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Fakultät für Mathematik

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Thea-Leymann-Str. 9
45127 Essen
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WSC-W-4.15
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Funktionen

  • Wiss. Mitarbeiterinnen/Mitarbeiter, Personal FB Mathematik, Campus Essen


    Fakultät für Mathematik

  • ---, Mathematik


  • apl. Professor/in, Mathematik

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

  • Birsan, Mircea
    Necessary Conditions for Energy Minimizers in the Nonlinear Theory of Six-Parameter Elastic Shells
    In: Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications, Jg. 17, 2025, Nr. 1, S. 107 – 142
  • Shirani, Milad; Birsan, Mircea
    Necessary conditions for stable equilibrium states of lattice solids based on the Cosserat elasticity theory
    In: Mechanics of Materials, Jg. 204, 2025, Nr. 5, 105292
  • Birsan, Mircea; Shirani, Milad
    On the Maxwell–Eshelby relation in the theory of 6-parameter elastic shells
    In: Mechanics Research Communications, Jg. 148, 2025, 104451
  • Bîrsan, Mircea
    Quasiconvexity and Rank-One Convexity Conditions in the Nonlinear Theory of Elastic Shells
    In: Journal of Elasticity, Jg. 157, 2025, Nr. 2, 38
  • Shirani, Milad; Bîrsan, Mircea; Steigmann, David J
    Quasiconvexity in a model of fiber-reinforced solids based on Cosserat elasticity theory
    In: Mathematics and Mechanics of Solids (MMS), Jg. 30, 2025, Nr. 2, S. 372 – 380
  • Birsan, Mircea; Shirani, Milad; Steigmann, David J.
    The coupled Legendre-Hadamard condition for fiber-reinforced materials : three-dimensional solids and two-dimensional shells
    In: Continuum Mechanics and Thermodynamics, Jg. 37, 2025, Nr. 2, 26
  • Bîrsan, Mircea; Shirani, Milad; Steigmann, David J
    Convexity conditions for fiber-reinforced elastic shells
    In: Mathematics and Mechanics of Solids (MMS), 2024, in press
  • Ghiba, Ionel-Dumitrel; Birsan, Mircea; Neff, Patrizio
    A Linear Isotropic Cosserat Shell Model Including Terms up to O(h⁵) : Existence and Uniqueness
    In: Journal of Elasticity, Jg. 154, 2023, Nr. 1-4, S. 579 – 605
  • Nebel, Lisa Julia; Sander, Oliver; Birsan, Mircea; Neff, Patrizio
    A geometrically nonlinear Cosserat shell model for orientable and non-orientable surfaces : Discretization with geometric finite elements
    In: Computer Methods in Applied Mechanics and Engineering, Jg. 416, 2023, 116309
  • Birsan, Mircea
    Derivation of an elastic shell model of order hⁿ as n tends to infinity
    In: Mathematics and Mechanics of Solids (MMS), Jg. 28, 2023, Nr. 9, S. 2075 – 2107
  • Birsan, Mircea; Ghiba, Ionel-Dumitrel; Neff, Patrizio
    Existence results for the higher order linear Cosserat shell model
    In: Proceedings in Applied Mathematics and Mechanics (PAMM), Jg. 22, 2023, Nr. 1, e202200030
  • Shirani, Milad; Steigmann, David J.; Birsan, Mircea
    Legendre–Hadamard conditions for fiber-reinforced materials with one, two or three families of fibers
    In: Mechanics of Materials, Jg. 184, 2023, 104745
  • Birsan, Mircea
    On the equilibrium equations of linear 6-parameter elastic shells
    In: Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications, Jg. 15, 2023, Nr. 1-2, S. 94 – 118
  • Steigmann, David J.; Birsan, Mircea; Shirani, Milad
    Thin shells reinforced by fibers with intrinsic flexural and torsional elasticity
    In: International Journal of Solids and Structures, Jg. 285, 2023, 112550
  • Ghiba, Ionel-Dumitrel; Birsan, Mircea; Lewintan, Peter; Neff, Patrizio
    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 Tensor
    In: Journal of Elasticity, Jg. 146, 2021, Nr. 1, S. 83 – 141
  • Birsan, Mircea
    Alternative derivation of the higher-order constitutive model for six-parameter elastic shells
    In: Zeitschrift für Angewandte Mathematik und Physik (ZAMP), Jg. 72, 2021, Nr. 2, 50
  • Birsan, Mircea; Pietras, Daniel; Sadowski, Tomasz
    Determination of effective stiffness properties of multilayered composite beams
    In: Continuum Mechanics and Thermodynamics, Jg. 33, 2021, Nr. 4: A Life devoted to Advances in Continuum Mechanics of Material and Structural Behavior, S. 1781 – 1803
  • Birsan, Mircea
    Closed-Form Saint-Venant Solutions in the Koiter Theory of Shells
    In: Journal of Elasticity, Jg. 140, 2020, Nr. 1, S. 149 – 169
  • Birsan, Mircea
    Derivation of a refined six-parameter shell model : descent from the three-dimensional Cosserat elasticity using a method of classical shell theory
    In: Mathematics and Mechanics of Solids (MMS), Jg. 25, 2020, Nr. 6, S. 1318 – 1339
  • Ghiba, Ionel-Dumitrel; Birsan, Mircea; Lewintan, Peter; Neff, Patrizio
    The Isotropic Cosserat Shell Model Including Terms up to O(h⁵) : Part II: Existence of Minimizers
    In: Journal of Elasticity, Jg. 142, 2020, Nr. 2, S. 263 – 290
  • Ghiba, Ionel-Dumitrel; Birsan, Mircea; Lewintan, Peter; Neff, Patrizio
    The Isotropic Cosserat Shell Model Including Terms up to O(h⁵). : Part I: Derivation in Matrix Notation
    In: Journal of Elasticity, Jg. 142, 2020, Nr. 2, S. 201 – 262
  • 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
  • Sander, Oliver; Neff, Patrizio; Birsan, Mircea
    Numerical treatment of a geometrically nonlinear planar Cosserat shell model
    In: Computational Mechanics, Jg. 57, 2016, Nr. 5, S. 817 – 841
  • Neff, Patrizio; Bîrsan, Mircea; Osterbrink, Frank
    Existence theorem for geometrically nonlinear cosserat micropolar model under uniform convexity requirements
    In: Journal of Elasticity, Jg. 121, 2015, Nr. 1, S. 119 – 141
  • Sadowski, Tomasz; Birsan, Mircea; Pietras, Daniel
    Multilayered and FGM structural elements under mechanical and thermal loads : Part I: Comparison of finite elements and analytical models
    In: Archives of Civil and Mechanical Engineering (ACME), Jg. 15, 2015, Nr. 4, S. 1180 – 1192
  • Birsan, Mircea; Neff, Patrizio
    Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations
    In: Mathematics and Mechanics of Solids (MMS), Jg. 19, 2014, Nr. 4, S. 376 – 397
  • Birsan, Mircea; Neff, Patrizio
    Shells without drilling rotations: A representation theorem in the framework of the geometrically nonlinear 6-parameter resultant shell theory
    In: International Journal of Engineering Science, Jg. 80, 2014, S. 32 – 42
  • Birsan, Mircea; Neff, Patrizio
    Existence theorems in the geometrically non-linear 6-parameter theory of elastic plates
    In: Journal of Elasticity, Jg. 112, 2013, Nr. 2, S. 185 – 198
  • Birsan, Mircea; Sadowski, Thomas; Marsavina, L.; Linul, E.; Pietras, Daniel
    Mechanical behavior of sandwich composite beams made of foams and functionally graded materials
    In: International Journal of Solids and Structures, Jg. 50, 2013, Nr. 3/4, S. 519 – 530
  • Birsan, Mircea; Altenbach, Holm
    On the Cosserat model for thin rods made of thermoelastic materials with voids
    In: Discrete and Continuous Dynamical Systems. Series S (DCDS-S), Jg. 6, 2013, Nr. 6, S. 1473 – 1485
  • Birsan, Mircea; Neff, Patrizio; Lankeit, Johannes
    Sum of squared logarithms : an inequality relating positive definite matrices and their matrix logarithm
    In: Journal of Inequalities and Applications, Jg. 2013, 2013, S. 168
  • Birsan, Mircea; Sadowski, Tomasz; Pietras, Daniel
    Thermoelastic deformations of cylindrical multi-layered shells using a direct approach
    In: Journal of Thermal Stresses, Jg. 36, 2013, S. 749 – 789
  • Birsan, Mircea; Altenbach, Holm; Sadowski, Tomasz; Eremeyev, Victor A.; Pietras, Daniel
    Deformation analysis of functionally graded beams by the direct approach
    In: Composites Part B: Engineering, Jg. 43, 2012, Nr. 3, S. 1315 – 1328
  • Altenbach, Holm; Birsan, Mircea; Eremeyev, Victor A.
    On a thermodynamic theory of rods with two temperature fields
    In: Acta Mechanica, Jg. 223, 2012, Nr. 8, S. 1583 – 1596
  • Birsan, Mircea; Neff, Patrizio
    On the equations of geometrically nonlinear elastic plates with rotational degrees of freedom
    In: Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications, Jg. 4, 2012, Nr. 1, S. 97 – 103
  • Birsan, Mircea; Altenbach, Holm
    The Korn-type inequality in a Cosserat model for thin thermoelastic porous rods
    In: Meccanica, Jg. 47, 2012, Nr. 3, S. 789 – 794
  • Birsan, Mircea; Altenbach, Holm
    On the dynamical theory of thermoelastic simple shells
    In: ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik, Jg. 91, 2011, Nr. 6, S. 443 – 457
  • Birsan, Mircea; Altenbach, Holm
    On the theory of porous elastic rods
    In: International Journal of Solids and Structures, Jg. 48, 2011, Nr. 6, S. 910 – 924
  • Birsan, Mircea; Altenbach, Holm
    Theory of thin thermoelastic rods made of porous materials
    In: Archive of Applied Mechanics, Jg. 81, 2011, Nr. 10, S. 1365 – 1391
  • Birsan, Mircea; Altenbach, Holm
    A mathematical study of the linear theory for orthotropic elastic simple shells
    In: Mathematical Methods in the Applied Sciences, Jg. 33, 2010, Nr. 12, S. 1399 – 1413
  • Birsan, Mircea
    Thermal stresses in anisotropic cylindrical elastic shells
    In: Mathematical Methods in the Applied Sciences, Jg. 33, 2010, Nr. 6, S. 799 – 810
  • Birsan, Mircea
    On Saint-Venant's problem for anisotropic, inhomogeneous, cylindrical Cosserat elastic shells
    In: International Journal of Engineering Science, Jg. 47, 2009, Nr. 1, S. 21 – 38
  • Birsan, Mircea
    On the problems of Almansi and Michell for anisotropic Cosserat elastic shells
    In: Archives of Mechanics, Jg. 61, 2009, Nr. 3 - 4, S. 195 – 227
  • Birsan, Mircea
    Thermal stresses in cylindrical Cosserat elastic shells
    In: European Journal of Mechanics A/Solids, Jg. 28, 2009, Nr. 1, S. 94 – 101
  • Birsan, Mircea
    Inequalities of Korn's type and existence results in the theory of Cosserat elastic shells
    In: Journal of Elasticity, Jg. 90, 2008, Nr. 3, S. 227 – 239
  • Birsan, Mircea
    On the dynamic deformation of porous Cosserat linear-thermoelastic shells
    In: ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik, Jg. 88, 2008, Nr. 1, S. 74 – 77
  • Birsan, Mircea
    On Saint-Venant's principle in the theory of Cosserat elastic shells
    In: International journal of engineering science : IJES, Jg. 45, 2007, Nr. 2 - 8, S. 187 – 198
  • Birsan, Mircea
    On the bending equations for elastic plates with voids
    In: Mathematics and Mechanics of Solids (MMS), Jg. 12, 2007, Nr. 1, S. 40 – 57
  • Birsan, Mircea
    On the theory of loaded general cylindrical Cosserat elastic shells
    In: International Journal of Solids and Structures, Jg. 44, 2007, Nr. 22 - 23, S. 7399 – 7419
  • Birsan, Mircea
    On a thermodynamic theory of porous Cosserat elastic shells
    In: Journal of Thermal Stresses, Jg. 29, 2006, Nr. 9, S. 879 – 899
  • Birsan, Mircea
    On the theory of elastic shells made from a material with voids
    In: International Journal of Solids and Structures, Jg. 43, 2006, Nr. 10, S. 3106 – 3123
  • Birsan, Mircea
    Several results in the dynamic theory of thermoelastic Cosserat shells with voids
    In: Mechanics Research Communications, Jg. 33, 2006, Nr. 2, S. 157 – 176
  • Birsan, Mircea
    Minimum energy characterizations for the solution of Saint-Venant’s problem in the theory of shells
    In: Journal of Elasticity, Jg. 81, 2005, Nr. 2, S. 179 – 204
  • Birsan, Mircea
    Saint-Venant’s problem for Cosserat shells with voids
    In: International Journal of Solids and Structures, Jg. 42, 2005, Nr. 7, S. 2033 – 2057
  • Birsan, Mircea
    The solution of Saint-Venant’s problem in the theory of Cosserat shells
    In: Journal of Elasticity, Jg. 74, 2004, Nr. 3, S. 185 – 214
  • Birsan, Mircea
    A bending theory of porous thermoelastic plates
    In: Journal of Thermal Stresses, Jg. 26, 2003, Nr. 1, S. 67 – 90
  • Vorworte / Nachworte

  • Steigmann, David J.; Birsan, Mircea; Shirani, Milad
    Preface
    In: 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
  • Beiträge in Sammelwerken und Tagungsbänden

  • Steigmann, David J.; Birsan, Mircea; Shirani, Milad
    A Cosserat Model for Fiber-Reinforced Elastic Plates
    In: 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
  • Steigmann, David J.; Birsan, Mircea; Shirani, Milad
    Buckling of Elastic Plates
    In: 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
  • Steigmann, David J.; Birsan, Mircea; Shirani, Milad
    Hyperelastic Solids : Purely Mechanical Theory
    In: 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
  • Steigmann, David J.; Birsan, Mircea; Shirani, Milad
    Linear Shell Theory
    In: 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
  • Steigmann, David J.; Birsan, Mircea; Shirani, Milad
    Linearly Elastic Plates
    In: 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
  • Steigmann, David J.; Birsan, Mircea; Shirani, Milad
    Local Geometry of Deformation
    In: 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
  • Steigmann, David J.; Birsan, Mircea; Shirani, Milad
    Nonlinear Equations for Plates and Shells
    In: 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
  • Birsan, Mircea; Neff, Patrizio
    On the Coercivity of Strain Energy Functions in Generalized Models of 6-Parameter Shells
    In: 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
  • Steigmann, David J.; Birsan, Mircea; Shirani, Milad
    Saint-Venant Problem for General Cylindrical Shells
    In: 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
  • Steigmann, David J.; Birsan, Mircea; Shirani, Milad
    Tensor Analysis in Euclidean Space Using Curvilinear Coordinates
    In: 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
  • Birsan, Mircea; Neff, Patrizio
    Analysis of the deformation of cosserat elastic shells using the dislocation density 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 Verlag, 2017, S. 13 – 30
  • Birsan, Mircea; Neff, Patrizio
    On the dislocation density tensor in the Cosserat theory of elastic shells
    In: Advanced methods of continuum mechanics for materials and structures / Naumenko, Konstantin; Aßmus, Marcus (Hrsg.). Singapore: Springer, 2016, S. 391 – 413
  • Birsan, Mircea
    Cylindrical Elastic Bodies with Directors, Thermal Stresses
    In: Encyclopedia of Thermal Stresses / Hetnarski, Richard B. (Hrsg.). Dordrecht: Springer Science+Business Media, 2014, S. 837 – 845
  • Birsan, Mircea; Sadowski, Tomasz; Pietras, Daniel
    Cylindrical Orthotropic Thermoelastic Shells Modeled by Direct Approach
    In: Encyclopedia of Thermal Stresses / Hetnarski, Richard B. (Hrsg.). Dordrecht: Springer Science+Business Media, 2014, S. 845 – 858
  • Birsan, Mircea; Neff, Patrizio
    On the characterization of drilling rotation in the 6-parameter resultant shell theory
    In: 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 – 64
  • Birsan, Mircea
    Saint-Venant’s Problem for Cosserat Elastic Shells
    In: Encyclopedia of Thermal Stresses / Hetnarski, Richard B. (Hrsg.). Dordrecht: Springer Science+Business Media, 2014, S. 4264 – 4273
  • Altenbach, Holm; Birsan, Mircea; Eremeyev, Victor A.
    Cosserat-type rods
    In: Generalized continua from the theory to engineering applications / Altenbach, Holm; Eremeyev, Victor A. (Hrsg.). Wien: Springer, 2013, S. 179 – 248
  • Birsan, Mircea; Altenbach, Holm
    Analysis of the deformation of multi-layered orthotropic cylindrical elastic shells using the direct approach
    In: Shell-like Structures: Non-classical Theories and Applications / Altenbach, Holm; Eremeyev, Victor A. (Hrsg.). Berlin: Springer, 2011, S. 29 – 52
  • Birsan, Mircea; Altenbach, Holm
    Continuous dependence and instability in the linear theory of elastic shells
    In: 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
  • Birsan, Mircea
    On a problem of thermal stresses in the theory of Cosserat elastic shells with voids
    In: 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
  • Birsan, Mircea
    On the use of Korn's type inequalities in the existence theory for Cosserat elastic surfaces with voids
    In: 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
  • Bücher/Sammelwerke/Tagungsbände

  • Birsan, Mircea; Neff, Patrizio
    Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations
    2013
    (Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 761)
  • Birsan, Mircea; Neff, Patrizio; Lankeit, Johannes
    Sum of squared logarithms : an inequality relating positive definite matrices and their matrix logarithm
    2013
    (Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 762)
  • Birsan, Mircea; Neff, Patrizio
    Existence theorems in the geometrically non-linear 6-parametric theory of elastic plates
    2012
    (Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 754)
  • Poster / Posterbeiträge

  • Neff, Patrizio; Birsan, Mircea
    The 6-parameter Cosserat-shell model
    2016
  • Vorträge

  • Neff, Patrizio; Birsan, Mircea
    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