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Prof. Prof. Dr. rer. nat. Mircea Birsan

Fakultät für Mathematik

Anschrift
Thea-Leymann-Str. 9
45127 Essen
Raum
WSC-W-4.15
Telefon
0201 183 7307
Telefax
0201 183 4394
E-Mail
mircea.birsan@uni-due.de
Webseite
http://www.uni-due.de/mathematik/ag_neff/birsan

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

  • 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) (2024) in press
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/ (Open Access)
  • 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
    Online Volltext: dx.doi.org/ (Open Access)
  • 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
    Online Volltext: dx.doi.org/ (Open Access)
  • 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
    Online Volltext: dx.doi.org/ (Open Access)
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/ (Open Access)
  • 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
    Online Volltext: dx.doi.org/ (Open Access)
  • 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
    Online Volltext: dx.doi.org/ (Open Access)
  • 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
    Online Volltext: dx.doi.org/ (Open Access)
  • 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
    Online Volltext: dx.doi.org/ Online Volltext (Open Access)
  • 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
    Online Volltext: dx.doi.org/ (Open Access)
  • 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
    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)
  • 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
    Online Volltext: dx.doi.org/ (Open Access)
  • 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
    Online Volltext: dx.doi.org/ (Open Access)
  • 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 Jg. 15 (2015) Nr. 4, S. 1180 - 1192
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/ (Open Access)
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • Birsan, Mircea; Altenbach, Holm
    On the Cosserat model for thin rods made of thermoelastic materials with voids
    In: Discrete and Continuous Dynamical Systems : DCDS Jg. 6 (2013) Nr. 6, S. 1473 - 1485
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/ (Open Access)
  • 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
    Online Volltext: dx.doi.org/ Online Volltext
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • Birsan, Mircea; Neff, Patrizio
    On the equations of geometrically nonlinear elastic plates with rotational degrees of freedom
    In: Annals / Academy of Romanian Scientists: series on mathematics and its applications Jg. 4 (2012) Nr. 1, S. 97 - 103
    Online Volltext
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • Birsan, Mircea
    Thermal stresses in anisotropic cylindrical elastic shells
    In: Mathematical Methods in the Applied Sciences Jg. 33 (2010) Nr. 6, S. 799 - 810
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext
  • Birsan, Mircea
    Thermal stresses in cylindrical Cosserat elastic shells
    In: European Journal of Mechanics A/Solids Jg. 28 (2009) Nr. 1, S. 94 - 101
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • Birsan, Mircea
    On a thermodynamic theory of porous Cosserat elastic shells
    In: Journal of Thermal Stresses Jg. 29 (2006) Nr. 9, S. 879 - 899
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • Birsan, Mircea
    A bending theory of porous thermoelastic plates
    In: Journal of Thermal Stresses Jg. 26 (2003) Nr. 1, S. 67 - 90
    Online Volltext: dx.doi.org/

    • 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.) (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.) 2023, S. 663 - 686
    Online Volltext: dx.doi.org/
  • 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.) 2023, S. 207 - 229
    Online Volltext: dx.doi.org/
  • 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.) 2023, S. 61 - 76
    Online Volltext: dx.doi.org/
  • 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.) 2023, S. 109 - 167
    Online Volltext: dx.doi.org/
  • 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.) Jg. 274 2023, S. 77 - 108
    Online Volltext: dx.doi.org/
  • 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.) 2023, S. 23 - 59
    Online Volltext: dx.doi.org/
  • 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.) 2023, S. 169 - 205
    Online Volltext: dx.doi.org/
  • 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.) 2023, S. 63 - 90
    Online Volltext: dx.doi.org/
  • 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.) 2023, S. 231 - 252
    Online Volltext: dx.doi.org/
  • 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.) 2023, S. 1 - 22
    Online Volltext: dx.doi.org/
  • 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.) 2017, S. 13 - 30
    Online Volltext: dx.doi.org/
  • 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.) 2016, S. 391 - 413
    Online Volltext: dx.doi.org/ Online Volltext (Open Access)
  • 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.) Jg. 3 2014, S. 61 - 64
    Online Volltext: dx.doi.org/ (Open Access)
  • 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.) 2013, S. 179 - 248
    Online Volltext: dx.doi.org/
  • 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.) 2011, S. 29 - 52
    Online Volltext: dx.doi.org/
  • 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.) 2010, S. 55 - 58
    Online Volltext: dx.doi.org/
  • 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.) 2008, S. 67 - 76
    Online Volltext: dx.doi.org/
  • 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.) 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) 31 S.
    (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) 16 S.
    (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) 19 S.
    (Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 754)

    • Poster / Posterbeiträge

  • Neff, Patrizio; Birsan, Mircea
    The 6-parameter Cosserat-shell model
    (2016)
    Online Volltext: dx.doi.org/

    • 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)
    Online Volltext: dx.doi.org/