A hybrid method for the treatment of arbitrarily oriented thin wires in edge-based finite element analysis of inhomogeneous structures

2002 ◽  
Author(s):  
K. Mahadevan ◽  
U. Pekel ◽  
E. Michielssen ◽  
R. Mittra ◽  
J.A. Murphy ◽  
...  
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Hybrid Method ◽  
Element Analysis ◽  
Thin Wires ◽  
Edge Based

scholarly journals Efficient analysis of welding thermal conduction using the Newton–Raphson method, implicit method, and their combination

2020 ◽  
Vol 111 (7-8) ◽  
pp. 1929-1940 ◽  
Author(s):  
Zhongyuan Feng ◽  
Ninshu Ma ◽  
Wangnan Li ◽  
Kunio Narasaki ◽  
Fenggui Lu
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Hybrid Method ◽  
Thermal Conduction ◽  
Computing Time ◽  
Implicit Method ◽  
Heating Process ◽  
Element Analysis ◽  
Heating And Cooling ◽  
Raphson Method

AbstractFinite element analysis is commonly used to investigate the thermal-mechanical phenomena during welding. To improve the computing efficiency of finite element analysis for welding thermal conduction, a novel Newton–Raphson method (NRM) without the computation of inverse matrix and a hybrid method combing the NRM and conventional implicit method (IMP) were developed. Comparison of computing time between the hybrid method implemented in an in-house software JWRIAN and the IMP used in a commercial software ABAQUS indicated that the computing speed of the former was about 4.5 times faster than that of the latter. Additionally, compared to the conventional IMP, the NRM exhibited higher computing efficiency in the analysis of transient thermal conduction during the welding heating process. Meanwhile, a combined hybrid method of the NRM and IMP was verified to be more efficient in analyzing the welding thermal conduction throughout the heating and cooling processes. Moreover, the thermal cycles computed by the hybrid method were consistent with those from experimental measurement, indicating the high accuracy of the hybrid method. Furthermore, the hybrid method was used to predict the temperature field of the corner boxing fillet joint welded by a low transformation temperature weld metal for generation of compressive residual stress.

On the Practical Implementation of ICCG Method Solving Real Symmetric Linear Equation Arising in Edge-based Finite Element Analysis

2014 ◽  
Vol 134 (9) ◽  
pp. 767-776 ◽  
Author(s):  
Yoshifumi Okamoto ◽  
Yasuhito Takahashi ◽  
Koji Fujiwara ◽  
Akira Ahagon ◽  
Takeshi Mifune ◽  
...  
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Linear Equation ◽  
Practical Implementation ◽  
Element Analysis ◽  
Edge Based
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