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Patrick Erbts - Partitioned solution strategies for electro-thermo-mechanical problems applied to the field-assisted sintering technology

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Patrick Erbts

Partitioned solution strategies for electro-thermo-mechanical problems applied to the field-assisted sintering technology

Reihe: Mechanik/Bruchmechanik

Band 345 2016

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Bibliography S. 186-204

„… stable fractional step method for non-linear coupled thermomechanical problems. International Journal for …” „… three-dimensional problems of the J2 flow theory with non-linear isotropic hardening. International Journal for …” „… . Heißerer. High-order finite elements for material and geometric nonlinear finite strain problems. PhD thesis …”

Solution of coupled problems S. 79-144

„… nonlinear and coupled problem, described by nf discrete systems of 80 4. Solution of coupled problems …” „… consideration, where A defines a nonlinear operator. For multiphysical problems, this operator represents …” „… 79 CHAPTER4 Solution of coupled problems This chapter focuses on an in-depth discussion on solving …”

Titelei/Inhaltsverzeichnis

„… / Bruchmechanik Reihe 18 Partitioned solution strategies for electrothermo-mechanical problems applied to the …” „… field-assisted sintering technology Partitioned solution strategies for electro-thermo-mechanical problems …” „… VDI Partitioned solution strategies for electrothermo-mechanical problems applied to the …”

Introduction S. 1-7

„… so-called adiabatic split for problems of nonlinear thermoelasticity. In this split, the mechanical phase at …” „… problems often requires a solution of coupled multi-field systems. Nowadays, commercial solvers can be used …” „… to carry out coupled simulations for a large number of different problems. However, these solvers are …”

Numerical methods S. 45-78

„… and electrical field is presented, followed by a linearization of the nonlinear terms. After that, the …” „… typically nonlinear, a linearization is required for the further numerical solution process. To outline the …” „… concept of linearization, an arbitrary nonlinear equation G( a) is considered, where the variable a is …”

Conclusions and outlook S. 171-173

„… approaches are applied to solve multi-physically coupled problems. The intended purpose is to develop a …” „… or quasi-Newton methods. In this context, strongly coupled nonlinear thermoelasticity is solved by …” „… formulation) can lead to considerable savings of computation time. This can be of interest for problems that …”

Governing equations S. 8-44

„… engineering problems require a mathematical formulation of the process and a substantiated background in the …” „… configuration. As shown in Figure 2.1, the point P is mapped by a nonlinear invertible mapping function χ( X …” „… to describe the nonlinear mechanical field, since a Lagrangian formulation of the coupled problem …”

Numerical examples S. 145-170

„… applied to multiphysical problems with nf > 2 fields. The general purpose is to find the best suited …” „… to a nonlinear, thermo-elastic problem with a heat source resulting from an electric current. 5.1.1 …” „… geometrically nonlinear. The material model 146 5. Numerical examples used here coincides exactly with the …”

doi.org/10.51202/9783186345189

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wt Werkstattstechnik online

Alle Ausgaben: wt Werkstattstechnik online

wt Jahrgang 91 (2001) Heft 6 ISSN Online: 1436-4980

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C. Runde, M. Mersinger, E. Reucher Operations Research versus Simulation S. 345-348

„… Computerleistung lassen sich mittlerweile auch große Probleme durch exakte Verfahren lö-sen. In dem vorliegenden …” „… mit etwa 500 Restriktionen umfassenden Pro-blems verwendet. Auf der anderen Seite hat sich die …” „… Optimierungsver-fahren zur Verfügung, konnten aber für komplexe Probleme nicht angewendet werden. Die Forschung im …”

doi.org/10.37544/1436-4980-2001-6

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VDI Wissensforum GmbH (Hrsg.)

SIMVEC 2022

Reihe: VDI-Berichte

Band 2407 2022

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F. Chinesta, R. Magg Empowering car design, maintenance and operation from advanced model order reduction and AI technologies S. 523-534

„… nonlinear and coupled, are discretized to offer an approximate, but accurate enough, solution. In general …” „… ) the difficulties of addressing nonlinear models, needing advanced strategies; and (iii) its intrusive …” „… above. Thus, non-intrusive PGD procedures were proposed, that solve parametrized problems from a number …”

doi.org/10.51202/9783181024072

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Bauingenieur

Alle Ausgaben: Bauingenieur

Bauingenieur Jahrgang 91 (2016) Heft 02 ISSN Online: 0005-6650

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Peter Wriggers Modelle in der Strukturmechanik/Models in Structural Mechanics S. 41-45

„… Bauwerke verherzusagen. Die Entwicklung der Modelle für strukturmechanische Probleme hat eine lange …” „… . Auflage, National Technical Information Service, Springfield, 1984. [5] Crisfield, M. A.: Non-linear …” „… . 118–128. [8] Gruttmann, F.; Sauer, R.; Wagner, W.: A geometrical non-linear eccentric 3D-beam element …”

doi.org/10.37544/0005-6650-2016-02

Marcel König - Partitioned Solution Strategies for Strongly-Coupled Fluid-Structure Interaction Problems in Maritime Applications

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Marcel König

Partitioned Solution Strategies for Strongly-Coupled Fluid-Structure Interaction Problems in Maritime Applications

Reihe: Mechanik/Bruchmechanik

Band 351 2018

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Bibliography S. 252-266

„… material and geometric nonlinear finite strain problems”. PhD thesis. Munich, Germany: Technische …” „… . Başar and D. Weichert. Nonlinear continuum mechanics of solids: Fundamental mathematical and physical …” „… concepts. Berlin, Germany et al.: Springer, 2000. [9] K.-J. Bathe and G. A. Ledezma. “Benchmark problems …”

Titelei/Inhaltsverzeichnis

„… Partitioned Solution Strategies for Strongly-Coupled Fluid-Structure Interaction Problems in Maritime …” „… Applications Partitioned Solution Strategies for Strongly-Coupled Fluid-Structure Interaction Problems in …” „… Fluid-Structure Interaction Problems in Maritime Applications M.Sc. Marcel König, Hamburg Mechanik …”

Structural Problems S. 25-41

„… 3 Structural Problems In this chapter, we consider the structural subproblem of the coupled problem …” „… ΩX and the current configuration Ωx as depicted in Figure 3.1. By means of the nonlinear bijective …” „… current configuration Ωx. Adopting 25 3 Structural Problems ΩxΩX ϕ X x Figure 3.1: Reference configuration …”

Coupled Problems S. 42-97

„… 4 Coupled Problems Having reviewed the fluid and structural equations in Chapter 2 and 3, we will …” „… . Of course, the interaction of two fields as in the case of FSI problems will be of particular …” „… application of the predictor schemes also in more complex problems. In order to transfer the field quantities …”

Advanced Applications S. 218-240

„… sophisticated problems. As the title of this work suggests, the problems are adopted from the maritime industry …” „… problems. 7.1 Floating Offshore Wind Turbine In recent years, offshore wind energy has become an …” „… the two fluid problems is introduced to integrate the traction from the fluid problems. It is …”

Fluid Problems S. 5-24

„… 2 Fluid Problems In this chapter, we discuss the governing fluid equations and present two …” „… restraints of the flow being inviscid and irrotational. In many problems in the maritime sector, this …” „… solution of potential problems. In contrast to the FVM, where the whole fluid domain needs to be …”

Benchmark Problems S. 158-217

„… 6 Benchmark Problems In this chapter, we present several numerical examples in order to verify and …” „… between the possibly non-conforming subfield discretizations. All problems are solved using our versatile …” „… 16×1 geometrically nonlinear biquadratic plane-stress elements, available in the in-house FEM code …”

doi.org/10.51202/9783186351180

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