Topology optimization of quasistatic contact problems
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|Jun 2012References
- Allaire, G. (2002)., Springer, New York, NY.
- Allaire G., Jouve, F. and Toader, A., (2004). Structural optimization using sensitivity analysis and a level let method,(1): 363-393.
- Ammari, H., Kang, H. and Lee, H. (2009)., Mathematical Surveys and Monographs, Vol. 153, AMS, Providence, RI.
- Amstuz, S., Takahashi T., Vexler, B. (2008). Topological sensitivity analysis for time-dependent problems,(3): 427-455.
- Ayyad, Y. and Sofonea, M. (2007). Analysis of two dynamic frictionless contact problems for elastic-visco-plastic materials,(55): 1-17.
- Bendsoe, M.P and Sigmund, O. (2003)., Springer, Berlin.
- Chambolle, A. (2003). A density result in two-dimensional linearized elasticity and applications,(3): 211-233.
- Chudzikiewicz, A. and Myśliński, A. (2009). Thermoelastic wheel-rail contact problem with elastic graded materials,, pp. 795-801.
- Duvaut, G. and Lions, J. L. (1972)., Dunod, Paris.
- Denkowski, Z. and Migórski, S. (1998). Optimal shape design problems for a class of systems described by hemivariational inequalities,(1): 37-59.
- Eck, C., Jarušek, J. and Krbeč, M. (2005)., Pure and Applied Mathematics, Vol. 270, CRC Press, New York, NY.
- Eschenauer, H. A., Kobolev V. V. and Schumacher, A. (1994). Bubble method for topology and shape optimization of structures,(1): 42-51.
- Fulmański, P., Laurain, A., Scheid, J. F. and Sokołowski, J. (2007). A level set method in shape and topology optimization for variational inequalities,(3): 413-430, DOI: 10.2478/v10006-007-0034-z.
- Garreau, S., Guillaume, Ph. and Masmoudi, M. (2001). The topological asymptotic for PDE systems: The elasticity case,(6): 1756-1778.
- Han, W. and Sofonea, M. (2002)., AMS/IP Studies in Advanced Mathematics, Vol. 30, AMS/IP, Providence, RI.
- Haslinger, J. and Mäkinen, R. (2003)., SIAM Publications, Philadelphia, PA.
- Hüber, S., Stadler, G. and Wohlmuth, B. (2008). A primal-dual active set algorithm for three-dimensional contact problems with Coulomb friction,(2): 572-596.
- Jarušek, J., Krbec, M., Rao, M. and Sokołowski, J. (2003). Conical differentiability for evolution variational inequalities,(1): 131-146.
- Kowalewski, A., Lasiecka, I. and Sokołowski, J. (2010). Sensitivity analysis of hyperbolic optimal control problems,, DOI: 10.1007/s10589-010-9375-x.
- Myśliński, A. (2006)., Academic Publishing House EXIT, Warsaw.
- Myśliński, A. (2008). Level set method for optimization of contact problems,(11): 986-994.
- Myśliński, A. (2010). Topology optimization of systems governed by variational inequalities,(2): 237-252.
- Nazarov, S. A. and Sokołowski, J. (2003). Asymptotic Analysis of Shape Functionals,(2): 125-196.
- Novotny, A. A., Feijóo, R. A., Padra, C. and Tarocco, E. (2005). Topological derivative for linear elastic plate bending problems,(1): 339-361.
- Rocca, R. and Cocu, M. (2001). Existence and approximation of a solution to quasistatic Signorini problem with local friction,(11): 1233-1255.
- Sokołowski, J. and Zolesio, J. P. (1992)., Springer, Berlin.
- Sokołowski, J. and Żochowski, A. (1999). On the topological derivative in shape optimization,(4): 1251-1272.
- Sokołowski, J. and Żochowski, A. (2004). On topological derivative in shape optimization,T. Lewiński, O. Sigmund, J. Sokołowski and A. Żochowski (Eds.),, Academic Publishing House EXIT, Warsaw, pp. 55-143.
- Sokołowski, J. and Żochowski, A. (2005). Modelling of topological derivatives for contact problems,(1): 145-179.
- Sokołowski, J. and Żochowski, A. (2008). Topological derivatives for optimization of plane elasticity contact problems,(11): 900-908.
- Strömberg, N. and Klabring, A. (2010). Topology optimization of structures in unilateral contact,(1): 57-64.
Language: English
Page range: 269 - 280
Published on: Jun 28, 2012
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
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© 2012 Andrzej Myśliński, published by University of Zielona Góra
This work is licensed under the Creative Commons License.