Düll, Wolf-Patrick; Engl, Dominik; Kreisbeck, Carolin A variational perspective on auxetic metamaterials of checkerboard-type. arXiv:2303.16159 Preprint, arXiv:2303.16159 [math.AP] (2023). MSC: 49J45 35B40 74E30 74Q20 BibTeX Cite \textit{W.-P. Düll} et al., ``A variational perspective on auxetic metamaterials of checkerboard-type'', Preprint, arXiv:2303.16159 [math.AP] (2023) Full Text: arXiv OA License
Zhu, Dongmei; Zheng, Harry Effective approximation methods for constrained utility maximization with drift uncertainty. (English) Zbl 1492.91137 J. Optim. Theory Appl. 194, No. 1, 191-219 (2022). MSC: 91B16 93E20 49M29 PDFBibTeX XMLCite \textit{D. Zhu} and \textit{H. Zheng}, J. Optim. Theory Appl. 194, No. 1, 191--219 (2022; Zbl 1492.91137) Full Text: DOI
Furer, Joshua; Ponte Castañeda, Pedro A symmetric fully optimized second-order method for nonlinear homogenization. (English) Zbl 07776820 ZAMM, Z. Angew. Math. Mech. 98, No. 2, 222-254 (2018). MSC: 49M29 49S05 65Z05 74D10 74B20 74Q05 74Q15 74Q20 PDFBibTeX XMLCite \textit{J. Furer} and \textit{P. Ponte Castañeda}, ZAMM, Z. Angew. Math. Mech. 98, No. 2, 222--254 (2018; Zbl 07776820) Full Text: DOI
Bălilescu, Loredana; Conca, Carlos; Ghosh, Tuhin; San Martín, Jorge; Vanninathan, Muthusamy The dispersion tensor and its unique minimizer in Hashin-Shtrikman micro-structures. (English) Zbl 1398.35230 Arch. Ration. Mech. Anal. 230, No. 2, 665-700 (2018). MSC: 35Q74 35B27 74Q20 49K20 74A60 35P15 74M25 74A40 PDFBibTeX XMLCite \textit{L. Bălilescu} et al., Arch. Ration. Mech. Anal. 230, No. 2, 665--700 (2018; Zbl 1398.35230) Full Text: DOI arXiv
Braides, Andrea; Kreutz, Leonard Design of lattice surface energies. (English) Zbl 1397.35014 Calc. Var. Partial Differ. Equ. 57, No. 4, Paper No. 97, 43 p. (2018). MSC: 35B27 74Q20 82B20 49J45 49Q20 PDFBibTeX XMLCite \textit{A. Braides} and \textit{L. Kreutz}, Calc. Var. Partial Differ. Equ. 57, No. 4, Paper No. 97, 43 p. (2018; Zbl 1397.35014) Full Text: DOI Link
Hajej, A. Error estimates for approximation schemes of effective Hamiltonians arising in stochastic homogenization of Hamilton-Jacobi equations. (English) Zbl 1366.65082 Numer. Algorithms 73, No. 3, 839-868 (2016). Reviewer: Vit Dolejsi (Praha) MSC: 65M15 35F21 35B27 49L25 65M08 65M12 65P10 37H10 PDFBibTeX XMLCite \textit{A. Hajej}, Numer. Algorithms 73, No. 3, 839--868 (2016; Zbl 1366.65082) Full Text: DOI
Braides, Andrea; Kreutz, Leonard Optimal design of mixtures of ferromagnetic interactions. arXiv:1610.06455 Preprint, arXiv:1610.06455 [math.OC] (2016). MSC: 35B27 74Q20 82B20 49J45 49Q20 BibTeX Cite \textit{A. Braides} and \textit{L. Kreutz}, ``Optimal design of mixtures of ferromagnetic interactions'', Preprint, arXiv:1610.06455 [math.OC] (2016) Full Text: arXiv OA License
López-Ruiz, G.; Bravo-Castillero, J.; Brenner, R.; Cruz, M. E.; Guinovart-Díaz, R.; Pérez-Fernández, L. D.; Rodríguez-Ramos, R. Improved variational bounds for conductive periodic composites with 3D microstructures and nonuniform thermal resistance. (English) Zbl 1331.49015 Z. Angew. Math. Phys. 66, No. 5, 2881-2898 (2015). MSC: 49J45 49M30 35B27 35J20 35J25 PDFBibTeX XMLCite \textit{G. López-Ruiz} et al., Z. Angew. Math. Phys. 66, No. 5, 2881--2898 (2015; Zbl 1331.49015) Full Text: DOI
Braides, Andrea Optimal bounds for periodic mixtures of ferromagnetic interactions. arXiv:1406.7152 Preprint, arXiv:1406.7152 [math-ph] (2014). MSC: 35B27 49J45 78M40 74Q20 BibTeX Cite \textit{A. Braides}, ``Optimal bounds for periodic mixtures of ferromagnetic interactions'', Preprint, arXiv:1406.7152 [math-ph] (2014) Full Text: arXiv OA License
Gloria, Antoine; Neukamm, Stefan Commutability of homogenization and linearization at identity in finite elasticity and applications. (English. French summary) Zbl 1256.35004 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 6, 941-964 (2011). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 49J45 74E30 74Q05 74Q20 PDFBibTeX XMLCite \textit{A. Gloria} and \textit{S. Neukamm}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 6, 941--964 (2011; Zbl 1256.35004) Full Text: DOI
Palombaro, M.; Smyshlyaev, V. P. Relaxation of three solenoidal wells and characterization of extremal three-phase \(H\)-measures. (English) Zbl 1176.49022 Arch. Ration. Mech. Anal. 194, No. 3, 775-822 (2009). MSC: 49J45 74E30 74N05 74Q20 PDFBibTeX XMLCite \textit{M. Palombaro} and \textit{V. P. Smyshlyaev}, Arch. Ration. Mech. Anal. 194, No. 3, 775--822 (2009; Zbl 1176.49022) Full Text: DOI
Tartar, Luc The general theory of homogenization. A personalized introduction. (English) Zbl 1188.35004 Lecture Notes of the Unione Matematica Italiana 7. Berlin: Springer (ISBN 978-3-642-05194-4/pbk; 978-3-642-05195-1/ebook). xvii, 470 p. (2009). Reviewer: Alain Brillard (Riedisheim) MSC: 35-02 35B27 49-02 49J45 74Q20 PDFBibTeX XMLCite \textit{L. Tartar}, The general theory of homogenization. A personalized introduction. Berlin: Springer (2009; Zbl 1188.35004) Full Text: DOI
Antonić, Nenad; Vrdoljak, Marko Gradient methods for multiple state optimal design problems. (English) Zbl 1180.35067 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 53, No. 2, 177-187 (2007). MSC: 35B27 49K20 49M05 65K10 74Q20 35Q93 PDFBibTeX XMLCite \textit{N. Antonić} and \textit{M. Vrdoljak}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 53, No. 2, 177--187 (2007; Zbl 1180.35067) Full Text: DOI
Vrdoljak, Marko Multiple state optimal design problems and Hashin-Shtrikman bounds. (English) Zbl 1165.35317 Int. J. Pure Appl. Math. 42, No. 3, 319-324 (2007). MSC: 35B27 49J45 49K20 65K10 74Q20 PDFBibTeX XMLCite \textit{M. Vrdoljak}, Int. J. Pure Appl. Math. 42, No. 3, 319--324 (2007; Zbl 1165.35317)
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
Milton, G. W. On optimizing the properties of hierarchical laminates using Pontryagin’s maximum principle. (English) Zbl 1108.74048 Multiscale Model. Simul. 3, No. 3, 658-679 (2005). MSC: 74P10 49K20 49N90 65K10 74N15 74Q20 PDFBibTeX XMLCite \textit{G. W. Milton}, Multiscale Model. Simul. 3, No. 3, 658--679 (2005; Zbl 1108.74048) Full Text: DOI
Procházka, Petr; Šejnoha, Jiří Extended Hashin-Shtrikman variational principles. (English) Zbl 1099.74054 Appl. Math., Praha 49, No. 4, 357-372 (2004). Reviewer: Ivan Hlaváček (Praha) MSC: 74Q20 74E30 49S05 PDFBibTeX XMLCite \textit{P. Procházka} and \textit{J. Šejnoha}, Appl. Math., Praha 49, No. 4, 357--372 (2004; Zbl 1099.74054) Full Text: DOI EuDML Link
Rodríguez-Ramos, R.; Pobedria, B. E.; Padilla, P.; Bravo-Castillero, J.; Guinovart-Díaz, R.; Maugin, G. A. Variational principles for nonlinear piezoelectric materials. (English) Zbl 1097.74018 Arch. Appl. Mech. 74, No. 3-4, 191-200 (2004). MSC: 74F15 74G65 49S05 74Q20 PDFBibTeX XMLCite \textit{R. Rodríguez-Ramos} et al., Arch. Appl. Mech. 74, No. 3--4, 191--200 (2004; Zbl 1097.74018) Full Text: DOI
Garroni, A.; Nesi, V. Rigidity and lack of rigidity for solenoidal matrix fields. (English) Zbl 1108.74050 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2046, 1789-1806 (2004). MSC: 74Q05 35F20 46E35 49J10 74Q20 PDFBibTeX XMLCite \textit{A. Garroni} and \textit{V. Nesi}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2046, 1789--1806 (2004; Zbl 1108.74050) Full Text: DOI
Cardone, G.; Corbo Esposito, A.; Zhikov, V. V. A one-dimensional variational problem with gradient constraint. (English) Zbl 1064.49015 Appl. Anal. 83, No. 7, 747-756 (2004). Reviewer: Riccardo De Arcangelis (Napoli) MSC: 49J45 35B27 74Q20 PDFBibTeX XMLCite \textit{G. Cardone} et al., Appl. Anal. 83, No. 7, 747--756 (2004; Zbl 1064.49015) Full Text: DOI
Allaire, Grégoire Shape optimization by the homogenization method. (English) Zbl 0990.35001 Applied Mathematical Sciences. 146. New York, NY: Springer. xv, 456 p. (2002). Reviewer: Nenad Antonić and Marko Vrdoljak (Zagreb) MSC: 35-02 35B27 49-02 49J45 49K20 65K10 74Q20 PDFBibTeX XMLCite \textit{G. Allaire}, Shape optimization by the homogenization method. New York, NY: Springer (2002; Zbl 0990.35001)
Markov, Konstantin Z. A new obund on the absorption coefficient of a two-phase medium. (English) Zbl 1079.80505 God. Sofij. Univ., Fak. Mat. Inform. 94(2000), 123-131 (2001). MSC: 80A22 60J60 74Q99 60G60 60H15 49K45 PDFBibTeX XMLCite \textit{K. Z. Markov}, God. Sofiĭ. Univ., Fak. Mat. Inform. 94, 123--131 (2001; Zbl 1079.80505)
Zvyatkov, Krassimir D. A new approach for deriving \(C^2\)-bounds on the effective conductivity of random dispersions. (English) Zbl 1079.60514 God. Sofij. Univ., Fak. Mat. Inform. 91(1997), No. 2, 177-192 (1999). MSC: 60G60 60H15 74A40 74Q20 49K45 PDFBibTeX XMLCite \textit{K. D. Zvyatkov}, God. Sofiĭ. Univ., Fak. Mat. Inform. 91, No. 2, 177--192 (1999; Zbl 1079.60514)
Ben-Amoz, M. Comments on a paper by J. R. Willis. (English) Zbl 0968.74504 Wave Motion 26, No. 1, 97 (1997). MSC: 74A40 74Q20 49S05 PDFBibTeX XMLCite \textit{M. Ben-Amoz}, Wave Motion 26, No. 1, 97 (1997; Zbl 0968.74504) Full Text: DOI
Avellaneda, Marco; Milton, Graeme W. Optimal bounds on the effective bulk modulus of polycrystals. (English) Zbl 0702.73078 SIAM J. Appl. Math. 49, No. 3, 824-837 (1989). MSC: 74S30 74P10 74E30 49R50 49S05 PDFBibTeX XMLCite \textit{M. Avellaneda} and \textit{G. W. Milton}, SIAM J. Appl. Math. 49, No. 3, 824--837 (1989; Zbl 0702.73078) Full Text: DOI
Kohler, W.; Papanicolaou, G. C. Bounds for the effective conductivity of random media. (English) Zbl 0496.73002 Macroscopic properties of disordered media, Proc. Conf., New York 1981, Lect. Notes Phys. 154, 111-130 (1982). MSC: 74A40 49S05 82D30 PDFBibTeX XML
Diener, G.; Raabe, Ch.; Weissbarth, J. Bounds for the non-local effective properties of random media. II. (English) Zbl 0488.73006 J. Mech. Phys. Solids 30, 305-322 (1982). MSC: 74A40 49S05 74S30 74J20 74F15 PDFBibTeX XMLCite \textit{G. Diener} et al., J. Mech. Phys. Solids 30, 305--322 (1982; Zbl 0488.73006) Full Text: DOI
Diener, G.; Weissbarth, J. Bounds on non-local effective constitutive laws for composites. (English) Zbl 0473.73007 Continuum models of discrete systems 4, Proc. int. Conf., Stockholm 1981, 349-357 (1981). MSC: 74A40 74A20 49S05 PDFBibTeX XML
Diener, G.; Raabe, Ch.; Weissbarth, J. Bounds for the non-local effective properties of random media. (English) Zbl 0464.73005 J. Mech. Phys. Solids 29, 181-198 (1981). MSC: 74A40 49S05 74F15 74J20 PDFBibTeX XMLCite \textit{G. Diener} et al., J. Mech. Phys. Solids 29, 181--198 (1981; Zbl 0464.73005) Full Text: DOI