Alumni

• Research interests:   

  My research is focused on the mathematical description of highly deformable materials, structures and systems with a particular interest in:

  Soft Robotics and flexible multibody dynamics

  • Dynamics and control of soft robots using finite element formulations
  • Development of tailor-made simulation environments for flexible multibody systems
  • Contact mechanics within the field of nonsmooth dynamics

  Mechanical metamaterials and computational mechanics

  • Development of novel mathematical theories for micro-structured materials
  • Design, modeling and analysis of materials with second-gradient elasticity effects
  • Variational formulations and numerical treatment of spatial nonlinear beam theories

  for more information about my research visit my personal webpage www.simonreugster.com

  Teaching:

  • Mechanics of nonlinear continua
  • Dynamik mechanischer Systeme

Books:

dell'Isola, F., Eugster, S.R., Spagnuolo, M, Barchiesi, E.:  Evaluation of Scientific Sources in Mechanics Advanced Structured Materials, Vol. 152  Springer-Verlag, 2022 ISBN: 978-3-030-80550-0

Eugster, S.R.:  Geometric  Continuum Mechanics and Induced Beam Theories Lecture Notes in Applied and Computational Mechanics, Vol. 75 Springer-Verlag, 2015 ISBN: 978-3-319-16495-6

Journal Publications:

Eugster, S. R. and Harsch, J.:"A family of total Lagrangian Petrov-Galerkin Cosserat rod finite element formulations", GAMM-Mitteilungen, 2023. PDF GAMM

Harsch, J., Sailer, S. and Eugster, S.R.: "A total Lagrangian, objective and intrinsically locking-free Petrov-Galerkin SE(3) Cosserat rod finite element formulation", International Journal for Numerical Methods in Engineering, 2023. PDF IJNME

dell'Isola, F., Eugster, S. R., Fedele, R., and Seppecher, P. "Second-gradient continua: From Lagrangian to Eulerian and back", Mathematics and Mechanics of Solids, Vol. 27(12), pp. 2715-2750, 2022. PDF Link

Harsch, J., Ganzosch, G., Barchiesi, E., Ciallella, A., and Eugster, S.R.: "Experimental analysis, discrete modeling and parameter optimization of SLS-printed bi-pantographic structures", Mathematics and Mechanics of Solids, Vol.  27(10), pp. 2201-2217, 2022. PDF MMS

Ciallella, A., Giorgio, I., Eugster, S. R., Rizzi, N. L., and dell'Isola, F.: "Generalized beam model for the analysis of wave propagation with a symmetric pattern of deformation in planar pantographic sheets", Wave Motion, Vol. 113, pp. 102986:1-26, 2022. PDF Link

Capobianco, G. and Eugster, S.R. "On the divergence theorem for submanifolds of Euclidean vector spaces within the theory of second gradient continua", Zeitschrift für angewandte Mathematik und Physik, Vol. 73(86), pp. 1-22, 2022. PDF Link

Lai, M., Eugster, S. R., Reccia, E., Spagnuolo, M., and Cazzani, A.: "Corrugated shells: An algorithm for generating double-curvature surfaces for structural analysis", Thin-Walled Structures, Vol. 173, pp. 109019:1-11, 2022. PDF Link

Eugster, S. R., Harsch, J., Herrmann, M., Capobianco, G., Bartholdt, M., and Wiese, M. "Soft pneumatic actuator model based on a pressure-dependent spatial nonlinear rod theory", IEEE Robotics and Automation Letters, Vol. 7(2), pp. 2471-2478, 2022. PDF Link.

Eugster, S.R., dell'Isola, F., Fedele, R. and Seppecher, P. "Piola transformations in second gradient continua", Mechanics Research Communications, Vol. 120, pp. 103836:1-8, 2022. PDF Link

Eugster, S.R. "Numerical analysis of nonlinear wave propagation in a pantographic sheet", Mathematics and Mechanics of Complex Systems, Vol. 9(3), pp. 293-310, 2021. PDF Link

Capobianco, G., Harsch, J., Eugster S.R. and Leine, R.I. “A nonsmooth generalized-alpha method for mechanical systems with frictional contact”, International Journal for Numerical Methods in Engineering, Vol. 122(22), pp. 6497-6526, 2021. PDF Link

Harsch, J., Capobianco, G. and Eugster, S. R. "Finite element formulations for constrained spatial nonlinear beam theories", Mathematics and Mechanics of Solids, Vol. 26(12), pp. 1-26, 2021. PDF MMS

Capobianco, G., Winandy., T. and Eugster, S. R. "The principle of virtual work and Hamilton's principle on Galilean manifolds", Journal of Geometric Mechanics, Vol. 13(2), pp. 167-193, 2021. PDF JGM

Sailer, S., Eugster, S. R. and Leine R. I. "The Tippedisk: a Tippetop without rotational symmetry", Regular and Chaotic Dynamics, Vol. 25(6), pp. 553-580, 2020. PDF, RCD

Barchiesi, E., Harsch, J., Ganzosch, G. and Eugster, S.R. "Discrete versus homogenized continuum modeling in finite deformation bias extension test of bi-pantographic fabrics", Continuum Mechanics and Thermodynamics, pp. 1-14, 2020. PDF CMAT 

Eugster, S. R., Capobianco, G. and Winandy, T. "Geometric description of time-dependent finite-dimensional mechanical systems", Mathematics and Mechanics of Solids, pp. 1-26, 2020. PDF MMS 

Schulte, J., Dittmann, M., Eugster, S.R., Hesch, S., Reinicke, T., dell'Isola, F. and Hesch, C. "Isogeometric shell elements for fiber reinforced composites", Computer Methods in Applied Mechanics and Engineering, Vol. 362, pp. 112845:1-34, 2020. PDF CMAME 

Barchiesi, E., Eugster, S.R., dell'Isola, F. and Hild, F. "Large in-plane elastic deformations of bi-pantographic fabrics: asymptotic homogenisation and experimental validation", Mathematics and Mechanics of Solids, Vol. 25(3), pp. 739-767, 2020. PDF MMS 

Barchiesi, E., Eugster, S.R., Placidi, L. and dell'Isola, F. "Pantographic beam: a complete second gradient 1D-continuum in plane", Zeitschrift für angewandte Mathematik und Physik, Vol. 70(5), pp. 135:1-24, 2019. PDF ZAMP

dell'Isola et al. "Advances in pantographic structures: design, manufacturing, models, experiments and image analyses", Continuum Mechanics and Thermodynamics, Vol. 31(4), pp. 1231-1282, 2019. CMAT

Eugster, S.R., dell’Isola, F. and Steigmann, D.J. "Continuum theory for mechanical metamaterials with a cubic lattice substructure", Mathematics and Mechanics of Complex Systems, Vol. 7(1), pp. 75-98, 2019. PDF M&MoCS

Deutschman, B., Eugster, S.R. and Ott, Ch. "Reduced models for the static simulation of an elastic continuum mechanism”, IFAC-PapersOnLine 51(2), pp. 403-408, 2018. PDF

Andreaus, U., Spagnuolo, M., Lekszycki, T. and Eugster, S.R. "A Ritz approach for the static analysis of planar pantographic structures modeled with nonlinear Euler-Bernoulli beams", Continuum Mechanics and Thermodynamics, Vol. 30(5), pp. 1103-1123, 2018. PDF CMAT

Capobianco, G. and Eugster, S.R. "Time finite element based Moreau-type integrators", International Journal for Numerical Methods in Engineering, Vol. 114(3), pp. 215-345, 2018. PDF INTJNUMERMETHENG

Eugster, S. R. and dell'Isola, F. "Exegesis of sect. III.B from "Fundamental of the mechanics of continua" by E. Hellinger”, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 98(1), pp. 69-105, 2018. PDF  ZAMM

Eugster, S. R. and dell'Isola, F. "Exegesis of sect. II and III.A from "Fundamental of the Mechanics of Continua" by E. Hellinger”, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 98(1), pp. 31-68, 2018.  PDF  ZAMM

Eugster, S.R. and Glocker, Ch. "On the notion of stress in classical continuum mechanics”, Mathematics and Mechanics of Complex Systems, Vol. 5 (3-4), pp. 299-338, 2017. PDF MEMOCS

Hesch, C., Schuss, S., Dittmann, M., Eugster, S.R., Favion, M. and Krause, R. "Variational space-time elements for large-scale systems”, Computer Methods in Applied Mechanics and Engineering, Vol. 326, pp. 541-572, 2017.   PDF  COMPUTMETHODAPPLM

Eugster, S. R. and dell'Isola, F. "Exegesis of the introduction and sect. I from "Fundamental of the Mechanics of Continua" by E. Hellinger”, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 97(4), pp. 477-506, 2017.  PDF  ZAMM

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”, International Journal for Numerical Methods in Engineering, Vol. 97(2), pp. 111–129, 2014.  PDF  INTJNUMERMETHENG

Eugster, S.R. and Glocker, Ch. "Constraints in structural and rigid body mechanics: A frictional contact problem”, Annals of Solid and Structural Mechanics, Vol. 5 (1-2), pp. 1–13, 2013. PDF  ANNSOLSTRM

Book Contributions:

Eugster, S.R.: "Hellinger's 1913 encyclopedia article on the fundamentals of the mechanics of continua", In: dell'Isola, F., Eugster, S.R., Spagnuolo, M. and Barchiesi, E. (Eds.) Evaluation of Scientific Sources in Mechanics. Advanced Structured Materials, Vol. 152. Springer, pp. 99-313, 2022. PDF ASM

Eugster S.R., Harsch J.: "A Variational Formulation of Classical Nonlinear Beam Theories". In: Abali B., Giorgio I. (eds) Developments and Novel Approaches in Nonlinear Solid Body Mechanics. Advanced Structured Materials, vol 130. Springer, pp. 95-121, 2020. PDF ASM 

Harsch J., Eugster S.R.: "Finite Element Analysis of Planar Nonlinear Classical Beam Theories". In: Abali B., Giorgio I. (eds) Developments and Novel Approaches in Nonlinear Solid Body Mechanics. Advanced Structured Materials, vol 130. Springer, pp. 123-157, 2020. PDF ASM

dell'Isola, F., Volkov, I.A., Igumnov, L.A., Eugster, S.R., et al.: "Estimating fatigue related damage in alloys under block-typ non-symmetrical low-cycle loading", In Abali, B.E., Altenbach, H., dell'Isola, F., Eremeyev, V.A., Öchsner, A. (Eds.) New Achievements in Continuum Mechanics and Thermodynamics, Springer, pp. 81-92, 2019. ASM

Eugster, S.R. and Steigmann, D.J.: "Variational methods in the theory of beams and lattices", In Altenbach, H., Öchsner, A. (Eds.) Encyclopedia of Continuum Mechanics. Springer, pp. 1-9, 2018. PDF ECM

Proceedings:

Sailer, S., Eugster, S.R., and Leine, R.I., "The Tippedisk: A minimal model for friction-induced inversion", Proceedings in ECCOMAS Thematic Conference on Multibody Dynamics, pp. 37-47, 2021. PDF Link

Eugster, S. R., and Barchiesi, E. "A second gradient continuum formulation for bi-pantographic fabrics", Proceedings in Applied Mathematics and Mechanics, Vol. 21, pp. e202100192:1-3, 2021. PDF Link

Capobianco, G., Harsch, J., Eugster, S. R., and Leine, R. I. "Simulating mechanical systems with frictional contacts using a nonsmooth generalized-alpha method", In Proceedings in Applied Mathematics and Mechanics, Vol. 21, pp. e202100141:1-3, 2021. PDF Link

Harsch, J., Capobianco, G., and Eugster, S. R. „Dynamic simulation of the Wilberforce pendulum using constrained spatial nonlinear beam finite elements“, Proceedings in Applied Mathematics and Mechanics, Vol. 21, pp. e202100110:1-2, 2021. PDF Link

Eugster, S.R., Capobianco, G. and Winandy, T.: "On different geometric approaches to the dynamics of finite-dimensional mechanical systems", In Proceedings in Applied Mathematics and Mechanics, Vol. 19, pp. e201900327:1-2, 2019. PDF

Winandy, T., Capobianco, G. and Eugster, S.R.: "Kinematics of finite-dimensional mechanical systems on Galilean manifolds", In Proceedings in Applied Mathematics and Mechanics, Vol. 19, pp. e201900329:1-2, 2019. PDF

Capobianco, G., Winandy, T. and Eugster, S.R.: "Dynamics of finite-dimensional mechanical systems on Galilean manifolds", In Proceedings in Applied Mathematics and Mechanics, Vol. 19, pp. e201900328:1-2, 2019. PDF

Eugster, S.R. and Deutschmann, B.: "A nonlinear Timoshenko beam formulation for modeling a tendon-driven compliant neck mechanism”, In Proceedings in Applied Mathematics and Mechanics, Vol. 18, pp. e201800208:1-2, 2018. PDF

Winandy, T., Capobianco, G. and Eugster, S.R.: "A geometric view on the kinematics of finite dimensional mechanical systems”, In Proceedings in Applied Mathematics and Mechanics, Vol. 18, pp. e201800221:1-2, 2018. PDF

Capobianco, G., Eugster, S.R. and Winandy, T.: "Modeling planar pantographic sheets using a nonlinear Euler-Bernoulli beam element based on B-spline functions”, In Proceedings in Applied Mathematics and Mechanics, Vol. 18, pp. e201800220:1-2, 2018. PDF

Eugster, S.R. and dell'Isola, F.: "An ignored source in the foundations of continuum physics "Die Allgemeinen Ansätze der Mechanik der Kontinua" by E. Hellinger”, In Proceedings in Applied Mathematics and Mechanics, Vol. 17, pp. 413-414, 2017. PDF

Winandy, T., Eugster, S.R. and Bergold, M.: "A robot inspired by a non-smooth point mass model of a worm”, In Proceedings in Applied Mathematics and Mechanics, Vol. 17, pp. 143-144, 2017. PDF

Capobianco, G., Eugster, S.R. and Leine, R.I.: "Moreau-type integrators based on the time finite element discretization of the virtual action”, In Proceedings in Applied Mathematics and Mechanics, Vol. 17, pp. 177-178, 2017. PDF

Capobianco, G., Winandy, T., Eugster, S.R. and Leine, R.I.: "Comparison of Moreau-type integrators based on the time finite element discretization of the virtual action”, In Proceedings of the 9th European Nonlinear Dynamics Conference, pp. 1-2, 2017.  PDF

Eugster, S.R. and Glocker, Ch.: "An alternative perspective on the concept of stress in classical continuum mechanics”, In Proceedings in Applied Mathematics and Mechanics. Vol. 16, pp. 331-332, 2016.  PDF

Capobianco, G. and Eugster, S.R.: "A Moreau-type variational integrator”, In Proceedings in Applied Mathematics and Mechanics. Vol. 16, pp. 941-944, 2016.  PDF

Eugster, S.R.: "An intrinsic geometric formulation of the equilibrium equations in continuum mechanics”, In Proceedings in Applied Mathematics and Mechanics. Vol. 15, pp. 289-291, 2015.  PDF

Eugster, S.R. and Glocker, Ch.: "Determination of the transverse shear stress in an Euler-Bernoulli beam using non-admissible virtual displacements”, In Proceedings in Applied Mathematics and Mechanics, Vol. 14, pp. 187-188, 2014. PDF

Eugster, S.R. and Glocker, Ch.: "Dynamical behavior of a nonlinear elastic catenary with a rigid disk a nonlinear finite element formulation”, In Proceedings of the Multibody Dynamics 2011 ECCOMAS Thematic Conference, 2011. PDF 

Eugster, S.R. and Glocker, Ch.: "Frictional impact of a rigid disk on an elastic cable”, In Advances in Modern Aspects of Mechanics, 2010. PDF 

Saur, S.C., Alkadhi, H., Regazzoni, L., Eugster, S., Székely, G. and Cattin, P.: "Contrast enhancement with dual energy CT for the assessment of atherosclerosis”. In Bildverarbeitung für die Medizin 2009, 2009. PDF

Doctoral Thesis:

Research projects:

• ProVerB - Prognosewerkzeuge für das mechanische Verhalten von Beton über lange Zeiträume zur Sicherheitsanalyse von Verschlusssystemen für Endlagerstätten
• Nonlinear dynamics of fractionally damped mechanical systems

Hinze, M., Schmidt, A., Leine, R.I.: "Finite Element Formulation of Fractional Constitutive Laws Using the Reformulated Infinite State Representation", Fractal Fractional, Vol. 5, pp.132., 2021. PDF Link 

Hinze, M., Schmidt, A., Leine, R.I.: "The direct method of Lyapunov for nonlinear dynamical systems with fractional damping", Nonlinear Dynamics, Vol. 102(4), pp. 2017-2037, 2020. PDF, Link

Schmidt, A., Beyer, H.R., Hinze, M., Vandoros, E.N.: "Finite element approach for the solution of first-order differential equations", Journal of Applied Mathematics and Physics, Vol. 8(10), pp. 2072-2090, 2020. PDF, Link

Hinze, M., Schmidt, A. and Leine, R.I.: "Lyapunov stability of a fractionally damped oscillator with linear (anti-)damping",  International Journal of Nonlinear Science and Numerical Simulation, Vol. 21(5), pp. 425-442, 2020.  PDF,  Link

Hinze, M., Schmidt, A. and Leine, R.I.: "Numerical solution of fractional-order ordinary differential equations using the reformulated infinite state representation", in Fractional Calculus and Applied Analysis, Vol. 22(5), pp. 1321-1350, 2019. PDF, Link

Hinze, M., Schmidt, A. and Leine, R.I.: "Numerical Simulation of Fractionally Damped Mechanical Systems Using Infinite State Representation", Proceedings of the 2019 International Conference on Fractional Calculus Theory and Applications, Bourges, France, 2019. PDF

Hinze, M., Schmidt, A. and Leine, R.I.: "Mechanical Representation and Stability of Dynamical Systems Containing Fractional Springpot Elements", Proc. IDETC, Quebec, Canada, 2018. PDF

Mittag-Leffler-Funktionen, fraktionale Infinitesimalrechnung und deren Anwendung zur Beschreibung des viskoelastischen Verhaltens von Beton. Universität Leipzig, Mathematisches Institut (2016). PDF

Walker, S.V. and Leine, R.I.: "Set-valued anisotropic dry friction laws: formulation, experimental verification and instability phenomenon", in  Nonlinear Dynamics, Vol. 96, pp. 885–920, 2019. PDF, Link

Walker, S. and Leine, R.I.: "Anisotropic dry friction with non-convex force reservoirs: modeling and experiments", Proc. ENOC, Budapest, Hungary, 2017. PDF

Walker, S.V. and Leine, R.I.: "Modeling and numerical simulation of anisotropic dry friction with non-convex friction force reservoir", Proc. IMSD, Montréal, Canada, 2016. PDF

Walker, S.V., Kim, J.-Y., Qu, J. and Jacobs, L.J.: "Fatigue damage evaluation in A36 steel using nonlinear Rayleigh waves", NDT&E International, Vol. 48, pp. 10-15, 2012.

Walker, S.V., Kim, J.-Y., Jacobs, L.J. and Qu, J.: "Characterization of fatigue damage in A36 steel specimens using nonlinear Rayleigh surface waves", In AIP Conference Proceedings, 1430, pp. 1415-1421, 2012.

Structural dynamics

Journal Publications:

Peter, S., Schreyer, F. and Leine, R.I.: “A method for numerical and experimental nonlinear modal analysis of nonsmooth systems”, in Mechanical Systems and Signal Processing, Vol. 120, pp. 793-807, 2019. PDF

Schreyer, F. and Leine, R.I.: "A Mixed Shooting–Harmonic balance method for unilaterally constrained mechanical systems", in  Archive of Mechanical Engineering, Vol. LXIII, No. 2, pp. 297-313, 2016.  PDF

Proceedings:

Schreyer, F. and Leine R.I. : “Combined frequency-time reduction methods for calculating periodic solutions of unilaterally constrained systems”, IUTAM Symposium on Model Order Reduction of Coupled Systems (MORCOS 2018), Stuttgart, Germany, 2018. 2 pages. PDF

Schreyer, F., Peter, S. and Leine, R. I.: “Experimental and Numerical Nonlinear Modal Analysis of a Beam with Impact: Part I – Numerical Investigation“, in Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics, Orlando, USA, 2018. PDF

Peter, S., Schreyer, F. and Leine, R. I.: “Experimental and Numerical Nonlinear Modal Analysis of a Beam with Impact: Part II – Experimental Investigation“, in Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics, Orlando, USA, 2018. PDF

Schreyer, F. and Leine, R.I.: "Mixed Shooting-HBM: a periodic solution solver for unilaterally constrained systems", Proc. IMSD, Montréal, Canada, 2016. PDF

Schreyer, F. and Leine, R.I.: "Finding Periodic Solutions of Forced Systems with Local Nonlinearities: A Mixed
Shooting Harmonic Balance Method", Proc. IDETC/CIE, 2015.  PDF

Leine, R.I. and Schreyer, F.: "A Mixed Shooting and Harmonic Balance Method for Mechanical Systems with Dry
Friction or other Local Nonlinearities", in Proceedings of the ECCOMAS Thematic Conference on Multibody Dynamics, Barcelona, Spain, 2015. PDF

Schreyer, F., Gross, J., Reuss, P., Junge, M. and Schoenenborn, H.: "Consideration of Interface Damping in Shrouded Mistuned Turbine Blades", 2014.  PDF

Peter, S., Schreyer, F., Reuss, P. and Gaul, L.  :"Consideration of local stiffening and clearance nonlinearities in coupled systems using a generalized Harmonic Balance Method",  Proc. ISMA, Leuven, 2014.  PDF