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

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.

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Development of a New Finite-Element Method to Analyze Deformation of Plate Due to Line Heating

Journal of Ship Production ◽

10.5957/jsp.2001.17.1.1 ◽

2001 ◽

Vol 17 (01) ◽

pp. 1-7

Author(s):

Seung Il Seo ◽

Yoon Ho Yang ◽

Chang Doo Jang

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Local Heating ◽

Heating Element ◽

Heating Process ◽

Labor Costs ◽

Line Heating ◽

Element Analysis ◽

Energy Principle ◽

Heating And Cooling

The line heating process has been used to create curved surfaces of ship structures. However, because it depends on a worker's skill and experience, it has been a factor in preventing the automation of shipyards and in consuming labor costs. In this paper, to reduce the trial-and-error procedure of line heating work by simulating the deforming process of a plate, a finite-element analysis method is proposed. A new element, called the line heating element, is defined and applied. The line heating element is assumed to have orthotropic material property. Shrinkage forces and moments resulting from line heating are obtained by integration of inherent strains formed by local heating and cooling. The shrinkage forces and moments at the inherent strain region are converted to equivalent nodal forces by the energy principle. Results calculated using the line heating element show good agreement with the results obtained by the commercial finite-element analysis code.

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Finite Element Analysis of Dynamically Loaded Flexible Journal Bearings: A Fast Newton-Raphson Method

Journal of Tribology ◽

10.1115/1.3261983 ◽

1989 ◽

Vol 111 (4) ◽

pp. 597-604 ◽

Cited By ~ 68

Author(s):

J. D. C. McIvor ◽

D. N. Fenner

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Computing Time ◽

Journal Bearings ◽

Element Analysis ◽

Dynamically Loaded ◽

Newton Raphson ◽

Time Required ◽

Raphson Method ◽

Isoparametric Elements

A fast Newton-Raphson method is presented for the finite element analysis of dynamically loaded flexible journal bearings. The method makes use of 8-node isoparametric elements for the lubrication analysis and 20-node isoparametric elements for the structural analysis. Results are presented for the Ruston and Hornsby 6VEB Mk III marine diesel big-end bearing using this method. The computing time required for this analysis is more than two orders of magnitude less than that previously reported for an elastohydrodynamic bearing analysis using a conventional Newton-Raphson method.

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A Non-Cyclic Method for Plastic Shakedown Analysis

Computer Technology and Applications ◽

10.1115/pvp2003-1889 ◽

2003 ◽

Cited By ~ 2

Author(s):

W. Reinhardt

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Computing Time ◽

Strain Accumulation ◽

Analysis Method ◽

Element Analysis ◽

The Finite Element Analysis ◽

Cyclic Phenomenon ◽

Elastic Shakedown ◽

Plastic Shakedown

Shakedown is a cyclic phenomenon, and for its analysis it seems natural to employ a cyclic analysis method. Two problems are associated when this direct approach is used in finite element analysis. Firstly, the analysis typically needs to be stabilized over several cycles, and the analysis of each individual cycle may need a considerable amount of computing time. Secondly, even in cases where a stable cycle is known to exist, the finite element analysis can show a small continuing amount of strain accumulation. For elastic shakedown, non-cyclic analysis methods that use Melan’s theorem have been proposed. The present paper extends non-cyclic lower bound methods to the analysis of plastic shakedown. The proposed method is demonstrated with several example problems.

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2515 Elasto-plastic contact, electric current and thermal conduction triply coupled finite element analysis of resistance spot welding with steel sheets gap

The Proceedings of The Computational Mechanics Conference ◽

10.1299/jsmecmd.2013.26._2515-1_ ◽

2013 ◽

Vol 2013.26 (0) ◽

pp. _2515-1_-_2515-2_

Author(s):

Tomoya Niho ◽

Yuzo Harada ◽

Tomoyoshi Horie ◽

Shota Kariya ◽

Daisuke Yamakawa ◽

...

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Electric Current ◽

Resistance Spot Welding ◽

Spot Welding ◽

Thermal Conduction ◽

Element Analysis ◽

Resistance Spot ◽

Steel Sheets

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

Proceedings of IEEE Antennas and Propagation Society International Symposium and URSI National Radio Science Meeting ◽

10.1109/aps.1994.408240 ◽

2002 ◽

Cited By ~ 2

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

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Development of A Three-Dimensional Membrane Element for the Finite Element Analysis of Tires

Tire Science and Technology ◽

10.2346/1.2141705 ◽

1991 ◽

Vol 19 (1) ◽

pp. 23-36 ◽

Cited By ~ 4

Author(s):

K. Ishihara

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Computing Time ◽

Three Dimensional ◽

Complex Nature ◽

Element Formulation ◽

Membrane Element ◽

Element Analysis ◽

The Finite Element Analysis ◽

Modeling Strategy

Abstract A three-dimensional membrane element was developed for the finite element analysis of tires. In general, the three-dimensional finite element analysis of tires uses a lot of computing time because of the complex nature of the problem. Major sources of complexity are, for example, nonlinearities in kinematics, material properties, boundary conditions, and the multilayer structure which is inherent to the tire. One of the ways to overcome this situation can be in the modeling strategy. This paper describes an approach where the cord-rubber composite components of the tire are modeled by membrane elements. The number of nodes required in the tire model using this strategy is considerably reduced, without any loss of accuracy, compared with models in which only ordinary solid elements are used. The nonlinear finite element formulation, numerical examples, and a comparison of the results with those obtained from models using solid elements and experimental values are given in the paper.

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