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Forschung

Grundlagenforschung:

Crosspoint modification for multi-patch isogeometric analysis - PDF
Isogeometric analysis of fiber reinforced composites using Kirchhoff–Love shell elements - PDF
Computational homogenization of higher-order continua - PDF
Multidimensional coupling: A variationally consistent approach to fiber-reinforced materials - PDF
Non-linear space-time elasticity - PDF
Model development and implementation for bone growth simulations - PDF
Variational modeling of thermomechanical fracture and anisotropic frictional mortar contact problems with adhesion - PDF
Variational Phase-Field Formulation of Non-Linear Ductile Fracture - PDF
Fluid structure interaction problems - PDF
Geometrically exact beam theory - PDF

Industriekooperationen:

ZCC-CT - Spannungs- und Kräfteanalyse an einem modularen Stechwerkzeugsystem
Deutsche Bahn - Auswertung von bruchmechanischen Versuchen an Radsatzwellen zum Rissschließverhalten im Hinblick auf
Eigenspannungen - PDF
AUDI AG - Strukturmechanische Simulation und Optimierung einer E-Maschine für den vollelektrischen Antrieb
Magna Steyr - Virtuelle Methode zur thermischen Optimierung von Bremsenkomponenten
SIEMAG TECBERG - Analyse der Beladevorgänge von Schüttgütern in der Schachtfördertechnik im Bergbau inkl. Ermittlung des Verschleißverhaltens an kritischen Stellen im Fördergefäß (Skip) und Beladeanlage
SIEMAG TECBERG - Analysis of the temperature development within a brake disk - PDF
W. Pilling - Thermal and mechanical analysis of a galvanizing pot - PDF

Kooperationspartner:

Inland

Technische Universität München
Karlsruher Institut für Technologie
RWTH Aachen
Leibnitz Universität Hannover
Universität Stuttgart
Universität Ulm
Universität der Bundeswehr München

Ausland

Swansea University, Wales, Vereinigtes Königreich
Bilkent University, Ankara, Türkei
Università della Svizzera italiana, Lugano, Schweiz
Sapienza University of Rome, Italien

Projekte:

Computational space-time applications (HE 5943/27-1) - Details
Computational methods for multi-scale fracture (HE 5943/26-1) - Details
Contact mechanics for gradient materials (HE 5943/24-1) - Details
Variational Space-Time Elements (HE 5943/15-1) - Details
Multi-field modelling and simulation of fibre reinforced polymers (DI 2306/1) - Details
Isogeometric Analysis for Multifield Computational Contact Problems (HE 5943/8) - Details
Großskalige Simulation von pneumatischem und hydraulischem Bruch mittels Phasenfeldmethode (HE 5943/5): Schwerpunktprogramm "Zuverlässige Simulationstechniken in der Festkörpermechanik - Entwicklung nichtkonventioneller Diskretisierungsverfahren, mechanische und mathematische Analyse" - Details
Methods and algorithms for contact analysis (HE 5943/6) - Details
Numerical and experimental analysis of diffusion induced aging in engineering solid mixture components (WE 2525/4) - Details
Structure preserving contact formulations of thermomechanical systems (HE 5943/3) - Details
Energy consistent discretization of transient frictional contact problems (HE 5943/1) - Details
Anisotropic friction and adhesion at large strains (PAK 440) - Details

Gutachtertätigkeiten:

Forschungsgemeinschaften

DFG - Deutsche Forschungsgemeinschaft
FWF - Der Wissenschaftsfonds (Österreich)
GACR - Czech Science Foundation

Zeitschriften

Nature
Journal of Computational Physics
Communications in Nonlinear Science and Numerical Simulation
Journal of Mechanical Engineering Science
Proceedings of The Royal Society A
Journal of Adhesion

Computer Methods in Applied Mechanics and Engineering
International Journal for Numerical Methods in Engineering
International Journal of Solids and Structures
Continuum Mechanics and Thermodynamics
Computational Mechanics
Finite Elements in Analysis and Design
Acta Mechanica

SIAM Journal on Scientific Computing
Mathematical Modelling and Numerical Analysis
Mathematics and Mechanics of Solids
Mathematics and Computers in Simulation
Journal of Numerical Analysis
Journal of Applied Mathematics and Mechanics

Dissertationen:

S. Schuß: Cn-continuous mortar method for Isogeometric Analysis, OPUS Siegen, 2024, DOI
J. Schulte: Multi-field modeling and simulation of fiber reinforced polymers, KIT Scientific Publishing, Karlsruhe, 2021, DOI
M. Dittmann: Isogeometric analysis and hierarchical refinement for multi-field contact problems, KIT Scientific Publishing, Karlsruhe, 2017, DOI
M. Franke: Discretisation techniques for large deformation computational contact elastodynamics, KIT Scientific Publishing, Karlsruhe, 2014, DOI

Veröffentlichungen:

2024

C. Hesch, F. Schmidt and S. Schuß: Variational formulation and monolithic solution of computational homogenization methods, Int. J. Numer. Meth. Engng., 125(20):e7567, 2024, DOI, PDF
F. Schmidt, S. Schuß and C. Hesch: Computational homogenization of phase-field fracture, Int. J. Numer. Meth. Engng., submitted, 2024, arXiv.org

2023

C. Hesch, S. Glas and S. Schuß: Space-time rigid multi body dynamics, Multibody System Dynamics, 61:415–434, 2023, DOI, PDF
S. Schuß, S. Glas and C. Hesch: Non-linear space-time elasticity, Int. J. Numer. Meth. Engng., 124:1965-1990, 2023, DOI

2022

C. Hesch, U. Khristenko, R. Krause, A. Popp, A. Seitz, W. Wall and B. Wohlmuth: Frontiers in Mortar Methods for Isogeometric Analysis, J. Schröder and P. Wriggers (eds.), Non-standard Discretisation Methods in Solid Mechanics, Lecture Notes in Applied and Computational Mechanics 98, 2022, arXiv.org, DOI
F. Schmidt, M. Krüger and C. Hesch: Numerical homogenization of gradient materials, in Theoretical Analysis, Computations and Experiments of Multiscale Materials, Springer Book series: Advanced Structured Materials, 175:487–503, 2022
F. Schmidt, M. Krüger, M.-A. Keip and C. Hesch: Computational Homogenization of higher-order continua, Int. J. Numer. Meth. Engng., 123:2499-2529, 2022, arXiv.org, DOI, PDF

2021

S. Schuß and C. Hesch: Contact Formulation for Second Gradient Materials, Current Trends and Open Problems in Computational Mechanics, Springer-Verlag, 2499-2529, 2021, Springer
U. Khristenko, S. Schuß, M. Krüger, F. Schmidt, B. Wohlmuth and C. Hesch: Multidimensional coupling: A variationally consistent approach to fiber-reinforced material, Comput. Methods Appl. Mech. Engrg., 382:113869, 2021, arXiv.org, DOI
M. Dittmann, J. Schulte, F. Schmidt and C. Hesch: A strain-gradient formulation for fiber reinforced polymers: Hybrid phase-field model for porous-ductile fracture, Computational Mechanics, 67:1747–1768, 2021, arXiv.org, DOI

2020

M. Dittmann, F. Aldakheel, J. Schulte, F. Schmidt, M. Krüger, P. Wriggers and C. Hesch: Phase-field modeling of porous-ductile fracture in non-linear thermo-elasto-plastic solids, Comput. Methods Appl. Mech. Engrg., 361:112730, 2020, DOI
J. Schulte, M. Dittmann, S.R. Eugster, S. Hesch, T. Reinicke, F.dell'Isola and C. Hesch: Isogeometric analysis of fiber reinforced composites using Kirchhoff-Love shell elements, Comput. Methods Appl. Engrg., 362:112845, 2020, DOI
M. Dittmann, S. Schuß, B. Wohlmuth and C. Hesch: Crosspoint modification for multi-patch isogeometric analysis, Comput. Methods Appl. Engrg., 360:112768, 2020, DOI
M. Krüger, M. Dittmann, F. Aldakheel, A. Härtel, P. Wriggers and C. Hesch: Porous-ductile fracture in thermo-elasto-plastic solids with contact applications, Computational Mechanics, 65:941–966, 2020, DOI

2019

F. dell'Isola et al.: Advances in Pantographic Structures: Design, Manufacturing, Models, Experiments and Imagery Analyses, Continuum Mech. Thermodyn., 31:1231-1282, 2019, DOI
M. Dittmann, S. Schuß, B. Wohlmuth and C. Hesch: Weak Cⁿ coupling for multi-patch isogeometric analysis in solid mechanics, Int. J. Numer. Meth. Engng., 118:678-699, 2019, DOI
S. Schuß, M. Dittmann, B. Wohlmuth, S. Klinkel and C. Hesch: Multi-patch isogeometric analysis for Kirchhoff-Love shell elements, Comput. Methods Appl. Mech. Engrg., 349:91-116, 2019, DOI
M. Dittmann, M. Krüger, F. Schmidt, S. Schuß and C. Hesch: Variational modeling of thermomechanical fracture and anisotropic frictional mortar contact problems with adhesion, Computational Mechanics, 63(3):571-591, 2019, DOI, PDF

2018

M. Dittmann, F. Aldakheel, J. Schulte, P. Wriggers and C. Hesch: Variational Phase-Field Formulation of Non-Linear Ductile Fracture, Comput. Methods Appl. Mech. Engrg.,342:71-94, 2018, DOI
S. Schuß, K. Weinberg and C. Hesch: Thermomigration in SnPb solders: Material model, Mechanics of Materials, 121:31-49, 2018, DOI
P. Betsch, A. Janz and C. Hesch: A mixed variational framework for the design of energy-momentum schemes inspired by the structure of polyconvex stored energy functions, Comput. Methods Appl. Mech. Engrg., 335:660-696, 2018, DOI

2017

C. Hesch, S. Schuß, M. Dittmann, S.R. Eugster, M. Favino and R. Krause: Variational Space-Time Elements for Large-Scale Systems, Comput. Methods Appl. Mech. Engrg., 326:541-572, 2017, DOI
C. Hesch, A.J. Gil, R. Ortigosa, M. Dittmann, C. Bilgen, P. Betsch, M. Franke, A. Janz and K. Weinberg: A framework for polyconvex large strain phase-field methods to fracture, Comput. Methods Appl. Mech. Engrg., 317:649-683, 2017, DOI
K. Weinberg and C. Hesch: A high-order finite-deformation phase-field approach to fracture, Continuum Mech. Thermodyn., 29:935-945, 2017, DOI

2016

C. Hesch, S. Schuß, M. Dittmann, M. Franke and K. Weinberg: Isogeometric analysis and hierarchical refinement for higher-order phase-field models, Comput. Methods Appl. Mech. Engrg, 303:185-207, 2016, DOI
C. Hesch, M. Franke, M. Dittmann and I. Temizer: Hierarchical NURBS and a higher-order phase-field approach to fracture for finite-deformation contact problems, Comput. Methods Appl. Mech. Engrg, 301:242-258, 2016, DOI
I. Temizer and C. Hesch: Hierarchical NURBS in Frictionless Contact, Comput. Methods Appl. Mech. Engrg, 299:161-186, 2016, DOI
R. Ortigosa, A.J. Gil, J. Bonet and C. Hesch: A computational framework for polyconvex large strain elasticity for geometrically exact beam theory, Computational Mechanics, 57:277-303, 2016, DOI, PDF

2014

C. Hesch and K. Weinberg: Thermodynamically consistent algorithms for dynamic phase field models of fracture and finite deformations, Int. J. Numer. Meth. Engng, 99:906-924, 2014, DOI
S.R. Eugster, C. Hesch, P. Betsch and Ch. Glocker: Director-based beam finite elements relying on the geometrically exact beam theory formulated in skew coordinates, Int. J. Numer. Meth. Engng 97(2), 111-129, 2014, DOI
M. Dittmann, M. Franke, I. Temizer and C. Hesch: Isogeometric analysis and thermomechanical Mortar contact problems, Comput. Methods Appl. Mech. Engrg, 274:192-212, 2014, DOI
C. Hesch, A.J. Gil, A. Arranz Carreño, J. Bonet and P. Betsch: A mortar approach for Fluid-Structure Interaction problems: Immersed strategies for deformable and rigid bodies, Comput. Methods Appl. Mech. Engrg, 278:853-882, 2014, DOI

2013

C. Hesch: Dynamics of continua with interfaces, Habilitation thesis, Universität Siegen, 2013, URN
C. Hesch and P. Betsch: Continuum mechanical considerations for rigid bodies and fluid-structure interaction problems, Archive of Mechanical Engineering, 2013, DOI, PDF
M. Franke, C. Hesch and P. Betsch: An augmentation technique for large deformation frictional contact problems, Int. J. Numer. Meth. Engng, 2013, DOI, PDF

2012

C. Hesch, A.J. Gil, A. Arranz Carreño and J. Bonet: On continuum immersed techniques for fluid-structure interaction, Comput. Methods Appl. Mech. Engrg., 247-248:51-64, 2012, DOI, PDF
D. Anders, C. Hesch and K. Weinberg: Computational modeling of phase separation and coarsening in solder alloys, Int. J. Solids Struct., 49:1557-1572, 2012, DOI
C. Hesch and P. Betsch: Isogeometric analysis and domain decomposition methods, Comput. Methods Appl. Mech. Engrg. 213:104-112, 2012, DOI, PDF

2011

C. Hesch and P. Betsch: Transient three-dimensional contact problems: mortar method. Mixed methods and conserving integration, Computational Mechanics, 48:461-475, 2011, DOI, PDF
C. Hesch and P. Betsch:Transient 3d contact problems - NTS method: Mixed methods and conserving integration, Computational Mechanics, 48:437-449, 2011, DOI, PDF
C. Hesch and P. Betsch: Energy-momentum consistent algorithms for dynamic thermomechanical problems - Application to mortar domain decomposition problems,
Int. J. Numer. Meth. Engng, 86:1277 - 1302, 2011, DOI, PDF

2010

C. Hesch and P. Betsch: Transient 3d domain decomposition problems: Frame-indifferent mortar constraints and conserving integration, Int. J. Numer. Meth. Engng, 82:329 – 358, 2009, DOI, PDF
P. Betsch, C. Hesch, N. Sänger and S. Uhlar: Variational integrators and energy-momentum schemes for flexible multibody dynamics, Journal of Computational and Nonlinear Dynamics, 5, 031001, 2010, DOI

2009

C. Hesch and P. Betsch: A mortar method for energy-momentum conserving schemes in frictionless dynamic contact problems, Int. J. Numer. Meth. Engng, 77:1468 – 1500, 2009, DOI, PDF

2007

C. Hesch: Mechanische Integratoren für Kontaktvorgänge deformierbarer Körper unter großen Verzerrungen, Dissertation, Fachbereich Maschinenbau, Universität Siegen, 2007, URN
C. Hesch and P. Betsch: Energy-momentum conserving schemes for frictionless dynamic contact problems. Part I: NTS method, IUTAM Bookseries, Springer-Verlag, 3:77 – 96, 2007, Springer

2006

C. Hesch and P. Betsch: A comparison of computational methods for large deformation contact problems of flexible bodies, ZAMM, 86/10:818 – 827, 2006, DOI

Weitere Veröffentlichungen:

2019

M. Krüger and C. Hesch: Extended mortar methods for isogeometric analysis, In Proceedings of the 8th GACM Colloquium on Computational Mechanics, 259-262, 2019, DOI
J. Schulte, M. Dittmann, F. Alkdakheel and C. Hesch: Thermo–mechanical phase–field model for porous–ductile fracture, In Proceedings of the 8th GACM Colloquium on Computational Mechanics, 2019, PDF

2018

M. Dittmann, C. Hesch, J. Schulte and F. Aldakheel: Multi-field formulation of large deformation ductile fracture, Proc. Appl. Math. Mech., 2018, DOI
J. Schulte, M. Krüger, M. Dittmann and C. Hesch: Multi-field modeling of thermomechanical coupled fracture problems, Proc. Appl. Math. Mech., 2018, DOI
M. Krüger, J. Schulte, M. Dittmann and C. Hesch: Thermomechanical mortar contact problems with hierarchical refined NURBS for adhesion and anisotropic friction, Proc. Appl. Math. Mech., 2018, DOI

2017

M. Dittmann, C. Hesch, J. Schulte, F. Aldakheel and M. Franke: Multi-field modelling and simulation of large deformation ductile fracture, ECCOMAS Thematic Conference, 2017, PDF
M. Dittmann and C. Hesch: Mixed variational formulations for multi-field problems, ECCOMAS Thematic Conference, 2017, PDF
M. Franke, M. Dittmann, C. Hesch and P. Betsch: A polyconvex phase-field approach to fracture with application to finite-deformation contact problems, Proc. Appl. Math. Mech.,17, 297-298, 2017, DOI
A. Janz, P. Betsch and C. Hesch: An algorithmic stress formula for energy conserving time integration in a mixed framework for polyconvex large strain elasticity, Proc. Appl. Math. Mech., 17, 313-314, 2017, DOI
M. Schiebl, P. Betsch and C. Hesch: A temperature‐based GENERIC approach for the thermodynamically consistent integration of thermoelastic solids, Proc. Appl. Math. Mech., 17, 553-554, 2017, DOI

2016

S. Schuß, C. Hesch and K. Weinberg: Thermomigration in Sn-Pb solder bumps: Modelling and simulation, Proc. Appl. Math. Mech., 16, 483-484, 2016, DOI
A. Janz, P. Betsch and C. Hesch: Structure-preserving space- time discretization of nonlinear structural dynamics based on a mixed variational formulation, Proc. Appl. Math. Mech., 16, 205-206, 2016, DOI
M. Schiebl, P. Betsch and C. Hesch: Thermodynamically consistent integration of coupled thermoelastic systems, Proc. Appl. Math. Mech., 16, 235-236, 2016, DOI
C. Bilgen, C. Hesch and K. Weinberg: A polyconvex strain energy split for a high-order phase-field approach to fracture, Proc. Appl. Math. Mech., 16, 427-428, 2016, DOI
M. Franke, C. Hesch and M. Dittmann: Phase-field approach to fracture for finite-deformation contact poblems, Proc. Appl. Math. Mech., 16, 123-124, 2016,DOI
A. Janz, P. Betsch and C. Hesch: Mixed integrators for structure-preserving simulations in nonlinear structural dynamics, ECCOMAS Thematic Conference, 2016, PDF
M. Franke, C. Hesch and M. Dittmann: A higher order phase field approach to fracture for finite-deformation contact problems, ECCOMAS Thematic Conference, 2016, PDF

2012

C. Hesch and P. Betsch: Application of domain decomposition methods to isogeometric analysis, Proc. Appl. Math. Mech. 12, 179-180, 2012, DOI, PDF
C. Hesch and P. Betsch: An object oriented framework: From flexible multibody dynamics to fluid-structure interaction, IMSD, Stuttgart, 29.05.-01.06.2012, PDF
M. Franke, C. Hesch and P. Betsch: An energy-momentum scheme for frictional contact in flexible multibody dynamics, IMSD, Stuttgart, 29.05.-01.06.2012, PDF
P. Betsch, N. Sänger and C. Hesch: Geometrically exact structural models for large deformation problems in flexible multibody dynamics, IASS-IACM 2012, Sarajevo, 2-4.04.2012, PDF

2011

M. Franke, C. Hesch and P. Betsch: Energy-momentum consistent integration of frictional multibody contact problems, In Proccedings of the ECCOMAS Thematic Conference, Brussels, 4-7.07.2011, PDF
N. Sänger, P. Betsch and C. Hesch: A computational framework for large deformation problems in flexible multibody dynamics, In Proccedings of the ECCOMAS Thematic Conference, Brussels, 4 – 7 July 2011, PDF
M. Franke, C. Hesch and P. Betsch: Consistent time integration for transient three-dimensional contact using the NTS-method, Proc. Appl. Math. Mech, 11:209 – 210, 2011, DOI, PDF

2010

M. Franke, P. Betsch and C. Hesch: Structure preserving integrators for non-linear structural dynamics, Proc. Appl. Math. Mech, 10:153 – 154, 2010, DOI, PDF

2009

C. Hesch and P. Betsch: 3D domain decomposition problems, consistent in time and space, Proc. Appl. Math. Mech, 9:113 – 114, 2009, DOI, PDF

2008

C. Hesch and P. Betsch: An energy and momentum conserving scheme for mortar contact methods, In Proccedings of the 4th Asian Conference on Multibody Dynamics, Jeju, 20 – 23 August 2008, PDF
C. Hesch and P. Betsch: Mortar methods for large deformation contact problems, Proc. Appl. Math. Mech, 8:10119 – 10120, 2008, DOI, PDF

2007

C. Hesch and P. Betsch: Energy-momentum schemes for large deformation contact problems, Proc. Appl. Math. Mech, 7:4040005 – 4040006, 2007, DOI, PDF
C. Hesch and P. Betsch: On the energy-momentum conserving integration of large deformation contact problems, In Proccedings of the ECCOMAS Thematic Conference, Mailand, 25-28.06.2007, PDF

2006

C. Hesch and P. Betsch: Application of the discrete null space method to domain decomposition and large deformation contact, Proc. Appl. Math. Mech, 6:93 – 94, 2006, DOI, PDF

2005

C. Hesch and P. Betsch: Ein Vergleich numerischer Methoden zur Beschreibung von Kontaktvorgängen, Proc. Appl. Math. Mech, 5:409 – 410, 2005, DOI, PDF

Aktualisiert via XIMS am 4.12.2024 von H. Schmitz