PD Dr.-Ing. Bernhard Eidel

	Anschrift	PD Dr.-Ing. Bernhard Eidel Heisenberg Group Institut für Mechanik Department Maschinenbau Universität Siegen Paul-Bonatz-Straße 9-11 57076 Siegen, Germany
	Büro	Paul-Bonatz-Straße 9-11 PB-A 236
	Telefon Fax	+49 (0)271 740-2224 +49 (0)271 740-2436
	Email	bernhard.eidel@uni-siegen.de
	Sprechstunden	nach Vereinbarung jederzeit. (E-Mail)

Forschung

Lehre

Publikationen

Submitted for publication/preprints:
- Eidel, B., Ahmadi, M. (2020)
  
  Insights into the Interplay of Diffusion and Stress in the Intercalation Dynamics of a Li-ion Battery Electrode by Phase-Field Finite Element Modeling. PDF
- Eidel B., Fischer A., Gote A. (2019)
  
  A nonlinear finite element heterogeneous multiscale method for the homogenization of hyperelastic solids and a novel staggered two-scale solution algorithm. PDF
- Eidel, B. & Kuhn, C. (2015)
  
  Is there an order-barrier p <=2 for time integration in computational elasto-plasticity? URL
Publications:
- Gote, A., Fischer, A., Zhang C., Eidel, B. (2021)
  
  Computational Homogenization of Concrete in the Cyber Size-Resolution-Discretization (SRD) Parameter Space. Finite Elements in Analysis and Design, accepted for publication.
- Eidel, B., Fischer, A., Gote, A. (2020)
  
  From image data towards microstructure information -- accuracy analysis at the digital core of materials, ZAMM-Journal of Applied Mathematics and Mechanics. PDF, DOI
- Eidel B., Gote A., Fritzen C.-P. Ohrndorf, A. and Christ H.-J. (2020)
  
  Tibial implant fixation in TKA worth a revision? -How to avoid stress-shielding even for stiff metallic implants. Computer Methods in Biomechanics and Biomedical Engineering, accepted for publication. PDF
- Rizzi G., Collet M., Demore F., Eidel B., Neff P., Madeo A. (2020)
  
  Exploring metamaterials' structures through the relaxed micromorphic model: switching an acoustic screen into an acoustic absorber. (Accepted for publication in in Frontiers in materials)
- Fischer A., Eidel B. (2020)
  
  Error analysis for quadtree-type mesh-coarsening algorithms adapted to pixelized heterogeneous microstructures, Computational Mechanics, 65(6), pp. 1467-1491. PDF, DOI
- Neff P., Eidel B., d’Agostino M.V., Barbagallo G., Ghiba I.-D., Madeo A. (2020)
  
  Identification of scale-independent material parameters in the relaxed micromorphic model through model-adapted first order homogenization, Journal of Elasticity 139, pp. 269-298. PDF, DOI
- d’Agostino M.V., Barbagallo G., Ghiba I.-D., Eidel B., Neff P., Madeo A. (2020)
  
  Effective description of anisotropic wave dispersion in mechanical metamaterials via the relaxed micromorphic model, Journal of Elasticity 139, pp. 299–329. PDF, DOI
- Boddu V., Davydov D., Eidel B., Steinmann P. (2019)
  
  Cutoff-Based Modeling of Coulomb Interactions for Atomistic-to-Continuum Multiscale Methods, Multiscale Science and Engineering, Vol. 1, pp. 299-317. PDF, DOI
- Eidel B., Gote A., Ruby M., Holzer L., Keller L., Jiang X. (2019)
  
  Estimating the effective elasticity properties of a diamond-SiC composite thin film by 3D reconstruction and numerical homogenization, Diamond and Related Materials, Vol. 97, pp. 107406. PDF, DOI
- Eidel B., Gote A., Fritzen C.-P. Ohrndorf, A. and Christ H.-J. (2019)
  
  Towards physiological conditions in total knee arthroplasty by a bionics-inspired tibial implant design.
  Proceedings of Applied Mathematics and Mechanics (PAMM). DOI
- Fischer A., Eidel B. (2019)
  
  Convergence and error analysis of FE-HMM/FE2 for energetically consistent micro-coupling conditions in linear elastic solids, European Journal of Mechanics - A/Solids, Vol. 77, pp. 103735 PDF
- Eidel, B., Fischer, A. (2018)
  
  The heterogeneous multiscale finite element method for the homogenization of linear elastic solids and a comparison with the FE^2 method, Computer Methods in Applied Mechanics and Engineering, Vol. 329, pp. 332-368. PDF, DOI
- Eidel B., Gote A., Ohrndorf, A., Christ H.-J. (2018)
  
  How can a short stem hip implant preserve the natural, pre-surgery force flow? A finite element analysis on a collar cortex compression concept CO^4, Medical Engineering & Physics, Vol. 58, Issue 8, pp 1-12. PDF, DOI
- Martin, R., Münch, I., Eidel, B., Neff, P. (2018)
  
  A brief history of logarithmic strain measures in nonlinear elasticity.
  Proceedings of Applied Mathematics and Mechanics (PAMM),Vol.18, Issue 1, pp.1-2. PDF, DOI
- Eidel, B., Fischer, A., Gote, A. (2018)
  
  A nonlinear FE-HMM formulation along with a novel algorithmic structure for finite deformation elasticity.
  Proceedings of Applied Mathematics and Mechanics (PAMM),Vol.18, Issue 1, pp.1-2.PDF, DOI
- d’Agostino M.V., Madeo A., Barbagallo G., Ghiba I.-D., Eidel B., Neff P. (2018)
  
  Anisotropic wave dispersion and band‐gaps in mechanical metamaterials via the relaxed micromorphic model.
  Proceedings of Applied Mathematics and Mechanics (PAMM),Vol.18, Issue 1, pp.1-2.PDF, DOI
- Gote A., Eidel B. (2017)
  
  Computational inelasticity for loading conditions on multiple time scales by adaptive step size control.
  Proceedings of Applied Mathematics and Mechanics (PAMM),Vol.17, pp.591-592. PDF, DOI
- Neff, P., Eidel, B., Martin, R. (2017)
  
  New thoughts in nonlinear elasticity theory via Hencky's logarithmic strain tensor,
  in: F. dell'Isola, M. Sofonea, D. Steigmann (Eds.): Mathematical Modelling in Solid Mechanics, pp. 165-180, Springer (2017).
- Neff, P., Eidel, B., Martin, R. (2016)
  
  Geometry of logarithmic strain measures in solid mechanics.
  Archive for Rational Mechanics and Analysis, Vol. 222, pp. 507–572. DOI, PDF
- Eidel, B. & Fischer, A. (2016)
  
  The heterogeneous multiscale finite element method FE-HMM for the homogenization of linear elastic solids
  Proceedings of Applied Mathematics and Mechanics(PAMM),Vol.16,Issue-1,pp.521-522. DOI
- Eidel, B. (2015)
  
  On the mechanics of ultralight hollow microlattices.
  Proceedings of Applied Mathematics and Mechanics, Vol. 15, pp. 191-192. DOI
- Didam,S., Eidel, B., Ohrndorf, A., Christ, H.-J. (2015)
  
  Mechanical analysis of metallic SLM-Lattices on small scales: finite element simulations versus experiments.
  Proceedings of Applied Mathematics and Mechanics, Vol. 15, pp. 189-190. DOI
- Neff, P., Eidel, B., Osterbrink, F. & Martin, R. (2014)
  
  A Riemannian approach to strain measures in nonlinear elasticity
  Comptes Rendus Mecanique, Vol. 342, pp. 254–257. DOI, PDF
- Spatschek, R. & Eidel, B. (2013)
  
  Driving forces for interphase kinetics and phase field models
  International Journal of Solids and Structures. Vol. 14-15, pp. 2424-2436. DOI, PDF
- Eidel, B., Tempel-Stumpf, F. & Schröder, J. (2013)
  
  Finite strain viscoelasticity: how to consistently couple discretizations in time and space on quadrature-point level for full order p>=2 and a considerable speed-up
  Computational Mechanics, Vol. 52, pp. 463-483. DOI, PDF
- Neff, P., Eidel, B., Osterbrink, F., Martin, R. (2013)
  
  The Hencky strain energy ||log U||² measures the geodesic distance of the deformation gradient to SO(n) in the canonical left-invariant Riemannien metric on GL(n)
  Proceedings in Applied Mathematics and Mechanics, Vol. 13, pp. 369-370. DOI
- Eidel, B., Stumpf, F. & Schröder, J. (2013)
  
  Algorithmic consistency in computational inelasticity - a conceptual completion
  Proceedings of Applied Mathematics and Mechanics, Vol. 13, pp. 129-130. DOI
- Schröder, J., Eidel, B., Brands, D. & Balzani, D. (2012)
  
  Nano to Micro - Perspectives for Homogenization in Crystalline Solids
  Proceedings of Applied Mathematics and Mechanics. Vol. 12, pp. 19-22. DOI
- Eidel, B. & Kuhn, C. (2012)
  
  Runge-Kutta methods for time integration in computational inelasticity - how to go beyond order 2
  In CD-ROM Proceedings of the 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012), September 10-14, 2012, Vienna, Austria. Publisher: Vienna University of Technology, Austria, ISBN: 978-3-9502481-9-7.
- Eidel, B., Stumpf, F. & Schröder, J. (2012)
  
  Effective, higher-order Runge-Kutta methods for time integration of viscoelastic constitutive models at finite strains
  In 10th World Congress on Computational Mechanics (WCCM2012), July 8-13, 2012, Sao Paulo, Brazil. Minisymposium in honor of the 75th birthday of Prof. J. Tinsley Oden: Innovative Higher Order Discretization Methods.
- Eidel, B. (2011)
  
  Modeling and Numerical Analysis of Inelasticity On and Across Multiple Length Scales
  Habilitation Thesis, University Duisburg-Essen.
- Eidel, B. (2011)
  
  Crystal plasticity finite-element analysis versus experimental results of pyramidal indentation into (001) fcc single crystal
  Acta Materialia. Vol. 59(4), pp. 1761-1771. DOI, PDF
- Eidel, B. & Kuhn, C. (2011)
  
  Order reduction in computational inelasticity: why it happens and how to overcome it - the ODE-case of viscoelasticity
  International Journal for Numerical Methods in Engineering. Vol. 87(11), pp. 1046-1073. DOI, PDF
- Eidel, B., Stukowski, A. & Schröder, J. (2011)
  
  Energy-Minimization in Atomic-to-Continuum Scale-Bridging Methods
  Proceedings in Applied Mathematics and Mechanics. Vol. 11, pp. 509-510. DOI
- Eidel, B., Stukowski, A. & Schröder, J. (2011)
  
  Accelerated energy-minimization in the quasicontinuum method with application to nanopillar compression
  In Proceedings of the XI International Conference on Computational Plasticity (COMPLAS XI)., pp. 360-367.
- Eidel, B., Hartmaier, A. & Gumbsch, P. (2010)
  
  Atomistic simulation methods and their application on fracture
  in: R. Pippan, P. Gumbsch (Eds.): Multiscale Modelling of Plasticity and Fracture by Means of Dislocation Mechanics
  series: CISM International Centre for Mechanical Sciences, Vol. 522, pp. 1-58. Springer. PDF
- Fleck, M., Brener, E., Spatschek, R. & Eidel, B. (2010)
  
  Elastic and plastic effects on solid-state transformations: A phase field study
  International Journal of Materials Research. Vol. 101(4), pp. 462-466. DOI, PDF
- Eidel, B. (2009)
  
  Coupling atomistic accuracy with continuum effectivity for predictive simulations in materials research - the Quasicontinuum Method
  International Journal of Materials Research. Vol. 100(11), pp. 1503-1512. DOI, PDF
- Eidel, B. & Stukowski, A. (2009)
  
  A variational formulation of the quasicontinuum method based on energy sampling in clusters
  Journal of the Mechanics and Physics of Solids. Vol. 57(1), pp. 87-108. DOI, PDF
- Eidel, B. & Schürg, M. (2008)
  
  Pyramidal indentation into fcc single crystals and quasi-isotropic polycrystals: similar phenomena, different driving mechanisms
  Proceedings in Applied Mathematics and Mechanics. Vol. 8, pp. 10543-10544. DOI
- Eidel, B. & Gruttmann, F. (2007)
  
  Squaring the circle - A curious phenomenon of fcc single crystals in spherical microindentation
  Computational Materials Science. Vol. 39(1), pp. 172-178. DOI, PDF
- Eidel, B. & Stukowski, A. (2007)
  
  A novel quasicontinuum method for the seamless transition for atomistic to continuum length scales and its applications to nanoindentation of single- crystalline materials
  Proceedings in Applied Mathematics and Mechanics. Vol. 7, pp. 4080007-4080008. DOI
- Eidel, B. & Stukowski, A. (2007)
  
  Dislocation nucleation and defect structure during nanoindentation: an analysis by means of a novel quasicontinuum method
  In Proceedings of the IX International Conference on Computational Plasticity (COMPLAS IX)., pp. 425-428.
- Fell, C. & Eidel, B. (2007)
  
  A novel class of thermodynamically consistent isotropic hardening rules for some damage models at finite strains
  Proceedings of Applied Mathematics and Mechanics. Vol. 7, pp. 4060025-4060026. DOI
- Kuhn, C. & Eidel, B. (2007)
  
  Time integration of inelastic material models exhibits an order reduction for higher-order methods can this be avoided?
  Proceedings of Applied Mathematics and Mechanics. Vol. 7, pp. 2090019-2090020. DOI
- Stukowski, A. & Eidel, B. (2006)
  
  Atomistic to continuum scale transition for crystalline materials - a comparative study of quasicontinuum approaches
  In Proceedings of the Third International Conference for Multiscale Materials Modelling (MMM), September 18-22., pp. 167-169.
- Eidel, B. & Gruttmann, F. (2005)
  
  Spherical indentation into a fcc single crystal - the squaring of the circle?
  Proceedings in Applied Mathematics and Mechanics. Vol. 5, pp. 265-266. DOI
- Eidel, B. & Gruttmann, F. (2005)
  
  Anisotropic pile-up pattern at spherical indentation in a CMSX-4 single crystal - finite element simulation versus experimental results
  In Proceedings of the Third M.I.T. Conference on Computational Fluid and Solid Mechanics., pp. 246-248. Elsevier.
- Eidel, B. (2004)
  
  Anisotropic Inelasticity - Modelling, Simulation, Validation
  pp. 230pp. PhD Thesis, TU-Darmstadt, Shaker-Verlag. URL
- Eidel, B. & Gruttmann, F. (2003)
  
  Elastoplastic orthotropy at finite strains: multiplicative formulation and numerical implementation
  Computational Materials Science. Vol. 28(3-4), pp. 732-742. DOI, PDF
- Eidel, B. & Gruttmann, F. (2003)
  
  Finite Element Analysis of Anisotropic Structures at Large Inelastic Deformations
  in: K. Hutter, H. Baaser, (Eds.): Deformation and Failure in Metallic Materials
  series: Lecture Notes in Applied and Computational Mechanics Vol. 10, pp 51-78, Springer-Verlag. DOI, PDF
- Eidel, B. & Gruttmann, F. (2003)
  
  On the formulation and finite element implementation of anisotropic multiplicative finite strain elastoplasticity
  Proceedings in Applied Mathematics and Mechanics. Vol. 2, pp. 186-187. DOI
- Eidel, B. & Gruttmann, F. (2003)
  
  On the theory and numerics of orthotropic elastoplasticity at finite plastic strains
  In Proceedings of the Second M.I.T. Conference on Computational Fluid and Solid Mechanics.
- Eidel, B. & Gruttmann, F. (2002)
  
  Finite strain inelasticity for isotropy, a simple and efficient finite element formulation
  Proceedings in Applied Mathematics and Mechanics. Vol. 1, pp. 185-186. URL
- Gruttmann, F. & Eidel, B. (2002)
  
  On the implementation of anisotropic finite strain plasticity
  In Proceedings of the Fifth World Congress on Computational Mechanics (WCCM V), July 7-12, 2002, Vienna, Austria.

Gutachtertätigkeit

Aktualisiert via XIMS am 20.9.2021 von A. Gote

Fakultät IV

PD Dr.-Ing. Bernhard Eidel

Forschung

Lehre

Publikationen

Submitted for publication/preprints:

Publications:

Gutachtertätigkeit