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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

  • d’Agostino, Marco Valerio; Holthausen, Sebastian; Bernardini, Davide; Sky, Adam; Ghiba, Ionel-Dumitrel; Martin, Robert J.; Neff, Patrizio
    A Constitutive Condition for Idealized Isotropic Cauchy Elasticity Involving the Logarithmic Strain
    In: Journal of Elasticity, Jg. 157, 2025, Nr. 1, 23
    DOI, Online Volltext (Open Access)
  • Neff, Patrizio; Holthausen, Sebastian; Korobeynikov, Sergey N.; Ghiba, Ionel-Dumitrel; Martin, Robert J.
    A natural requirement for objective corotational rates : On structure-preserving corotational rates
    In: Acta Mechanica, Jg. 236, 2025, Nr. 4, S. 2657 – 2689
    DOI (Open Access)
  • Zhang, Jinlong; Chen, Shikun; Martin, Robert J.; Liu, Baochang; Zhang, Ruixiong; Xiao, Dengbao
    Conditional diffusion models for the inverse design of lattice structures
    In: Structural and Multidisciplinary Optimization, Jg. 68, 2025, Nr. 3, 58
    DOI
  • Disselhoff, Torben; Martin, Robert
    Data-Driven Early Quality Prediction in High Pressure Die Casting
    In: International Journal of Metalcasting, 2025, in press
    DOI (Open Access)
  • Neff, Patrizio; Holthausen, Sebastian; d'Agostino, Marco Valerio; Bernardini, Davide; Sky, Adam; Ghiba, Ionel-Dumitrel; Martin, Robert J.; d’Agostino, Marco Valerio
    Hypo-elasticity, Cauchy-elasticity, corotational stability and monotonicity in the logarithmic strain
    In: Journal of the Mechanics and Physics of Solids, Jg. 202, 2025, 106074
    DOI (Open Access)
  • Sandt, Marvin D.; Martin, Robert J.
    Molding Material Reclamation : A Case Study of Manufacturing Process Analysis Using a Causal-Based Graphical Model Approach
    In: International Journal of Metalcasting, Jg. 19, 2025, Nr. 2, S. 905 – 916
    DOI
  • d’Agostino, Marco Valerio; Martin, Robert; Lewintan, Peter; Bernardini, Davide; Danescu, Alexandre; Neff, Patrizio
    On the representation of fourth- and higher-order anisotropic elasticity tensors in generalized continuum models
    In: Mathematics and Mechanics of Solids (MMS), Jg. 30, 2025, Nr. 8, S. 1789 – 1849
    DOI, Online Volltext (Open Access)
  • Voss, Leonard; Liedtke, Alfred; Martin, Robert J.
    Differential impedance analysis : Extensions and applications in machine learning
    In: Electrochimica Acta, Jg. 500, 2024, 144720
    DOI (Open Access)
  • 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
    DOI (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
    DOI
  • 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
    DOI (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
    DOI
  • 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
    DOI (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
    DOI
  • 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
    DOI (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
    DOI (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
    DOI, Online Volltext (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
    DOI (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
    DOI, Online Volltext (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
    DOI
  • 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
    DOI (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
    DOI (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
    DOI, 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
    DOI, 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
    DOI, Online Volltext (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
    DOI, 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
    DOI, Online Volltext (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
    DOI, 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
    DOI, Online Volltext (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
    DOI, Online Volltext (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
    DOI, Online Volltext (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
    DOI, Online Volltext (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
    DOI, Online Volltext (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
    DOI (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
    DOI
  • 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
    DOI, Online Volltext (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
    DOI, Online Volltext (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
    DOI
  • 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
    DOI, Online Volltext (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
    DOI, Online Volltext (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
    DOI
  • 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
    DOI

    • Preprints

  • Neff, Patrizio; Martin, Robert; Eidel, Bernhard
    The axiomatic deduction of the quadratic Hencky strain energy by Heinrich Hencky
    2014
    Online Volltext (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.). Berlin: De Gruyter, 2024, S. 31 – 41
    DOI
  • 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. Millersville: Association of American Publishers, 2024, S. 444 – 455
    DOI (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.). Piscataway: Institute of Electrical and Electronics Engineers Inc., 2022
    DOI, Online Volltext
  • 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. London: CRC Press/Balkema, 2017, S. 109 – 113
    DOI
  • 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.). Berlin: Springer, 2017, S. 165 – 180
    DOI

    • Bücher/Sammelwerke/Tagungsbände

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

    • Dissertation

  • Martin, Robert
    Logarithmic strain and its role in nonlinear elasticity
    Duisburg ; Essen, 2016