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Fakultät für Mathematik
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Thea-Leymann-Str. 9
45127 Essen
45127 Essen
Raum
WSC-W-4.15
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Wiss. Mitarbeiterinnen/Mitarbeiter, Personal FB Mathematik, Campus Essen
Fakultät für Mathematik
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---, Mathematik
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apl. Professor/in, Mathematik
Aktuelle Veranstaltungen
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WiSe 2025
Vergangene Veranstaltungen (max. 10)
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SoSe 2025
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WiSe 2024
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.
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Necessary Conditions for Energy Minimizers in the Nonlinear Theory of Six-Parameter Elastic ShellsIn: Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications, Jg. 17, 2025, Nr. 1, S. 107 – 142DOI (Open Access)
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Necessary conditions for stable equilibrium states of lattice solids based on the Cosserat elasticity theoryIn: Mechanics of Materials, Jg. 204, 2025, Nr. 5, 105292
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On the Maxwell–Eshelby relation in the theory of 6-parameter elastic shellsIn: Mechanics Research Communications, Jg. 148, 2025, 104451DOI (Open Access)
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Quasiconvexity and Rank-One Convexity Conditions in the Nonlinear Theory of Elastic ShellsIn: Journal of Elasticity, Jg. 157, 2025, Nr. 2, 38DOI (Open Access)
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Quasiconvexity in a model of fiber-reinforced solids based on Cosserat elasticity theoryIn: Mathematics and Mechanics of Solids (MMS), Jg. 30, 2025, Nr. 2, S. 372 – 380DOI, Online Volltext (Open Access)
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The coupled Legendre-Hadamard condition for fiber-reinforced materials : three-dimensional solids and two-dimensional shellsIn: Continuum Mechanics and Thermodynamics, Jg. 37, 2025, Nr. 2, 26DOI (Open Access)
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Convexity conditions for fiber-reinforced elastic shellsIn: Mathematics and Mechanics of Solids (MMS), 2024, in press
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A Linear Isotropic Cosserat Shell Model Including Terms up to O(h⁵) : Existence and UniquenessIn: Journal of Elasticity, Jg. 154, 2023, Nr. 1-4, S. 579 – 605DOI, Online Volltext (Open Access)
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A geometrically nonlinear Cosserat shell model for orientable and non-orientable surfaces : Discretization with geometric finite elementsIn: Computer Methods in Applied Mechanics and Engineering, Jg. 416, 2023, 116309DOI, Online Volltext (Open Access)
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Derivation of an elastic shell model of order hⁿ as n tends to infinityIn: Mathematics and Mechanics of Solids (MMS), Jg. 28, 2023, Nr. 9, S. 2075 – 2107DOI (Open Access)
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Existence results for the higher order linear Cosserat shell modelIn: Proceedings in Applied Mathematics and Mechanics (PAMM), Jg. 22, 2023, Nr. 1, e202200030DOI (Open Access)
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Legendre–Hadamard conditions for fiber-reinforced materials with one, two or three families of fibersIn: Mechanics of Materials, Jg. 184, 2023, 104745
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On the equilibrium equations of linear 6-parameter elastic shellsIn: Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications, Jg. 15, 2023, Nr. 1-2, S. 94 – 118DOI (Open Access)
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Thin shells reinforced by fibers with intrinsic flexural and torsional elasticityIn: International Journal of Solids and Structures, Jg. 285, 2023, 112550DOI (Open Access)
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A Constrained Cosserat Shell Model up to Order O(h⁵) : Modelling, Existence of Minimizers, Relations to Classical Shell Models and Scaling Invariance of the Bending TensorIn: Journal of Elasticity, Jg. 146, 2021, Nr. 1, S. 83 – 141DOI, Online Volltext (Open Access)
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Alternative derivation of the higher-order constitutive model for six-parameter elastic shellsIn: Zeitschrift für Angewandte Mathematik und Physik (ZAMP), Jg. 72, 2021, Nr. 2, 50DOI (Open Access)
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Determination of effective stiffness properties of multilayered composite beamsIn: Continuum Mechanics and Thermodynamics, Jg. 33, 2021, Nr. 4: A Life devoted to Advances in Continuum Mechanics of Material and Structural Behavior, S. 1781 – 1803DOI (Open Access)
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Closed-Form Saint-Venant Solutions in the Koiter Theory of ShellsIn: Journal of Elasticity, Jg. 140, 2020, Nr. 1, S. 149 – 169DOI (Open Access)
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Derivation of a refined six-parameter shell model : descent from the three-dimensional Cosserat elasticity using a method of classical shell theoryIn: Mathematics and Mechanics of Solids (MMS), Jg. 25, 2020, Nr. 6, S. 1318 – 1339DOI, Online Volltext (Open Access)
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The Isotropic Cosserat Shell Model Including Terms up to O(h⁵) : Part II: Existence of MinimizersIn: Journal of Elasticity, Jg. 142, 2020, Nr. 2, S. 263 – 290DOI, Online Volltext (Open Access)
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The Isotropic Cosserat Shell Model Including Terms up to O(h⁵). : Part I: Derivation in Matrix NotationIn: Journal of Elasticity, Jg. 142, 2020, Nr. 2, S. 201 – 262DOI, Online Volltext (Open Access)
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Refined dimensional reduction for isotropic elastic Cosserat shells with initial curvatureIn: Mathematics and Mechanics of Solids (MMS), Jg. 24, 2019, Nr. 12, S. 4000 – 4019DOI, Online Volltext (Open Access)
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Numerical treatment of a geometrically nonlinear planar Cosserat shell modelIn: Computational Mechanics, Jg. 57, 2016, Nr. 5, S. 817 – 841DOI, Online Volltext (Open Access)
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Existence theorem for geometrically nonlinear cosserat micropolar model under uniform convexity requirementsIn: Journal of Elasticity, Jg. 121, 2015, Nr. 1, S. 119 – 141DOI, Online Volltext (Open Access)
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Multilayered and FGM structural elements under mechanical and thermal loads : Part I: Comparison of finite elements and analytical modelsIn: Archives of Civil and Mechanical Engineering (ACME), Jg. 15, 2015, Nr. 4, S. 1180 – 1192
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Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotationsIn: Mathematics and Mechanics of Solids (MMS), Jg. 19, 2014, Nr. 4, S. 376 – 397DOI, Online Volltext (Open Access)
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Shells without drilling rotations: A representation theorem in the framework of the geometrically nonlinear 6-parameter resultant shell theoryIn: International Journal of Engineering Science, Jg. 80, 2014, S. 32 – 42
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Existence theorems in the geometrically non-linear 6-parameter theory of elastic platesIn: Journal of Elasticity, Jg. 112, 2013, Nr. 2, S. 185 – 198
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Mechanical behavior of sandwich composite beams made of foams and functionally graded materialsIn: International Journal of Solids and Structures, Jg. 50, 2013, Nr. 3/4, S. 519 – 530
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On the Cosserat model for thin rods made of thermoelastic materials with voidsIn: Discrete and Continuous Dynamical Systems. Series S (DCDS-S), Jg. 6, 2013, Nr. 6, S. 1473 – 1485
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Sum of squared logarithms : an inequality relating positive definite matrices and their matrix logarithmIn: Journal of Inequalities and Applications, Jg. 2013, 2013, S. 168DOI (Open Access)
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Thermoelastic deformations of cylindrical multi-layered shells using a direct approachIn: Journal of Thermal Stresses, Jg. 36, 2013, S. 749 – 789
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Deformation analysis of functionally graded beams by the direct approachIn: Composites Part B: Engineering, Jg. 43, 2012, Nr. 3, S. 1315 – 1328
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On a thermodynamic theory of rods with two temperature fieldsIn: Acta Mechanica, Jg. 223, 2012, Nr. 8, S. 1583 – 1596
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On the equations of geometrically nonlinear elastic plates with rotational degrees of freedomIn: Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications, Jg. 4, 2012, Nr. 1, S. 97 – 103
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The Korn-type inequality in a Cosserat model for thin thermoelastic porous rodsIn: Meccanica, Jg. 47, 2012, Nr. 3, S. 789 – 794
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On the dynamical theory of thermoelastic simple shellsIn: ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik, Jg. 91, 2011, Nr. 6, S. 443 – 457
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On the theory of porous elastic rodsIn: International Journal of Solids and Structures, Jg. 48, 2011, Nr. 6, S. 910 – 924
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Theory of thin thermoelastic rods made of porous materialsIn: Archive of Applied Mechanics, Jg. 81, 2011, Nr. 10, S. 1365 – 1391
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A mathematical study of the linear theory for orthotropic elastic simple shellsIn: Mathematical Methods in the Applied Sciences, Jg. 33, 2010, Nr. 12, S. 1399 – 1413
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Thermal stresses in anisotropic cylindrical elastic shellsIn: Mathematical Methods in the Applied Sciences, Jg. 33, 2010, Nr. 6, S. 799 – 810
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On Saint-Venant's problem for anisotropic, inhomogeneous, cylindrical Cosserat elastic shellsIn: International Journal of Engineering Science, Jg. 47, 2009, Nr. 1, S. 21 – 38
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On the problems of Almansi and Michell for anisotropic Cosserat elastic shellsIn: Archives of Mechanics, Jg. 61, 2009, Nr. 3 - 4, S. 195 – 227
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Thermal stresses in cylindrical Cosserat elastic shellsIn: European Journal of Mechanics A/Solids, Jg. 28, 2009, Nr. 1, S. 94 – 101
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Inequalities of Korn's type and existence results in the theory of Cosserat elastic shellsIn: Journal of Elasticity, Jg. 90, 2008, Nr. 3, S. 227 – 239
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On the dynamic deformation of porous Cosserat linear-thermoelastic shellsIn: ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik, Jg. 88, 2008, Nr. 1, S. 74 – 77
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On Saint-Venant's principle in the theory of Cosserat elastic shellsIn: International journal of engineering science : IJES, Jg. 45, 2007, Nr. 2 - 8, S. 187 – 198
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On the bending equations for elastic plates with voidsIn: Mathematics and Mechanics of Solids (MMS), Jg. 12, 2007, Nr. 1, S. 40 – 57
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On the theory of loaded general cylindrical Cosserat elastic shellsIn: International Journal of Solids and Structures, Jg. 44, 2007, Nr. 22 - 23, S. 7399 – 7419
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On a thermodynamic theory of porous Cosserat elastic shellsIn: Journal of Thermal Stresses, Jg. 29, 2006, Nr. 9, S. 879 – 899
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On the theory of elastic shells made from a material with voidsIn: International Journal of Solids and Structures, Jg. 43, 2006, Nr. 10, S. 3106 – 3123
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Several results in the dynamic theory of thermoelastic Cosserat shells with voidsIn: Mechanics Research Communications, Jg. 33, 2006, Nr. 2, S. 157 – 176
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Minimum energy characterizations for the solution of Saint-Venant’s problem in the theory of shellsIn: Journal of Elasticity, Jg. 81, 2005, Nr. 2, S. 179 – 204
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Saint-Venant’s problem for Cosserat shells with voidsIn: International Journal of Solids and Structures, Jg. 42, 2005, Nr. 7, S. 2033 – 2057
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The solution of Saint-Venant’s problem in the theory of Cosserat shellsIn: Journal of Elasticity, Jg. 74, 2004, Nr. 3, S. 185 – 214
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A bending theory of porous thermoelastic platesIn: Journal of Thermal Stresses, Jg. 26, 2003, Nr. 1, S. 67 – 90
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PrefaceIn: Lecture Notes on the Theory of Plates and Shells: Classical and Modern Developments / Steigmann, David J.; Birsan, Mircea; Shirani, Milad (Hrsg.). Cham: Springer Science and Business Media B.V., 2023, S. v – vi
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A Cosserat Model for Fiber-Reinforced Elastic PlatesIn: Sixty Shades of Generalized Continua / Altenbach, Holm; Berezovski, Arkadi; dell'Isola, Francesco; Porubov, Alexey (Hrsg.). Berlin: Springer Science and Business Media Deutschland GmbH, 2023, S. 663 – 686
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Buckling of Elastic PlatesIn: Lecture Notes on the Theory of Plates and Shells: Classical and Modern Developments / Steigmann, David J.; Birsan, Mircea; Shirani, Milad (Hrsg.). Cham: Springer Science and Business Media B.V., 2023, S. 207 – 229
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Hyperelastic Solids : Purely Mechanical TheoryIn: Lecture Notes on the Theory of Plates and Shells: Classical and Modern Developments / Steigmann, David J.; Birsan, Mircea; Milad, Shirani (Hrsg.). Cham: Springer Science and Business Media B.V., 2023, S. 61 – 76
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Linear Shell TheoryIn: Linear Shell Theory: Classical and Modern Developments / Steigmann, David J.; Birsan, Mircea; Shirani, Milad (Hrsg.). Cham: Springer Science and Business Media B.V., 2023, S. 109 – 167
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Linearly Elastic PlatesIn: Lecture Notes on the Theory of Plates and Shells: Classical and Modern Developments / Steigmann, David J.; Birsan, Mircea; Shirani, Milad (Hrsg.). Cham: Springer Science and Business Media B.V., Jg. 274, 2023, S. 77 – 108
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Local Geometry of DeformationIn: Lecture Notes on the Theory of Plates and Shells: Classical and Modern Developments / Steigmann, David J.; Birsan, Mircea; Shirani, Milad (Hrsg.). Cham: Springer Science and Business Media B.V., 2023, S. 23 – 59
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Nonlinear Equations for Plates and ShellsIn: Lecture Notes on the Theory of Plates and Shells: Classical and Modern Developments / Steigmann, David J.; Birsan, Mircea; Shirani, Milad (Hrsg.). Cham: Springer Science and Business Media B.V., 2023, S. 169 – 205
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On the Coercivity of Strain Energy Functions in Generalized Models of 6-Parameter ShellsIn: Sixty Shades of Generalized Continua: Dedicated to the 60th Birthday of Prof. Victor A. Eremeyev / Altenbach, Holm; Berezovski, Arkadi; dell'Isola, Francesco; Porubov, Alexey (Hrsg.). Berlin: Springer, 2023, S. 63 – 90
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Saint-Venant Problem for General Cylindrical ShellsIn: Lecture Notes on the Theory of Plates and Shells: Classical and Modern Developments / Steigmann, David J.; Birsan, Mircea; Shirani, Milad (Hrsg.). Cham: Springer Science and Business Media B.V., 2023, S. 231 – 252
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Tensor Analysis in Euclidean Space Using Curvilinear CoordinatesIn: Lecture Notes on the Theory of Plates and Shells: Classical and Modern Developments / Steigmann, David J.; Birsan, Mircea; Shirani, Milad (Hrsg.). Cham: Springer Science and Business Media B.V., 2023, S. 1 – 22
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Analysis of the deformation of cosserat elastic shells using the dislocation density tensorIn: 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 Verlag, 2017, S. 13 – 30
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On the dislocation density tensor in the Cosserat theory of elastic shellsIn: Advanced methods of continuum mechanics for materials and structures / Naumenko, Konstantin; Aßmus, Marcus (Hrsg.). Singapore: Springer, 2016, S. 391 – 413DOI, Online Volltext (Open Access)
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Cylindrical Elastic Bodies with Directors, Thermal StressesIn: Encyclopedia of Thermal Stresses / Hetnarski, Richard B. (Hrsg.). Dordrecht: Springer Science+Business Media, 2014, S. 837 – 845DOI (Open Access)
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Cylindrical Orthotropic Thermoelastic Shells Modeled by Direct ApproachIn: Encyclopedia of Thermal Stresses / Hetnarski, Richard B. (Hrsg.). Dordrecht: Springer Science+Business Media, 2014, S. 845 – 858DOI (Open Access)
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On the characterization of drilling rotation in the 6-parameter resultant shell theoryIn: Shell Structures: Theory and Applications: Proceedings of the 10th SSTA 2013 Conference / 10th SSTA Conference, Gdansk, Poland 16. - 18. October 2013 / Pietraszkiewicz, Wojciech (Hrsg.). Boca Raton: CRC Press, Jg. 3, 2014, S. 61 – 64DOI, Online Volltext (Open Access)
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Saint-Venant’s Problem for Cosserat Elastic ShellsIn: Encyclopedia of Thermal Stresses / Hetnarski, Richard B. (Hrsg.). Dordrecht: Springer Science+Business Media, 2014, S. 4264 – 4273DOI (Open Access)
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Cosserat-type rodsIn: Generalized continua from the theory to engineering applications / Altenbach, Holm; Eremeyev, Victor A. (Hrsg.). Wien: Springer, 2013, S. 179 – 248
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Analysis of the deformation of multi-layered orthotropic cylindrical elastic shells using the direct approachIn: Shell-like Structures: Non-classical Theories and Applications / Altenbach, Holm; Eremeyev, Victor A. (Hrsg.). Berlin: Springer, 2011, S. 29 – 52
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Continuous dependence and instability in the linear theory of elastic shellsIn: Shell structures: theory and applications ; volume 2 ; proceedings of the 9th SSTA Conference / SSTA Conference ; Conference Shell Structures: Theory and Applications ; Gdańsk - Jurata, Poland, 14 - 16 October 2009 / Pietraszkiewicz, Wojciech; Kreja, Ireneusz (Hrsg.). Boca Raton [u.a.]: CRC Press, Taylor & Francis Group, 2010, S. 55 – 58
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On a problem of thermal stresses in the theory of Cosserat elastic shells with voidsIn: IUTAM Symposium on Relations of Shell Plate Beam and 3D Models: Proceedings of the IUTAM Symposium on the Relations of Shell, Plate, Beam, and 3D Models, Dedicated to the Centenary of Ilia Vekua’s Birth, held in Tbilisi, Georgia, April 23-27, 2007 / IUTAM Symposium on Relations of Shell, Plate, Beam and 3D Models / Jaiani, George; Podio-Guidugli, Paolo (Hrsg.). Dordrecht: Springer, 2008, S. 67 – 76
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On the use of Korn's type inequalities in the existence theory for Cosserat elastic surfaces with voidsIn: Applied analysis and differntial equations / International Conference of Applied Analysis and Differential Equations ; Iaşi, Romania, September 4-9, 2006 / Cârjă, Ovidiu; Vrabie, Ioan I. (Hrsg.). Singapore [u. a.]: World Scientific, 2007, S. 11 – 20
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Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations2013
(Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 761) -
Sum of squared logarithms : an inequality relating positive definite matrices and their matrix logarithm2013
(Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 762) -
Existence theorems in the geometrically non-linear 6-parametric theory of elastic plates2012
(Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 754) -
Presentation: On the dislocation density tensor in the Cosserat theory of elastic shells
Emerging trends in applied mathematics and mechanics, ETAMM 2016, May 30 - June 3, 2016, Perpignan, France,2016