Cherkaev, Andrej Optimal three-material wheel assemblage of conducting and elastic composites. (English) Zbl 1423.74211 Int. J. Eng. Sci. 59, 27-39 (2012). MSC: 74E30 74N15 74Q20 PDFBibTeX XMLCite \textit{A. Cherkaev}, Int. J. Eng. Sci. 59, 27--39 (2012; Zbl 1423.74211) Full Text: DOI arXiv
Albin, Nathan; Cherkaev, Andrej; Nesi, Vincenzo Multiphase laminates of extremal effective conductivity in two dimensions. (English) Zbl 1171.74039 J. Mech. Phys. Solids 55, No. 7, 1513-1553 (2007). MSC: 74Q15 74Q05 74Q20 74E30 PDFBibTeX XMLCite \textit{N. Albin} et al., J. Mech. Phys. Solids 55, No. 7, 1513--1553 (2007; Zbl 1171.74039) Full Text: DOI
Albin, Nathan; Cherkaev, Andrej Optimality conditions on fields in microstructures and controllable differential schemes. (English) Zbl 1125.74038 Ammari, Habib (ed.) et al., Inverse problems, multi-scale analysis and effective medium theory. Proceedings of the workshop on inverse problems, multi-scale analysis and homogenization, Seoul, Korea, June 22–24, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3968-3/pbk). Contemporary Mathematics 408, 137-149 (2006). MSC: 74P10 74Q20 74Q05 PDFBibTeX XMLCite \textit{N. Albin} and \textit{A. Cherkaev}, Contemp. Math. 408, 137--149 (2006; Zbl 1125.74038)
Cherkaev, A. Approaches to nonconvex variational problems of mechanics. (English) Zbl 1320.74050 Ponte Castañeda, P. (ed.) et al., Nonlinear homogenization and its applications to composites, polycrystals and smart materials. Proceedings of the NATO advanced workshop, Warsaw, Poland, June 23–26, 2003. Dordrecht: Kluwer Academic Publishers (ISBN 978-1-4020-2621-8/hbk; 978-1-4020-2623-2/ebook). NATO Science Series II: Mathematics, Physics and Chemistry 170, 65-105 (2005). MSC: 74G65 49J53 74E05 74P99 74Q05 74Q20 PDFBibTeX XMLCite \textit{A. Cherkaev}, NATO Sci. Ser. II, Math. Phys. Chem. 170, 65--105 (2005; Zbl 1320.74050) Full Text: DOI
Cherkaev, Andrej Variational methods for structural optimization. (English) Zbl 0956.74001 Applied Mathematical Sciences. 140. New York, NY: Springer. xxvi, 545 p. DM 149.00; öS 1088.00; sFr 136.00; £51.50; $ 79.95 (2000). Reviewer: A.Žilinskas (Vilnius) MSC: 74-02 74Pxx 74E30 74Q05 74Q20 PDFBibTeX XMLCite \textit{A. Cherkaev}, Variational methods for structural optimization. New York, NY: Springer (2000; Zbl 0956.74001)
Gibiansky, L. V.; Cherkaev, A. V. Microstructures of composites of extremal rigidity and exact bounds on the associated energy density. (English) Zbl 0928.74077 Cherkaev, Andrej (ed.) et al., Topics in the mathematical modelling of composite materials. Boston, MA: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 31, 273-317 (1997). Reviewer: Hilmi Demiray (İstanbul) MSC: 74Q20 74E30 PDFBibTeX XMLCite \textit{L. V. Gibiansky} and \textit{A. V. Cherkaev}, Prog. Nonlinear Differ. Equ. Appl. 31, 273--317 (1997; Zbl 0928.74077)
Lurie, K. A.; Cherkaev, A. V. Exact estimates of the conductivity of a binary mixture of isotropic materials. (English) Zbl 0623.73011 Proc. R. Soc. Edinb., Sect. A 104, 21-38 (1986). Reviewer: E.S.R.Gopal MSC: 74A40 82C70 74A60 74M25 PDFBibTeX XMLCite \textit{K. A. Lurie} and \textit{A. V. Cherkaev}, Proc. R. Soc. Edinb., Sect. A, Math. 104, 21--38 (1986; Zbl 0623.73011) Full Text: DOI