Microstructures minimizing the energy of a two phase elastic composite in two space dimensions. II: the Vigdergauz microstructure Y Grabovsky, RV Kohn Journal of the Mechanics and Physics of Solids 43 (6), 949-972, 1995 | 150 | 1995 |
Exact relations for effective tensors of composites: Necessary conditions and sufficient conditions Y Grabovsky, GW Milton, DS Sage Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2000 | 73 | 2000 |
Microstructures minimizing the energy of a two phase elastic composite in two space dimensions. I: the confocal ellipse construction Y Grabovsky, RV Kohn Journal of the Mechanics and Physics of Solids 43 (6), 933-947, 1995 | 68 | 1995 |
Bounds and extremal microstructures for two-component composites: A unified treatment based on the translation method Y Grabovsky Proceedings of the Royal Society of London. Series A: Mathematical, Physical …, 1996 | 63 | 1996 |
Optimal design problems for two-phase conducting composites with weakly discontinuous objective functionals Y Grabovsky Advances in Applied Mathematics 27 (4), 683-704, 2001 | 50 | 2001 |
Exact relations for effective tensors of polycrystals. I. Necessary conditions Y Grabovsky Archive for Rational Mechanics and Analysis 143, 309-329, 1998 | 39 | 1998 |
The G-closure of two well-ordered, anisotropic conductors Y Grabovsky Proceedings of the Royal Society of Edinburgh Section A: Mathematics 123 (3 …, 1993 | 37 | 1993 |
Sufficient conditions for strong local minima: The case of 𝐶¹ extremals Y Grabovsky, T Mengesha Transactions of the American Mathematical Society 361 (3), 1495-1541, 2009 | 34 | 2009 |
The flip side of buckling Y Grabovsky, L Truskinovsky Continuum Mechanics and Thermodynamics 19, 211-243, 2007 | 34 | 2007 |
Roughening instability of broken extremals Y Grabovsky, L Truskinovsky Archive for rational mechanics and analysis 200, 183-202, 2011 | 30 | 2011 |
Exact relations for effective tensors of polycrystals. II. Applications to elasticity and piezoelectricity Y Grabovsky, DS Sage Archive for Rational Mechanics and Analysis 143, 331-356, 1998 | 30 | 1998 |
Marginal material stability Y Grabovsky, L Truskinovsky Journal of Nonlinear science 23, 891-969, 2013 | 25 | 2013 |
Korn inequalities for shells with zero Gaussian curvature Y Grabovsky, D Harutyunyan Annales de l'Institut Henri Poincaré C, Analyse non linéaire 35 (1), 267-282, 2018 | 22 | 2018 |
Direct approach to the problem of strong local minima in calculus of variations Y Grabovsky, T Mengesha Calculus of Variations and Partial Differential Equations 29, 59-83, 2007 | 22* | 2007 |
From microstructure-independent formulas for composite materials to rank-one convex, non-quasiconvex functions Y Grabovsky Archive for Rational Mechanics and Analysis 227, 607-636, 2018 | 21 | 2018 |
Exact scaling exponents in Korn and Korn-type inequalities for cylindrical shells Y Grabovsky, D Harutyunyan SIAM Journal on Mathematical Analysis 46 (5), 3277-3295, 2014 | 20 | 2014 |
Exact relations for effective conductivity of fiber-reinforced conducting composites with the Hall effect via a general theory Y Grabovsky SIAM journal on mathematical analysis 41 (3), 973-1024, 2009 | 20 | 2009 |
Composite Materials: Mathematical theory and exact relations Y Grabovsky IOP Publishing, 2016 | 19 | 2016 |
Scaling instability in buckling of axially compressed cylindrical shells Y Grabovsky, D Harutyunyan Journal of nonlinear science 26, 83-119, 2016 | 17 | 2016 |
Exact relations for composites: Towards a complete solution Y Grabovsky, GW Milton Doc. Math. J. DMV, IIIl, 456-462, 1998 | 16 | 1998 |