongtao. Study on Relationship between Molecular Orientation and Dynamic Viscoelasticity of Polycarbonate [J]. China Plastics, 2021, 35(9): 81-86.
[4]	ZHONG Luohao, KUANG Tangqing, LAI Jiamei, LIU Hesheng, LAI Dewei. Effect of Molding Process on Wall Residual Thickness Distribution and Glass⁃fiber Orientation of Short⁃glass⁃fiber⁃reinforced Polypropylene Molded Pipes [J]. China Plastics, 2021, 35(5): 11-16.
[5]	ZHU Ruixia, GAN Lu, WU Zhixuan. Comparative Analysis of Several Common PVC Engineering Pipes for Water Supply [J]. China Plastics, 2021, 35(3): 50-58.
[6]	LUO Fei, HAO Lingao, WANG Tengfei, LIU Hongpeng, DANG Xudan, WANG Yaming, LIU Chuntai, SONG Yan. High⁃temperature Stretching Induced Multi⁃structural Deformation of PLA⁃based Composites [J]. China Plastics, 2021, 35(2): 77-83.
[7]	WANG Suwei, ZHANG Wenxin, XUE Ping, ZHANG Guangpu, HU Yubing, JIANG Wei. An overview in self⁃reinforced polymer⁃based composites prepared using solid⁃state molding technology [J]. China Plastics, 2021, 35(12): 166-173.
[8]	Rui YANG, Zhengtao SU, Hongbo LI, Wenbo ZHAO. Effect of Graphite Orientation on Tribological Properties of Polyimide [J]. China Plastics, 2020, 34(5): 21-25.
[9]	ZHANG Yunqing. A Review on Orientation Model of Long⁃Fiber⁃Reinforced Thermoplastics Fiber [J]. China Plastics, 2020, 34(12): 103-109.
[10]	. Research on flexible substrate microneedle process parameters for micro-injection compression molding [J]. China Plastics, 2018, 32(12): 80-85.
[11]	. Research Progress of Self-reinforced Plastic Pipes [J]. China Plastics, 2018, 32(01): 1-6.
[12]	. Progress in Intrinsic Thermally Conductive Thermoplastics [J]. China Plastics, 2017, 31(4): 1-5 .
[13]	Wei HUANG. Analysis of Relation Between Fiber Orientation and Gate Locations of Electric Box Covers [J]. China Plastics, 2016, 30(09): 54-57 .
[14]	. Effect of Shear on Morphology and Properties of Polypropylene/Graphene Nanoplatelets Nanocomposites [J]. China Plastics, 2016, 30(06): 45-51 .
[15]	. Study on Processing Technology of Extrusion and Drawing for Heat Shrinkable Polyethylene Sheets [J]. China Plastics, 2015, 29(8): 87-90 .