Andrej Cherkaev

Cited by

	All	Since 2018
Citations	4943	1160
h-index	33	18
i10-index	71	29

220

110

165

198419851986198719881989199019911992199319941995199619971998199920002001200220032004200520062007200820092010201120122013201420152016201720182019202020212022202319 15 61 36 50 10 38 41 126 84 76 127 89 107 131 141 88 102 104 133 154 162 133 123 157 138 134 122 188 145 148 147 199 165 202 201 198 210 178 170

Public access

View all

11 articles

1 article

available

not available

Based on funding mandates

Co-authors

KA LurieProfessor of Mathematical Sciences, Worcester Polytechnic InstituteVerified email at wpi.edu
Elena CherkaevProfessor of Mathematics, University of UtahVerified email at math.utah.edu
Leonid GibianskyQuantPharm, LLCVerified email at quantpharm.com
Graeme MiltonProfessor of Mathematics, The University of UtahVerified email at math.utah.edu
Marco AvellanedaNew York UniversityVerified email at cims.nyu.edu
Ismail KucukIstanbul Sabahattin Zaim University, Istanbul, TurkeyVerified email at izu.edu.tr
Vladimir VinogradovLecturer in Structural Mechanics and Materials, Newcastle UniversityVerified email at newcastle.ac.uk
Ryvkin Michael (Shmuel)School of Mechanical Engineering, Tel Aviv UniversityVerified email at eng.tau.ac.il
Alexander MovchanProfessor of Applied Mathematics, University of LiverpoolVerified email at liv.ac.uk
Grzegorz DzierżanowskiWarsaw University of TechnologyVerified email at il.pw.edu.pl
Robert V. KohnCourant Institute of Mathematical Sciences, NYUVerified email at cims.nyu.edu
Nathan AlbinKansas State UniversityVerified email at math.ksu.edu
Bob PalaisUniversity of Utah, Department of MathematicsVerified email at math.utah.edu
Vincenzo NesiProfessor of Mathematical AnalysisVerified email at mat.uniroma1.it
Mikhail AntimonovPeter the Great St.Petersburg Polytechnic University (SPbPU)Verified email at emerson.com
Alexander B. Freidin, A.B. Freidin, Але...ИПМаш РАН, СПбПУ, СПбГУ (IPME RAS, SPbSTU, SPbU)Verified email at spbu.ru
Florian SolzbacherThe University of UtahVerified email at utah.edu
Viacheslav SlesarenkoUniversity of FreiburgVerified email at livmats.uni-freiburg.de
Stephan RudykhUniversity of Wisconsin - MadisonVerified email at wisc.edu
Alexander PanchenkoProfessor of Mathematics, Washington State UniversityVerified email at wsu.edu

Andrej Cherkaev

Professor of Mathematics, University of Utah

Verified email at math.utah.edu - Homepage

optimization variational methods solid mechanics composite damage propagation


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
Which elasticity tensors are realizable? GW Milton, AV Cherkaev	517	1995
Variational methods for structural optimization A Cherkaev Springer Science & Business Media, 2012	512	2012
Exact estimates of conductivity of composites formed by two isotropically conducting media taken in prescribed proportion KA Lurie, AV Cherkaev Proceedings of the Royal Society of Edinburgh Section A: Mathematics 99 (1-2 …, 1984	302	1984
Regularization of optimal design problems for bars and plates, part 1 KA Lurie, AV Cherkaev, AV Fedorov Journal of Optimization Theory and Applications 37, 499-522, 1982	243	1982
Topics in the mathematical modelling of composite materials A Cherkaev, R Kohn Birkhäuser, 1997	179	1997
Invariant properties of the stress in plane elasticity and equivalence classes of composites AV Cherkaev, KA Lurie, GW Milton Proceedings of the Royal Society of London. Series A: Mathematical and …, 1992	146	1992
On the effective conductivity of polycrystals and a three‐dimensional phase‐interchange inequality M Avellaneda, AV Cherkaev, KA Lurie, GW Milton Journal of applied physics 63 (10), 4989-5003, 1988	139	1988
Exact estimates of the conductivity of a binary mixture of isotropic materials KA Lurie, AV Cherkaev Proceedings of the Royal Society of Edinburgh Section A: Mathematics 104 (1 …, 1986	139	1986
G-closure of a set of anisotropically conducting media in the two-dimensional case KA Lurie, AV Cherkaev Journal of optimization theory and applications 42, 283-304, 1984	137*	1984
" Effective Characteristics of Composite Materials and the Optimal Design of Structural Elements KA Lurie, AV Cherkaev Topics in the mathematical modelling of composite materials, 175-271, 2018	130	2018
G-closure of some particular sets of admissible material characteristics for the problem of bending of thin elastic plates KA Lurie, AV Cherkaev Journal of Optimization Theory and Applications 42, 305-316, 1984	129	1984
Coupled estimates for the bulk and shear moduli of a two-dimensional isotropic elastic composite AV Cherkaev, LV Gibiansky Journal of the Mechanics and Physics of Solids 41 (5), 937-980, 1993	110	1993
Design of composite plates of extremal rigidity LV Gibiansky, AV Cherkaev Topics in the mathematical modelling of composite materials, 95-137, 2018	104	2018
Dynamics of chains with non-monotone stress–strain relations. I. Model and numerical experiments AM Balk, AV Cherkaev, LI Slepyan Journal of the Mechanics and Physics of Solids 49 (1), 131-148, 2001	100	2001
Variational principles for complex conductivity, viscoelasticity, and similar problems in media with complex moduli AV Cherkaev, LV Gibiansky Journal of Mathematical Physics 35 (1), 127-145, 1994	99	1994
Transition waves in bistable structures. II. Analytical solution: wave speed and energy dissipation L Slepyan, A Cherkaev, E Cherkaev Journal of the Mechanics and Physics of Solids 53 (2), 407-436, 2005	94	2005
The exact coupled bounds for effective tensors of electrical and magnetic properties of two-component two-dimensional composites1 AV Cherkaev, LV Gibiansky Proceedings of the Royal Society of Edinburgh Section A: Mathematics 122 (1 …, 1992	87	1992
The cavity of the optimal shape under the shear stresses AV Cherkaev, Y Grabovsky, AB Movchan, SK Serkov International Journal of Solids and structures 35 (33), 4391-4410, 1998	75	1998
Optimal design for uncertain loading condition A Cherkaev, E Cherkaeva Homogenization: in memory of Serguei Kozlov, 193-213, 1999	73	1999
Transition waves in bistable structures. I. Delocalization of damage A Cherkaev, E Cherkaev, L Slepyan Journal of the Mechanics and Physics of Solids 53 (2), 383-405, 2005	69	2005

The system can't perform the operation now. Try again later.

Articles 1–20

Citations per year

Duplicate citations

Merged citations

Add co-authorsCo-authors

Follow

Cited by

Co-authors