Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Journal of Materials Engineering and Performance
Erschienen in: Journal of Materials Engineering and Performance 4/2016

23.02.2016

Parametric Modeling of Welding Processes Using Numerical-Analytical Basis Functions and Equivalent Source Distributions

verfasst von: S. G. Lambrakos

Erschienen in: Journal of Materials Engineering and Performance | Ausgabe 4/2016

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

A general methodology for inverse thermal analysis of steady-state energy deposition in plate structures, typically welds, is extended with respect to its formulation. This methodology is in terms of numerical-analytical basis functions, which provide parametric representations of weld-temperature histories that can be adopted as input data to various types of computational procedures, such as those for prediction of solid-state phase transformations and mechanical response. The extension of the methodology presented here concerns construction of numerical-analytical basis functions and their associated parameterizations, which permit optimal and convenient parameter optimization with respect to different types of weld-workpiece boundary conditions, energy source characteristics, and experimental measurements adoptable as weld-temperature history constraints. Prototype inverse thermal analyses of a steel weld are presented that provide proof of concept for inverse thermal analysis using these basis functions.
Vorheriger Artikel Flow Behavior and Constitutive Equation of Ti-6.5Al-2Sn-4Zr-4Mo-1W-0.2Si Titanium Alloy
Nächster Artikel Physical Simulation of Hot Deformation and Microstructural Evolution of Fe-0.05C-0.13P Steel

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren
Anhänge
Nur mit Berechtigung zugänglich
Literatur
1.
A. Tarantola, Inverse Problem Theory and Methods for Model Parameter Estimation, SIAM, Philadelphia, PA, 2005CrossRef
2.
C.R. Vogel, Computational Methods for Inverse Problems, SIAM, Philadelphia, PA, 2002CrossRef
3.
A.G. Ramm, Inverse Problems, Mathematical and Analytical Techniques with Applications to Engineering, Springer Science, New York, 2005
4.
J.V. Beck and K.J. Arnold, Parameter Estimation in Engineering and Science, Wiley Interscience, New York, 1977
5.
J.V. Beck, B. Blackwell, and C.R. St. Clair, Inverse Heat Conduction: IlI-Posed Problems, Wiley Interscience, New York, 1995
6.
O.M. Alifanov and A.P. Tryanin, Determination of the Coefficient of Internal Heat Exchange and the Effective Thermal Conductivity of II, Porous Solid on the Basis of a Nonstationary Experiment, J. Eng. Phys., 1985, 8(3), p 356–365CrossRef
7.
E.A. Artyukhin, Iterative Algorithms for Estimating Temperature Dependent Thermophysical Characteristics, 1st International Conference on Inverse Problems in Engineering, Proceedings, Palm Coast, FI, 1993, p 101-1011
8.
L. Dantas and H.R.B. Orlande, A Function Estimation Approach for Determining Temperature-Dependent Thermophysical Properties, Inverse Probl. Eng., 1996, 3, p 261–279CrossRef
9.
T.J. Martin, G.S. Dulikravich, Non-iterative Inverse Determination of Temperature-Dependent Heat Conductivities, HTD-Vol 340 ASME National Heat Transfer Conference, G.S. Dulikravich, K. Woodburry, Ed., Vol 2, 1997, p 141-150
10.
M.M. Mejias, H.R.B. Orlande, and M.N. Ozisik, Design of Optimum Experiments for the Estimation of Thermal Conductivity Components of Orthotropic Solids, Hybrid Methods Eng., 1999, 1, p 37–53
11.
A.J. Silva Neto, M.N. Ozisik, An Inverse Analysis of Simultaneously Estimating Phase Function, Albedo and Optical Thickness, ASME/AIChe Conference, San Diego, CA, August 9-12, 1992
12.
J.C. Bokar and M.N. Ozisik, An Inverse Problem for the Estimation of Radiation Temperature Source Term in a Sphere, Inverse Probl. Eng., 1995, 1, p 191–205CrossRef
13.
N. Ruperti, Jr., M. Raynaud, and J.F. Sacadura, A Method for the Solution of the Coupled Inverse Heat Conduction-Radiation Problems, ASME J. Heat Transf., 1996, 118, p 10–17CrossRef
14.
C.H. Huang and M.N. Ozisik, Inverse Problem of Determining Unknown Wall Heat Flux in Laminar Flow Through a Parallel Plate Duct, Numer. Heat Transf. Part A, 1992, 21, p 55–70CrossRef
15.
H.A. Machado and H.R.B. Orlande, Inverse Analysis of Estimating the Timewise and Spacewise Variation of the Wall Heat Flux in a Parallel Plate Channel, Int. J. Numer. Meth. Heat Fluid Flow, 1997, 7, p 696–710CrossRef
16.
J.C. Bokar and M.N. Ozisik, An Inverse Analysis for Estimating Time Varying Inlet Temperature in Laminar Flow Inside a Parallel Plate Duct, Int. J. Heat Mass Transf., 1995, 38, p 39–45CrossRef
17.
H.A. Machado, H.R.B Orlande, Estimation of the Timewise and Spacewise Variation of the Wall Heat Flux to a Non-Newtonian Fluid in a Parallel Plate Channel, International Symposium on Transient Convective Heat Transfer, Proceedings, J. Padet, Ed., Turkey, 1996, p 587-596
18.
H.A. Machado and H.R.B. Orlande, Inverse Problem of Estimating the Heat Flux to a Non-Newtonian Fluid in a Parallel Plate Channel, RBCM J. Braz. Soc. Mech. Sci., 1998, 2, p 51–61
19.
C.H. Huang, M.N. Ozisik, and B. Sawaf, Conjugate Gradient Method for Determining Unknown Contact Conductance During Metal Casting, Int. J. Heat Mass Transf., 1992, 35, p 1779–1789CrossRef
20.
M.N. Ozisik, H.R.B. OrIande, L.G. Hector, and P.N. Anyalebechi, Inverse Problem of Estimating Interface Conductance During Solidification via Conjugate Gradient Method, J. Mater. Proc. Manuf. Sci., 1992, 1, p 213–225
21.
O.M. Alifanov, Inverse Heat Transfer Problems, Springer, New York, 1994CrossRef
22.
H.R.B. Orlande and M.N. Ozisik, Determination of the Reaction Function in a Reaction-Diffusion Parabolic Problem, J. Heat Transf., 1994, 116, p 1041–1044CrossRef
23.
J.S. Brium, D. Delaunay, B. Gamier, and Y. Jamy, Implementation of an Inverse Method for Identification of Reticulation Kinetics from Temperature Measurements on a Thick Sample, Int. J. Heat Mass Transf., 1993, 36, p 4039–4097CrossRef
24.
C.H. Huang, C.C. Tsai, A Shape Identification Problem in Time Dependent Irregular Boundary Configurations, HTD. Vol 340 ASME National Heat Transfer Conference, G.S. Dulikravich, K. Woodburry, Ed., Vol 2, 1997, p 41-48
25.
C.H. Huang and C.C. Chiang, Shape Identification Problem in Estimating Geometry of Multiple Cavities, AIAA J. Therm. Heat Transf., 1998, 12, p 270–277CrossRef
26.
G.S. Dulikravich and T.J. Manin, Inverse Shape and Boundary Condition Problems and Optimization in Heat Conduction, Chapter 10 in Advances in Numerical Heat Transfer, Vol 1, W.J. Minkowycz and E.M. Sparrow, Ed., Taylor and Francis, Washington, 1996, p 381–426
27.
N. Zabaras and T.H. Ngugcn, Control of the Freezing Interface Morphology in Solidification Processes in the Presence of Natural Convection, Int. J. Numer. Methods Eng., 1995, 38, p 1555–1578CrossRef
28.
N. Zabaras and G. Yang, A Functional Optimization Formulation and Implementation of an Inverse Natural Convection Problem, Comput. Methods Appl. Mech. Eng., 1997, 144, p 245–274CrossRef
29.
G. Yang and N. Zabaras, An Adjoint Method for the Inverse Design of Solidification Processes with Natural Convection, Int. J. Num Meth. Eng., 1998, 42, p 1121–1144CrossRef
30.
L. Bailleul, D. Delaunay, Y. Jamy, Optimal Thermal Processing of Composite Materials: An Inverse Algorithm and Its Experimental Validation, 11th International Heat Transfer Conference, Vol 5, Kyngju, Korea, 1998, p 87-92
31.
Y. Jamy, D. Delaunay, J.S. Brizaut, Inverse Analysis of the Elastomer Cure Control of the Vulcanization Degree, 1st International Conference on Inverse Problems in Engineering, Proceedings, Palm Coast, FI, 1993, p 291-298
32.
M.N. Ozisik and H.R.B. Orlande, Inverse Heat Transfer, Fundamentals and Applications, Taylor and Francis, New York, 2000
33.
K. Kurpisz and A.J. Nowak, Inverse Thermal Problems, Computational Mechanics Publications, Boston, 1995
34.
O.M. Alifanov, Inverse Heat Transfer Problems, Springer, Berlin, 1994CrossRef
35.
J.V. Beck, B. Blackwell, and C.R. St. Clair, Inverse Heat Conduction: Ill-Posed Problems, Wiley Interscience, New York, 1985
36.
J.V. Beck, Inverse Problems in Heat Transfer with Application to Solidification and Welding, Modeling of Casting, Welding and Advanced Solidification Processes, V.M. Rappaz, M.R. Ozgu, and K.W. Mahin, Ed., The Minerals, Metals and Materials Society, Warrendale, 1991, p 427–437
37.
J.V. Beck, Inverse Problems in Heat Transfer, Mathematics of Heat Transfer, G.E. Tupholme and A.S. Wood, Ed., Clarendon Press, Oxford, 1998, p 13–24
38.
M.N. Ozisik, Heat Conduction. Chapter 14, Wiley, New York, 1994
39.
M.N. Ozisik, Boundary Value Problems of Heat Conduction, Dover, New York, 1989
40.
O.M. Alifanov, Determination of Heat Loads from a Solution of the Nonlinear Inverse Problem, High Temp., 1977, 15(3), p 498–504
41.
A.N. Tikhonov, Inverse Problems in Heat Conduction, J. Eng. Phys., 1975, 29(1), p 816–820CrossRef
42.
O.M. Alifanov, Solution of an Inverse Problem of Heat-Conduction by Iterative Methods, J. Eng. Phys., 1974, 26(4), p 471–476CrossRef
43.
O.M. Alifanov and N.Y. Kerov, Determination of External Thermal Load Parameters by Solving the Two-Dimensional Inverse Heat-Conduction Problem, J. Eng. Phys., 1981, 41(4), p 1049–1053CrossRef
44.
O.M. Alifanov and V.V. Miklhailov, Solution of the Nonlinear Inverse Thermal Conductivity Problem by the Iteration Method, J. Eng. Phys., 1978, 35(6), p 1501–1506CrossRef
45.
O.M. Alifanov and V.Y. Mikhailov, Determining Thermal Loads from the Data of Temperature Measurements in a Solid, High Temp., 1983, 21(5), p 724–730
46.
O.M. Alifanov and V.Y. Mikhailov, Solution of the Overdetermined Inverse Problem of Thermal Conductivity Involving Inaccurate Data, High Temp., 1985, 23(1), p 112–117
47.
O.M. Alifanov and A. Rumyantsev, Regularizing Gradient Algorithms for Inverse Thermal-Conduction Problems, J. Eng. Phys., 1980, 39(2), p 858–861
48.
O.M. Alifanov, E. Artyukhin, and A. Rumyantsev, Extreme Methods for Solving Ill-Posed Problems with Applications to Inverse Heat Transfer Problems, Begell House, New York, 1995
49.
D.A. Murio, The Modification Method and the Numerical Solution of an Inverse Heat Conduction Problem, SIAM J. Sci. Stat. Comput., 1981, 2, p 17–34CrossRef
50.
E.M. Sparrow, A. Haji-Sheikh, and T.S. Lundgren, The Inverse Problem in Transient Heat Conduction, J. Appl. Mech., 1964, 86E, p 369–375CrossRef
51.
M. Imber and J. Khan, Prediction of Transient Temperature Distributions with Embedded Thermocouples, AIAA J., 1972, 10, p 784–789CrossRef
52.
M. Imber, Two-Dimensional Inverse Conduction Problem, Further Observations, AIAA J., 1975, 13, p 114–115CrossRef
53.
K.C. Woo and L.C. Chow, Inverse Heat Conduction by Direct Inverse Laplace Transform, Numer. Heat Transf., 1981, 4, p 499–504
54.
C.F. Weber, Analysis and Solution of the Ill-Posed Inverse Heat Conduction Problem, Int. J. Heat Mass Transf., 1981, 24, p 1783–1792CrossRef
55.
J.V. Beck, Nonlinear Estimation Applied to the Nonlinear Inverse Heat Conduction Problem, Int. J. Heat Mass Transf., 1970, 13, p 703–716CrossRef
56.
N. D’Souza, Numerical Solution of One-Dimensional Inverse Transient Heat Conduction by Finite Difference Method, ASME Paper No. 75WAlHT-81, 1975
57.
L. Garifo, V.E. Schrock, and E. Spedicato, On the Solution of the Inverse Heat Conduction Problem by Finite Differences, Energia Nucl., 1975, 22, p 452–464
58.
B.R. Bass and L.J. Ott, A Finite Element Formulation of the Two-Dimensional Nonlinear Inverse Heat Conduction Problem, Adv. Comput. Technol., 1980, 2, p 238–248
59.
D.A. Murio, The Mollification Method and the Numerical Solution of the Inverse Heat Conduction Problem by Finite Difference, Comput. Math Appl., 1896, 17(1385), p 1989
60.
Y. Jarny, M.N. Ozisik, and J.P. Bardon, A General Optimization Method Using Adjoint Equation for Solving Multidimensional inverse Heat Conduction, Int. J. Heat Mass Transf., 1991, 34, p 2911–2929CrossRef
61.
H.Y. Li and M.N. Ozisik, Identification of the Temperature Profile in an Absorbing, Emitting, and Isotropically Scattering Medium by Inverse Analysis, J. Heat Transf., 1992, 114, p 1060–1063CrossRef
62.
C.H. Ho and M.N. Ozisik, An Inverse Radiation Problem, Int. J. Heat Mass Transf., 1989, 32, p 335–341CrossRef
63.
B.G. Abnlmovich and V.S. Trofunov, Integral Form of the Inverse Heat Conduction Problem for a Hollow Cylinder, High Temp. (USSR), 1979, 17, p 552–554
64.
C.H. Ho and M.N. Ozisik, Inverse Radiation Problem in Inhomogeneous Media, J Quant. Spectrosc. Radiat. Transf., 1988, 40, p 553–560CrossRef
65.
H.R.B. Orlande, M.N. Ozisik, Inverse Problems Computations in Heat and Mass Transfer, International Conf. on Comput. Heat and Mass Transfer, Keynote lecture, North Cyprus, April, 1999
66.
E.A. Artyukhin and A.V. Nenarokomov, Coefficient Inverse Heat Conduction Problem, J. Eng. Phys., 1988, 53, p 1085–1090CrossRef
67.
O.M. Alifanov and M.Y. Klibanov, Uniqueness Conditions and Method of Solution of the Coefficient Inverse Problem of Thermal Conductivity, J. Eng. Phys., 1985, 48(6), p 730–735CrossRef
68.
E.A. Artyukhin, Reconstruction of the Thermal Conductivity Coefficient from the Solution of the Nonlinear Inverse Problem, J. Eng. Phys., 1981, 41(4), p 1054–1058CrossRef
69.
J.V. Beck, Calculation of Surface Heat Flux from an Internal Temperature History, ASME Paper 61-HT-46, 1962
70.
J.V. Beck, Surface Heat Flux Determination Using an Integral Method, Nucl. Eng. Des., 1968, 7, p 170–178CrossRef
71.
A.M. Osman, K.J. Dowding, and J.V. Beck, Numerical Solution of the General Two-dimensional Inverse Heat Conduction Problem, ASME J. Heat Transf., 1997, 119, p 38–44CrossRef
72.
C.J. Chen, D.M. Thomsen, On Determination of Transient Surface Temperature and Heat Flux by Imbedded Thermocouple in a Hollow Cylinder, Tech. Rept., Rock Island Arsenal, Rock Island, IU, March 1974
73.
H.Y. Li and M.N. Ozisik, Inverse Radiation Problem for Simultaneous Estimation of Temperature Profile and Surface Reflectivity, J. Thermophys. Heat Transf., 1993, 7, p 88–93CrossRef
74.
H.Y. Li and M.N. Ozisik, Estimation of the Radiation Source Term with a Conjugate-Gradient Method of Inverse Analysis, J. Quant. Spectrosc. Radiat. Transf., 1992, 48, p 237–244CrossRef
75.
H.R.B. Orlande and M.N. Ozisik, Inverse Problem of Estimating Interface Conductance Between Periodically Conducting Surfaces, J. Thermophys. Heat Transf., 1993, 7, p 319–325CrossRef
76.
J.V. Beck, Criteria for Comparison of Methods of Solution of the Inverse Heat Conduction Problems, Nucl. Eng. Des., 1979, 53, p 11–22CrossRef
77.
D. Lesnic, I. Elliot, and O.B. Ingham, Application of the Boundary Element Method to Inverse Heat Conduction Problems, Int. J. Heat Mass Transf., 1996, 39, p 1503–1517CrossRef
78.
T.J. Martin and G.S. Dulikravich, Inverse Determination of Steady Convective Local Heat Transfer Coefficients, ASME J. Heat Transf., 1998, 120, p 328–334CrossRef
79.
T.J. Martin and G.S. Dulikravich, Inverse Determination of Boundary Conditions in Steady Heat Conduction with Heat Generation, ASME J. Heat Transf., 1996, 118, p 546–554CrossRef
80.
C.H. Huang and M.N. Ozisik, Optimal Regularization Method to Determine the Strength of a Plane Surface Heat Source, Int. J. Heat Fluid Flow, 1991, 12, p 173–178CrossRef
81.
S.G. Lambrakos and S.G. Michopoulos, Algorithms for Inverse Analysis of Heat Deposition Processes, Mathematical Modelling of Weld Phenomena, Vol 8, Verlag der Technischen Universite Graz, Graz, 2007, p 847
82.
S.G. Lambrakos and J.O. Milewski, Analysis of Welding and Heat Deposition Processes using an Inverse-Problem Approach, Mathematical Modelling of Weld Phenomena, Vol 7, Verlag der Technischen Universite Graz, Graz, 2005, p 1025–1055
83.
E.A. Metzbower, D.W. Moon, C.R. Feng, S.G. Lambrakos, and R.J. Wong, Modelling of HSLA-65 GMAW Welds, Mathematical Modelling of Weld Phenomena, Vol 7, Verlag der Technischen Universite Graz, Graz, 2005, p 327–339
84.
S.G. Lambrakos, Inverse Thermal Analysis of 304L Stainless Steel Laser Welds, J. Mater. Eng. Perform., 2013, 22(8), p 2141
85.
86.
S.G. Lambrakos, Inverse Thermal Analysis of Welds Using Multiple Constraints and Relaxed Parameter Optimization, J. Mater. Eng. Perform., August 2015, 24(8), p 2925–2936CrossRef
87.
88.
S.G. Lambrakos, A. Shabaev, Temperature Histories of Ti-6Al-4 V Pulsed-Mode Laser Welds Calculated Using Multiple Constraints, Naval Research Laboratory Memorandum Report, Naval Research Laboratory, Washington, DC, NRL/MR/6390-15-9621, August 12, 2015
89.
E.W. Reutzel, S.M. Kelly, R.P. Martukanitz, M.M. Bugarewicz, P. Michaleris, Laser-GMA Hybrid Welding: Process Monitoring and Thermal Modeling, Trends in Welding Research, Proceedings of the 7th International Conference, S.A. David, T. DebRoy, J.C. Lippold, H.B. Smartt, J.M. Vitek, Eds., ASM International, 2006, p 143-148
90.
J.G. Michopoulos, S.G. Lambrakos, On the Fundamental Tautology of Validating Data-Driven Models and Simulations, Simulation of Multiphysics Multiscale Systems, International Conference on Computational Science, Vol 2, 2005, p 738-745
91.
D. Rosenthal, The Theory of Moving Sources of Heat and Its Application to Metal Treatments, Trans ASME, 1946, 68, p 849–866
92.
J. Goldak, A. Chakravarti, and M. Bibby, A New Finite Element Model for Welding Heat Source, Metall. Trans. B, 1984, 15, p 299–305CrossRef
93.
O. Grong, Materials Modelling Series, Metallurgical Modelling of Welding, Chapter 2, 2nd ed., H.K.D.H. Bhadeshia, Ed., The Institute of Materials, London, 1997, p 1–115
94.
R.O. Myhr and O. Grong, Dimensionless Maps for Heat Flow Analyses in Fusion Welding, Acta Metall. Mater., 1990, 38, p 449–460CrossRef
95.
R.C. Reed and H.K.D.H. Bhadeshia, A Simple Model For Multipass Welds, Acta Metall. Mater., 1994, 42(11), p 3663–3678CrossRef
96.
V.A. Karkhin, P.N. Homich, and V.G. Michailov, Models for Volume Heat Sources and Functional-Analytic Technique for Calculating the Temperature Fields in Butt Welding, Mathematical Modelling of Weld Phenomena, Vol 8, Verlag der Technischen Universite Graz, Graz, 2007, p 847
97.
A.A. Deshpande, A. Short, W. Sun, D.G. McCartney, L. Xu, and T.H. Hyde, Finite-Element Analysis of Experimentally Identified Parametric Envelopes for Stable Kethole Plasma Arc Welding of a Titanium Alloy, J. Strain Anal. Eng. Des., 2012, 47(5), p 266–275CrossRef
98.
I.S. Leoveanu, G. Zgura, and D. Birsan, Modeling the Heat and Fluid Flow in the Welded Pool, Bull. Transsilv. Univ. Brasov, 2007, 3, p 363–368 (ISSN 1223-9631)
99.
I.S. Leoveanu and G. Zgura, Modelling the Heat and Fluid Flow in the Welded Pool from High Power Arc Sources, Materials Science Forum, Vol 580-582, C. Lee, J.-B. Lee, D.-H. Park, and S.-J. Na, Ed., Trans Tech Publications, Dürnten, 2008, p 443–446
100.
R.W. Farebrother, Linear-Least-Square Computations, Marcel Dekker, New York, 1988
101.
Y.B. Bard, Nonlinear Parameter Estimation, Academic Press, New York, 1974
102.
S.W. Smith, The Scientist and Engineer’s Guide to Digital Signal Processing, California Technical Publishing, San Diego, CA, 1997
103.
H.S. Carslaw and J.C. Jaegar, Conduction of Heat in Solids, 2nd ed., Clarendon Press, Oxford, 1959, p 374
104.
S.V. Patankar, Numerical Heat Transfer and Fluid Flow, Series in Computational Methods in Mechanics and Thermal Sciences, Hemisphere Publishing Corporation, London, 1980
105.
W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery, Numerical Recipes in Fortran 77, The Art of Scientific Computing, Vol 1, 2nd ed., Fortran Numerical Recipes Cambridge University Press, New York, 1997
106.
107.
B. Smith, P. Bjorstad, and W. Gropp, Domain Decomposition, Parallel Multilevel Methods for Elliptic Partial Differential Equations, Cambridge University Press, Cambridge, 2004
108.
A. Quarteroni and A. Valli, Domain Decomposition Methods for Partial Differential Equations, Numerical Mathematics and Scientific Computation, Oxford University Press, Oxford, 1999
109.
A. Toselli and O. Widlund, Domain Decomposition Methods-Algorithms and Theory, Springer Series in Computational Mathematics Springer, New York, 2005CrossRef
Metadaten
Titel
Parametric Modeling of Welding Processes Using Numerical-Analytical Basis Functions and Equivalent Source Distributions
verfasst von
S. G. Lambrakos
Publikationsdatum
23.02.2016
Verlag
Springer US
Erschienen in
Journal of Materials Engineering and Performance / Ausgabe 4/2016
Print ISSN: 1059-9495
Elektronische ISSN: 1544-1024
DOI
https://doi.org/10.1007/s11665-016-1970-2

Weitere Artikel der Ausgabe 4/2016

Journal of Materials Engineering and Performance 4/2016 Zur Ausgabe

OriginalPaper

Effect of Film Formation Potential on Passive Behavior of Ultra-Fine-Grained 1050 Al Alloy Fabricated via ARB Process

OriginalPaper

Optimization of a Three-Component Green Corrosion Inhibitor Mixture for Using in Cooling Water by Experimental Design

OriginalPaper

AC Impedance Behavior of LaNi3.55Mn0.4Al0.3Co0.6Fe0.15 Hydrogen-Storage Alloy: Effect of Surface Area

OriginalPaper

Formation of Microcracks During Micro-Arc Oxidation in a Phytic Acid-Containing Solution on Two-Phase AZ91HP

OriginalPaper

Controllable Low-Temperature Hydrothermal Synthesis and Gas-Sensing Investigation of Crystalline SnO2 Nanoparticles

OriginalPaper

Increasing Weldability of Service-Aged Reformer Tubes by Partial Solution Annealing

Premium Partner

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen. 

    Zur Marktübersicht
    Bildnachweise