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Fakultät für Mathematik
Anschrift
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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2024 WS
Vergangene Veranstaltungen (max. 10)
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2024 SS
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2023 WS
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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Convexity conditions for fiber-reinforced elastic shellsIn: Mathematics and Mechanics of Solids (MMS) (2024) in pressOnline Volltext: dx.doi.org/
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Quasiconvexity in a model of fiber-reinforced solids based on Cosserat elasticity theoryIn: Mathematics and Mechanics of Solids (MMS) (2024) in pressOnline Volltext: dx.doi.org/
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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 - 605Online Volltext: dx.doi.org/ (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) 116309Online Volltext: dx.doi.org/ (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 - 2107Online Volltext: dx.doi.org/ (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, e202200030Online Volltext: dx.doi.org/ (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) 104745Online Volltext: dx.doi.org/
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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 - 118
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Thin shells reinforced by fibers with intrinsic flexural and torsional elasticityIn: International Journal of Solids and Structures Jg. 285 (2023) 112550Online Volltext: dx.doi.org/ (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 - 141Online Volltext: dx.doi.org/ (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, 50Online Volltext: dx.doi.org/ (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 - 1803Online Volltext: dx.doi.org/ (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 - 169Online Volltext: dx.doi.org/ (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 - 1339Online Volltext: dx.doi.org/ 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 - 290Online Volltext: dx.doi.org/ (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 - 262Online Volltext: dx.doi.org/ (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 - 4019Online Volltext: dx.doi.org/ 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 - 841Online Volltext: dx.doi.org/ (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 - 141Online Volltext: dx.doi.org/ (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 - 1192Online Volltext: dx.doi.org/
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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 - 397Online Volltext: dx.doi.org/ (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 - 42Online Volltext: dx.doi.org/
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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 - 198Online Volltext: dx.doi.org/
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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 - 530Online Volltext: dx.doi.org/
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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 - 1485Online Volltext: dx.doi.org/
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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. 168Online Volltext: dx.doi.org/ (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 - 789Online Volltext: dx.doi.org/ Online Volltext
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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 - 1328Online Volltext: dx.doi.org/
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On a thermodynamic theory of rods with two temperature fieldsIn: Acta Mechanica Jg. 223 (2012) Nr. 8, S. 1583 - 1596Online Volltext: dx.doi.org/
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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 - 794Online Volltext: dx.doi.org/
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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 - 457Online Volltext: dx.doi.org/
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On the theory of porous elastic rodsIn: International Journal of Solids and Structures Jg. 48 (2011) Nr. 6, S. 910 - 924Online Volltext: dx.doi.org/
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Theory of thin thermoelastic rods made of porous materialsIn: Archive of Applied Mechanics Jg. 81 (2011) Nr. 10, S. 1365 - 1391Online Volltext: dx.doi.org/
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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 - 1413Online Volltext: dx.doi.org/
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Thermal stresses in anisotropic cylindrical elastic shellsIn: Mathematical Methods in the Applied Sciences Jg. 33 (2010) Nr. 6, S. 799 - 810Online Volltext: dx.doi.org/
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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 - 38Online Volltext: dx.doi.org/
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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 - 101Online Volltext: dx.doi.org/
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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 - 239Online Volltext: dx.doi.org/
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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 - 198Online Volltext: dx.doi.org/
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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 - 57Online Volltext: dx.doi.org/
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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 - 7419Online Volltext: dx.doi.org/
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On a thermodynamic theory of porous Cosserat elastic shellsIn: Journal of Thermal Stresses Jg. 29 (2006) Nr. 9, S. 879 - 899Online Volltext: dx.doi.org/
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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 - 3123Online Volltext: dx.doi.org/
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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 - 176Online Volltext: dx.doi.org/
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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 - 204Online Volltext: dx.doi.org/
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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 - 2057Online Volltext: dx.doi.org/
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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 - 214Online Volltext: dx.doi.org/
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A bending theory of porous thermoelastic platesIn: Journal of Thermal Stresses Jg. 26 (2003) Nr. 1, S. 67 - 90Online Volltext: dx.doi.org/
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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.) (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.) 2023, S. 663 - 686Online Volltext: dx.doi.org/
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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.) 2023, S. 207 - 229Online Volltext: dx.doi.org/
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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.) 2023, S. 61 - 76Online Volltext: dx.doi.org/
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Linear Shell TheoryIn: Linear Shell Theory: Classical and Modern Developments / Steigmann, David J.; Birsan, Mircea; Shirani, Milad (Hrsg.) 2023, S. 109 - 167Online Volltext: dx.doi.org/
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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.) Jg. 274 2023, S. 77 - 108Online Volltext: dx.doi.org/
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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.) 2023, S. 23 - 59Online Volltext: dx.doi.org/
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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.) 2023, S. 169 - 205Online Volltext: dx.doi.org/
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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.) 2023, S. 63 - 90Online Volltext: dx.doi.org/
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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.) 2023, S. 231 - 252Online Volltext: dx.doi.org/
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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.) 2023, S. 1 - 22Online Volltext: dx.doi.org/
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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.) 2017, S. 13 - 30Online Volltext: dx.doi.org/
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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.) 2016, S. 391 - 413Online Volltext: dx.doi.org/ Online Volltext (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.) Jg. 3 2014, S. 61 - 64Online Volltext: dx.doi.org/ (Open Access)
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Cosserat-type rodsIn: Generalized continua from the theory to engineering applications / Altenbach, Holm; Eremeyev, Victor A. (Hrsg.) 2013, S. 179 - 248Online Volltext: dx.doi.org/
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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.) 2011, S. 29 - 52Online Volltext: dx.doi.org/
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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.) 2010, S. 55 - 58Online Volltext: dx.doi.org/
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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.) 2008, S. 67 - 76Online Volltext: dx.doi.org/
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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.) 2007, S. 11 - 20
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Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotationsIn: Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen Jg. 761 (2013) 31 S.
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Sum of squared logarithms : an inequality relating positive definite matrices and their matrix logarithmIn: Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen Jg. 762 (2013) 16 S.
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Existence theorems in the geometrically non-linear 6-parametric theory of elastic platesIn: Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen Jg. 754 (2012) 19 S.
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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)Online Volltext: dx.doi.org/