赵明,武传松,陈茂爱.焊接热过程数值分析中相变潜热的三种解决方案[J].焊接学报,2006,27(9):55-58.ZHAO M,WU C S,CHEN M A.Solutions for latent heat of phase change in numerical analysis of arc welding[J].Transactions of The China Welding Institution,2006,27(9):55-58.(in Chinese)

王薇,金成,史春元.网格尺寸对双椭球热源模型作用下焊接温度场计算的影响[J].焊接学报,2016,37(7):39-43.WANG W,JIN C,SHI C Y.Effect of mesh size on calculation of welding temperature field under double ellipsoid heat source model[J].Transactions of The China Welding Institution,2016,37(7):39-43.(in Chinese)

ARTINOV A,BACHMANN M,RETHMEIER M.Equivalent heat source approach in a 3D transient heat transfer simulation of full-penetration high power laser beam welding of thick metal plates[J].International Journal of Heat&Mass Transfer,2018,122(July 2018):1003-1013.

贾强,郭伟,彭鹏,等.DP980激光焊接温度场模拟及力学性能[J].稀有金属材料与工程,2017,46(7):1905-1911.JIA Q,GUO W,PENG P,et al.Temperature field simulation and mechanical properties of laser welded DP980 steel joints[J].Rare Metal Materials and Engineering,2017,46(7):1905-1911.(in Chinese)

CARMO D A D,FARIA A R D.A 2D finite element with through the thickness parabolic temperature distribution for heat transfer simulations including welding[J].Finite Elements in Analysis&Design,2015,93(93):85-95.

赵秋,吴冲.U肋加劲板焊接残余应力数值模拟分析[J].工程力学,2012,29(8):262-268.ZHAO Q,WU C.Numerical analysis of welding residual stress of U-rib stiffened plate[J].Engineering Mechanics,2012,29(8):262-268.(in Chinese)

夏胜全,孙晓明.CO2短路过渡焊接熔池三维瞬态数值模拟[J].焊接学报,2016,37(1):115-119.XIA S Q,SUN X M.Three-dimensional transient numerical simulation of melting pool in CO2 short-circuiting arc welding[J].Transactions of The China Welding Institution,2016,37(1):115-119.(in Chinese)

MIRZAEE-SISAN A,WU G.Residual stress in pipeline girth welds-a review of recent data and modelling[J].International Journal of Pressure Vessels and Piping,2018,169(2019):142-152.

GOLDAK J,CHAKRAVARTI A,BIBBY M.A new finite element model for welding heat sources[J].Metallurgical and Materials Transactions B,1984,15(2):299-305.

OBEID O,ALFANO G,BAHAI H.Thermo-mechanical analysis of a single-pass weld overlay and girth welding in lined pipe[J].Journal of Materials Engineering and Performance,2017,16(8):3861-3876.

张为,姜涛,曹国华,等.基于数值模拟的涡轮风扇结构优化设计[J].新疆大学学报（自然科学版）,2018,35(2):143-149.ZHANG W,JIANG T,CAO G H,et al.The optimization design of turbine fan based on numerical simulation[J].Journal of Xinjiang University(Natural Science Edition),2018,35(2):143-149.(in Chinese)

CHEN B Q,HASHEMZADEH M,GUEDES SOARES C.Numerical and experimental studies on temperature and distortion patterns in butt-welded plates[J].The International Journal of Advanced Manufacturing Technology,2014,72(5-8):1121-1131.

周建平,张连强,许燕,等.T型管焊接机的结构动力学分析[J].新疆大学学报(自然科学版),2013(3):269-273+250.ZHOU J P,ZHANG L Q,XU Y,et al.Analysis of dynamic characteristics of T-tube welding machine[J].Journal of Xinjiang University(Natural Science Edition),2013(3):269-273+250.(in Chinese)