Prof. Dr.-Ing. habil. Peter Betsch
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Universität Siegen
Lehrstuhl für Numerische Mechanik Paul-Bonatz-Straße 9-11 D-57068 Siegen Tel.: +49 (271) 740-2224 Fax: +49 (271) 740-2436 E-Mail: peter.betsch@uni-siegen.de Raum: PB-A 207 Sprechstunden: Nach Vereinbarung, Terminabsprache bei Frau Thomas, Raum PB-A 205/1 |
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Arbeitsgebiete:
Numerische Mechanik
Selected
publications:
Betsch, P. and Sänger, N.: On the consistent formulation of torques in a rotationless framework for multibody dynamics., Computers and Structures, 2012, DOI
Hesch, C. and Betsch, P.: Isogeometric analysis and domain decomposition methods, Comput. Methods Appl. Mech. Engrg., 213-216: 104-112, 2012, DOI
Betsch, P., Siebert, R., and Sänger, N.: Natural coordinates in the optimal control of multibody systems, J. Comput. Nonlinear Dynam., 7(1):011009/1-011009/8, 2012, DOI
Groß, M. and Betsch, P.: Galerkin-based energy-momentum consistent time-stepping algorithms for classical nonlinear thermo-elastodynamics, Mathematics and Computers in Simulation, 82(4):718-770, 2011, DOI
Hesch, C., and Betsch, P.: Transient three-dimensional contact problems: mortar method. Mixed methods and conserving integration, Computational Mechanics, 48(4):461-475, 2011, DOI
Hesch, C., and Betsch, P.: Transient 3d contact problems--NTS method: mixed methods and conserving integration, Computational Mechanics, 48(4):437-449, 2011, DOI
Krüger, M., Groß, M., and Betsch, P.: A comparison of structure-preserving integrators for discrete thermoelastic systems, Computational Mechanics, 47(6):701–722, 2011, DOI
Hesch, C., and Betsch, P.: Energy-momentum consistent algorithms for dynamic thermomechanical problems – application to mortar domain decomposition problems, Int. J. Numer. Meth. Engng, 86(11):1277–1302, 2011, DOI
Hesch, C., and Betsch, P.: Transient three-dimensional domain decomposition problems: Frame-indifferent mortar constraints and conserving integration, Int. J. Numer. Meth. Engng 82(3), 329–358, 2010, DOI
Groß, M., and Betsch, P.: Energy-momentum consistent finite element discretization of dynamic finite viscoelasticity, Int. J. Numer. Meth. Engng 81(11), 1341–1386, 2010, DOI
Uhlar, S., and Betsch, P.: On the derivation of energy consistent time stepping schemes for friction afflicted multibody systems, Computers and Structures 88(11-12), 737–754, 2010, DOI
Betsch, P., Hesch, C., Sänger, N., and Uhlar, S.: Variational integrators and energy-momentum schemes for flexible multibody dynamics, J. Comput. Nonlinear Dynam. 5(3), 031001/1–031001/11, 2010, DOI
Betsch, P., and Siebert, R.: Rigid body dynamics in terms of quaternions: Hamiltonian formulation and conserving numerical integration, Int. J. Numer. Meth. Engng 79(4), 444–473, 2009, DOI
Betsch, P., and Sänger, N.: On the use of geometrically exact shells in a conserving framework for flexible multibody dynamics, Comput. Methods Appl. Mech. Engrg. 198, 1609–1630, 2009, DOI
Hesch, C., and Betsch, P.: A mortar method for energy-momentum conserving schemes in frictionless dynamic contact problems, Int. J. Numer. Meth. Engng 77(10), 1468–1500, 2009, DOI
Uhlar, S., and Betsch, P.: A rotationless formulation of multibody dynamics: Modeling of screw joints and incorporation of control constraints, Multibody System Dynamics 22(1), 69–95, 2009, DOI
Betsch, P., and Sänger, N.: A nonlinear finite element framework for flexible multibody dynamics: Rotationless formulation and energy-momentum conserving discretization, Multibody Dynamics: Computational Methods and Applications, volume 12, Springer-Verlag, 119–141, Eds: Bottasso, Carlo L., 2009
Uhlar, S., and Betsch, P.: Conserving Integrators for Parallel Manipulators, Parallel Manipulators, I-Tech Education and Publishing, www.books.i-techonline.com, 75–108, Eds: Ryu, J.-H., Vienna, Austria, 2008
Leyendecker, S., Betsch, P., and Steinmann, P.: The discrete null space method for the energy consistent integration of constrained mechanical systems. Part III: Flexible multibody dynamics, Multibody System Dynamics 19(1-2), 45–72, 2008, DOI
Betsch, P., and Hesch, C.: Energy-momentum conserving schemes for frictionless dynamic contact problems. Part I: NTS method, IUTAM Symposium on Computational Methods in Contact Mechanics, volume 3, Springer-Verlag, 77–96, Eds: Wriggers, P., and Nackenhorst, U., 2007, DOI
Betsch, P., and Uhlar, S.: Energy-momentum conserving integration of multibody dynamics, Multibody System Dynamics 17(4), 243–289, 2007, DOI
Hesch, C., and Betsch, P.: A comparison of computational methods for large deformation contact problems of flexible bodies, Z. Angew. Math. Mech. (ZAMM) 86(10), 818–827, 2006, DOI
Leyendecker, S., Betsch, P., and Steinmann, P.: Objective energy-momentum conserving integration for the constrained dynamics of geometrically exact beams, Comput. Methods Appl. Mech. Engrg. 195, 2313–2333, 2006, DOI
Betsch, P.: Energy-consistent numerical integration of mechanical systems with mixed holonomic and nonholonomic constraints, Comput. Methods Appl. Mech. Engrg. 195, 7020–7035, 2006, DOI
Betsch, P., and Leyendecker, S.: The discrete null space method for the energy consistent integration of constrained mechanical systems. Part II: Multibody dynamics, Int. J. Numer. Meth. Engng 67(4), 499–552, 2006, DOI
Betsch, P.: The discrete null space method for the energy consistent integration of constrained mechanical systems. Part I: Holonomic constraints, Comput. Methods Appl. Mech. Engrg. 194(50-52), 5159–5190, 2005, DOI
Groß, M., Betsch, P., and Steinmann, P.: Conservation properties of a time FE method. Part IV: Higher order energy and momentum conserving schemes, Int. J. Numer. Meth. Engng 63, 1849–1897, 2005, DOI
Betsch, P.: A unified approach to the energy-consistent numerical integration of nonholonomic mechanical systems and flexible multibody dynamics, GAMM Mitteilungen 27(1), 66–87, 2004,
Leyendecker, S., Betsch, P., and Steinmann, P.: Energy-conserving integration of constrained Hamiltonian systems - a comparison of approaches, Computational Mechanics 33(3), 174–185, 2004, DOI
Betsch, P., and Steinmann, P.: Constrained dynamics of geometrically exact beams, Computational Mechanics 31, 49–59, 2003, DOI
Betsch, P.: Computational Methods for Flexible Multibody Dynamics, Habilitationsschrift, Lehrstuhl für Technische Mechanik, Universität Kaiserslautern, 2002,
Betsch, P., and Steinmann, P.: Conservation Properties of a Time FE Method. Part III: Mechanical systems with holonomic constraints, Int. J. Numer. Meth. Engng 53, 2271–2304, 2002, DOI
Betsch, P., and Steinmann, P.: Frame-indifferent beam finite elements based upon the geometrically exact beam theory, Int. J. Numer. Meth. Engng 54, 1775–1788, 2002, DOI
Betsch, P., and Steinmann, P.: A DAE approach to flexible multibody dynamics, Multibody System Dynamics 8, 367–391, 2002, DOI
Betsch, P., and Steinmann, P.: Constrained Integration of Rigid Body Dynamics, Comput. Methods Appl. Mech. Engrg. 191, 467–488, 2001, DOI
Betsch, P., and Steinmann, P.: Conservation Properties of a Time FE Method. Part II: Time-Stepping Schemes for Nonlinear Elastodynamics, Int. J. Numer. Meth. Engng 50, 1931–1955, 2001, DOI
Betsch, P., and Steinmann, P.: Derivation of the Fourth-Order Tangent Operator Based on a Generalized Eigenvalue Problem, Int. J. Solids Structures 37, 1615–1628, 2000, DOI
Betsch, P., and Steinmann, P.: Inherently Energy Conserving Time Finite Elements for Classical Mechanics, Journal of Computational Physics 160, 88–116, 2000, DOI
Betsch, P., and Steinmann, P.: Conservation Properties of a Time FE Method. Part I: Time-Stepping Schemes for N-Body Problems, Int. J. Numer. Meth. Engng 49, 599–638, 2000, DOI
Steinmann, P., and Betsch, P.: A Localization Capturing FE-Interface Based on Regularized Strong Discontinuities at Large Inelastic Strains, Int. J. Solids Structures 37, 4061–4082, 2000, DOI
Betsch, P., and Stein, E.: Numerical Implementation of Multiplicative Elasto-Plasticity into Assumed Strain Elements with Application to Shells at Large Strains, Comput. Methods Appl. Mech. Engrg. 179, 215–245, 1999, DOI
Betsch, P., Menzel, A., and Stein, E.: On the Parametrization of Finite Rotations in Computational Mechanics. A Classification of Concepts with Application to Smooth Shells, Comput. Methods Appl. Mech. Engrg. 155, 273–305, 1998, DOI
Steinmann, P., Betsch, P., and Stein, E.: FE Plane Stress Analysis Incorporating Arbitrary 3D Large Strain Constitutive Models, Eng. Comput. 14, 175–201, 1997, DOI
Betsch, P.: Statische und dynamische Berechnungen von Schalen endlicher elastischer Deformationen mit gemischten Finiten Elementen, Dissertation, Bericht-Nr. F 96/4, Institut für Baumechanik und Numerische Mechanik der Universität Hannover, 1996
Betsch, P., Gruttmann, F., and Stein, E.: A 4-Node Finite Shell Element for the Implementation of General Hyperelastic 3D-Elasticity at Finite Strains, Comput. Methods Appl. Mech. Engrg. 130, 57–79, 1996, DOI
Betsch, P., and Stein, E.: A Nonlinear Extensible 4-Node Shell Element Based on Continuum Theory and Assumed Strain Interpolations, J. Nonlinear Sci. 6, 169–199, 1996, DOI
Betsch, P., and Stein, E.: An Assumed Strain Approach Avoiding Artificial Thickness Straining for a Nonlinear 4-Node Shell Element, Commun. Numer. Meth. Engng 11, 899–909, 1995, DOI