Festigkeitslehre (SoSe 2016)

Grundlagen Finite Elemente (WS 2015/16)

Baudynamik (WS 2014/15, WS 2015/16)

Finite Elemente in der Festkörpermechanik (SoSe 2015)

Kontinuumsmechanik (WS 2014/15)

Anwendungsorientierte Materialtheorien (SoSe 2014)

Kontaktmechanik - Einführung und Grundlagen (SoSe 2014, SoSe 2015)

Basic research:

Computational contact mechanics (PDF, 971 KB)

Isogeometric analysis and thermomechanical contact (PDF, 1,1 MB)

Isogeometric analysis and domain decomposition (PDF, 1,3 MB)

Geometrically exact beam theory (PDF, 121KB)

Fluid structure interaction problems (PDF, 2,7 MB)

Finite deformation phase-field approach to fracture (PDF, 1,1 MB)

Phase separation in solder alloys (PDF, 2,8 MB)

Hierarchical refinement for higher-order phase-field models (PDF, 2,0 MB)

Industrial cooperation:

Analysis of the temperature development within a brake disk (PDF, 699 KB)

Anisotropic friction and adhesion at large strains (PAK 440)

Energy consistent discretization of transient frictional contact problems (HE 5943/1)

Structure preserving contact formulations of thermomechanical systems (HE 5943/3)

Methods and algorithms for contact analysis (HE 5943/6)

Numerical and experimental analysis of diffusion induced aging in engineering solid mixture components (WE 2525/4)

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"

Isogeometric Analysis for Multifield Computational Contact Problems (HE 5943/8)

Dittmann, M., Bilgen, C., Franke, M., Weinberg, K., Gil, A.J., Hesch, C.: A framework for polyconvex large strain phase-field methods to fracture, Int. J. Numer. Meth. Engng, in preparation, 2016

Schuß, S., Weinberg, K., Hesch, C.: Joule heating and thermomigration in solder balls, in preparation, 2016

Hesch, C., Schuß, S., Dittmann, M., Franke, M. and Weinberg, K.: Isogeometric analysis and hierarchical refinement for higher-order phase-field models, Comput. Methods Appl. Mech. Engrg, 303:185-207, 2016, DOI

Hesch, C., Franke, M., Dittmann, M., Temizer, I.: 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

Temizer, I., Hesch, C.: Hierarchical NURBS in Frictionless Contact, Comput. Methods Appl. Mech. Engrg, 299:161-186, 2016, DOI

Ortigosa, R., Gil, A.J., Bonet, J. and Hesch, C.: A computational framework for polyconvex large strain elasticity for geometrically exact beam theory, Computational Mechanics, 57:277-303, 2016, DOI, PDF (2,7 MB)

Weinberg, K. and Hesch, C.: A high-order finite-deformation phase-field approach to fracture, Continuum Mechanics and Thermodynamics, 2015, DOI

Hesch, C. and Weinberg, K.: Thermodynamically consistent algorithms for dynamic phase field models of fracture and finite deformations, Int. J. Numer. Meth. Engng, 99:906-924, 2014, DOI

Eugster, S.R., Hesch, C., Betsch, P. and Glocker, Ch.: 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 

Dittmann, M., Franke, M., Temizer, I. and Hesch, C.: Isogeometric analysis and thermomechanical Mortar contact problems, Comput. Methods Appl. Mech. Engrg, 274:192-212, 2014, DOI 

Hesch, C., Gil, A.J., Arranz Carreño, A., Bonet, J. and P. Betsch, P.: 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

Hesch, C.: Dynamics of continua with interfaces, Habilitation thesis, Universität Siegen, 2013, URN

Hesch, C., Betsch, P.: Continuum mechanical considerations for rigid bodies and fluid-structure interaction problems, Archive of Mechanical Engineering, 2013, DOI, PDF

Franke, M., Hesch, C. and Betsch, P.: An augmentation technique for large deformation frictional contact problems, Int. J. Numer. Meth. Engng, 2013, DOI, PDF

Hesch, C., Gil, A.J., Arranz Carreño, A. and Bonet, J.: On continuum immersed techniques for fluid-structure interaction, Comput. Methods Appl. Mech. Engrg., 247-248:51-64, 2012, DOI, PDF

Anders, D., Hesch, C. and Weinberg, K.: Computational modeling of phase separation and coarsening in solder alloys, Int. J. Solids Struct., 49:1557-1572, 2012, DOI

Hesch, C., Betsch, P.: Isogeometric analysis and domain decomposition methods, Comput. Methods Appl. Mech. Engrg. 213:104-112, 2012, DOI, PDF

Hesch, C., Betsch, P.: Transient three-dimensional contact problems: mortar method. Mixed methods and conserving integration, Computational Mechanics, 48:461-475, 2011, DOI, PDF

Hesch, C., Betsch, P.:Transient 3d contact problems - NTS method: Mixed methods and conserving integration, Computational Mechanics, 48:437-449, 2011, DOI, PDF

Hesch, C., Betsch, P.: 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

Hesch, C., Betsch, P.: Transient 3d domain decomposition problems: Frame-indifferent mortar constraints and conserving integration, Int. J. Numer. Meth. Engng, 82:329 – 358, 2009, DOI, PDF

Betsch, P., Hesch, C., Sänger, N. and Uhlar, S.: Variational integrators and energy-momentum schemes for flexible multibody dynamics, Journal of Computational and Nonlinear Dynamics, 5, 031001, 2010, DOI

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

C. Hesch: Mechanische Integratoren für Kontaktvorgänge deformierbarer Körper unter großen Verzerrungen, Dissertation, Fachbereich Maschinenbau, Universität Siegen, 2007, URN

Hesch, C., Betsch, P.: Energy-momentum conserving schemes for frictionless dynamic contact problems. Part I: NTS method, IUTAM Bookseries, Springer-Verlag, 3:77 – 96, 2007, Springer

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

Weitere Publikationen:

Bilgen, C., Hesch, C., Weinberg, K.: A polyconvex strain energy split for a high-order phase-field approach to fracture, Proc. Appl. Math. Mech., submitted, 2016

Franke, M., Hesch, C., Dittmann, M.: Phase-field approach to fracture for finite-deformation contact problems, Proc. Appl. Math. Mech., submitted, 2016

Janz, A., Betsch, P., Hesch, C.: Mixed integrators for structure-preserving simulations in nonlinear structural dynamics, ECCOMAS Thematic Conference, submitted, 2016

Franke, M., Hesch, C. and Dittmann, M.: A higher order phase field approach to fracture for finite-deformation contact problems, ECCOMAS Thematic Conference, submitted, 2016

Hesch, C., Betsch, P.: Application of domain decomposition methods to isogeometric analysis, Proc. Appl. Math. Mech. 12, 179-180, 2012, DOI, PDF

Hesch, C., Betsch, P.: An object oriented framework: From flexible multibody dynamics to fluid-structure interaction, IMSD, Stuttgart, 29.05.-01.06.2012, PDF

Franke, M., Hesch, C. and Betsch, P.: An energy-momentum scheme for frictional contact in flexible multibody dynamics, IMSD, Stuttgart, 29.05.-01.06.2012, PDF

Betsch, P., Sänger, N. and Hesch, C.: Geometrically exact structural models for large deformation problems in flexible multibody dynamics, IASS-IACM 2012, Sarajevo, 2-4.04.2012, PDF

Franke, M., Hesch, C. and Betsch, P.: Energy-momentum consistent integration of frictional multibody contact problems, In Proccedings of the ECCOMAS Thematic Conference, Brussels, 4-7.07.2011, PDF

Sänger, N., Betsch, P. and Hesch, C.: A computational framework for large deformation problems in flexible multibody dynamics, In Proccedings of the ECCOMAS Thematic Conference, Brussels, 4 – 7 July 2011, PDF

Franke, M., Hesch, C. and Betsch, P.: Consistent time integration for transient three-dimensional contact using the NTS-method, Proc. Appl. Math. Mech, 11:209 – 210, 2011, DOI, PDF

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

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

Hesch, C., Betsch, P.: 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

Hesch, C., Betsch, P.: Mortar methods for large deformation contact problems, Proc. Appl. Math. Mech, 8:10119 – 10120, 2008, DOI, PDF

Hesch, C., Betsch, P.: Energy-momentum schemes for large deformation contact problems, Proc. Appl. Math. Mech, 7:4040005 – 4040006, 2007, DOI, PDF

Hesch, C., Betsch, P.: On the energy-momentum conserving integration of large deformation contact problems, In Proccedings of the ECCOMAS Thematic Conference, Mailand, 25-28.06.2007, PDF

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

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