FINITE ELEMENT ANALYSIS OF TEMPERATURE FIELD WITH PHASE TRANSFORMATION AND NON-LINEAR SURFACE HEAT-TRANSFER COEFFICIENT DURING QUENCHING

Abstract

Abstract: The calculation of temperature field has a great influence upon the analysis of thethermal stresses and strains during quenching, and also upon the residual stresses andmicrostructure of the workpiece after quenching, too. In this paper. a 42CrMo steelcylinder was taken as an investigating example. From the TTT diagram of the 42CrMo steel, the CCT diagram was simulated by mathematical transformation, and thevolume fraction of phase constituents was calculated. The thermal physical propertieswere treated as the functions of temperature and the volume fraction of phaseconstitutents. Finally, the temperature field with phase transformation and non-linearsurface heat-transfer coefficients was calculated with finite element method. and thecorresponding functional of temperature was established.

Key words: finite element method, quenching, heat conduction, phase transformation

Cheng Heming;Zhang Shuhong;Wang Honggang;Li Jianyun . FINITE ELEMENT ANALYSIS OF TEMPERATURE FIELD WITH PHASE TRANSFORMATION AND NON-LINEAR SURFACE HEAT-TRANSFER COEFFICIENT DURING QUENCHING. Applied Mathematics and Mechanics (English Edition), 1998, 19(1): 15-20.

TrendMD

[1]	Pan WANG, Xiangcheng HAN, Weibin WEN, Baolin WANG, Jun LIANG. Galerkin-based quasi-smooth manifold element (QSME) method for anisotropic heat conduction problems in composites with complex geometry [J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(1): 137-154.
[2]	Zhiping QIU, Zhao WANG, Bo ZHU. A symplectic finite element method based on Galerkin discretization for solving linear systems [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(8): 1305-1316.
[3]	Feiyang HE, Zhiyu SHI, Denghui QIAN, Y. K. LU, Yujia XIANG, Xuelei FENG. Flexural wave bandgap properties of phononic crystal beams with interval parameters [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(2): 173-188.
[4]	Chenxue JIA, Zihao WANG, Donghui ZHANG, Taihua ZHANG, Xianhong MENG. Fracture of films caused by uniaxial tensions: a numerical model [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(12): 2093-2108.
[5]	Xiaokang DU, Yuanzhao CHEN, Jing ZHANG, Xian GUO, Liang LI, Dingguo ZHANG. Nonlinear coupling modeling and dynamics analysis of rotating flexible beams with stretching deformation effect [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(1): 125-140.
[6]	Dian XU, Xinran ZHENG, Dongqi AN, Chao ZHOU, Xiuwen HUANG, Rui LI. New analytic solutions to 2D transient heat conduction problems with/without heat sources in the symplectic space [J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(8): 1233-1248.
[7]	Wenjie SUN, Wentao MA, Fei ZHANG, Wei HONG, Bo LI. Snap-through path in a bistable dielectric elastomer actuator [J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(8): 1159-1170.
[8]	Si YUAN, Quan YUAN. Condensed Galerkin element of degree m for first-order initial-value problem with O(h^2m+2) super-convergent nodal solutions [J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(4): 603-614.
[9]	S. HUSSAIN, T. TAYEBI, T. ARMAGHANI, A. M. RASHAD, H. A. NABWEY. Conjugate natural convection of non-Newtonian hybrid nanofluid in wavy-shaped enclosure [J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(3): 447-466.
[10]	Chi XU, Yang LI, Mingyue LU, Zhendong DAI. Buckling analysis of functionally graded nanobeams under non-uniform temperature using stress-driven nonlocal elasticity [J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(3): 355-370.
[11]	Xinyue LIU, Jinfang AI, Jun XIE, Guohui HU. Numerical study of opposed zero-net-mass-flow jet-induced erythrocyte mechanoporation [J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(11): 1763-1776.
[12]	Zhao ZHAO, Yuhang LI, Sujun DONG, Yi CUI, Zheng DAI. An analytic model for transient heat conduction in bi-layered structures with flexible serpentine heaters [J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(9): 1279-1296.
[13]	M. KOHANSAL-VAJARGAH, R. ANSARI, M. FARAJI-OSKOUIE, M. BAZDID-VAHDATI. Vibration analysis of two-dimensional structures using micropolar elements [J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(7): 999-1012.
[14]	Kun SONG, Deshun YIN, Haibing YANG, P. SCHIAVONE. Interaction effects on heat conduction and thermal stress in an infinite elastic plane with two circular holes [J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(2): 223-234.
[15]	Ying LIU, Yanping CHEN, Yunqing HUANG, Qingfeng LI. Analysis of a two-grid method for semiconductor device problem [J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(1): 143-158.

FINITE ELEMENT ANALYSIS OF TEMPERATURE FIELD WITH PHASE TRANSFORMATION AND NON-LINEAR SURFACE HEAT-TRANSFER COEFFICIENT DURING QUENCHING

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments