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Forschung

Grundlagenforschung:

  • Model development and implementation for bone growth simulations - PDF
  • Variational modeling of thermomechanical fracture and anisotropic frictional mortar contact problems with adhesion - PDF
  • Application of space-time elements to an extended Cahn-Hilliard phase field model - PDF
  • Variational Phase-Field Formulation of Non-Linear Ductile Fracture - PDF
  • Variational Space-Time Elements for Large-Scale Systems - PDF
  • Modeling and simulation of thermomechanical coupled fracture problems - PDF
  • Hierarchical NURBS and a higher-order phase-field approach to fracture for finite-deformation contact problems - PDF
  • Hierarchical refinement for higher-order phase-field models - PDF
  • Fluid structure interaction problems - PDF
  • Finite deformation phase-field approach to fracture - PDF
  • Geometrically exact beam theory - PDF
  • Isogeometric analysis and thermomechanical contact - PDF
  • Isogeometric analysis for large deformation contact problems - PDF
  • Isogeometric analysis and domain decomposition - PDF
  • Phase separation in solder alloys - PDF
  • Computational contact mechanics - 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:

  • 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:

  • 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:


2021
  • 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., accepted, 2021, arXiv.org
  • 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, accepted, 2021, arXiv.org
2020
  • C. Hesch, U. Khristenko, R. Krause, A. Popp, A. Seitz, W. Wall and B. Wohlmuth: Frontiers in Mortar Methods for Isogeometric Analysis, SPP-Report 1748, submitted, 2020, arXiv.org
  • 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 problemsComput. 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