| Year |
Citation |
Score |
| 2020 |
Babuška I, Lipton R, Sinz P, Stuebner M. Multiscale-Spectral GFEM and optimal oversampling Computer Methods in Applied Mechanics and Engineering. 364: 112960. DOI: 10.1016/J.Cma.2020.112960 |
0.744 |
|
| 2018 |
Lipton R, Said E, Jha P. Free Damage Propagation with Memory Journal of Elasticity. 133: 129-153. DOI: 10.1007/S10659-018-9672-7 |
0.305 |
|
| 2016 |
Lipton R, Sinz P, Stuebner M. Uncertain loading and quantifying maximum energy concentration within composite structures Journal of Computational Physics. 325: 38-52. DOI: 10.1016/J.Jcp.2016.07.010 |
0.741 |
|
| 2016 |
Lipton R. Cohesive Dynamics and Brittle Fracture Journal of Elasticity. 124: 143-191. DOI: 10.1007/S10659-015-9564-Z |
0.324 |
|
| 2014 |
Babuska IM, Huang X, Lipton R. Machine Computation Using the Exponentially Convergent Multiscale Spectral Generalized Finite Element Method Mathematical Modelling and Numerical Analysis. 48: 493-515. DOI: 10.1051/M2An/2013117 |
0.388 |
|
| 2013 |
Chen Y, Lipton R. Multiscale methods for engineering double negative metamaterials Photonics and Nanostructures - Fundamentals and Applications. 11: 442-452. DOI: 10.1016/J.Photonics.2013.07.005 |
0.321 |
|
| 2012 |
Lipton R, Mengesha T. Representation Formulas For L ∞ Norms Of Weakly Convergent Sequences Of Gradient Fields In Homogenization Mathematical Modelling and Numerical Analysis. 46: 1121-1146. DOI: 10.1051/M2An/2011049 |
0.37 |
|
| 2012 |
Alali B, Lipton R. New bounds on local strain fields inside random heterogeneous materials Mechanics of Materials. 53: 111-122. DOI: 10.1016/J.Mechmat.2012.05.007 |
0.392 |
|
| 2012 |
Lipton R, Stuebner M, Lua Y. Multi-scale quasistatic damage evolution for polycrystalline materials International Journal of Engineering Science. 58: 85-94. DOI: 10.1016/J.Ijengsci.2012.03.027 |
0.321 |
|
| 2011 |
Babuska I, Lipton R. L2-Global to local projection: An approach to multiscale analysis Mathematical Models and Methods in Applied Sciences. 21: 2211-2226. DOI: 10.1142/S0218202511005714 |
0.317 |
|
| 2011 |
Babuska I, Lipton R. Optimal local approximation spaces for generalized finite element methods with application to multiscale problems Multiscale Modeling and Simulation. 9: 373-406. DOI: 10.1137/100791051 |
0.348 |
|
| 2010 |
Fortes SP, Lipton RP, Shipman SP. Sub-wavelength plasmonic crystals: Dispersion relations and effective properties Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 466: 1993-2020. DOI: 10.1098/Rspa.2009.0542 |
0.306 |
|
| 2010 |
Jimenez S, Lipton RP. Correctors and field fluctuations for the pIe{cyrillic, ukrainian}(x)-Laplacian with rough exponents Journal of Mathematical Analysis and Applications. 372: 448-469. DOI: 10.1016/J.Jmaa.2010.07.014 |
0.345 |
|
| 2010 |
Chen Y, Lipton R. Optimal lower bounds on the local stress inside random thermoelastic composites Acta Mechanica. 213: 97-109. DOI: 10.1007/S00707-009-0273-1 |
0.461 |
|
| 2009 |
Alali B, Lipton R. Optimal Lower Bounds on Local Stress inside Random Media Siam Journal On Applied Mathematics. 70: 1260-1282. DOI: 10.1137/080744967 |
0.441 |
|
| 2009 |
Breitzman TD, Iarve EV, Cook BM, Schoeppner GA, Lipton RP. Optimization of a composite scarf repair patch under tensile loading Composites Part a: Applied Science and Manufacturing. 40: 1921-1930. DOI: 10.1016/J.Compositesa.2009.04.033 |
0.76 |
|
| 2008 |
Babuska IM, Lipton R, Stuebner M. The penetration function and its application to microscale problems Bit Numerical Mathematics. 48: 167-187. DOI: 10.1007/S10543-008-0182-Z |
0.743 |
|
| 2008 |
Lipton RP, Stuebnery M. A new method for design of composite structures for strength and stiffness 12th Aiaa/Issmo Multidisciplinary Analysis and Optimization Conference, Mao. |
0.378 |
|
| 2007 |
Breitzman T, Lipton R, Iarve E. Local Field Assessment inside Multiscale Composite Architectures Multiscale Modeling & Simulation. 6: 937-962. DOI: 10.1137/060676520 |
0.758 |
|
| 2007 |
Chen T, Lipton R. Bounds for the torsional rigidity of shafts with arbitrary cross-sections containing cylindrically orthotropic fibres or coated fibres Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 463: 3291-3309. DOI: 10.1098/Rspa.2007.0070 |
0.313 |
|
| 2007 |
Lipton R, Stuebner M. Optimal design of composite structures for strength and stiffness: an inverse homogenization approach Structural and Multidisciplinary Optimization. 33: 351-362. DOI: 10.1007/S00158-006-0089-8 |
0.781 |
|
| 2006 |
Lipton R. Homogenization and field concentrations in heterogeneous media Siam Journal On Mathematical Analysis. 38: 1048-1059. DOI: 10.1137/050648687 |
0.315 |
|
| 2006 |
Lipton R, Stuebner M. Inverse homogenization and design of microstructure for pointwise stress control Quarterly Journal of Mechanics and Applied Mathematics. 59: 139-161. DOI: 10.1093/Qjmam/Hbi035 |
0.776 |
|
| 2006 |
Lipton R. Optimal lower bounds on the dilatational strain inside random two-phase composites subjected to hydrostatic loading Mechanics of Materials. 38: 833-839. DOI: 10.1016/J.Mechmat.2005.06.018 |
0.353 |
|
| 2006 |
Lipton R, Stuebner M. Optimization of composite structures subject to local stress constraints Computer Methods in Applied Mechanics and Engineering. 196: 66-75. DOI: 10.1016/J.Cma.2006.01.012 |
0.773 |
|
| 2006 |
Zheng X, Forest MG, Lipton R, Zhou R. Nematic polymer mechanics: flow-induced anisotropy Continuum Mechanics and Thermodynamics. 18: 377-394. DOI: 10.1007/S00161-006-0032-7 |
0.3 |
|
| 2005 |
Lipton R. Homogenization theory and the assessment of extreme field values in composites with random microstructure Siam Journal On Applied Mathematics. 65: 475-493. DOI: 10.1137/S0036139903426976 |
0.351 |
|
| 2005 |
Lipton R. Optimal lower bounds on the hydrostatic stress amplification inside random two-phase elastic composites Journal of the Mechanics and Physics of Solids. 53: 2471-2481. DOI: 10.1016/J.Jmps.2005.06.007 |
0.452 |
|
| 2004 |
Lipton R. Stress constrained $G$ closure and relaxation of structural design problems Quarterly of Applied Mathematics. 62: 295-321. DOI: 10.1090/Qam/2054601 |
0.363 |
|
| 2004 |
Lipton R. Optimal lower bounds on the electric-field concentration in composite media Journal of Applied Physics. 96: 2821-2827. DOI: 10.1063/1.1777808 |
0.371 |
|
| 2004 |
Lipton R. Bounds on the distribution of extreme values for the stress in composite materials Journal of the Mechanics and Physics of Solids. 52: 1053-1069. DOI: 10.1016/J.Jmps.2003.09.033 |
0.437 |
|
| 2003 |
Lipton RP. Assessment of the local stress state through macroscopic variables. Philosophical Transactions. Series a, Mathematical, Physical, and Engineering Sciences. 361: 921-46. PMID 12804222 DOI: 10.1098/Rsta.2003.1172 |
0.416 |
|
| 2002 |
Lipton R. Relaxation through homogenization for optimal design problems with gradient constraints Journal of Optimization Theory and Applications. 114: 27-53. DOI: 10.1023/A:1015408020092 |
0.377 |
|
| 2002 |
Lipton R, Velo AP. Optimal Design of Gradient Fields with Applications to Electrostatics Studies in Mathematics and Its Applications. 31: 509-532. DOI: 10.1016/S0168-2024(02)80024-8 |
0.322 |
|
| 2002 |
Lipton R. Design of functionally graded composite structures in the presence of stress constraints International Journal of Solids and Structures. 39: 2575-2586. DOI: 10.1016/S0020-7683(02)00129-4 |
0.447 |
|
| 2001 |
Lipton R, Velo A. Design of Functionally Graded Composite Structures for Control of Stress Mrs Proceedings. 702. DOI: 10.1557/Proc-702-U10.4.1 |
0.424 |
|
| 2001 |
Lipton R. Optimal inequalities for gradients of solutions of elliptic equations occurring in two-phase heat conductors Siam Journal On Mathematical Analysis. 32: 1081-1093. DOI: 10.1137/S0036141000366625 |
0.344 |
|
| 2001 |
Lipton R, Talbot DRS. Bounds for the effective conductivity of a composite with an imperfect interface Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 457: 1501-1517. DOI: 10.1098/Rspa.2000.0775 |
0.375 |
|
| 2001 |
Lipton R. Optimal bounds on field fluctuations for random composites: Three dimensional problems Journal of Applied Physics. 89: 1371-1376. DOI: 10.1063/1.1332798 |
0.376 |
|
| 2001 |
Lipton R. Reiforcement of elastic structure in the presence of imperfect interfacial bonding Journal of Engineering Mechanics. 127: 667-671. DOI: 10.1061/(Asce)0733-9399(2001)127:7(667) |
0.37 |
|
| 2000 |
Diaz AR, Lipton R. Optimal Material Layout in Three-Dimensional Elastic Structures Subjected to Multiple Loads* Mechanics of Structures and Machines. 28: 219-236. DOI: 10.1081/Sme-100100619 |
0.404 |
|
| 2000 |
Lipton R. Optimal bounds on electric-field fluctuations for random composites Journal of Applied Physics. 88: 4287-4293. DOI: 10.1063/1.1290734 |
0.361 |
|
| 2000 |
Lipton R. Effect of interfacial bonding on fiber reinforced shafts subject to antiplane shear International Journal of Solids and Structures. 38: 369-387. DOI: 10.1016/S0020-7683(00)00022-6 |
0.306 |
|
| 1998 |
Lipton R. Optimal Fiber Configurations for Maximum Torsional Rigidity Archive For Rational Mechanics and Analysis. 144: 79-106. DOI: 10.1007/S002050050113 |
0.302 |
|
| 1997 |
Lipton R. Reciprocal relations, bounds, and size effects for composites with highly conducting interface Siam Journal On Applied Mathematics. 57: 347-363. DOI: 10.1137/S0036139995291180 |
0.348 |
|
| 1997 |
Bendsøe MP, Lipton R. Extremal overall elastic response of polycrystalline materials Journal of the Mechanics and Physics of Solids. 45: 1765-1780. DOI: 10.1016/S0022-5096(97)00032-X |
0.351 |
|
| 1997 |
Lipton R. Variational methods, bounds and size effects for composites with highly conducting interface Journal of the Mechanics and Physics of Solids. 45: 361-384. DOI: 10.1016/S0022-5096(96)00097-X |
0.36 |
|
| 1997 |
Lipton R, Daz A. Reinforced mindlin plates with extremal stiffness International Journal of Solids and Structures. 34: 3691-3704. DOI: 10.1016/S0020-7683(96)00219-3 |
0.348 |
|
| 1997 |
Hammer VB, Bendsoe MP, Lipton R, Pedersen P. Parametrization in Laminate Design for Optimal Compliance International Journal of Solids and Structures. 34: 415-434. DOI: 10.1016/S0020-7683(96)00023-6 |
0.427 |
|
| 1997 |
Díaz A, Lipton R. Optimal material layout for 3D elastic structures Structural Optimization. 13: 60-64. DOI: 10.1007/Bf01198376 |
0.374 |
|
| 1996 |
Lipton R, Vernescu B. Composites with Imperfect Interface Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 452: 329-358. DOI: 10.1098/Rspa.1996.0018 |
0.305 |
|
| 1996 |
Lipton R. The second Stekloff eigenvalue of an inclusion and new size effects for composites with interface thermal barriers Journal of Applied Physics. 80: 5583-5586. DOI: 10.1063/1.363609 |
0.354 |
|
| 1996 |
Lipton R, Vernescu BM. Critical Radius, Size Effects And Inverse Problems For Composites With Imperfect Interface Journal of Applied Physics. 79: 8964-8966. DOI: 10.1063/1.362628 |
0.354 |
|
| 1995 |
Lipton R, Vernescu B. Variational Methods, Size Effects And Extremal Microgeometries For Elastic Composites With Imperfect Interface Mathematical Models and Methods in Applied Sciences. 5: 1139-1173. DOI: 10.1142/S0218202595000607 |
0.354 |
|
| 1995 |
Di´az AR, Lipton R, Soto CA. A new formulation of the problem of optimum reinforcement of Reissner-Mindlin plates Computer Methods in Applied Mechanics and Engineering. 123: 121-139. DOI: 10.1016/0045-7825(94)00777-K |
0.417 |
|
| 1995 |
Bendsøe MP, Díaz AR, Lipton R, Taylor JE. Optimal design of material properties and material distribution for multiple loading conditions International Journal For Numerical Methods in Engineering. 38: 1149-1170. DOI: 10.1002/Nme.1620380705 |
0.411 |
|
| 1994 |
Lipton R. Optimal Bounds on Effective Elastic Tensors for Orthotropic Composites Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 444: 399-410. DOI: 10.1098/Rspa.1994.0028 |
0.423 |
|
| 1994 |
Lipton R, Vernescu B. Homogenisation of Two-Phase Emulsions Proceedings of the Royal Society of Edinburgh: Section a Mathematics. 124: 1119-1134. DOI: 10.1017/S0308210500030146 |
0.308 |
|
| 1994 |
Lipton R. Optimal design and relaxation for reinforced plates subject to random transverse loads Probabilistic Engineering Mechanics. 9: 167-177. DOI: 10.1016/0266-8920(94)90002-7 |
0.431 |
|
| 1994 |
Lipton R. Composites with symmetry and their extremal properties International Journal of Solids and Structures. 31: 3407-3417. DOI: 10.1016/0020-7683(94)90023-X |
0.351 |
|
| 1994 |
Lipton R. A saddle-point theorem with application to structural optimization Journal of Optimization Theory and Applications. 81: 549-568. DOI: 10.1007/Bf02193100 |
0.386 |
|
| 1992 |
Lipton R. Bounds and perturbation series for incompressible elastic composites with transverse isotropic symmetry Journal of Elasticity. 27: 193-225. DOI: 10.1007/Bf00041687 |
0.398 |
|
| 1991 |
Lipton R. On the behavior of elastic composites with transverse isotropic symmetry Journal of the Mechanics and Physics of Solids. 39: 663-681. DOI: 10.1016/0022-5096(91)90046-Q |
0.421 |
|
| 1990 |
James R, Lipton R, Lutoborski A. Laminar elastic composites with crystallographic symmetry Siam Journal On Applied Mathematics. 50: 683-702. DOI: 10.1137/0150040 |
0.358 |
|
| 1990 |
Lipton R. Saturation of the even-order bounds on effective elastic moduli by finite-rank laminates Journal of Applied Physics. 67: 7300-7306. DOI: 10.1063/1.344515 |
0.336 |
|
| 1988 |
Lipton R. On the effective elasticity of a two-dimensional homogenised incompressible elastic composite Proceedings of the Royal Society of Edinburgh: Section a Mathematics. 110: 45-61. DOI: 10.1017/S0308210500024847 |
0.352 |
|
| 1988 |
Kohn RV, Lipton R. Optimal bounds for the effective energy of a mixture of isotropic, incompressible, elastic materials Archive For Rational Mechanics and Analysis. 102: 331-350. DOI: 10.1007/Bf00251534 |
0.35 |
|
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