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Articles

2018

  • W. Kijanski, F.-J. Barthold:
    tructural optimisation on multiple scales based on numerical homogenisation techniques
    Accepted for publication in Proc. Appl. Math. Mech. (2018).
  • W. Kijanski, F.-J. Barthold:
    Sensitivity analysis as a tool for optimal material design
    In Proc. 6th European Conference on Computational Mechanics (ECCM 6) and 7th European Conference on Computational Fluid Dynamics (ECFD 7) (2018).
    Link
2017
  • W. Kijanski, F.-J. Barthold:
    Variational sensitivity analysis in the scope of multiscale problems
    In Proc. 7th GACM Colloquium on Computational Mechanics (2017), pp.378-381.
    DOI
  • F.-J. Barthold, J. Liedmann:
    Remarks on Variational Sensitivity Analysis of Elastoplastic Deformations
    Submitted to ESAFORM 2017: proceedings of the 20th International ESAFORM Conference on Material Forming, Dublin, Ireland (2017).
  • W. Kijanski, F.-J. Barthold:
    Variational sensitivity analysis of physical reaction forces and application to multiscale problems
    Proc. Appl. Math. Mech. (2017), pp. 605-606.
    DOI
  • J. Liedmann, F.-J. Barthold:
    Exploration of Internal Response Sensitivities of Materially Nonlinear Structures
    Proc. Appl. Math. Mech. (2017), pp. 745-746.
    DOI
  • L. Radau, N. Gerzen, F.-J. Barthold:
    Sensitivity of structural response in context of linear and non-linear buckling analysis with solid shell finite elements
    Structural and Multidisciplinary Optimization (2017), pp. 1-25.
    DOI
2016
  • L. Radau, N. Gerzen, F.-J. Barthold:
    Sensitivity of structural response in context of linear and non-linear buckling analysis with solid shell finite elements
    Structural and Multidisciplinary Optimization (2017), pp. 1-25.
    DOI
  • L. Radau, N. Gerzen, F.-J. Barthold:
    Structural design sensitivity analysis in context of non-linear buckling
    Proc. Appl. Math. Mech. 16 (2016), pp. 711-712.
    DOI
  • J. Liedmann, F.-J. Barthold:
    Optimisation of Structures with Inelastic Deformations
    Proc. Appl. Math. Mech. 16 (2016), pp. 703-704.
    DOI
  • W. Kijanski, F.-J. Barthold:
    Structural optimisation of multiscale problems based on variational sensitivity analysis
    Proc. Appl. Math. Mech. 16 (2016), pp. 533-534.
    DOI
  • F.-J. Barthold, N. Gerzen, W. Kijanski and D. Materna:
    Efficient variational design sensitivity analysis
    In Book: Mathematical Modeling and Optimization of Complex Structures, Springer, pages 229-257.
    DOI
2015
  • F.-J. Barthold, D. Materna:
    A modified xfem approach for design sensitivity analysis
    International Journal for Numerical Methods in Engineering, 104: 209-234.
    URL
2014
  • W. Kijanski, F.-J. Barthold:
    Remarks on different strategies for sensitivity analysis of multiscale problems in structural optimisation
    Proc. Appl. Math. Mech. 14 (2014), pp. 795-796.
    DOI
  • N. Gerzen, F.-J. Barthold:
    Design space exploration based on variational sensitivity analysis
    Proc. Appl. Math. Mech. 14 (2014), pp. 783-784.
    DOI
2013
  • N. Gerzen, F.-J. Barthold, S. Klinkel, W. Wagner, D. Materna:
    Variational sensitivity analysis of a nonlinear solid shell element.
    International Journal for Numerical Methods in Engineering 96 (2013), pp. 29-42.
    DOI
  • N. Gerzen, F.-J. Barthold:
    Variational design sensitivity analysis of a non-linear solid shell with applications to buckilng analysis.
    In proc. of the 10th World Congress on Structural and Multidisciplinary Optimization WCSMO10 (2013).
    DOI
2012
  • F.-J. Barthold:
    Shape sensitivity analysis in the extended finite element method.
    Proc. Appl. Math. Mech. 12 (2012), pp. 693-694.
    DOI
  • F.-J. Barthold:
    A structural optimisation viewpoint on growth phenomena.
    Bulletin of the Polish Academy of Sciences 60 (2012), pp. 247-252.
    URL
  • N. Gerzen, F.-J. Barthold:
    Enhanced analysis of design sensitivities in topology optimisation.
    Structural and Multidisciplinary Optimization 46 (2012), pp. 858-595.
    DOI
  • N. Gerzen, D. Materna, F.-J. Barthold:
    The inner structure of sensitivities in nodal based shape optimisation.
    Computational Mechanics 49 (2012), pp. 379-396.
    DOI
2011
  • D. Materna, F.-J. Barthold:
    Variational design sensitivity analysis of dual problems with applications to error analysis.
    Proc. Appl. Math. Mech. 11 (2011), pp. 799-800.
    DOI
  • N. Gerzen, F.-J. Barthold:
    Shape optimisation analysing the inner structure of sensitivity matrices.
    Proc. Appl. Math. Mech. 11 (2011), pp. 711-712.
    DOI
2010
  • Materna, D. & Barthold, F.-J.
    Theoretical aspects and applications of variational sensitivity analysis in the physical and material space.
    Linton, R. F. & Carroll, T. B. (ed.) Computational Optimization: New Research Developments, Nova Science Publishers, 2010
  • N. Gerzen, F.-J. Barthold:
    Model reduction in topology optimisation analysing the inner structure of sensitivity matrices.
    Proc. Appl. Math. Mech. 10 (2010), pp. 535-536.
    DOI
  • D. Materna, F.-J. Barthold:
    Error analysis and improvement of first-order design sensitivity relations.
    Proc. Appl. Math. Mech. 10 (2010), pp. 583-584.
    DOI
2009
  • N. Gerzen, F.-J. Barthold:
    Applications of singular value decomposition in structural optimisation.
    Proc. Appl. Math. Mech. 9 (2009), pp. 579-580.
    DOI
  • Barthold, F.-J. & Rotthaus, M.
    Analysis and Optimisation of Interfaces for Multi-Material Structures.
    Ganghoffer, J.F.. & Pastrone, F. (ed.) Mechanics of Microstructured Solids -- Cellular Materials, Fibre Reinforced Solids and Soft Tissues,
    Springer-Verlag, 2009, Lecture Notes in Applied and Computational Mechanics, Vol. 46, pp. 13-20
    DOI
  • Materna, D. & Barthold, F.-J.
    Configurational variations for the primal and dual problem in elasticity.
    Z. Angew. Math. Mech., 2009, Vol. 89(8), pp. 666-676
    DOI
  • Materna, D. & Barthold, F.-J.
    Goal-oriented r-adaptivity based on variational arguments in the physical and material spaces.
    Comput. Methods Appl. Mech. Engrg., 2009, Vol. 198(41-44), pp. 3335-3351
    DOI
  • Materna, D. & Barthold, F.-J.
    A variational framework for dual solutions in the physical and material space.
    Steinmann, P. (ed.) IUTAM Symposium on Progress in the Theory and Numerics of Configurational Mechanics, Springer-Verlag, 2009, IUTAM Bookseries, Vol. 17, pp. 95-105
    DOI
2008
  • Rotthaus, M. & Barthold, F.-J.
    Structural optimization of multi-material structures.
    Toropov, V. V., Querin, O. M., Kim, H. A., Butler, R. & Sienz, J. (ed.) Proc. 7th ASMO-UK/ISSMO Conf. on Engineering Design Optimization, 2008
    URL
  • Materna, D. & Barthold, F.-J.
    Goal-oriented r-adaptivity based on the evaluation of the physical and material residual.
    Proc. Appl. Math. Mech., 2008, Vol. 8(1), pp. 10307-10308
    DOI
  • Barthold, F.-J.
    Remarks on variational shape sensitivity analysis based on local coordinates.
    Engineering Analysis with Boundary Elements, 2008, Vol. 32(11), pp. 971-985
    DOI
  • Materna, D. & Barthold, F.-J.
    On variational sensitivity analysis and configurational mechanics.
    Computational Mechanics, 2008, Vol. 41(5), pp. 661-681
    DOI
2007
  • Barthold, F.-J. & Stieghan, J.
    Aspects of shape and parameter sensitivity analysis in the theory of porous media.
    Proc. Appl. Math. Mech., 2007, Vol. 7(1), pp. 4060007-4060008
    DOI
  • Rotthaus, M. & Barthold, F.-J.
    Aspects of sensitivity analysis using the level set method in structural optimization.
    Proc. Appl. Math. Mech., 2007, Vol. 7(1), pp. 4040041-4040042
    DOI
  • Materna, D. & Barthold, F.
    Variational sensitivity analysis and changes in the material configuration.
    Proc. Appl. Math. Mech., 2007, Vol. 7(1), pp. 1090105 - 1090106
    DOI
  • Materna, D. & Barthold, F.-J.
    Variational design sensitivity analysis in the context of structural optimization and configurational mechanics.
    Int. J. Fract., 2007, Vol. 147(1-4), pp. 133-155
    DOI
  • Barthold, F.-J. & Rotthaus, M.
    Remarks on Interface Models in Structural Analysis and Sensitivity Analysis.
    Proc. 7th World Congress on Structural and Multidisciplinary Optimization, 2007, pp. 2459-2468
  • Barthold, F.-J. & Materna, D.
    Remarks on different strategies for variational design sensitivity analysis.
    Proc. 7th World Congress on Structural and Multidisciplinary Optimization, 2007, pp. 1348-1357
  • Barthold, F.-J. & Stieghan, J.
    On Sensitivity Analysis in the Theory of Porous Media.
    Proc. 7th World Congress on Structural and Multidisciplinary Optimization, 2007, pp. 2449-2458
2006
  • Barthold, F.-J. & Wiechmann, K.
    A comparison of displacement and mixed finite element formulations for variational design sensitivity analysis.
    Soares, C. M. (ed.) Proc. III European Conference on Computational Mechanics on Solids, Structures and Coupled Problems in Engineering, 2006
  • Materna, D. & Barthold, F.-J.
    Relations between Structural Optimization and Configurational Mechanics with Applications to Mesh Optimization.
    Sienz, J., Querin, O., Toropov, V. & Gosling, P. (ed.) Proc. 6th ASMO-UK/ISSMO Conf. on Engineering Design Optimization, University of Leeds, UK, 2006, pp. 173-181
    URL
  • Materna, D. & Barthold, F.-J.
    Coherence of Structural Optimization and Configurational Mechanics.
    Proc. Appl. Math. Mech., 2006, Vol. 6(1), pp. 245-246
    DOI
2005
  • Banichuk, N., Barthold, F.-J. & Serra, M.
    Optimization of axisymmetric membrane shells against brittle fracture.
    Meccanica, Springer-Verlag, 2005, Vol. 40, pp. 135-145
    DOI
  • Barthold, F.-J.
    A short guide to variational design sensitivity analysis.
    Herskovits, J., Mazorche, S. & Canelas, A. (ed.) WCSMO 6 -- CDROM Proceedings, ISSMO, 2005
    URL
  • Barthold, F.-J.
    Remarks on the application of design sensitivity analysis to fracture mechanics.
    Proc. Int. Congress Fracture (ICF 11), 2005
    URL
  • Barthold, F.-J.
    On structural optimization and configurational mechanics.
    Maugin, G. & Steinmann, P. (ed.) Mechanics of Material Forces, Springer-Verlag, 2005, pp. 219-228
    DOI
2004
  • Barthold, F.-J.
    Continuum mechanics and inverse problems.
    Querin, O. M., Gosling, P. D., Sienz, J. & Toropov, V. V. (ed.) Proc. 5th ASMO UK/ISSMO Conference on Engineering Design Optimization, 2004
    URL
2003
  • Barthold, F.-J.
    A structural optimization viewpoint on configurational mechanics.
    Proc. Appl. Math. Mech., 2003, Vol. 3(1), pp. 246-247
    DOI
2001
  • Barthold, F.-J.
    Continuum mechanics and inverse problems.
    Bendsøe, M., Olhoff, N. & Rasmussen, J. (ed.) Proc. 2nd Max Planck Workshop on Engineering Design Optimization, Department of Mathematics, DTU Lyngby, Denmark, 2001, pp. 15-16
  • Barthold, F.-J.
    Efficient design sensitivity analysis.
    Sonar, T. & Thomas, I. (ed.) Discrete Modelling and Discrete Algorithms in Continuum Mechanics, Logos Verlag, 2001, pp. 16-26
2000
  • Banichuk, N., Saurin, V., Borovkov, A., Palmov, V., Barthold, F.-J. & Stein, E.
    Shape optimization of layered structures under strength constraints induced by interlaminary fracture.
    Problems of Strength and Plasticity, Nizhni Novgorod University Press, Nizhni Novgorod, 2000(62), pp. 19-30
  • Borovkov, A., Palmov, V., Banichuk, N., Stein, E., Saurin, V., Barthold, F.-J. & Misnik, Y.
    Macrofailure criterion and optimization of composite structures with edge delamination.
    Int. Journal for Computational Civil and Structural Engineering, 2000, Vol. 1(1), pp. 91-104
  • Wiechmann, K., Barthold, F.-J. & Stein, E.
    Shape optimization of shakedown analysis problems.
    Weichert, D. & Maier, G. (ed.) Inelastic Analysis of Structures under Variable Loads: Theory and Engineering Applications, Kluwer Academic Publisher, 2000, Solid Mechanics and its Applications 83, pp. 49-68
  • Barthold, F.-J. & Firuziaan, M.
    Optimization of hyperelastic materials with isotropic damage.
    Structural Optimization, 2000, Vol. 20(1), pp. 12-21
    DOI
  • Borovkov, A., Palmov, V., Banichuk, N., Saurin, V., Barthold, F.-J. & Stein, E.
    Macro-failure criterion for the theory of laminated composite structures with free edge laminations.
    Computers and Structures, 2000, Vol. 76(1-3), pp. 195-2004
    DOI
1999
  • Barthold, F.-J. & Mesecke, S.
    Some remarks on robust design.
    Mota Soares, C., Mota Soares, C. & Freitas, M. (ed.) Mechanics of Composite Materials and Structures, Kluwer Academic Publisher, 1999, pp. 351-360
  • Barthold, F.-J. & Mesecke, S.
    Remarks on computing the energy release rate and its sensitivities.
    Mota Soares, C., Mota Soares, C. & Freitas, M. (ed.) Mechanics of Composite Materials and Structures, Kluwer Academic Publisher, 1999, pp. 341-350
  • Barthold, F.-J.
    Remarks on linear and nonlinear variational design sensitivity analysis.
    Mota Soares, C., Mota Soares, C. & Freitas, M. (ed.) Mechanics of Composite Materials and Structures, Kluwer Academic Publisher, 1999, pp. 331-339
  • Stein, E. & Barthold, F.-J.
    Optimization of thin-walled structures.
    Mota Soares, C., Mota Soares, C. & Freitas, M. (ed.) Mechanics of Composite Materials and Structures, Kluwer Academic Publisher, 1999, pp. 361-368
  • Falk, A., Barthold, F.-J. & Stein, E.
    A hierarchical design concept for shape optimization based on the interaction of CAGD and FEM.
    Structural Optimization, 1999, Vol. 18(1), pp. 12-23
    DOI
1998
  • Barthold, F.-J., Schmidt, M. & Stein, E.
    Error indicators and mesh refinements for finite element computations of elastoplastic deformations.
    Computational Mechanics, 1998, Vol. 22(3), pp. 225-238
    DOI
  • Stein, E., Barthold, F.-J., Ohnimus, S. & Schmidt, M.
    Adaptive finite elements in elastoplasticity with mechanical error indicators and Neumann-type estimators.
    Idelsohn, S., Oñate, E. & Dvorkin, E. (ed.) Computational Mechanics -- New Trends and Applications, CIMNE, 1998
  • Barthold, F.-J.
    Remarks on continuum mechanics and sensitivities.
    Mahnken, R. (ed.) Theoretische und numerische Methoden in der angewandten Mechanik mit Praxisbeispielen, Institut für Baumechanik und Numerische Mechanik, Universität Hannover, 1998, pp. 41-48
  • Wiechmann, K. & Barthold, F.-J.
    Remarks on variational design sensitivity analysis of structures with large elastic-plastic deformations.
    7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, 1998, pp. 349-358
  • Stein, E., Barthold, F.-J., Ohnimus, S. & Schmidt, M.
    Adaptive finite elements in elastoplasticity with mechanical error indicators and Neumann-type estimators.
    Ladevèze, P. & Oden, J. (ed.) Advances in Adaptive Computational Methods in Mechanics, Elsevier Applied Science, 1998, Studies in Applied Mechanics, Vol. 47, pp. 81-99
    DOI
1997
  • Barthold, F.-J., Schmidt, M. & Stein, E.
    Error indicators and mesh refinements for finite element computations of elastoplastic deformations.
    Metsaveer, J. (ed.) Proc. Tenth Nordic Seminar on Computational Mechanics, Nordic Association for Computational Mechanics, Tallinn, Estonia, 1997
  • Meyer, L., Barthold, F.-J. & Stein, E.
    Remarks on shape optimization of dynamically loaded structures.
    Gutkowski, W. & Mróz, Z. (ed.) Proceedings of the Second World Congress on Structural and Multidisciplinary Optimization, Institute of Fundamental Technological Research, Polish Academy of Science, 1997, Vol. 2, pp. 607-612
  • Wiechmann, K., Barthold, F.-J. & Stein, E.
    Optimization of elasto-plastic structures using the finite element method.
    Gutkowski, W. & Mróz, Z. (ed.) Proceedings of the Second World Congress on Structural and Multidisciplinary Optimization, Institute of Fundamental Technological Research, Polish Academy of Science, 1997, Vol. 2, pp. 1013-1018
  • Barthold, F.-J. & Stein, E.
    Implementing variational design sensitivity analysis.
    Gutkowski, W. & Mróz, Z. (ed.) Proceedings of the Second World Congress on Structural and Multidisciplinary Optimization, Institute of Fundamental Technological Research, Polish Academy of Science, 1997, Vol. 1, pp. 181-186
  • Barthold, F.-J., Schmidt, M. & Stein, E.
    Error estimation and mesh adaptivity for elastoplastic deformations.
    Owen, D., Oñate, E. & Hinton, E. (ed.) Computational Plasticity -- Fundamentals and Applications, CIMNE, 1997, pp. 597-602
  • Barthold, F.-J. & Wiechmann, K.
    Variational design sensitivity for inelastic deformations.
    Owen, D., Oñate, E. & Hinton, E. (ed.) Computational Plasticity -- Fundamentals and Applications, CIMNE, 1997, pp. 792-797
1996
  • Barthold, F.-J., Schmidt, M. & Stein, E.
    Adaptive finite element method for Prandtl-Reuß elastoplasticity.
    Bach, M., Constanda, C., Hsiao, G., Sändig, A.-M. & Werner, P. (ed.) Analysis, Numerics and Applications of Differential and Integral Equations, Addison Wesley Longman, 1996, Pitman Research Notes in Mathematics Science 379, pp. 25-30
  • Stein, E. & Barthold, F.-J.
    Optimierungsprobleme in der Mechanik.
    Braunschweigische Wissenschaftliche Gesellschaft, Jahrbuch 1995, Verlag Erich Goltze GmbH & Co. KG, Göttingen, 1996, pp. 45-51
  • Banichuk, N., Barthold, F.-J., Falk, A. & Stein, E.
    Finite element analysis with mesh refinement for shape optimization.
    Control and Cybernetics, 1996, Vol. 25(3), pp. 657-664
  • Stein, E. & Barthold, F.-J.
    Elastizitätstheorie.
    Mehlhorn, G. (ed.) Der Ingenieurbau, Grundwissen: Werkstoffe, Elastizitätstheorie, Ernst & Sohn, 1996, pp. 165-428
  • Barthold, F.-J. & Stein, E.
    Error estimation and mesh adaptivity for elasto-plastic deformations.
    Zeitschrift für Angewandte Mathematik und Mechanik, 1996, Vol. 76, pp. 159-162
    DOI
  • Barthold, F.-J., Stander, N. & Stein, E.
    A performance comparison of SAM and SQP methods for structural shape optimization.
    Structural Optimization, 1996, Vol. 11, pp. 102-112
    DOI
  • Barthold, F.-J. & Stein, E.
    A continuum mechanical based formulation of the variational sensitivity analysis in structural optimization. Part I: Analysis.
    Structural Optimization, 1996, Vol. 11(1/2), pp. 29-42
    DOI
1995
  • Falk, A., Barthold, F.-J. & Stein, E.
    Hierarchical modelling in shape optimization.
    Olhoff, N. & Rozvany, G. (ed.) Proceedings of the First World Congress on Structural and Multidisciplinary Optimization, Pergamon, 1995, pp. 371-376
  • Barthold, F.-J. & Stein, E.
    Variational sensitivity analysis and optimal design in finite elasticity -- with applications to rubber materials.
    Olhoff, N. & Rozvany, G. (ed.) Proceedings of the First World Congress on Structural and Multidisciplinary Optimization, Pergamon, 1995, pp. 413-420
  • Banichuk, N., Barthold, F.-J., Falk, A. & Stein, E.
    Mesh refinement for shape optimization.
    Structural Optimization, 1995, Vol. 9(1), pp. 46-51
    DOI
  • Falk, A. & Barthold, F.-J.
    Ein hierarchisches Verfahren für die Formoptimierung.
    Zeitschrift für Angewandte Mathematik und Mechanik, 1995, Vol. 75, pp. 589-590
1994
  • Barthold, F.-J., Falk, A. & Stein, E.
    Structural optimization for rubberlike materials using analytical sensitivity analysis.
    Gilmore, B., Hoeltzel, D., Dutta, D. & Eschenauer, H. (ed.) Advances in Design Automation, 1994, pp. 43-50
  • Barthold, F.-J. & Stein, E.
    A continuum mechanical approach for analytical sensitivity analysis in structural optimization.
    Neittaanmäki, P. (ed.) Proc. of the 5th Finish Mechanics Days, University of Jyväskylä, Finnland, 1994
  • Barthold, F.-J.
    Berechnung und Optimierung von Strukturen aus isotropen hyperelastischen Materialien.
    Zeitschrift für Angewandte Mathematik und Mechanik, 1994, Vol. 74, pp. T300-T302
    DOI
1993
  • Stein, E., Mahnken, R. & Barthold, F.-J.
    Optimierungsverfahren in der Strukturmechanik, insbesondere in der Strukturoptimierung.
    Natke, H. (ed.) Proc. of the International Workshop of Inverse Problems, October 8-9 1992, Hannover, Bericht CRI K-1/93, Mitteilungen des Curt-Risch-Instituts für Dynamik, Schall- und Meßtechnik der Universität Hannover, 1993
  • Barthold, F.-J., Becker, A., Falk, A. & Rust, W.
    Zum Einfluß der Netzadaption bei der Formoptimierung.
    Zeitschrift für Angewandte Mathematik und Mechanik, 1993, Vol. 73, pp. T680-T684
    DOI
1992
  • Becker, A. & Barthold, F.-J.
    Einfluß der Strukturoptimierung auf das Stabilitätsverhalten von Stab- und Flächentragwerken.
    Eibl, J., Obrecht, H. & Wriggers, P. (ed.) Finite Elemente -- Anwendungen in der Baupraxis, W. Ernst & Sohn, 1992, pp. 603-612
1990
  • Stein, E., Becker, A. & Barthold, F.-J.
    Structural optimization of beam structures including imperfections.
    Pande, G. & Middleton, J. (ed.) Numerical Methods in Engineering: Theory and Applications (NUMETA 90), Elsevier Applied Science, 1990, pp. 454-463
1988
  • Barthold, F.-J. & Bischoff, D.
    Generalization of Newton type methods to contact problems with friction.
    Journal de Mécanique théorique et appliquée, 1988, Vol. 7, pp. 97-110