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Apl. Prof. Dr. rer. nat. habil. Robert Martin

Fakultät für Ingenieurwissenschaften

Anschrift
Friedrich-Ebert-Straße 12
47057 Duisburg
Raum
ST 110
Telefon
+49 203 379 3461
E-Mail
robert.martin@uni-due.de
Webseite
https://www.uni-due.de/mfi/martin

Funktionen

  • Wissenschaftliche/r Mitarbeiter/in, Mathematik für Ingenieure

Die folgenden Publikationen sind in der Online-Universitätsbibliographie der Universität Duisburg-Essen verzeichnet. Weitere Informationen finden Sie gegebenenfalls auch auf den persönlichen Webseiten der Person.

    Artikel in Zeitschriften

  • Voss, Leonard; Liedtke, Alfred; Martin, Robert J.
    Differential impedance analysis : Extensions and applications in machine learning
    In: Electrochimica Acta Jg. 500 (2024) 144720
    Online Volltext: dx.doi.org/ (Open Access)
  • Sandt, Marvin D.; Martin, Robert
    Molding Material Reclamation : A Case Study of Manufacturing Process Analysis Using a Causal-Based Graphical Model Approach
    In: International Journal of Metalcasting (2024)
    Online Volltext: dx.doi.org/
  • Chen, Shikun; Kaufmann, Tim; Martin, Robert
    Surrogate gradient methods for data-driven foundry energy consumption optimization
    In: The International Journal of Advanced Manufacturing Technology Jg. 134 (2024) Nr. 3-4, S. 2005 - 2021
    Online Volltext: dx.doi.org/ (Open Access)
  • Shukla, Abhay; Martin, Robert; Probst, Roman; Song, Jian
    Comparison of different statistical methods for prediction of lifetime of electrical connectors with short term tests
    In: Microelectronics Reliability Jg. 150 (2023) 115216
    Online Volltext: dx.doi.org/
  • Lorenz, Maximilian; Martin, Robert J.; Bruecklmayr, Thomas; Donhauser, Christian; Pinzer, Bernd R.
    Neural networks for inline segmentation of image data in punching processes
    In: The International Journal of Advanced Manufacturing Technology Jg. 128 (2023) Nr. 1-2, S. 423 - 436
    Online Volltext: dx.doi.org/ (Open Access)
  • Tonnius, Annika; Martin, Robert
    Relaxation and self-supervised machine learning for the hybrid flow shop assignment problem
    In: Logistics Research Jg. 16 (2023) Nr. 1, 6
    Online Volltext: dx.doi.org/
  • Martin, Robert; Voss, Jendrik; Sander, Oliver; Neff, Patrizio;
    Remarks on rank‐one convexity and quasiconvexity for planar functions with an additive volumetric–isochoric split
    92st Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 15. - 19. August 2023, Aachen,
    In: Proceedings in Applied Mathematics and Mechanics (PAMM) Jg. 22 (2023) Nr. 1, Special Issue: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), e202200185
    Online Volltext: dx.doi.org/ (Open Access)
  • Voss, Jendrik; Ghiba, Ionel-Dumitrel; Martin, Robert; Neff, Patrizio
    A rank-one convex, nonpolyconvex isotropic function on with compact connected sublevel sets
    In: Proceedings of the Royal Society of Edinburgh: Section A: Mathematics Jg. 152 (2022) Nr. 2, S. 356 - 381
    Online Volltext: dx.doi.org/
  • Voss, Jendrik; Martin, Robert; Ghiba, Ionel-Dumitrel; Neff, Patrizio
    Morrey’s Conjecture for the Planar Volumetric-Isochoric Split : Least Rank-One Convex Energy Functions
    In: Journal of Nonlinear Science Jg. 32 (2022) Nr. 5, 76
    Online Volltext: dx.doi.org/ (Open Access)
  • Voss, Jendrik; Martin, Robert; Sander, Oliver; Kumar, Siddhant; Kochmann, Dennis M.; Neff, Patrizio
    Numerical Approaches for Investigating Quasiconvexity in the Context of Morrey’s Conjecture
    In: Journal of Nonlinear Science Jg. 32 (2022) Nr. 6, 77
    Online Volltext: dx.doi.org/ (Open Access)
  • Klein, Dominik K.; Fernández, Mauricio; Martin, Robert; Neff, Patrizio; Weeger, Oliver
    Polyconvex anisotropic hyperelasticity with neural networks
    In: Journal of the Mechanics and Physics of Solids Jg. 159 (2022) 104703
    Online Volltext: dx.doi.org/ (Open Access)
  • Voss, Max Jendrik; Ghiba, Ionel-Dumitrel; Martin, Robert; Neff, Patrizio
    Sharp Rank-One Convexity Conditions in Planar Isotropic Elasticity for the Additive Volumetric-Isochoric Split
    In: Journal of Elasticity Jg. 143 (2021) Nr. 2, S. 301 - 335
    Online Volltext: dx.doi.org/ (Open Access)
  • Schweickert, Eva; Mihai, L. Angela; Martin, Robert; Neff, Patrizio
    A note on non-homogeneous deformations with homogeneous Cauchy stress for a strictly rank-one convex energy in isotropic hyperelasticity
    In: International Journal of Non-Linear Mechanics Jg. 119 (2020) S. 103282
    Online Volltext: dx.doi.org/ (Open Access)
  • Voss, Max Jendrik; Baaser, Herbert; Martin, Robert; Neff, Patrizio
    More on Anti-plane Shear
    In: Journal of Optimization Theory and Applications (JOTA) Jg. 184 (2020) S. 226 - 249
    Online Volltext: dx.doi.org/
  • Martin, Robert; Voss, Max Jendrik; Neff, Patrizio; Ghiba, Ionel-Dumitrel
    Quasiconvex relaxation of isotropic functions in incompressible planar hyperelasticity
    In: Proceedings of the Royal Society of Edinburgh: Section A: Mathematics Jg. 150 (2020) Nr. 5, S. 2620 - 2631
    Online Volltext: dx.doi.org/ (Open Access)
  • Martin, Robert; Voss, Max Jendrik; Ghiba, Ionel-Dumitrel; Sander, Oliver; Neff, Patrizio
    The Quasiconvex Envelope of Conformally Invariant Planar Energy Functions in Isotropic Hyperelasticity
    In: Journal of Nonlinear Science Jg. 30 (2020) Nr. 6, S. 2885 - 2923
    Online Volltext: dx.doi.org/ (Open Access)
  • Neff, Patrizio; Graban, Kai; Schweickert, Eva; Martin, Robert
    The axiomatic introduction of arbitrary strain tensors by Hans Richter – a commented translation of ‘Strain tensor, strain deviator and stress tensor for finite deformations’
    In: Mathematics and Mechanics of Solids (MMS) Jg. 25 (2020) Nr. 5, S. 1060 - 1080
    Online Volltext: dx.doi.org/ Online Volltext (Open Access)
  • Graban, Kai; Schweickert, Eva; Martin, Robert; Neff, Patrizio
    A commented translation of Hans Richter’s early work “The isotropic law of elasticity”
    In: Mathematics and Mechanics of Solids (MMS) Jg. 24 (2019) Nr. 8, S. 2649 - 2660
    Online Volltext: dx.doi.org/ Online Volltext (Open Access)
  • Martin, Robert; Ghiba, Ionel-Dumitrel; Neff, Patrizio
    A polyconvex extension of the logarithmic Hencky strain energy
    In: Analysis and Applications Jg. 17 (2019) Nr. 3, S. 349 - 361
    Online Volltext: dx.doi.org/ (Open Access)
  • Beck, Sascha; Martin, Robert; Patsalis, Theodor; Burggraf, Manuel; Busch, André; Landgraeber, Stefan; Wegner, Alexander
    Determination of humeral inclination in stemless shoulder arthroplasty using plain radiographs
    In: Orthopedic Reviews Jg. 11 (2019) Nr. 4, 8194
    Online Volltext: dx.doi.org/ Online Volltext (Open Access)
  • Thiel, Christian; Voss, Max Jendrik; Martin, Robert; Neff, Patrizio
    Do we need Truesdell's empirical inequalities? : On the coaxiality of stress and stretch
    In: International Journal of Non-Linear Mechanics Jg. 112 (2019) S. 106 - 116
    Online Volltext: dx.doi.org/ (Open Access)
  • Birsan, Mircea; Ghiba, Ionel-Dumitrel; Martin, Robert; Neff, Patrizio
    Refined dimensional reduction for isotropic elastic Cosserat shells with initial curvature
    In: Mathematics and Mechanics of Solids (MMS) Jg. 24 (2019) Nr. 12, S. 4000 - 4019
    Online Volltext: dx.doi.org/ Online Volltext (Open Access)
  • Thiel, Christian; Voss, Max Jendrik; Martin, Robert; Neff, Patrizio
    Shear, pure and simple
    In: International Journal of Non-Linear Mechanics (2019)
    Online Volltext: dx.doi.org/ (Open Access)
  • Nedjar, Boumediene; Baaser, Herbert; Martin, Robert J.; Neff, Patrizio
    A finite element implementation of the isotropic exponentiated Hencky-logarithmic model and simulation of the eversion of elastic tubes
    In: Computational Mechanics Jg. 62 (2018) Nr. 4, S. 635 - 654
    Online Volltext: dx.doi.org/ (Open Access)
  • Martin, Robert J.; Ghiba, Ionel-Dumitrel; Neff, Patrizio
    A non-ellipticity result, or the impossible taming of the logarithmic strain measure
    In: International Journal of Non-Linear Mechanics Jg. 102 (2018) S. 147 - 158
    Online Volltext: dx.doi.org/ (Open Access)
  • Ghiba, Ionel-Dumitrel; Martin, Robert; Neff, Patrizio
    Rank-one convexity implies polyconvexity in isotropic planar incompressible elasticity
    In: Journal de Mathématiques Pures et Appliquées Jg. 116 (2018) S. 88 - 104
    Online Volltext: dx.doi.org/ (Open Access)
  • Martin, Robert; Ghiba, Ionel-Dumitrel; Neff, Patrizio
    Rank-one convexity implies polyconvexity for isotropic, objective and isochoric elastic energies in the two-dimensional case
    In: Proceedings of the Royal Society of Edinburgh: Section A: Mathematics Jg. 147 (2017) Nr. 3, S. 571 - 597
    Online Volltext: dx.doi.org/ (Open Access)
  • Neff, Patrizio; Eidel, Bernhard; Martin, Robert
    Geometry of Logarithmic Strain Measures in Solid Mechanics
    In: Archive for Rational Mechanics and Analysis Jg. 222 (2016) Nr. 2, S. 507 - 572
    Online Volltext: dx.doi.org/ (Open Access)
  • Neff, Patrizio; Martin, Robert; Ghiba, Ionel-Dumitrel;
    Loss of ellipticity in additive logarithmic finite strain plasticity and related results on Hencky-type energies
    Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker‐Vereinigung (DMV), 7 – 11 March 2016, Braunschweig,
    In: Proceedings in Applied Mathematics and Mechanics (PAMM) Jg. 16 (2016) Nr. 1, S. 341 - 342
    Online Volltext: dx.doi.org/
  • Neff, Patrizio; Martin, Robert
    Minimal geodesics on GL(n) for left-invariant, right-O(n)-invariant Riemannian metrics
    In: The Journal of Geometric Mechanics Jg. 8 (2016) Nr. 3, S. 323 - 357
    Online Volltext: dx.doi.org/ (Open Access)
  • Neff, Patrizio; Münch, Ingo; Martin, Robert
    Rediscovering G.F. Becker's early axiomatic deduction of a multiaxial nonlinear stress-strain relation based on logarithmic strain
    In: Mathematics and Mechanics of Solids (MMS) Jg. 21 (2016) Nr. 7, S. 856 - 911
    Online Volltext: dx.doi.org/ (Open Access)
  • Ghiba, Ionel Dumitrel; Neff, Patrizio; Martin, Robert
    An ellipticity domain for the distortional Hencky logarithmic strain energy
    In: Proceedings of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences Jg. 471 (2015) Nr. 2184, S. 20150510
    Online Volltext: dx.doi.org/
  • Martin, Robert J.; Neff, Patrizio
    Some remarks on the monotonicity of primary matrix functions on the set of symmetric matrices
    In: Archive of Applied Mechanics Jg. 85 (2015) Nr. 12, S. 1761 - 1778
    Online Volltext: dx.doi.org/ (Open Access)
  • Neff, Patrizio; Lankeit, Johannes; Ghiba, Dumitrel; Martin, Robert; Steigmann, David
    The exponentiated Hencky-Logarithmic strain energy : Part II: Coercivity, planar polyconvexity and existence of minimizers
    In: Zeitschrift für Angewandte Mathematik und Physik (ZAMP) Jg. 66 (2015) Nr. 4, S. 1671 - 1693
    Online Volltext: dx.doi.org/ (Open Access)
  • Neff, Patrizio; Eidel, Bernhard; Osterbrink, Frank; Martin, Robert
    A Riemannian approach to strain measures in nonlinear elasticity
    In: Comptes Rendus Mecanique Jg. 342 (2014) Nr. 4, S. 254 - 257
    Online Volltext: dx.doi.org/
  • Neff, Patrizio; Eidel, Bernhard; Osterbrink, Frank; Martin, Robert
    The Hencky strain energy ‖log U‖2 measures the geodesic distance of the deformation gradient to SO(n) in the canonical left-invariant Riemannian metric on GL(n)
    In: Proceedings in Applied Mathematics and Mechanics (PAMM) Jg. 13 (2013) Nr. 1, Special Issue: 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad 2013, S. 369 - 370
    Online Volltext: dx.doi.org/

    • Preprints

  • Neff, Patrizio; Martin, Robert; Eidel, Bernhard
    The axiomatic deduction of the quadratic Hencky strain energy by Heinrich Hencky
    (2014) 27 Seiten
    (Open Access)

    • Beiträge in Sammelwerken und Tagungsbänden

  • Menger, Robert; Ohler-Martins, Karla; Lemette, Amanda; Martin, Robert
    Automatic classification of files based on the classes of IEC 61355
    In: AI in Business and Economics / Lausberg, Isabel; Vogelsang, Michael (Hrsg.) 2024, S. 31 - 41
    Online Volltext: dx.doi.org/
  • Overhagen, Christian; Martin, Robert
    Roll pass design for round and square sections using an informed artificial neural network
    In: Proceedings of the 20th International Conference on Metal Forming 2024 / 20th International Conference on Metal Forming 2024; 15 - 18 September 2024; Krakow, Poland 2024, S. 444 - 455
    Online Volltext: dx.doi.org/ (Open Access)
  • Martin, Robert; Liebherr, Magnus; Boumann, Roland; Schweig, Stephan; Kracht, Frédéric Etienne; Schramm, Dieter
    Digital, Online, Take-Home - University Students' Attitude towards Different Examination Formats
    In: 2022 IEEE German Education Conference, GeCon 2022 / 2022 IEEE German Education Conference (GeCon), 11-12 August 2022, Berlin, Germany / Institute of Electrical and Electronics Engineers (Hrsg.) 2022
    Online Volltext: dx.doi.org/
  • Baaser, Herbert; Nedjar, Boumedienne; Martin, Robert; Neff, Patrizio
    Eversion of tubes : Comparison of material models
    In: Constitutive Models for Rubber X: Proceedings of the 10th European Conference on Constitutive Models for Rubbers X / ECCMR X 2017; Munich; Germany; 28 - 31 August 2017 2017, S. 109 - 113
    Online Volltext: dx.doi.org/
  • Neff, Patrizio; Martin, Robert; Eidel, Bernhard
    New thoughts in nonlinear elasticity theory via Hencky’s logarithmic strain tensor
    In: Mathematical Modelling in Solid Mechanics / International Conference on Emerging Trends in Applied Mathematics and Mechanics, ETAMM 2016; Perpignan; France; 30 May 2016 through 3 June 2016 / dell'Isola, Francesco; Sofonea, Mircea; Steigmann, David (Hrsg.) 2017, S. 165 - 180
    Online Volltext: dx.doi.org/

    • Bücher/Sammelwerke/Tagungsbände

  • Martin, Robert
    Generalized convexity of functions and relaxation in nonlinear elasticity theory
    Duisburg ; Essen (2019) 270 Seiten

    • Dissertation

  • Martin, Robert;
    Logarithmic strain and its role in nonlinear elasticity
    Duisburg ; Essen (2016) iii, 189 Seiten