Andrej V. Cherkaev - Publications

Affiliations: 
University of Utah, Salt Lake City, UT 
Area:
Mathematics

54 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Treibergs A, Cherkaev A, Krtolica P. Compatibility conditions for discrete planar structures International Journal of Solids and Structures. 184: 248-278. DOI: 10.1016/J.Ijsolstr.2019.06.008  0.369
2019 Wang D, Cherkaev A, Osting B. Dynamics and stationary configurations of heterogeneous foams. Plos One. 14: e0215836. PMID 31034477 DOI: 10.1371/Journal.Pone.0215836  0.327
2019 Cherkaev A, Ryvkin M. Damage propagation in 2d beam lattices: 1. Uncertainty and assumptions Archive of Applied Mechanics. 89: 485-501. DOI: 10.1007/S00419-018-1429-Z  0.305
2019 Cherkaev A, Ryvkin M. Damage propagation in 2d beam lattices: 2. Design of an isotropic fault-tolerant lattice Archive of Applied Mechanics. 89: 503-519. DOI: 10.1007/S00419-018-1428-0  0.35
2016 Antimonov MA, Cherkaev A, Freidin AB. Phase transformations surfaces and exact energy lower bounds International Journal of Engineering Science. 98: 153-182. DOI: 10.1016/J.Ijengsci.2015.10.004  0.389
2015 Briggs N, Cherkaev A, ŻAnowski GD. A note on optimal design of multiphase elastic structures Structural and Multidisciplinary Optimization. 51: 749-755. DOI: 10.1007/S00158-014-1156-1  0.428
2014 Cherkaev A. Variational method for optimal multimaterial composites and optimal design International Journal of Engineering Science. 83: 162-173. DOI: 10.1016/J.Ijengsci.2014.03.002  0.473
2013 Cherkaev A, Pruss AD. Effective conductivity of spiral and other radial symmetric assemblages Mechanics of Materials. 65: 103-109. DOI: 10.1016/J.Mechmat.2013.05.004  0.36
2013 Cherkaev A, Dzierżanowski G. Three-phase plane composites of minimal elastic stress energy: High-porosity structures International Journal of Solids and Structures. 50: 4145-4160. DOI: 10.1016/J.Ijsolstr.2013.08.010  0.489
2012 Cherkaev A, Leelavanichkul S. An impact protective structure with bistable links International Journal of Damage Mechanics. 21: 697-711. DOI: 10.1177/1056789511410458  0.759
2012 Cherkaev A, Leelavanichkul S. Approaches to description of damageable lattices dynamics International Journal of Engineering Science. 58: 35-44. DOI: 10.1016/J.Ijengsci.2012.03.023  0.745
2012 Cherkaev A. Optimal three-material wheel assemblage of conducting and elastic composites International Journal of Engineering Science. 59: 27-39. DOI: 10.1016/J.Ijengsci.2012.03.007  0.427
2011 Cherkaev A, Zhang Y. Optimal anisotropic three-phase conducting composites. Plane problem International Journal of Solids and Structures. 48: 2800-2813. DOI: 10.1016/J.Ijsolstr.2011.05.024  0.443
2010 Leelavanichkul S, Cherkaev A, Adams DO, Solzbacher F. Energy absorption of a helicoidal bistable structure Journal of Mechanics of Materials and Structures. 5: 305-321. DOI: 10.2140/Jomms.2010.5.305  0.753
2010 Cherkaev A, Kouznetsov A, Panchenko A. Still states of bistable lattices, compatibility, and phase transition Continuum Mechanics and Thermodynamics. 22: 421-444. DOI: 10.1007/S00161-010-0161-X  0.333
2009 Cherkaev A. Bounds for effective properties of multimaterial two-dimensional conducting composites Mechanics of Materials. 41: 411-433. DOI: 10.1016/J.Mechmat.2009.01.027  0.422
2009 Leelavanichkul S, Cherkaev A. Elastic cylinder with helicoidal orthotropy: Theory and applications International Journal of Engineering Science. 47: 1-20. DOI: 10.1016/J.Ijengsci.2008.06.017  0.766
2008 Cherkaev E, Cherkaev A. Minimax optimization problem of structural design Computers and Structures. 86: 1426-1435. DOI: 10.1016/J.Compstruc.2007.05.026  0.449
2007 Albin N, Cherkaev A, Nesi V. Multiphase laminates of extremal effective conductivity in two dimensions Journal of the Mechanics and Physics of Solids. 55: 1513-1553. DOI: 10.1016/J.Jmps.2006.12.003  0.735
2006 Cherkaev A, Vinogradov V, Leelavanichkul S. The waves of damage in elastic-plastic lattices with waiting links: Design and simulation Mechanics of Materials. 38: 748-756. DOI: 10.1016/J.Mechmat.2005.06.017  0.75
2005 Cherkaev A, Cherkaev E, Slepyan L. Transition waves in bistable structures. I. Delocalization of damage Journal of the Mechanics and Physics of Solids. 53: 383-405. DOI: 10.1016/J.Jmps.2004.08.002  0.416
2005 Slepyan L, Cherkaev A, Cherkaev E. Transition waves in bistable structures. II. Analytical solution: Wave speed and energy dissipation Journal of the Mechanics and Physics of Solids. 53: 407-436. DOI: 10.1016/J.Jmps.2004.08.001  0.352
2005 Cherkaev A, Zhornitskaya L. Protective Structures with Waiting Links and Their Damage Evolution Multibody System Dynamics. 13: 53-67. DOI: 10.1007/S11044-005-5166-Z  0.474
2004 Cherkaev A, Kucuk I. Detecting stress fields in an optimal structure Part II: Three-dimensional case Structural and Multidisciplinary Optimization. 26: 16-27. DOI: 10.1007/S00158-003-0328-1  0.679
2004 Cherkaev A, Kucuk I. Detecting stress fields in an optimal structure Part I: Two-dimensional case and analyzer Structural and Multidisciplinary Optimization. 26: 1-15. DOI: 10.1007/S00158-003-0327-2  0.671
2004 Leelavanichkul S, Cherkaev A. Why the grain in tree trunks spirals: A mechanical perspective Structural and Multidisciplinary Optimization. 28: 127-135. DOI: 10.1007/S00158-003-0311-X  0.744
2003 Cherkaev E, Cherkaev A. Principal Compliance and Robust Optimal Design Journal of Elasticity. 72: 71-98. DOI: 10.1007/1-4020-2308-1_14  0.436
2001 Balk AM, Cherkaev AV, Slepyan LI. Dynamics of chains with non-monotone stress-strain relations. II. Nonlinear waves and waves of phase transition Journal of the Mechanics and Physics of Solids. 49: 149-171. DOI: 10.1016/S0022-5096(00)00026-0  0.31
2001 Balk AM, Cherkaev AV, Slepyan LI. Dynamics of chains with non-monotone stress-strain relations. I. Model and numerical experiments Journal of the Mechanics and Physics of Solids. 49: 131-148. DOI: 10.1016/S0022-5096(00)00025-9  0.353
1998 Cherkaev AV, Grabovsky Y, Movchan AB, Serkov SK. The cavity of the optimal shape under the shear stresses International Journal of Solids and Structures. 35: 4391-4410. DOI: 10.1016/S0020-7683(97)00214-X  0.429
1998 Cherkaev AV, Krog LA, Kucuk I. Stable optimal design of two-dimensional elastic structures Control and Cybernetics. 27: 265-282.  0.696
1997 Burns T, Cherkaev A. Optimal distribution of multimaterial composites for torsional beams Structural Optimization. 13: 4-11. DOI: 10.1007/Bf01198369  0.408
1997 Cherkaev A, Palais B. NIST-CTCMS International Workshop on Optimal Design for Materials and Structures Structural Optimization. 13: 1-3. DOI: 10.1007/Bf01198368  0.445
1996 Avellaneda M, Cherkaev AV, Gibiansky LV, Milton GW, Rudelson M. A complete characterization of the possible bulk and shear moduli of planar polycrystals Journal of the Mechanics and Physics of Solids. 44: 1179-1218. DOI: 10.1016/0022-5096(96)00018-X  0.403
1996 Cherkaev AV, Gibiansky LV. Extremal structures of multiphase heat conducting composites International Journal of Solids and Structures. 33: 2609-2623. DOI: 10.1016/0020-7683(95)00176-X  0.349
1996 Cherkaev A, Palais R. Optimal design of three-dimensional axisymmetric elastic structures Structural Optimization. 12: 35-45. DOI: 10.1007/Bf01270442  0.486
1995 Cherkaev A, Slepyan L. Waiting Element Structures and Stability under Extension International Journal of Damage Mechanics. 4: 58-82. DOI: 10.1177/105678959500400104  0.358
1995 Milton GW, Cherkaev AV. Which Elasticity Tensors are Realizable Journal of Engineering Materials and Technology-Transactions of the Asme. 117: 483-493. DOI: 10.1115/1.2804743  0.411
1994 Cherkaev AV, Gibiansky LV. Variational principles for complex conductivity, viscoelasticity, and similar problems in media with complex moduli Journal of Mathematical Physics. 35: 127-145. DOI: 10.1063/1.530782  0.322
1994 Cherkaev AV. Relaxation of problems of optimal structural design International Journal of Solids and Structures. 31: 2251-2280. DOI: 10.1016/0020-7683(94)90209-7  0.465
1993 Cherkaev AV, Gibiansky LV. Coupled estimates for the bulk and shear moduli of a two-dimensional isotropic elastic composite Journal of the Mechanics and Physics of Solids. 41: 937-980. DOI: 10.1016/0022-5096(93)90006-2  0.327
1989 Avellaneda M, Cherkaev AV, Lurie KA, Milton G. On the conductivity of polycrystals and a phase-interchange inequality Physica a: Statistical Mechanics and Its Applications. 157: 148-153. DOI: 10.1016/0378-4371(89)90291-4  0.337
1988 Avellaneda M, Cherkaev AV, Lurie KA, Milton GW. On the effective conductivity of polycrystals and a three-dimensional phase-interchange inequality Journal of Applied Physics. 63: 4989-5003. DOI: 10.1063/1.340445  0.367
1988 Gibyanskii LV, Cherkaev AV. Optimal design of nonlinear-elastic and elastic-plastic bars in torsion Mechanics of Solids. 23: 165-171.  0.318
1985 Lurie KA, Cherkaev AV. Optimization of properties of multicomponent isotropic composites Journal of Optimization Theory and Applications. 46: 571-580. DOI: 10.1007/Bf00939160  0.401
1984 Lurie KA, Cherkaev AV. Exact estimates of conductivity of composites formed by two isotropically conducting media taken in prescribed proportion Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 99: 71-87. DOI: 10.1017/S030821050002597X  0.301
1984 Lurie KA, Cherkaev AV. G-closure of some particular sets of admissible material characteristics for the problem of bending of thin elastic plates Journal of Optimization Theory and Applications. 42: 305-316. DOI: 10.1007/Bf00934301  0.307
1984 Lurie KA, Cherkaev AV. G-closure of a set of anisotropically conducting media in the two-dimensional case Journal of Optimization Theory and Applications. 42: 283-304. DOI: 10.1007/Bf00934300  0.306
1984 Lurie KA, Cherkaev AV, Fedorov AV. On the existence of solutions to some problems of optimal design for bars and plates Journal of Optimization Theory and Applications. 42: 247-281. DOI: 10.1007/Bf00934299  0.379
1983 Lurie KA, Cherkaev AV. OPTIMAL STRUCTURAL DESIGN AND RELAXED CONTROLS Optimal Control Applications and Methods. 4: 387-392. DOI: 10.1002/Oca.4660040410  0.418
1983 Fedorov AV, Cherkaev AV. CHOICE OF OPTIMAL ORIENTATION OF AXES OF ELASTIC SYMMETRY FOR AN ORTHOTROPIC PLATE Mechanics of Solids. 18: 135-142.  0.373
1982 Lurie KA, Cherkaev AV, Fedorov AV. Regularization of optimal design problems for bars and plates, part 2 Journal of Optimization Theory and Applications. 37: 523-543. DOI: 10.1007/BF00934954  0.304
1982 Lurie KA, Cherkaev AV, Fedorov AV. Regularization of optimal design problems for bars and plates, part 1 Journal of Optimization Theory and Applications. 37: 499-522. DOI: 10.1007/Bf00934953  0.434
1981 Olhoff N, Lurie KA, Cherkaev AV, Fedorov AV. Sliding regimes and anisotropy in optimal design of vibrating axisymmetric plates International Journal of Solids and Structures. 17: 931-948. DOI: 10.1016/0020-7683(81)90032-9  0.405
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