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Prof. Dr.-Ing. habil. Peter Betsch






 Universität Siegen
FB11 Maschinenbau
Institut für Mechanik und Regelungstechnik
Paul-Bonatz-Straße 9-11
D-57076 Siegen 		P. Betsch



Tel.: +49 (271) 740-2224
Fax: +49 (271) 740-2436
E-Mail: betsch@imr.mb.uni-siegen.de
Raum: PB-A 207
Sprechstunden: Nach Vereinbarung, Terminabsprache bei Frau Thomas, Raum PB-A 205/1

Arbeitsgebiete:

Numerische Mechanik

Lehre:

Selected publications:

P. BETSCH, E. STEIN,
An assumed strain approach avoiding artificial thickness straining for a nonlinear 4-node shell element,
Comm. Num. Meth. Eng., 11: 899-909, 1995
P. BETSCH,
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.
P. BETSCH,F. GRUTTMANN, E. STEIN,
A 4-node finite shell element for the implementation of general hyperelastic 3D-elasticity at finite strains,
Comp. Meth. Appl. Mech. Engrg., 130: 57-79, 1996.
P. BETSCH, E. STEIN,
A nonlinear extensible 4-node shell element based on continuum theory and assumed strain interpolations,
J. Nonlinear Sci., 6: 169-199, 1996.
P. STEINMANN, P. BETSCH, E. STEIN,
FE plane stress analysis incorporating arbitrary 3D large strain constitutive models,
Eng. Comput., 14: 175-201, 1997.
P. BETSCH, A. MENZEL, E. STEIN,
On the parametrization of finite rotations in computational mechanics. a classification of concepts with application to smooth shells,
Comp. Meth. Appl. Mech. Engrg., 155: 273-305, 1998.
P. BETSCH, E. STEIN,
Numerical implementation of multiplicative elasto-plasticity into assumed strain elements with application to shells at large strains,
Comput. Methods Appl. Mech. Eng., 179, 215-245, 1999
P. BETSCH,P. STEINMANN,
Derivation of the fourth-order tangent operator based on a generalized eigenvalue problem,
Int. J. Solids Structures, 3: 1615-1628, 2000
P. BETSCH, P. STEINMANN,
Inherently energy conserving time finite elements for classical mechanics,
Journal of Computational Physics, 166, 88-116, 2000
P. BETSCH, P. STEINMANN,
Conservation properties of a time finite elemend method Part I: Time stepping schemes for N-body problems,
Int. J. Numer. Methods Eng, 49, 599-638, 2000
P. BETSCH, P. STEINMANN,
Conservation properties of a time finite element method. Part II: Time-stepping schemes for nonlinear elastodynamics,
Int. J. Numer. Methods Eng., 50, 1931-1955, 2001
P. BETSCH, P. STEINMANN,
Conservation properties of a time finite element method. Part III: Mechanical systems with holonomic constraints,
Int. J. Numer. Methods Eng., 53, 2271-2304, 2002
P. BETSCH, P. STEINMANN,
Constrained integration of rigid body dynamics,
Comput. Methods Appl. Mech. Eng., 191, 467-488, 2001
P. BETSCH, P. STEINMANN,
Frame-indifferent beam finite elements based upon the geometrically exact beam theory,
Int. J. Numer. Methods Eng., 54, 1775-1788, 2002
P. BETSCH,
Computational methods for flexible multibody dynamics,
Habilitationsschrift, Mai 2002
P. BETSCH, P. STEINMANN,
A DAE approach to flexible multibody dynamics,
Multibody System Dynamics, 8:367-391, 2002
P. BETSCH, P. STEINMANN,
Constrained dynamics of geometrically exact beams,
Computational Mechanics, 31:49-59, 2003
S. LEYENDECKER, P. BETSCH, P. STEINMANN,
Energy-conserving integration of constrained Hamiltonian systems - a comparison of approaches.
Computational Mechanics, 33:174-185, 2004
P. BETSCH,
A unified approach to the energy-consistent numerical integration of nonholonomic mechanical systems and flexible multibody dynamics,
GAMM Mitteilungen, 27:66-87, 2004
P. BETSCH
The discrete null space method for the energy consistent integration of constrained mechanical systems. Part I: Holonomic constraints.  
 Comput. Methods Appl. Mech. Eng., 194, 5159-5190, 2005
M. GROSS, P. BETSCH, P. STEINMANN,
Conservation properties of a time FE method. Part IV: Higher order energy and momentum conserving schemes.
Int. J. Numer. Methods Eng., 63, 1849-1897, 2005
S. LEYENDECKER, P. BETSCH, P. STEINMANN,
Objective energy–momentum conserving integration for the constrained dynamics of geometrically exact beams.  
 Comput. Methods Appl. Mech. Eng., 195, 2313-2333, 2006
P. BETSCH,
Energy-consistent numerical integration of mechanical systems with mixed holonomic and nonholonomic constraints. 
 Comput. Methods Appl. Mech. Eng., in print
P. BETSCH, S. LEYENDECKER
The discrete null space method for the energy consistent integration of constrained mechanical systems. Part II: Multibody dynamics.  
 Int. J. Numer. Methods Eng., 67, 499-552, 2006
C. HESCH, P. BETSCH
A comparison of computational methods for large deformation contact problems of flexible bodies.  
Z. Angew. Math. Mech. (ZAMM), 86(10):818--827, 2006.
S. LEYENDECKER, P. BETSCH, P. STEINMANN
Objective energy-momentum conserving integration for the constrained dynamics of geometrically exact beams.  
Comput. Methods Appl. Mech. Engrg., 195:2313--2333, 2006.
P. BETSCH, S. UHLAR
Energy-momentum conserving integration of multibody dynamics.  
 Multibody System Dynamics, 17(4):243--289, 2007.
P. BETSCH, C. HESCH
Energy-momentum conserving schemes for frictionless dynamic contact problems. Part I: NTS method.  
In P. Wriggers and U. Nackenhorst, editors, IUTAM Symposium on Computational Methods in Contact Mechanics, volume 3 of IUTAM Bookseries, pages 77--96. Springer-Verlag, 2007.
S. LEYENDECKER, P. BETSCH, P. STEINMANN
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.
S. UHLAR, P. BETSCH
Conserving integrators for parallel manipulators.  
 In J.-H. Ryu, editor, Parallel Manipulators, chapter 5, pages 75--108. I-Tech Education and Publishing, www.books.i-techonline.com, Vienna, Austria, 2008.
C. HESCH, P. BETSCH
A mortar method for energy-momentum conserving schemes in frictionless dynamic contact problems.  
Int. J. Numer. Meth. Engng, 77(10):1468--1500, 2009.
P. BETSCH, N. SÄNGER
A nonlinear finite element framework for flexible multibody dynamics: Rotationless formulation and energy-momentum conserving discretization.  
 In Carlo L. Bottasso, editor, Multibody Dynamics: Computational Methods and Applications, volume 12 of Computational Methods in Applied Sciences, pages 119--141. Springer-Verlag, 2009.
P. BETSCH, R. SIEBERT
Rigid body dynamics in terms of quaternions: Hamiltonian formulation and conserving numerical integration.  
Int. J. Numer. Meth. Engng, 2009, doi: 10.1002/nme.2586.
S. UHLAR, P. BETSCH
A rotationless formulation of multibody dynamics: Modeling of screw joints and incorporation of control constraints.  
Multibody System Dynamics, 2009, doi: 10.1007/s11044-009-9149-3.
P. BETSCH, N. SÄNGER
On the use of geometrically exact shells in a conserving framework for flexible multibody dynamics.  
Comput. Methods Appl. Mech. Engrg., 198:1609--1630, 2009.
M. GROSS, P. BETSCH
Energy-momentum consistent finite element discretisation of dynamic finite deformation viscoelasticity.  
Submitted for publication.
M. GROSS, P. BETSCH
On deriving free energy functions for isotropic nonlinear thermoelastic materials.  
Submitted for publication .
P. BETSCH, C. HESCH, N. SÄNGER, S. UHLAR.
Variational integrators and energy-momentum schemes for flexible multibody dynamics.  
Submitted for publication in ASME Journal of Computational and Nonlinear Dynamics.
C. HESCH and P. BETSCH.
Transient 3d domain decomposition problems: Frame-indifferent mortar constraints and conserving integration.  
Submitted for publication.
S. UHLAR, P. BETSCH
Energy consistent integration of dissipative multibody systems.  
Submitted for publication.
M. GROSS, P. BETSCH
A space-time energy-momentum consistent Galerkin method for classical nonlinear thermoelastodynamics.  
Submitted for publication.