Prof. Dr.rer.nat.habil. Meinhard Kuna

Fracture mechanics

• Basic investigations in failure behavior of engineering materials
• Numerical computations to quantify, validate and evaluate fracture mechanical test methods
• Contract research for various engineering branches to certificate strength, safety and life time of structural components

Damage mechanics / continuum mechanics

• Theory of plasticity, viscoplasticity, phase transformation
• ductile failure of metallic materials (Gurson, Rousselier)
• Creep damage and thermomechanical fatigue
• Brittle failure of ceramic materials

Computational methods in solid and fracture mechanics

• Method of Finite Elements (FEM),
• Boundary Element Method (BEM)
• Efficient FEM- and BEM-Algorithms for fracture mechanical stress analyses of structures with cracks under complex loading conditions

Modeling of smart materials

• fracture mechanics of piezo- and ferroelectric ceramics
• Design of piezoelectric sensors, Actuators and devices
• Adaptive smart mechanical Systems and Composites

Development of miniaturized test methods

• Small Punch Test
• Tensile, bend specimens of millimeter dimension
• Nano-indentation technique

Mechanical issues in semi-conductor- and microtechnology

• numerical simulation for design and reliability of micro devises
• Failure behavior of Silicon
• Wire sawing of semi-conductor materials

• http://tu-freiberg.de/en/fakult4/imfd/fkm/professuren/applied-mechanics-solid-mechanics/research/projects

• Engineering Mechanics A (Static)
• Engineering Mechanics B (Theory of Strength)
• Higher Theory of Strength
• Continuum Mechanics
• Mechanics of Materials
• Fracture Mechanics Computations
• Damage Mechanics
• Dean of Study for the international Master Course “Computational Materials Science”

• GAMM (German Society of Applied Mathematics and Mechanics) since 1994 
• DVM (German Society of Materials Research and Testing): member since 1990,
  Chairman of Working Committee “Fracture Mechanics” 2003-2007
• ESIS (Europaen Structural Integrity Society), ESIS-Council Member 2003-2009
• ICF (International Congress on Fracture), Voting Representative for Germany 2003-2009

• Editor-in-Chief: Engineering Fracture Mechanics
  https://www.journals.elsevier.com/engineering-fracture-mechanics
• Member of Editorial Board: International Journal of Fracture
• Member of Editorial Board: Archive of Applied Mechanics
• Reviewer for several international Journals

1977    Price of President Academy of Sciences for Young Researchers

1981    Price of Academy of Sciences for International Cooperation (Czech Republic)

2011    Julius Weisbach Price of TU Bergakademie Freiberg for outstanding merits in teaching

2014    International TEXTY Award (USA) for best Textbook in Engineering

2015    August-Wöhler Medal of Deutschen Verbandes für Materialforschung u. -prüfung

• Kuna, M.: Finite Elements in Fracture Mechanics; Theory - Numerics - Applications, Series: Solid Mechanics and its Applications, Vol. 201, Springer (2013) Hardcover and eBook, ISBN 978-94-007-6680-8

• 

  Kuna, M.: Numerische Beanspruchungsanalyse von Rissen: FEM in der Bruchmechanik, Vieweg-Teubner Verlag, Wiesbaden, 2010, 2.Edition, 447 Seiten, ISBN: 978-3-8348-1006-9
  Verlagsinformationen

• Kuna, M., Ricoeur, A. (Eds.): Proc. IUTAM Symposium on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials, IUTAM Bookseries, Vol. 24, 2011, 396 p., Hardcover, ISBN: 978-90-481-9886-3
  Verlagsinformationen

• Kuna, M. (Ed.) Fortschritte in der Bruch- und Schädigungsmechanik, DVM-Berichte 236 -239, Jahrestagungen des DVM-Arbeitskreises Bruchvorgänge, 2004-2007, ISBN: 3-540-24195-7

Further information: http://tu-freiberg.de/fakult4/imfd/fkm/publikationen

Complete list of publication: PDF-Download

• Kuna, M.
  Fracture mechanics of piezoelectric materials - Where are we right now?
  Engineering Fracture Mechanics, 77 (2), pp. 309-326, (2010).
  DOI: 10.1016/j.engfracmech.2009.03.016
  
• Kuna, M., Sun, D.Z.
  Three-dimensional cell model analyses of void growth in ductile materials
  International Journal of Fracture, 81 (3), pp. 235-258, (1996).
• Kuna, M.
  Finite element analyses of crack problems in piezoelectric structures
  Computational Materials Science, 13 (1-3), pp. 67-80, (1998).
• Kuna, M.
  Finite element analyses of cracks in piezoelectric structures: A survey
  Archive of Applied Mechanics, 76 (11-12), pp. 725-745, (2006).
  DOI: 10.1007/s00419-006-0059-z
• Abendroth, M., Kuna, M.
  Identification of ductile damage and fracture parameters from the small punch test using neural networks
  Engineering Fracture Mechanics, 73 (6), pp. 710-725, (2006).
  DOI: 10.1016/j.engfracmech.2005.10.007
• Enderlein, M., Ricoeur, A., Kuna, M.
  Finite element techniques for dynamic crack analysis in piezoelectrics
  International Journal of Fracture, 134 (3-4), pp. 191-208, (2005).
  DOI: 10.1007/s10704-005-0522-9
• Abendroth, M., Kuna, M.
  Determination of deformation and failure properties of ductile materials by means of the small punch test and neural networks
  Computational Materials Science, 28 (3-4 SPEC. ISS.), pp. 633-644, (2003).
  DOI: 10.1016/j.commatsci.2003.08.031
• Shang, F., Kuna, M., Abendroth, M.
  Finite element analyses of three-dimensional crack problems in piezoelectric structures
  Engineering Fracture Mechanics, 70 (2), pp. 143-160, (2003).
  DOI: 10.1016/S0013-7944(02)00039-5
• Ricoeur, A., Kuna, M.
  Influence of electric field on the fracture of ferroelectric ceramics
  Journal of the European Ceramic Society, 23 (8), pp. 1313-1328, (2003).
  DOI: 10.1016/S0955-2219(02)00302-3
• Béchet, E., Scherzer, M., Kuna, M.
  Application of the X-FEM to the fracture of piezoelectric materials
  International Journal for Numerical Methods in Engineering, 77 (11), (2009).
  DOI: 10.1002/nme.2455
• Wippler, K., Ricoeur, A., Kuna, M.
  Towards the computation of electrically permeable cracks in piezoelectrics
  Engineering Fracture Mechanics, 71 (18), pp. 2567-2587, (2004).
  DOI: 10.1016/j.engfracmech.2004.03.003
• Abendroth, M., Groh, U., Kuna, M., Ricoeur, A.
  Finite element-computation of the electromechanical J-integral for 2-D and 3-D crack analysis
  International Journal of Fracture, 114 (4), pp. 359-378, (2002).
  DOI: 10.1023/A:1015725725879
• Springmann, M., Kuna, M.
  Identification of material parameters of the Gurson-Tvergaard-Needleman model by combined experimental and numerical techniques
  Computational Materials Science, 32 (3-4), pp. 544-552, (2005).
  DOI: 10.1016/j.commatsci.2004.09.010
• Bahr, H.-A., Balke, H., Kuna, M., Liesk, H.
  Fracture analysis of a single edge cracked strip under thermal shock
  Theoretical and Applied Fracture Mechanics, 8 (1), pp. 33-39, (1987).
  DOI: 10.1016/0167-8442(87)90016-4
• Funke, C., Kullig, E., Kuna, M., Möller, H.J.
  Biaxial fracture test of silicon wafers
  Advanced Engineering Materials, 6 (7), pp. 594-598+472, (2004).
  DOI: 10.1002/adem.200400406
• Springmann, M., Kuna, M.
  Identification of material parameters of the Rousselier model by non-linear optimization
  Computational Materials Science, 26 (SUPPL.), pp. 202-209, (2003).
  DOI: 10.1016/S0927-0256(02)00400-7
• Richard, H.A., Kuna, M.
  Theoretical and experimental study of superimposed fracture modes I, II and III
  Engineering Fracture Mechanics, 35 (6), pp. 949-960, (1990).
  DOI: 10.1016/0013-7944(90)90124-Y
• Westram, I., Ricoeur, A., Emrich, A., Rödel, J., Kuna, M.
  Fatigue crack growth law for ferroelectrics under cyclic electrical and combined electromechanical loading
  Journal of the European Ceramic Society, 27 (6), pp. 2485-2494, (2007).
  DOI: 10.1016/j.jeurceramsoc.2006.09.010
• Scherzer, M., Kuna, M.
  Combined analytical and numerical solution of 2D interface corner configurations between dissimilar piezoelectric materials
  International Journal of Fracture, 127 (2), pp. 61-99, (2004).
• Ricoeur, A., Kuna, M.
  Electrostatic tractions at crack faces and their influence on the fracture mechanics of piezoelectrics
  International Journal of Fracture, 157 (1-2), pp. 3-12, (2009).
  DOI: 10.1007/s10704-009-9321-z
• Springmann, M., Kuna, M.
  Identification of material parameters of the Gurson-Tvergaard-Needleman model by combined experimental and numerical techniques
  Computational Materials Science, 33 (4), pp. 501-509, (2005).
  DOI: 10.1016/j.commatsci.2005.02.002
• Wünsche, M., Zhang, Ch., Sladek, J., Sladek, V., Hirose, S., Kuna, M.
  Transient dynamic analysis of interface cracks in layered anisotropic solids under impact loading
  International Journal of Fracture, 157 (1-2), pp. 131-147, (2009).
  DOI: 10.1007/s10704-008-9262-y
• Ricoeur, A., Kuna, M.
  Electrostatic tractions at dielectric interfaces and their implication for crack boundary conditions
  Mechanics Research Communications, 36 (3), pp. 330-335, (2009).
  DOI: 10.1016/j.mechrescom.2008.09.009
• Rao, B.N., Kuna, M.
  Interaction integrals for fracture analysis of functionally graded piezoelectric materials
  International Journal of Solids and Structures, 45 (20), pp. 5237-5257, (2008).
  DOI: 10.1016/j.ijsolstr.2008.05.020
• Linse, T., Kuna, M., Schuhknecht, J., Viehrig, H.-W.
  Usage of the small-punch-test for the characterisation of reactor vessel steels in the brittle-ductile transition region
  Engineering Fracture Mechanics, 75 (11), pp. 3520-3533, (2008).
  DOI: 10.1016/j.engfracmech.2007.03.047
• Ricoeur, A., Kuna, M.
  A micromechanical model for the fracture process zone in ferroelectrics
  Computational Materials Science, 27 (3), pp. 235-249, (2003).
  DOI: 10.1016/S0927-0256(02)00360-9
• Ricoeur, A., Enderlein, M., Kuna, M.
  Calculation of the J-integral for limited permeable cracks in piezoelectrics
  Archive of Applied Mechanics, 74 (8), pp. 536-549, (2005).
  DOI: 10.1007/s00419-004-0370-5
• Kulawinski, D., Nagel, K., Henkel, S., Hübner, P., Fischer, H., Kuna, M., Biermann, H.
  Characterization of stress-strain behavior of a cast TRIP steel under different biaxial planar load ratios
  Engineering Fracture Mechanics, 78 (8), pp. 1684-1695, (2011).
  DOI: 10.1016/j.engfracmech.2011.02.021
• Shang, F., Kuna, M., Scherzer, M.
  Analytical solutions for two penny-shaped crack problems in thermo-piezoelectric materials and their finite element comparisons
  International Journal of Fracture, 117 (2), pp. 113-128, (2002).
  DOI: 10.1023/A:1020976012521
• Groh, U., Kuna, M.
  Efficient boundary element analysis of cracks in 2D piezoelectric structures
  International Journal of Solids and Structures, 42 (8), pp. 2399-2416, (2005).
  DOI: 10.1016/j.ijsolstr.2004.09.023
• Jackiewicz, J., Kuna, M.
  Non-local regularization for FE simulation of damage in ductile materials
  Computational Materials Science, 28 (3-4 SPEC. ISS.), pp. 684-695, (2003).
  DOI: 10.1016/j.commatsci.2003.08.024
• Shang, F., Kuna, M., Kitamura, T.
  Theoretical investigation of an elliptical crack in thermopiezoelectric material. Part I: Analytical development
  Theoretical and Applied Fracture Mechanics, 40 (3), pp. 237-246, (2003).
  DOI: 10.1016/j.tafmec.2003.08.003
• Enderlein, M., Ricoeur, A., Kuna, M.
  Comparison of finite element techniques for 2D and 3D crack analysis under impact loading
  International Journal of Solids and Structures, 40 (13-14), pp. 3425-3437, (2003).
  DOI: 10.1016/S0020-7683(03)00117-3
• Rao, B.N., Kuna, M.
  Interaction integrals for fracture analysis of functionally graded magnetoelectroelastic materials
  International Journal of Fracture, 153 (1), pp. 15-37, (2008).
  DOI: 10.1007/s10704-008-9285-4
• Wippler, K., Kuna, M.
  Crack analyses in three-dimensional piezoelectric structures by the BEM
  Computational Materials Science, 39 (1 SPEC. ISS.), pp. 261-266, (2007).
  DOI: 10.1016/j.commatsci.2006.03.023
• Kuna, M., Sun, D.-Z.
  Analyses of void growth and coalescence in cast iron by cell models
  Journal De Physique. IV : JP, 6 (6), pp. C6-113-C6-122, (1996).
• Jański, Ł., Scherzer, M., Steinhorst, P., Kuna, M.
  Adaptive finite element computation of dielectric and mechanical intensity factors in piezoelectrics with impermeable cracks
  International Journal for Numerical Methods in Engineering, 81 (12), pp. 1492-1513, (2010).
  DOI: 10.1002/nme.2742
• Zybell, L., Mühlich, U., Kuna, M.
  Constitutive equations for porous plane-strain gradient elasticity obtained by homogenization
  Archive of Applied Mechanics, 79 (4), pp. 359-375, (2009).
  DOI: 10.1007/s00419-008-0238-1
• Rabold, F., Kuna, M.
  Cell model simulation of void growth in nodular cast iron under cyclic loading
  Computational Materials Science, 32 (3-4), pp. 489-497, (2005).
  DOI: 10.1016/j.commatsci.2004.09.016
• Nassauer, B., Liedke, T., Kuna, M.
  Polyhedral particles for the discrete element method: Geometry representation, contact detection and particle generation
  Granular Matter, 15 (1), pp. 85-93, (2013).
  DOI: 10.1007/s10035-012-0381-9
• Li, Q., Kuna, M.
  Evaluation of electromechanical fracture behavior by configurational forces in cracked ferroelectric polycrystals
  Computational Materials Science, 57, pp. 94-101, (2012).
  DOI: 10.1016/j.commatsci.2011.01.050
• Kuna, M., Springmann, M., Mädler, K., Hübner, P., Pusch, G.
  Fracture mechanics based design of a railway wheel made of austempered ductile iron
  Engineering Fracture Mechanics, 72 (2), pp. 241-253, (2005).
  DOI: 10.1016/j.engfracmech.2003.10.007
• Kuna, M., Zwicke, M.
  A mixed hybrid finite element for three-dimensional elastic crack analysis
  International Journal of Fracture, 45 (1), pp. 65-79, (1990).
  DOI: 10.1007/BF00012610
• Kuna, M.
  An application of the finite element method to elastic-plastic analysis of the compact tension fracture test specimen
  International Journal of Fracture, 12 (1), pp. 175-177, (1976).
  DOI: 10.1007/BF00036026
• Springmann, M., Kuna, M.
  Determination of ductile damage parameters by local deformation fields: Measurement and simulation
  Archive of Applied Mechanics, 75 (10-12), pp. 775-797, (2006).
  DOI: 10.1007/s00419-006-0033-9
• Shang, F., Kuna, M.
  Thermal stress around a penny-shaped crack in a thermopiezoelectric solid
  Computational Materials Science, 26 (SUPPL.), pp. 197-201, (2003).
  DOI: 10.1016/S0927-0256(02)00399-3
• Linse, T., Hütter, G., Kuna, M.
  Simulation of crack propagation using a gradient-enriched ductile damage model based on dilatational strain
  Engineering Fracture Mechanics, 95, pp. 13-28, (2012).
  DOI: 10.1016/j.engfracmech.2012.07.004
• Liedke, T., Kuna, M.
  A macroscopic mechanical model of the wire sawing process
  International Journal of Machine Tools and Manufacture, 51 (9), pp. 711-720, (2011).
  DOI: 10.1016/j.ijmachtools.2011.05.005
• Kuna, M., Wippler, S.
  A cyclic viscoplastic and creep damage model for lead free solder alloys
  Engineering Fracture Mechanics, 77 (18), pp. 3635-3647, (2010).
  DOI: 10.1016/j.engfracmech.2010.03.015
• Mottitschka, T., Pusch, G., Biermann, H., Zybell, L., Kuna, M.
  Influence of overloads on the fatigue crack growth in nodular cast iron: Experiments and numerical simulation
  Procedia Engineering, 2 (1), pp. 1557-1567, (2010).
  DOI: 10.1016/j.proeng.2010.03.168