Chapter 2
Peridynamic Simulation for Thermal
and Mechanical Behavior
of Manufactured Structures with MIG
Welding
Hui Li, Liping Zhang, Zhenyu Liu, Lijuan Li, Yixiong Zhang,
and Xuejiao Shao
Abstract A new numerical simulation method is developed for the evaluation of
thermal and mechanical analyses of manufactured structures with Metal Inert Gas
(MIG) welding on the basis of the peridynamics. The peridynamic formulations of
the weak coupled thermo-mechanical problems are derived based on a heat transfer
model and a microplastic model. To simulate the MIG welding process, a birth–
death material point method in the peridynamic framework is proposed to model
the addition of weld metal to the workpiece. To simplify the calculation process and
improve the computational efficiency due to no need of updating the neighbourhoods
of material points, an additional scalar field is introduced in the equations to describe
the birth and death states of the material points. In addition, the present method is
applied to simulate a classical model of two plates being joined together by the MIG
welding. The results indicate that the residual tensile deformations are formed in the
welded area while the residual compressive deformations are formed far from the
wild line after the release of the clamps on account of the plastic deformation. These
results also demonstrate the validity of the present method for the simulation of the
MIG welding by comparing with the reference solution.
Keywords Peridynamics · Welded structures · Birth–death material point ·
Residual deformation · Numerical simulation
2.1 Introduction
With the development of industry, the welding plays a more and more important role
in a lot of manufacturing fields. The welded structures can achieve preferably the
functions and properties of products to satisfy the needs of automobile, aerospace,
H. Li (B) · L. Zhang · Z. Liu · L. Li · Y. Zhang · X. Shao
Science and Technology On Reactor System Design Technology Laboratory, Nuclear Power
Institute of China, No. 328 Changshun Avenue, Chengdu 610200, Sichuan, P. R. China
e-mail: lhcnpi@163.com
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
J. Xu and K. M. Pandey (eds.), Mechanical Engineering and Materials,
Mechanisms and Machine Science 100,
https://doi.org/10.1007/978-3-030-68303-0_2
17
Peridynamic Simulation for Thermal
and Mechanical Behavior
of Manufactured Structures with MIG
Welding
Hui Li, Liping Zhang, Zhenyu Liu, Lijuan Li, Yixiong Zhang,
and Xuejiao Shao
Abstract A new numerical simulation method is developed for the evaluation of
thermal and mechanical analyses of manufactured structures with Metal Inert Gas
(MIG) welding on the basis of the peridynamics. The peridynamic formulations of
the weak coupled thermo-mechanical problems are derived based on a heat transfer
model and a microplastic model. To simulate the MIG welding process, a birth–
death material point method in the peridynamic framework is proposed to model
the addition of weld metal to the workpiece. To simplify the calculation process and
improve the computational efficiency due to no need of updating the neighbourhoods
of material points, an additional scalar field is introduced in the equations to describe
the birth and death states of the material points. In addition, the present method is
applied to simulate a classical model of two plates being joined together by the MIG
welding. The results indicate that the residual tensile deformations are formed in the
welded area while the residual compressive deformations are formed far from the
wild line after the release of the clamps on account of the plastic deformation. These
results also demonstrate the validity of the present method for the simulation of the
MIG welding by comparing with the reference solution.
Keywords Peridynamics · Welded structures · Birth–death material point ·
Residual deformation · Numerical simulation
2.1 Introduction
With the development of industry, the welding plays a more and more important role
in a lot of manufacturing fields. The welded structures can achieve preferably the
functions and properties of products to satisfy the needs of automobile, aerospace,
H. Li (B) · L. Zhang · Z. Liu · L. Li · Y. Zhang · X. Shao
Science and Technology On Reactor System Design Technology Laboratory, Nuclear Power
Institute of China, No. 328 Changshun Avenue, Chengdu 610200, Sichuan, P. R. China
e-mail: lhcnpi@163.com
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
J. Xu and K. M. Pandey (eds.), Mechanical Engineering and Materials,
Mechanisms and Machine Science 100,
https://doi.org/10.1007/978-3-030-68303-0_2
17