Mechanik, insbes. Kontinuumsmechanik und Materialtheorie

Kontakt

Prof. Dr.-Ing.

Albrecht Bertram

albrecht.bertram@ovgu.de

Einrichtung Kontinuumsmechanik und Materialtheorie
Sekretariat MS2
Gebäude Mechanische Schwingungslehre (MS)
Raum 304
Adresse Einsteinufer 5
10587 Berlin

Prof. Dr. Ing. Albrecht Bertram

Profil

  • Grundlagen der Kontinuumsmechanik
  • Mathematische und empirische Materialtheorie mit den Schwerpunkten: anisotrope Materialien (Kristalle, Textur), Viskoplastizität von Hochtemperaturwerkstoffen, inhomogene und strukturierte Materialien, Schädigung, Homogenisierungsmethoden
  • Spannungs- und Verformungsberechnung mit den Schwerpunkten: große inelastische Deformationen (finite Plastizität und Viskoplastizität)
  • generalisierte Materialtheorien, insbesondere Gradientenmaterialien

Vita

1973 - 1974Studium in der Studienrichtung Physikalische Ingenieurwissenschaft an der TU Berlin, Diplom Dez. 1974
1975 - 1979Wissenschaftlicher Assistent bei Prof. R. Trostel im 2. Institut für Mechanik der TU Berlin
21.2.1980Promotion zum Dr.-Ing. an der TU Berlin mit dem Thema: Materielle Systeme mit inneren Zwangsbedingungen
1980 - 1988Hochschulassistent im 2. Institut für Mechanik der TU Berlin
1983 - 1985Dozent an der Universidad Industrial de Santander, Bucaramanga, Kolumbien im Fachbereich Bauingenieurwesen
7. - 9.1986Gastdozent an der University of Dar-es-Salaam, Tansania
22.7.1987Habilitation, Titel der Habilitationsschrift: Versuch einer axiomatischen Einführung in die Kontinuumsmechanik basierend auf einem Leistungsfunktional. Privatdozent an der TU Berlin.
7.1987 - 10.1987Forschungsaufenthalt im Maschinenbaudepartment der Pontificia Universidade Catolica in Rio de Janeiro, Brasilien
1988 - 1995Wiss. Mitarbeiter der Bundesanstalt für Materialforschung und -prüfung, Referat Rechnerische Werkstoff- und Bauteilanalyse
1.5.1995Ernennung zum Universitätsprofessor (C4) der Otto-von-Guericke Universität Magdeburg, Lehrstuhl Festigkeitslehre, Fakultät für Maschinenbau
11.7.1995Ernennung zum außerplanmäßigen Professor der TU Berlin
15.9.1998Ruferteilung auf Professur für Mechanik in der Fak. Maschinenbau der Universität Dortmund (nicht angenommen)
2000 - 2016Geschäftsführender Herausgeber der Fachzeitschrift Technische Mechanik
7.2001 - 2.2005Leiter des Instituts für Mechanik der Otto-von-Guericke-Universität Magdeburg
2002 - jetzt(Vize-)Sprecher des Graduierten-Kollegs Mikro-Makro-Wechselwirkungen in strukturierten Medien und Partikelsystemen
3.2005 - 9.2005Gastprofessor an der Ecole des Mines in Paris
2004 - 2012gewählter Fachkollegiat der DFG
Febr. - März 2010Gastprofessor an der Universität von Havanna, Kuba
April - July 2010Visiting Scholar der University of California at Berkeley

Publikationen

2022
A.Bertram: Compendium on Gradient Materials. Springer Verlag, 300 pages (2022)
O. Stahn, A. Bertram, W. H. Müller: The evolution of Hooke's law under finite plastic deformations for fiber reinforced materials. Continuum Mech. Thermodyn. 34, pages 1485–1495 (2022)

2021
A.Bertram: Elasticity and Plasticity of Large Deformations. Springer Verlag , 410 Pages, 4th edition

2020
A. Bertram, S. Forest (edts.): Mechanics of Strain Gradient Materials. Springer-Verlag, 171 pages (2020)
Reiher, J. C.; Bertram, A.: Finite Third-Order Gradient Elastoplasticity and Thermoplasticity. J. Elasticity 138,2, 169–193 (2020)
Bertram, A.: On viscous gradient fluids. Continuum Mech. Thermodyn. 32,5, 1385-1401, doi.org/10.1007/s00161-019-00853-4 (2020)
Stahn, O., Müller, W., Bertram, A.: Distances of Stiffnesses to Symmetry Classes. J. Elasticity 141, 349–361, (2020) doi.org/10.1007/s10659-020-09787-4

2019
E. Tohidlou, A. Bertram: Effect of strain hardening on subgrain formation during ECAP process. Mechanics of Materials 137 (2019)
Weber, M.; Glüge, R.; Bertram, A.: Distance of a stiffness tetrad to the symmetry classes of linear elasticity. Int. J. Solids Structures 48,156, 281-293 (2019)

2018
J. C. Reiher, A. Bertram: Finite Third-order Gradient Elasticity and Thermoelasticity, Journal of Elasticity 133, 223--252.  (2018) DOI: 10.1007/s10659-018-9677-2
R. Makvandi; Reiher, J. C.; Bertram, A.; Juhre, D.: Isogeometric analysis of first and second strain gradient elasticity. Computational Mechanics 61, 351–363 (2018)

2017
E. Tohidlou, A. Bertram: Effect of initial orientation on subgrain formation in nickel single crystals during equal channel angular pressing. Mechanics of Materials 114 (2017) 30-39.
A. Bertram, R. Glüge: Festkörpermechanik. Otto-von-Guericke-Universität Magdeburg 2017. ca. 295 Seiten.
Reiher, J. C., Giorgio, I., Bertram, A.: Finite-Element Analysis of Polyhedra under Point and Line Forces in Second-Strain Gradient Elasticity.  J. Eng. Mech. 143,2 10.1061/(ASCE)EM.1943-7889.0001184, 04016112 (2017)

2016
A. Bertram: Magdeburger Vorlesungen zur Technischen Mechanik (2016)
A. Bertram: Formelsammlung zur Technischen Mechanik (2016)
R. Glüge, J. Kalisch, A. Bertram: The eigenmodes in isotropic strain gradient elasticity. In Generalized Continua as Models for Classical and Advanced Materials. Edts. H. Altenbach, S. Forest. Springer-Verlag, 163-178 (2016)
A. Bertram: Finite gradient elasticity and plasticity: a constitutive thermodynamical framework. Continuum Mech. Thermodyn. 28, 869–883 (2016)
A. Bertram; R. Glüge: Gradient Materials with Internal Constraints. Mathematics and Mechanics of Complex Systems 4,1, 1–15, DOI: 10.2140/memocs.2016.4.1 (2016)
A. Bertram (edt.): Compendium on Gradient Materials, Otto-von-Guericke-Universität Magdeburg 2016, version Oct. 2016, 181 pages. Please note the new edition of June 2019
A. Bertram; Glüge, R.: Gradient Materials with Internal Constraints. Mathematics and Mechanics of Complex Systems 4,1, 1–15, DOI: 10.2140/­memocs.2016.4.1 (2016)

2015
A. Bertram (edt.): Compendium on Gradient Materials, Otto-von-Guericke-Universität Magdeburg 2015, version 15.10.2015, 134 pages. Please note the new edition of June 2019
A. Bertram, R. Glüge: Festkörpermechanik. Otto-von-Guericke-Universität Magdeburg 2015, 2.Version, 296 Seiten.
A. Bertram, R. Glüge: Solid Mechanics. Theory, Modeling, and Problems. Springer-Verlag (2015) 330 Seiten https://link.springer.com/book/10.1007/978-3-319-19566-7
S. Dodla, A. Bertram, M. Krüger: Finite element simulation of lamellar copper–silver composites, Computational Materials Science 101 (2015) 29–38
A. Bertram: Finite gradient elasticity and plasticity: a constitutive mechanical framework, Continuum Mech. Thermodyn., 27,6, 1039-1058 (2015)
S. Roy, R. Glüge, A. Bertram: Microscale modelling of multiple and higher-order deformation twinning, Acta Mechanica, 226,2, 371-384 (2015)

2014
A. Bertram, S. Forest: The thermodynamics of gradient elastoplasticity, Continuum Mech. Thermodyn. 26, 269–286 (2014)
A. Bertram: On the History of Material Theory - A Critical Review, The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering, Lecture Notes in Applied Mathematics and Mechanics Volume 1, Editor: Erwin Stein, Springer, pp 119-131 (2014)

2013
J. Kalisch, A. Bertram: Fast Alternatives to Taylor and Sachs Models for Rigid Perfectly Viscoplastic Polycrystals, Technische Mechanik 33, 104-118  (2013)
Y. Schneider, A. Bertram, T. Böhlke: Three-dimensional Simulation of Local and Global Behaviour of aFe-Cu Composites under Large Plastic Deformation, Technische Mechanik 33,1, 34-51 (2013)

2012
P. Pavan Kumar, A.K. Nallathambi, E. Specht, A. Bertram: Mechanical behaviour of mushy zone in DC casting using a viscoplastic material model . Technische Mechanik 32,2, 342-357 (2012)
A. Bertram, A. Krawietz: On the introduction of thermoplasticity. Acta Mechanica 223,10, 2257-2268, (2012)
R. Glüge, M. Weber, A. Bertram: Comparison of spherical and cubical statistical volume elements with respect to convergence, anisotropy and localization behavior, Computational Materials Science, (2012), 63, 91-104
A. Bertram: Elasticity and Plasticity of Large Deformations , ca. 343 Seiten, Springer-Verlag, Berlin, (2005), 3. Auflage (2012)
R. Glüge, A. Bertram: Microscale modelling of deformation twinning. Proceedings 7th Int. Conf. Engn. Compt. Techn. Edts. B.H.V. Topping et al., Civil-Comp Press, paper 120, 1-19(2010)

2011
S. Forest, A. Bertram: Formulations of strain gradient plasticity. In: Mechanics of Generalized Continua. Hrg.: H. Altenbach, G. A. Maugin, V. Erofeev, Springer, Berlin, 137-149 (2011)
M. Schurig, A. Bertram: The torsional buckling of a cruciform column under compressive load with a vertex plasticity model. Int. J. Solids Structures 48, 1-11 (2011)

2010
J. Kalisch, A. Bertram: On the evolution of the crystallographic texture of cubic polycrystals in coaxial processes. Int. J. Mater. Form, 3,1, 57-60 (2010)
T. Hoffmann, J. Kalisch, A. Bertram, S. Shim, J. Z. Tischler, H. Bei, B. C. Larson: Experimental identification and validation of models in micro and macro plasticity.Technische Mechanik 30,1-3, 136 – 145 (2010)
A. K. Nallathambi, Y. Kaymak, E. Specht, A. Bertram: Sensitivity of material properties on distortion and residual stresses during metal quensching processes. Journal of Materials Processing Techn. 210, 204-211 (2010)
Y. Schneider, A.Bertram, T. Böhlke, C. Hartig: Plastic deformation behaviour of Fe–Cu composites predicted by 3D finite element simulations, Computational Materials Science 48, 456–465 (2010)
R. Glüge, A. Bertram, T. Böhlke, E. Specht: A pseudoelastic model for mechanical twinning on the microscale, ZAMM 90,7-8, 1-30 (2010) / DOI 10.1002/zamm.200900339
R. Glüge, A. Bertram: Microscale modelling of deformation twinning. Proceedings 7th Int. Conf. Engn. Compt. Techn. Edts. B.H.V. Topping et al., Civil-Comp Press, paper 120, 1-19(2010)

2009
V. Schulze, A. Bertram, T. Böhlke, A. Krawietz: Texture-Based Modeling of Sheet Metal Forming and Springback, Technische Mechanik, 29,2, 135-159 (2009)
A. K. Nallathambi, E. Specht, A. Bertram:Computational aspects of temperature-based finite element technique for the phase-change heat conduction problem, Computational Materials Science 47, 332-341 (2009)
A.K. Nallathambi, Y. Kaymak, E. Specht, A. Bertram:Optimum strategies to reduce residual stresses and distortion during the metal quenching process, Journal of ASTM Int. 6,4 (2009)

2008
A. Bertram, J. Tomas (Edts.): Micro-Macro-Interactions in Structured Media and Particle Systems. Springer (2008)
A.K. Nallathambi, Y. Kaymak, E. Specht, A. Bertram: Distortion and residual stresses during metal quenching process, Micro-Macro-Interactions in Structured Media and Particle Systems. Hrg. A. Bertram, J. Tomas. Springer, 145-157 (2008)
A. Bertram, G. Risy, T. Böhlke: On Different Strategies for Micro-Macro Simulations of Metal Forming, Micro-Macro-Interactions in Structured Media and Particle Systems. Hrg. A. Bertram, J. Tomas. Springer, 33-40 (2008)
T. Böhlke, G. Risy, A. Bertram:Eine mikromechanische Interpretation der v. Mises-Hill´schen Fließbedingung. In: Umformtechnik im Spannungsfeld zwischen Plastomechanik und Werkstofftechnik. Hrg. K. Steinhoff, R. Kopp. GRIPS media, Bad Harzburg, 11-17 (2008)
T. Böhlke, G. Risy, A. Bertram: A micro-mechanically based quadratic yield condition for textured polychristals, ZAMM 88,5, 379-387 (2008)
V. Schulze, A. Bertram, T. Böhlke, A. Krawietz: Simulation of texture development in a deep drawing process, Micro-Macro-Interactions in Structured Media and Particle Systems. Hrg. A. Bertram, J. Tomas. Springer, 41-52 (2008)
Y. Schneider, T. Böhlke, A. Bertram, C. Hartig: Plastic Deformation Behaviour of Fe-Cu Composites, Micro-Macro-Interactions in Structured Media and Particle Systems. Hrg. A. Bertram, J. Tomas. Springer, 63-76 (2008)
C. Brüggemann, T. Böhlke, A. Bertram: Modelling and simulation of the Portevin-LeChatelier Effect, Micro-Macro-Interactions in Structured Media and Particle Systems. Hrg. A. Bertram, J. Tomas. Springer, 53-62 (2008)

2007
A. Bertram, S. Forest: Mechanics based on an Objective Power Functional. Techn. Mechanik 27,1, 1-17 (2007)
G. Risy, T. Böhlke, A. Bertram: A micro-mechanically based quadratic yield condition for textured polycrystals, Continuum Mechanics Preprint No 2,  Institut für Technische Mechanik, Universität Karlsruhe (TH), 17 Seiten (2007)
A. Bertram, T. Böhlke, A. Krawietz, V. Schulze: Finite element simulation of sheet metal forming and springback using a crystal plasticity approach, In: Materials Processing and Design: Modeling, Simulation and Applications. NUMIFORM 2007. Porto 17.-21.6.07, Hrg. J. M. A. César de Sá, A. D. Santos, 769-773 (2007)
G. Risy, T. Böhlke, A. Bertram: Modelling of the plastic anisotropy in sheet metals on different scales, Proceedings of IMPLAST 2007, 21.-24. Aug. 2007 in Bochum, Hrg. O. T. Bruhns, A. Meyers, The University Press Bochum, 449-45 (2007)
R. Pietzsch, M. Brzoza, Y. Kaymak, E. Specht, A. Bertram: Simulation of the distortion of long steel profiles during cooling. Journal of Applied Mechanics 74,3, 427-437 (2007)
T.Böhlke, R. Glüge, B. Klöden, W. Skrotzki, A. Bertram: Finite element simulation of texture evolution and Swift effect in NiAl under torsion. Modelling and Simulation in Materials Science and Engineering 15, 619-637 (2007)
M. Schurig, A. Bertram, H. Petryk: Micromechanical analysis of the development of a yield vertex in polycrystal plasticity. Acta Mechanica 194, 141-158 (2007)
A. Bertram, T. Böhlke, M. Silhavy: On the rank 1 convexity of stored energy functions of physically linear stress-strain relations. Journal of Elasticity 86, 235-243 (2007)

2006
T. Böhlke, G. Risy, A. Bertram: Finite element simulation of metal forming operations with texture based material models. Mod. Sim. Mat. Sci. Engn 14, 365-387 (2006)
Y. Kaymak, E. Specht, A. Bertram:Reducing the residual stresses and distortion by controlled quenching, Proceedings of 15th IFHTSE 25.-29 Sept. 2006, Wien, 403-408 (2006)
R. Glüge, T. Böhlke, A. Bertram: Texture evolution and Swift effect in NiAl, PAMM 6, 477-478 (2006)

2005
T. Böhlke, G. Risy, A. Bertram: A texture based model for polycrystal plasticity. Materials Schience Forum 495-497, 1091-1096 (2005) ICOTOM 14
R. Pietzsch, M. Brzoza, Y. Kaymak, E. Specht, A. Bertram: Minimizing the distortion of  steel profiles by controlled cooling. Steel Research Int. 76, 399-407 (2005)
T. Kletschkowski, U. Schomburg, A. Bertram: A rate-dependent endochronic approach to thermoplastic materials: temperature and filler volume fraction dependence. Mechanics of Materials 37,6, 687-704 (2005)
T. Böhlke, G. Risy, A. Bertram: A texture component model for anisotropic polycrystal plasticity. Computational Materials Science 32, 284-293 (2005)
T. Kletschkowski, U. Schomburg, A. Bertram: Computational analysis of PTFE shaft seals, Computational Materials Science 32, 392-399 (2005)

2004
A. Bertam, B. Svendsen: Reply to Rivlin's Material symmetry revisid or Much Ado About Nothing, GAMM-Mitt. 27, 1, 88-93 (2004)
T. Kletschkowski, U. Schomburg, A. Bertram: Was können Stoffgesetze für PTFE-Werkstoffe heute leisten? Tagungsband des V. Harburger Dichtungstechnischen Kolloquiums Dynamische Dichtungen, TU Hamburg-Harburg, Artikel Nr. 18 (2004)
T. Kletschkowski, U. Schomburg, A. Bertram: The influence of the filler volume fraction on the mechanical behaviour of thermoplastic materials, PAMM 4,1, 223-224 (2004)
T. Kletschkowski, U. Schomburg, A. Bertram: An Endochronic Viscoplastic Approach for Materials with Different Behavior in Tension and Compression. Mechanics of Time-Dependet Materials 8, 119-135 (2004)

2003
T. Böhlke, A. Bertram: The Reuss Bound of the Strain Rate Potential of Viscoplatic FCC Polycrystals, Technische Mechanik, 23,2-4, 184-194 (2003)
A. Bertram:Finite thermoplasticity based on isomorphisms, Int. J. Plast. 19, 2027-2050 (2003)
T. Böhlke, A. Bertram: Crystallographic texture induced anisotropy in copper: An approach based on a tensorial Fourier expansion of the CODF,  J. Phys. IV France 105, 167-174 (2003)
T. Böhlke, A. Bertram: Asymptotic values of elastic anisotropy in polycrystalline copper for uniaxial and compression, Computational Materials Science 26, 13-19 (2003)
T. Böhlke, A. Bertram, E. Krempl: Modeling of deformation induced anisotropy in free-end torsion, Int. J. Plast. 19, 1867-1884 (2003)
A. Bertam, T. Böhlke, Y. Estrin, W. Lenz: Effect of Geometric Nonlinearity on large Strain Deformation: a Case Study, Proceeding of the 9th International Conference on the Mechanical Behaviour of Materials (ICM9), Genf 2003
M. Schurig, A. Bertram: A rate independent approach to crystal plasticity with a power law, Computational Materials Science 26, 154-158 (2003)
T. Kletschkowski, U. Schomburg, A. Bertram:Numerische Untersuchung von PTFE-Manschettendichtungen mit einem werkstoffgerechten Materialmodell, Tagungsband des XIII. Dichtungskolloquium in Münster, Untersuchung und Anwendung von Dichtelementen, Vulkan-Verlag Essen (2003) 160-173
T. Kletschkowski, U. Schomburg, A. Bertram: Numerical Investigations on the plastic Memory Effect of PTFE Compounds, PAMM 3, 202-203 (2003)

2002
T. Kletschkowski, U. Schomburg, A. Bertram: An inelastic material model for filled polytetrafluorethylen, Archive of Applied Mechanics 72, 293-299 (2002)
M. Schurig, A. Bertram: Computation of deformation textures in copper with equlibrium in small grain neighbourhoods,Computational Material Science 25, 193-199 (2002)
T. Böhlke, A. Bertram: On the Ellipticity of Finite Isotropic Linear Elastic Laws, Preprint Nr. 1, Otto-von-Guericke-Universität Magdeburg, 15 Seiten (2002)
T. Kletschkowski, U. Schomburg, A. Bertram:An endochronic viscoplastic material model for filled PFTFE, Plasticity, Damage and Fracture at Macro, Micro and Nano Scales. Proceedings of Plasticity '02. Hrg.: A. S. Khan, O. Lopez-Pamies. Neat Press, Fulton, 135-137 (2002)

2001
A. Bertram, B. Svendsen: On material objectivity and reduced constitutive equations, Archives of Mechanics 53,6, 653-675 (2001)
T. Kletschkowski, U. Schomburg, A. Bertram: Viskoplastische Materialmodellierung am Beispiel des Dichtungswerkstoffs Polytetrafluorethylen, Technische Mechanik 21,3, 227-241 (2001)
T. Böhlke, A. Bertram: Bounds for the geometric mean of 4th-order elasticity tensors with cubic symmetry, ZAMM, 81, S2, S333-S334 (2001)
T. Böhlke, A. Bertram: The 4th-order isotropic tensor function of a symmetric 2nd-oder tensor with applications to anisotropic elasto-plasticity, ZAMM, 81, S1, S125-S128 (2001)
T. Böhlke, A. Bertram: The evolution of Hooke's law due to texture development in polycrystals,Int. J. Sol. Struct., 38(52), 9437-9459 (2001)
T. Böhlke, A. Bertram: Isotropic orientation distributions of cubic crystals, J. Mech. Phys. Solids, 49(11), 2459-2470  (2001)
A. Bertram, J. Olschewski:A phenomenological anisotropic creep model for cubic single crystals, Handbook of Materials Behavior Models. Hrg.: J. Lemaitre. Academic Press. Bd. 1, 303-307 (2001)

2000
W. Qi, W. Brocks, A. Bertram: An FE-analysis of anisotropic creep damage and deformation in the singel crystal SRR99 under multiaxial loads,  Computational Material Science 19,1-4, 292-297 (2000)
T. Böhlke, A. Bertram: A minimum problem defining effective isotropic elastic properties,ZAMM, 80,S2, S419-S420 (2000)
A. Bertram, T. Böhlke, N. Gaffke, B. Heiligers, R. Offinger: On the generation of discrete isotropic orientation distributions for linear elastic crystals, J. Elast., 58, 233-248 (2000)

1999
A. Bertram, T. Böhlke: Simulation of texture induced elastic anisotropy of polycrystalline copper, Computational Materials Science 16, 2-9 (1999)
T. Böhlke, A. Bertram: Simulations of texture induced elastic anisotropy, 4. Int. Conf. on Constitutive Laws for Engineering Materials. 27.-30.7.99 Troy, Hrg.: R. C. Picu, E. Krempl, 221-224 (1999)
A. Bertram: Materials with isomorphic elastic ranges – an approach to finite plasticity, 4. Int. Conf. on Constitutive Laws for Engineering Materials. 27.-30.7.99 Troy, Hrg.: R. C. Picu, E. Krempl, 164-167 (1999)
A. Bertram: The dissipation-inequality of rate-independent thermoplasticity, ZAMM 79, S195-S198, (1999), teilweise identisch mit 71T. Böhlke, A. Bertram: An isotropy condition for discrete sets of cubic single crystals, ZAMM 79, S447-448 (1999)
B. Svendsen, A. Bertram: On frame-indifference and form-invariance in constitutive theory, Acta Mech. 132, 195-207 (1999)
W. Qi, A. Bertram: Anisotropic continuum damage modelling for F.C.C.-single crystals at high temperatures, Int. J. Plasticity 15(11), 1197-1215 (1999)
A. Bertram, M. Kraska:Finite-element simulation of texture development in polycrystalline metals, ICOTOM 12, Hrg. J. A. Szpunar, NRC Research Press, Ottawa, 273-278 (1999)
A. Bertram: On general frameworks for material modeling, 4. Int. Conf. on Constitutive Laws for Engineering Materials. 27.-30.7.99 Troy, Hrg.: R. C. Picu, E. Krempl, 46-49 (1999)
A. Bertram, T. Böhlke:On the evolution of anisotropic elastic properties during metal forming, ICOTOM 12, Hrg. J. A. Szpunar, NRC Research Press, Ottawa, 535-540 (1999)
A. Bertram: An alternative approach to finite plasticity based on material isomorphisms, Int. J. Plast. 15,3, 353-374 (1999)

1998
T. Böhlke, A. Bertram:Generierung von Orientierungsverteilungen für RVE-Simulationsrechnungen, In: D. Besdo: Numerische Methoden der Plastomechanik. Inst. für Mechanik der Universität Hannover, 15-25 (1998)
W. Qi, A. Bertram:  Damage modeling of the single crystal superalloy SRR99 under monotonous creep, Comp. Mat. Sci. 13, 132-141 (1998)
G. Stadie, A. Bertram: Characterization of anisotropic damage by simulation of a microstructure with voids, Proc. Euromech-Mecamat Mechanics of materials with intrinsic length scale, 23.-26.Febr. 1998, Magdeburg. Hrg.: A. Bertram, F. Sidoroff, S. Forest. 379-384 (1998)
W. Qi, A. Bertram: Damage Modeling of the single crystal superalloy SRR99 under monotonous creep, Computational Material Science 13, 132-141 (1998)
A. Bertram: An alternative approach to finite plasticity, Report IFME 98/3, Otto-von-Guericke-Universität Magdeburg (1998)
T. Böhlke, A. Bertram: Simulation of texture development and induced anisotropy of f.c.c. polycrystals, Modeling and Simulation based Engineering, Vol. II, Hrg. S. N. Atluri, P. E. O’Donoghue. Tech Science Press, 1390-1395 (1998)
A. Bertram, T. Böhlke, M. Kraska: Texture development of aluminum polycrystals under finite plastic deformations, Proceedings of the IUTAM Symp. "Micro- and Macrostructural Aspects of Thermoplasticity", Bochum (1997), Hrg. O. T. Bruhns, E. Stein, Kluwer Acad. Publ., Dordrecht 1998, 127-136.

ältere
A. Bertram, J. Olschewski:Computational modelling of anisotropic materials under creep conditions,  Math. Modelling Sci. Comp. 5, 2-4, 100-109 (1995)
A. Bertram, W. Qi:  Anisotropic continuum damage modelling for F.C.C.-single crystals at high temperatures, Finite Plastic and Viscoplastic Deformation. Proceedings of Plasticity ´97, 13.-18.7.1997, Juneau, Alaska. Hrg. A. S. Khan. S. 231-232 (1997)
A. Bertram, T. Böhlke, M. Kraska: Numerical simulation of texture development of polycrystals undergoing large plastic deformations, Proceedings of „Computational Plasticity - Fundamentals and Applications 5", 17.-20.3.1997, Hrg. D. R. J. Owen, E. Onate, E. Hinton, CIMNE, Barcelona, S. 895-900 (1997)
A. Bertram, T. Böhlke, M. Kraska: Numerical simulation of deformation induced ansiotropy of polycrystals, Comp. Mat. Sci. 9, 158-167 (1997)
T. Böhlke, M. Kraska, A. Bertram: Simulation der einfachen Scherung einer polykristallinen Aluminiumprobe, Technische Mechanik, Sonderheft, 47-54 (1997)
W. Qi, A. Bertram: Anisotropic creep damage modeling of single crystal superalloys,Technische Mechanik 17,4, 313-322 (1997)
A. Bertram, J. Olschewski: Anisotropic Creep Modelling of the Single Crystal Superalloy SRR99, Comp. Mat. Sci. 5, 12-16 (1996)
P. Portella, A. Bertram, E. Fahlbusch, H. Frenz, J. Kinder: Cyclic behavior of the single crystal superalloy SRR99 at 980 °C, Proceedings of  Fatigue ´96. Berlin, 6.-10. Mai, Hrg. G. Lütjering, H. Nowack, 795-800 (1996)
A. Bertram, M. Kraska: Beschreibung finiter plastischer Deformationen von Einkristallen mittels materieller Isomorphismen, ZAMM 75, S179-S180 (1995)A. Bertram, M. Kraska: Determination of Finite Plastic Deformations in Single Crystals, Archives of Mechanics 47, 2, 203-222 (1995)
M. Kraska, F. Duderstadt, A. Bertram: Repräsentatives Volumenelement mit periodischen Randbedingungen auf FE-Basis zur Simulation des Verhaltens von Vielkristallen, Tagungsband vom 5. Workshop Numerische Methoden der Plastomechanik. Hrg.: D. Besdo. IfM, Universittät Hannover, 115-124 (1995)
A. Bertram, M. Kraska: Beschreibung finiter plastischer Deformationen von Einkristallen mittels materieller Isomorphismen, ZAMM 75, S179-S180 (1995)
P. D. Portella, J. Kinder, H. Frenz, A. Bertram: Cyclic creep behaviour of the single crystal superalloy SRR99 at 980 °C, Proc. of  4th European Conference on Advanced Materials and Processes, 25-28 Sept. 1995, Padua/Venedig, AIM/FMS, Symp. D,2, 249-254 (1995)
A. Bertram, M. Kraska: Description of finite plastic deformations in single crystals by material isomorphisms, Proceedings of IUTAM Symposium on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics, 30.8.-3.9.1994 Nottingham, Kluwer Academic Publ., Hrg. D. F. Parker, A. H. England, Dordrecht/ Boston/London, 77-90 (1995)
J. Han, A. Bertram, J. Olschewski, W. Hermann, H.-G. Sockel: Identification of elastic constants of alloys with sheet and fibre textures based on resonance measurements and finite element analysis, Comp. Mat. Sci. A191, 105-111 (1995)
A. Bertram, J. Han, J. Olschewski, H.-G. Sockel: Identification of Elastic Constants and Orientation of Single Crystals by Resonance Measurements and FE-Analysis, Special Issue of Int. J. Computer Appl. in Techn., 7, 3/4, 284-291 (1994)
A. Bertram, J. Olschewski, R. Sievert: Experimental and numerical investigations of thermal-mechanical behaviour of poly- and single-crystalline nickel-base superalloys, Archives of Mechanics 46,4, 413-429 (1994)
A. Bertram, J. Olschewski, R. Sievert:Berechnung des inelastischen Verhaltens von Superlegierungen im Hochtemperaturbereich, VDI Berichte 1021 vom "Werkstofftag '93", VDI Verlag, Düsseldorf, 165-172 (1993)
J. Han, A. Bertram, J. Olschewski, W. Hermann, H.-G. Sockel:Identification of elastic constants of directionally solidified superalloys based on resonance measurements and FE-analysis, Proceedings of "Conference on Scientific and Engineering Computing for Young Chinese Scientists", Aug. 16-21, 1993, Beijing, China, 138-143 (1993)
A. Bertram: What is the generalconstitutive equation? Beiträge zur Mechanik, Hrg.: C. Alexandru et al., TU Berlin, 28-37 (1993)
A. Bertram, J.Olschewski: Zur Formulierung anisotroper linearer anelastischer Stoffgleichungen mit Hilfe einer Projektionsmethode, ZAMM 73, 4-5, T401-T403 (1993)
A. Bertram, P.D. Portella, C. Herzog: Modellierung des Kriechverhaltens und des Versagens von einkristallinen Superlegierungen, VGB-Konferenz "Restlebensdauer 1992" (6.-7. Juli 1992), Bd. 2, 24.1-24.10, Mannheim (1992)
A. Bertram: Kriechmodellierung und Lebensdauerermittlungbei Hochtemperaturlegierungen, Plastizitätstheorie IV, Heft 1/91, 51-67, TU Dresden (1991)
A. Bertram, J. Olschewski, M. Zelewski: Zur Problematik von Torsionsversuchen bei anisotropen Materialien, ZAMM 71,4, T387-T390 (1991)
A. Bertram, J. Olschewski, M. Zelewski, R. Sievert: Anisotropic creep modeling for f.c.c. single crystals, in: IUTAM Symp. "Creep in Structures IV" (Hrg.: Zyczkowski, M.) 29-36, Springer-Verlag (1991)
A. Bertram, J. Olschewski, M. Zelewski:Constitutive modeling of primary and secondary creep of single crystals at high temperatures, Advanced Materials and Processes. (Hrg.: H. E. Exner, V. Schumacher) Vol 1. 493-498. DGM Informationsgesellschaft Verlag. Oberursel (1990)
A. Bertram: Axiomatische Einführung in die Kontinuumsmechanik, BI-Wissenschaftsverlag. Mannheim, Wien, Zürich (1989) (beim Autor erhältlich)
A. Bertram, R. Sampaio: A constitutive theory of frictional systems, in: Mechanik - Beiträge zu Theorie und Anwendungen. (Hrg.: A. Bertram, S. M. Nasseri, R. Sievert) 12-26 (1988)
A. Bertram: Symmetry properties of fourth-order tensors with applications in continuum mechanics, Investigaciones ciencias e ingenierias, Revista de la Universidad Industrial de Santander, 15,1, 41-55 (1985)
A. Bertram: An Axiomatic Approach to Classical Dynamics Based on an Objective Power Functional, Forschungsbericht Nr. 1, Hrg.: 2. Institut für Mechanik, TU Berlin (1983)
A. Bertram: Thermo-mechanical Constitutive Equations for the Description of Shape Memory Effects in Alloys, Nuclear Engng. Design, 74, 173 - 182 (1982)
A. Bertram: Material Systems - a Framework for the Description of Material Behavior, Arch. Rat. Mech. Anal., 80.2, 99 - 133 (1982)
A. Bertram: An Introduction of Internal Constraints in a Natural Way,ZAMM 60, T100-T101 (1980)