## Lipton, Robert P.

Compute Distance To:
 Author ID: lipton.robert-p Published as: Lipton, Robert; Lipton, R.; Lipton, Robert P.; Lipton, Rob more...less
 Documents Indexed: 87 Publications since 1986 Co-Authors: 43 Co-Authors with 53 Joint Publications 930 Co-Co-Authors
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### Co-Authors

 32 single-authored 6 Stuebner, Michael 5 Babuška, Ivo 5 Jha, Prashant K. 4 Bendsøe, Martin Philip 4 Vernescu, Bogdan 3 Chen, Yue 3 Diaz, Alejandro R. 2 Alali, Bacim 2 Chen, Tungyang 2 Forest, Mark Gregory 2 Fortes, Santiago P. 2 Hammer, Velaja B. 2 Kohn, Robert Vita 2 Mengesha, Tadele 2 Pedersen, Pauli 2 Shipman, Stephen P. 2 Sinz, Paul 2 Viator, Robert Jr. 2 Zheng, Xiaoyu 2 Zhou, Ruhai 1 Avellaneda, Marco 1 Breitzman, Timothy 1 Diehl, Patrick 1 Du, Qiang 1 Huang, Xu 1 Iarve, Endel V. 1 James, Richard D. 1 Jimenez, Silvia 1 Lurie, Konstantin A. 1 Lutoborski, Adam 1 Northrup, Jim 1 Perera, Ruchira 1 Polizzi, Anthony 1 Said, Eyad 1 Schweizer, Ben 1 Soto, Ciro A. 1 Talbot, D. R. S. 1 Taylor, John Edward 1 Thakur, Lokendra 1 Tyagi, Mayank 1 Velo, Ani P. 1 Wang, Qi 1 Wick, Thomas
all top 5

### Serials

 8 SIAM Journal on Applied Mathematics 7 Journal of the Mechanics and Physics of Solids 7 Journal of Elasticity 5 Archive for Rational Mechanics and Analysis 5 International Journal of Solids and Structures 4 Computer Methods in Applied Mechanics and Engineering 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Multiscale Modeling & Simulation 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 SIAM Journal on Mathematical Analysis 2 Control and Cybernetics 2 Journal of Optimization Theory and Applications 2 Quarterly of Applied Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Acta Mechanica 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 BIT 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Equations 1 SIAM Journal on Numerical Analysis 1 Computational Mechanics 1 Communications in Partial Differential Equations 1 Continuum Mechanics and Thermodynamics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete and Continuous Dynamical Systems. Series B 1 Structural and Multidisciplinary Optimization 1 Communications on Applied Mathematics and Computation
all top 5

### Fields

 66 Mechanics of deformable solids (74-XX) 32 Partial differential equations (35-XX) 13 Optics, electromagnetic theory (78-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Numerical analysis (65-XX) 5 Fluid mechanics (76-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX)

### Citations contained in zbMATH Open

80 Publications have been cited 676 times in 462 Documents Cited by Year
Optimal local approximation spaces for generalized finite element methods with application to multiscale problems. Zbl 1229.65195
Babuska, Ivo; Lipton, Robert
2011
Darcy’s law for slow viscous flow past a stationary array of bubbles. Zbl 0850.76778
Lipton, Robert; Avellaneda, Marco
1990
Composites with imperfect interface. Zbl 0872.73033
Lipton, Robert; Vernescu, Bogdan
1996
Dynamic brittle fracture as a small horizon limit of peridynamics. Zbl 1309.74065
Lipton, Robert
2014
Heat conduction in fine scale mixtures with interfacial contact resistance. Zbl 0913.35010
Lipton, Robert
1998
Multiscale dynamics of heterogeneous media in the peridynamic formulation. Zbl 1320.74029
Alali, Bacim; Lipton, Robert
2012
Extremal eigenvalue problems for two-phase conductors. Zbl 0914.49011
Cox, Steven; Lipton, Robert
1996
Cohesive dynamics and brittle fracture. Zbl 1386.74127
Lipton, Robert
2016
Inequalities for electric and elastic polarization tensors with applications to random composites. Zbl 0797.73046
Lipton, Robert
1993
Optimal design of material properties and material distribution for multiple loading conditions. Zbl 0822.73047
Bendsøe, Martin P.; Díaz, Alejandro R.; Lipton, Robert; Taylor, John E.
1995
Variational methods, bounds, and size effects for composites with highly conducting interface. Zbl 0969.74571
Lipton, Robert
1997
Optimal bounds for the effective energy of a mixture of isotropic, incompressible, elastic materials. Zbl 0662.73012
Kohn, Robert V.; Lipton, Robert
1988
Machine computation using the exponentially convergent multiscale spectral generalized finite element method. Zbl 1320.74097
Babuška, Ivo; Huang, Xu; Lipton, Robert
2014
Parametrization in laminate design for optimal compliance. Zbl 0943.74545
Hammer, V. B.; Bendsøe, M. P.; Lipton, R.; Pedersen, P.
1997
Resonance and double negative behavior in metamaterials. Zbl 1301.35165
Chen, Yue; Lipton, Robert
2013
Optimal design of gradient fields with applications to electrostatics. Zbl 1080.78003
Lipton, Robert; Velo, Ani P.
2002
$$L^{2}$$-global to local projection: An approach to multiscale analysis. Zbl 1242.65234
Babuska, Ivo; Lipton, Robert
2011
Design of functionally graded composite structures in the presence of stress constraints. Zbl 1032.74020
Lipton, Robert
2002
Optimal fiber configurations for maximum torsional rigidity. Zbl 0939.74051
Lipton, Robert
1998
Variational methods, size effects and extremal microgeometries for elastic composites with imperfect interface. Zbl 0848.73041
Lipton, Robert; Vernescu, Bogdan
1995
Relaxation through homogenization for optimal design problems with gradient constraints. Zbl 1005.49005
Lipton, R.
2002
Assessment of the local stress state through macroscopic variables. Zbl 1079.74054
Lipton, Robert P.
2003
Bloch waves in crystals and periodic high contrast media. Zbl 1375.35109
Lipton, Robert; Viator, Robert Jr.
2017
Multiscale analysis of linear evolution equations with applications to nonlocal models for heterogeneous media. Zbl 1348.74287
Du, Qiang; Lipton, Robert; Mengesha, Tadele
2016
A saddle-point theorem with application to structural optimization. Zbl 0810.73041
Lipton, R.
1994
Sub-wavelength plasmonic crystals: dispersion relations and effective properties. Zbl 1190.82045
Fortes, Santiago P.; Lipton, Robert P.; Shipman, Stephen P.
2010
The penetration function and its application to microscale problems. Zbl 1152.65105
Babuška, Ivo; Lipton, Robert; Stuebner, Michael
2008
On the behavior of elastic composites with transverse isotropic symmetry. Zbl 0754.73068
Lipton, Robert
1991
Free damage propagation with memory. Zbl 1403.74080
Lipton, Robert; Said, Eyad; Jha, Prashant
2018
Optimal lower bounds on the hydrostatic stress amplification inside random two-phase elastic composites. Zbl 1176.74152
Lipton, Robert
2005
On the effective elasticity of a two-dimensional homogenized incompressible elastic composite. Zbl 0683.73010
Lipton, Robert
1988
A new formulation of the problem of optimum reinforcement of Reissner-Mindlin plates. Zbl 1067.74051
Díaz, Alejandro R.; Lipton, Robert; Soto, Ciro A.
1995
Bounds for the effective conductivity of a composite with an imperfect interface. Zbl 0986.78012
Lipton, R.; Talbot, D. R. S.
2001
Stress-constrained G-closure and relaxation of structural design problems. Zbl 1075.74066
Lipton, Robert
2004
Creating band gaps in periodic media. Zbl 1386.35301
Lipton, Robert; Viator, Robert jun.
2017
Optimization of composite structures subject to local stress constraints. Zbl 1120.74695
Lipton, Robert; Stuebner, Michael
2006
Optimal inequalities for gradients of solutions of elliptic equations occurring in two-phase heat conductors. Zbl 0998.35009
Lipton, Robert
2001
Homogenisation of two-phase emulsions. Zbl 0817.76092
Lipton, Robert; Vernescu, Bogdan
1994
Influence of interfacial surface conduction on the DC electrical conductivity of particle reinforced composites. Zbl 0967.78007
Lipton, Robert
1998
Reciprocal relations, bounds, and size effects for composites with highly conducting interface. Zbl 0877.35012
Lipton, Robert
1997
Bounds and extremal configurations for the torsional rigidity of coated fiber reinforced shafts. Zbl 1126.74036
Lipton, Robert; Chen, Tungyang
2004
Uncertain loading and quantifying maximum energy concentration within composite structures. Zbl 1375.74038
Lipton, Robert; Sinz, Paul; Stuebner, Michael
2016
Inverse homogenization and design of microstructure for pointwise stress control. Zbl 1087.74046
Lipton, R.; Stuebner, M.
2006
Bounds for the torsional rigidity of shafts with arbitrary cross-sections containing cylindrically orthotropic fibres or coated fibres. Zbl 1138.74041
Chen, Tungyang; Lipton, Robert
2007
Multiscale-spectral GFEM and optimal oversampling. Zbl 1442.65402
Babuška, Ivo; Lipton, Robert; Sinz, Paul; Stuebner, Michael
2020
Numerical analysis of nonlocal fracture models in Hölder space. Zbl 1388.74054
Jha, Prashant K.; Lipton, Robert
2018
Bounds and perturbation series for incompressible elastic composites with transverse isotropic symmetry. Zbl 0756.73058
Lipton, Robert
1992
An isoperimetric inequality for the torsional rigidity of imperfectly bonded fiber reinforced cylinders. Zbl 0961.74039
Lipton, Robert
1999
Bounds on the distribution of extreme values for the stress in composite materials. Zbl 1070.74041
Lipton, Robert
2004
Optimal design of composite structures for strength and stiffness: an inverse homogenization approach. Zbl 1245.74007
Lipton, Robert; Stuebner, Michael
2007
Convergent power series for fields in positive or negative high-contrast periodic media. Zbl 1231.35245
Fortes, Santiago P.; Lipton, Robert P.; Shipman, Stephen P.
2011
Effective Maxwell’s equations for perfectly conducting split ring resonators. Zbl 1402.35272
Lipton, Robert; Schweizer, Ben
2018
Homogenization theory and the assessment of extreme field values in composites with random microstructure. Zbl 1074.74049
Lipton, Robert
2004
Local field assessment inside multiscale composite architectures. Zbl 1147.74005
Breitzman, Timothy; Lipton, Robert; Iarve, Endel
2007
Direct solution of an optimal layout problem for isotropic heat conductors in three dimensions. Zbl 0825.73051
Lurie, K. A.; Lipton, R.
1992
Nematic polymer mechanics: Flow-induced anisotropy. Zbl 1163.76003
Zheng, Xiaoyu; Forest, M. Gregory; Lipton, Robert; Zhou, Ruhai
2007
Extremal overall elastic response of polycrystalline materials. Zbl 0969.74522
Bendsøe, Martin P.; Lipton, Robert
1997
Effect of interfacial bonding on fiber-reinforced shafts subject to antiplane shear. Zbl 0978.74022
Lipton, Robert
2001
Laminar elastic composites with crystallographic symmetry. Zbl 0726.73042
James, Richard; Lipton, Robert; Lutoborski, Adam
1990
The second Stekloff eigenvalue and energy dissipation inequalities for functionals with surface energy. Zbl 0911.31002
Lipton, Robert
1998
Homogenization and design of functionally graded composites for stiffness and strength. Zbl 1320.74091
Lipton, R.
2005
Optimal lower bounds on local stress inside random media. Zbl 1197.35286
Alali, Bacim; Lipton, Robert
2009
Homogenization and field concentrations in heterogeneous media. Zbl 1151.35007
Lipton, Robert
2006
Novel metamaterial surfaces from perfectly conducting subwavelength corrugations. Zbl 1375.35531
Lipton, Robert; Polizzi, Anthony; Thakur, Lokendra
2017
Double negative dispersion relations from coated plasmonic rods. Zbl 1284.35413
Chen, Yue; Lipton, Robert
2013
Anisotropy and heterogeneity of nematic polymer nano-composite film properties. Zbl 1181.76026
Forest, M. Gregory; Zhou, Ruhai; Wang, Qi; Zheng, Xiaoyu; Lipton, Robert
2005
Reinforced Mindlin plates with extremal stiffness. Zbl 0942.74628
Lipton, Robert; Díaz, Alejandro
1997
Composites with symmetry and their extremal properties. Zbl 0946.74518
Lipton, Robert
1994
The effective viscosity of a mixture of two Stokes fluids. Zbl 0675.76107
Kohn, Robert V.; Lipton, Robert
1986
Two-phase elastic composites with interfacial slip. Zbl 0900.73468
Lipton, R.; Vernescu, B.
1996
Optimal bounds on the in-plane shear moduli for orthotropic elastic composites. Zbl 0794.73040
Lipton, Rob; Northrup, Jim
1994
Optimal bounds on effective elastic tensors for orthotropic composites. Zbl 0805.73044
Lipton, Robert
1994
Optimal lower bounds on the local stress inside random thermoelastic composites. Zbl 1320.74008
Chen, Yue; Lipton, Robert
2010
Representation formulas for $$L^\infty$$ norms of weakly convergent sequences of gradient fields in homogenization. Zbl 1273.35038
2012
Finite element convergence for state-based peridynamic fracture models. Zbl 1463.74103
Jha, Prashant K.; Lipton, Robert
2020
Numerical convergence of finite difference approximations for state based peridynamic fracture models. Zbl 1441.74018
Jha, Prashant K.; Lipton, Robert
2019
On optimal reinforcement of plates and choice of design parameters. Zbl 0820.73051
Lipton, Robert P.
1994
Reinforcement of elastic structures in the presence of imperfect bonding. Zbl 1165.74313
Lipton, Robert
2001
Nonlocal elastodynamics and fracture. Zbl 1464.74012
Lipton, Robert P.; Jha, Prashant K.
2021
Finite element approximation of nonlocal dynamic fracture models. Zbl 1465.74163
Jha, P. K.; Lipton, R.
2021
Nonlocal elastodynamics and fracture. Zbl 1464.74012
Lipton, Robert P.; Jha, Prashant K.
2021
Finite element approximation of nonlocal dynamic fracture models. Zbl 1465.74163
Jha, P. K.; Lipton, R.
2021
Multiscale-spectral GFEM and optimal oversampling. Zbl 1442.65402
Babuška, Ivo; Lipton, Robert; Sinz, Paul; Stuebner, Michael
2020
Finite element convergence for state-based peridynamic fracture models. Zbl 1463.74103
Jha, Prashant K.; Lipton, Robert
2020
Numerical convergence of finite difference approximations for state based peridynamic fracture models. Zbl 1441.74018
Jha, Prashant K.; Lipton, Robert
2019
Free damage propagation with memory. Zbl 1403.74080
Lipton, Robert; Said, Eyad; Jha, Prashant
2018
Numerical analysis of nonlocal fracture models in Hölder space. Zbl 1388.74054
Jha, Prashant K.; Lipton, Robert
2018
Effective Maxwell’s equations for perfectly conducting split ring resonators. Zbl 1402.35272
Lipton, Robert; Schweizer, Ben
2018
Bloch waves in crystals and periodic high contrast media. Zbl 1375.35109
Lipton, Robert; Viator, Robert Jr.
2017
Creating band gaps in periodic media. Zbl 1386.35301
Lipton, Robert; Viator, Robert&nbsp;jun.
2017
Novel metamaterial surfaces from perfectly conducting subwavelength corrugations. Zbl 1375.35531
Lipton, Robert; Polizzi, Anthony; Thakur, Lokendra
2017
Cohesive dynamics and brittle fracture. Zbl 1386.74127
Lipton, Robert
2016
Multiscale analysis of linear evolution equations with applications to nonlocal models for heterogeneous media. Zbl 1348.74287
Du, Qiang; Lipton, Robert; Mengesha, Tadele
2016
Uncertain loading and quantifying maximum energy concentration within composite structures. Zbl 1375.74038
Lipton, Robert; Sinz, Paul; Stuebner, Michael
2016
Dynamic brittle fracture as a small horizon limit of peridynamics. Zbl 1309.74065
Lipton, Robert
2014
Machine computation using the exponentially convergent multiscale spectral generalized finite element method. Zbl 1320.74097
Babuška, Ivo; Huang, Xu; Lipton, Robert
2014
Resonance and double negative behavior in metamaterials. Zbl 1301.35165
Chen, Yue; Lipton, Robert
2013
Double negative dispersion relations from coated plasmonic rods. Zbl 1284.35413
Chen, Yue; Lipton, Robert
2013
Multiscale dynamics of heterogeneous media in the peridynamic formulation. Zbl 1320.74029
Alali, Bacim; Lipton, Robert
2012
Representation formulas for $$L^\infty$$ norms of weakly convergent sequences of gradient fields in homogenization. Zbl 1273.35038
2012
Optimal local approximation spaces for generalized finite element methods with application to multiscale problems. Zbl 1229.65195
Babuska, Ivo; Lipton, Robert
2011
$$L^{2}$$-global to local projection: An approach to multiscale analysis. Zbl 1242.65234
Babuska, Ivo; Lipton, Robert
2011
Convergent power series for fields in positive or negative high-contrast periodic media. Zbl 1231.35245
Fortes, Santiago P.; Lipton, Robert P.; Shipman, Stephen P.
2011
Sub-wavelength plasmonic crystals: dispersion relations and effective properties. Zbl 1190.82045
Fortes, Santiago P.; Lipton, Robert P.; Shipman, Stephen P.
2010
Optimal lower bounds on the local stress inside random thermoelastic composites. Zbl 1320.74008
Chen, Yue; Lipton, Robert
2010
Optimal lower bounds on local stress inside random media. Zbl 1197.35286
Alali, Bacim; Lipton, Robert
2009
The penetration function and its application to microscale problems. Zbl 1152.65105
Babuška, Ivo; Lipton, Robert; Stuebner, Michael
2008
Bounds for the torsional rigidity of shafts with arbitrary cross-sections containing cylindrically orthotropic fibres or coated fibres. Zbl 1138.74041
Chen, Tungyang; Lipton, Robert
2007
Optimal design of composite structures for strength and stiffness: an inverse homogenization approach. Zbl 1245.74007
Lipton, Robert; Stuebner, Michael
2007
Local field assessment inside multiscale composite architectures. Zbl 1147.74005
Breitzman, Timothy; Lipton, Robert; Iarve, Endel
2007
Nematic polymer mechanics: Flow-induced anisotropy. Zbl 1163.76003
Zheng, Xiaoyu; Forest, M. Gregory; Lipton, Robert; Zhou, Ruhai
2007
Optimization of composite structures subject to local stress constraints. Zbl 1120.74695
Lipton, Robert; Stuebner, Michael
2006
Inverse homogenization and design of microstructure for pointwise stress control. Zbl 1087.74046
Lipton, R.; Stuebner, M.
2006
Homogenization and field concentrations in heterogeneous media. Zbl 1151.35007
Lipton, Robert
2006
Optimal lower bounds on the hydrostatic stress amplification inside random two-phase elastic composites. Zbl 1176.74152
Lipton, Robert
2005
Homogenization and design of functionally graded composites for stiffness and strength. Zbl 1320.74091
Lipton, R.
2005
Anisotropy and heterogeneity of nematic polymer nano-composite film properties. Zbl 1181.76026
Forest, M. Gregory; Zhou, Ruhai; Wang, Qi; Zheng, Xiaoyu; Lipton, Robert
2005
Stress-constrained G-closure and relaxation of structural design problems. Zbl 1075.74066
Lipton, Robert
2004
Bounds and extremal configurations for the torsional rigidity of coated fiber reinforced shafts. Zbl 1126.74036
Lipton, Robert; Chen, Tungyang
2004
Bounds on the distribution of extreme values for the stress in composite materials. Zbl 1070.74041
Lipton, Robert
2004
Homogenization theory and the assessment of extreme field values in composites with random microstructure. Zbl 1074.74049
Lipton, Robert
2004
Assessment of the local stress state through macroscopic variables. Zbl 1079.74054
Lipton, Robert P.
2003
Optimal design of gradient fields with applications to electrostatics. Zbl 1080.78003
Lipton, Robert; Velo, Ani P.
2002
Design of functionally graded composite structures in the presence of stress constraints. Zbl 1032.74020
Lipton, Robert
2002
Relaxation through homogenization for optimal design problems with gradient constraints. Zbl 1005.49005
Lipton, R.
2002
Bounds for the effective conductivity of a composite with an imperfect interface. Zbl 0986.78012
Lipton, R.; Talbot, D. R. S.
2001
Optimal inequalities for gradients of solutions of elliptic equations occurring in two-phase heat conductors. Zbl 0998.35009
Lipton, Robert
2001
Effect of interfacial bonding on fiber-reinforced shafts subject to antiplane shear. Zbl 0978.74022
Lipton, Robert
2001
Reinforcement of elastic structures in the presence of imperfect bonding. Zbl 1165.74313
Lipton, Robert
2001
An isoperimetric inequality for the torsional rigidity of imperfectly bonded fiber reinforced cylinders. Zbl 0961.74039
Lipton, Robert
1999
Heat conduction in fine scale mixtures with interfacial contact resistance. Zbl 0913.35010
Lipton, Robert
1998
Optimal fiber configurations for maximum torsional rigidity. Zbl 0939.74051
Lipton, Robert
1998
Influence of interfacial surface conduction on the DC electrical conductivity of particle reinforced composites. Zbl 0967.78007
Lipton, Robert
1998
The second Stekloff eigenvalue and energy dissipation inequalities for functionals with surface energy. Zbl 0911.31002
Lipton, Robert
1998
Variational methods, bounds, and size effects for composites with highly conducting interface. Zbl 0969.74571
Lipton, Robert
1997
Parametrization in laminate design for optimal compliance. Zbl 0943.74545
Hammer, V. B.; Bendsøe, M. P.; Lipton, R.; Pedersen, P.
1997
Reciprocal relations, bounds, and size effects for composites with highly conducting interface. Zbl 0877.35012
Lipton, Robert
1997
Extremal overall elastic response of polycrystalline materials. Zbl 0969.74522
Bendsøe, Martin P.; Lipton, Robert
1997
Reinforced Mindlin plates with extremal stiffness. Zbl 0942.74628
Lipton, Robert; Díaz, Alejandro
1997
Composites with imperfect interface. Zbl 0872.73033
Lipton, Robert; Vernescu, Bogdan
1996
Extremal eigenvalue problems for two-phase conductors. Zbl 0914.49011
Cox, Steven; Lipton, Robert
1996
Two-phase elastic composites with interfacial slip. Zbl 0900.73468
Lipton, R.; Vernescu, B.
1996
Optimal design of material properties and material distribution for multiple loading conditions. Zbl 0822.73047
Bendsøe, Martin P.; Díaz, Alejandro R.; Lipton, Robert; Taylor, John E.
1995
Variational methods, size effects and extremal microgeometries for elastic composites with imperfect interface. Zbl 0848.73041
Lipton, Robert; Vernescu, Bogdan
1995
A new formulation of the problem of optimum reinforcement of Reissner-Mindlin plates. Zbl 1067.74051
Díaz, Alejandro R.; Lipton, Robert; Soto, Ciro A.
1995
A saddle-point theorem with application to structural optimization. Zbl 0810.73041
Lipton, R.
1994
Homogenisation of two-phase emulsions. Zbl 0817.76092
Lipton, Robert; Vernescu, Bogdan
1994
Composites with symmetry and their extremal properties. Zbl 0946.74518
Lipton, Robert
1994
Optimal bounds on the in-plane shear moduli for orthotropic elastic composites. Zbl 0794.73040
Lipton, Rob; Northrup, Jim
1994
Optimal bounds on effective elastic tensors for orthotropic composites. Zbl 0805.73044
Lipton, Robert
1994
On optimal reinforcement of plates and choice of design parameters. Zbl 0820.73051
Lipton, Robert P.
1994
Inequalities for electric and elastic polarization tensors with applications to random composites. Zbl 0797.73046
Lipton, Robert
1993
Bounds and perturbation series for incompressible elastic composites with transverse isotropic symmetry. Zbl 0756.73058
Lipton, Robert
1992
Direct solution of an optimal layout problem for isotropic heat conductors in three dimensions. Zbl 0825.73051
Lurie, K. A.; Lipton, R.
1992
On the behavior of elastic composites with transverse isotropic symmetry. Zbl 0754.73068
Lipton, Robert
1991
Darcy’s law for slow viscous flow past a stationary array of bubbles. Zbl 0850.76778
Lipton, Robert; Avellaneda, Marco
1990
Laminar elastic composites with crystallographic symmetry. Zbl 0726.73042
James, Richard; Lipton, Robert; Lutoborski, Adam
1990
Optimal bounds for the effective energy of a mixture of isotropic, incompressible, elastic materials. Zbl 0662.73012
Kohn, Robert V.; Lipton, Robert
1988
On the effective elasticity of a two-dimensional homogenized incompressible elastic composite. Zbl 0683.73010
Lipton, Robert
1988
The effective viscosity of a mixture of two Stokes fluids. Zbl 0675.76107
Kohn, Robert V.; Lipton, Robert
1986
all top 5

### Cited by 589 Authors

 31 Lipton, Robert P. 12 Kang, Hyeonbae 11 Du, Qiang 10 Allaire, Grégoire 10 Ammari, Habib M. 10 Milton, Graeme Walter 8 Hou, Thomas Yizhao 8 Mengesha, Tadele 7 Babuška, Ivo 7 Chen, Tungyang 7 Lee, Hyundae 7 Lu, Jianfeng 7 Mikelić, Andro 7 Pedregal, Pablo 7 Schweizer, Ben 7 Vernescu, Bogdan 6 Amar, Micol 6 Capdeboscq, Yves 6 Donato, Patrizia 6 Li, Qin 6 Målqvist, Axel 6 Tian, Xiaochuan 6 Yu, Yue 5 Bellido, José Carlos 5 Benveniste, Yakov 5 D’Elia, Marta 5 Grabovsky, Yury 5 Gruais, Isabelle 5 Huang, Ming 5 Jha, Prashant K. 5 Lewiński, Tomasz 5 Monsurrò, Sara 5 Nika, Grigor 5 Perugia, Carmen 5 Peterseim, Daniel 5 Poliševski, Dan A. 5 Stuebner, Michael 4 Abdulle, Assyr 4 Andreucci, Daniele 4 Bendsøe, Martin Philip 4 Bravo-Castillero, Julián 4 Faella, Luisa 4 Gianni, Roberto 4 Guinovart-Díaz, Raúl 4 Gunzburger, Max D. 4 Harutyunyan, Davit 4 Henning, Patrick 4 Kao, Chiu-Yen 4 Kohn, Robert Vita 4 Owhadi, Houman 4 Privat, Yannick 4 Rodríguez-Ramos, Reinaldo 4 Schweitzer, Marc Alexander 4 Smetana, Kathrin 4 You, Huaiqian 4 Zhang, Zhiwen 3 Alali, Bacim 3 Breitkopf, Piotr 3 Buryachenko, Valeriy A. 3 Casado-Díaz, Juan 3 Chen, Jingrun 3 Chen, Ke 3 Conca, Carlos 3 Cruz, Manuel E. 3 Dayal, Kaushik 3 Després, Bruno 3 Donoso, Alberto 3 Efendiev, Yalchin R. 3 Jäger, Willi 3 Javili, Ali 3 Jiang, Lijian 3 Li, Guanglian 3 Li, Xingjie Helen 3 Ma, Dingjiong 3 Ma, Lingling 3 Mohammadi, Seyyed Abbas 3 Olhoff, Niels 3 Osting, Braxton 3 Pang, Liping 3 Pérez-Fernández, Leslie D. 3 Pham, Duc Chinh 3 Scott, James M. 3 Trask, Nathaniel A. 3 Urban, Maik 3 Viator, Robert Jr. 3 Wang, Michael Yu 3 Wright, Stephen J. 3 Wu, Sa 3 Xia, Liang 3 Xia, Zunquan 3 Yao, Zhengan 3 Zhao, Hongxing 2 Abdalla, Mostafa M. 2 Acharya, Amit 2 Aksoylu, Burak 2 Andrés, Fuensanta 2 Andrianov, Igor V. 2 Banerjee, Uday 2 Beyer, Horst Reinhard 2 Bisegna, Paolo ...and 489 more Authors
all top 5

### Cited in 136 Serials

 39 Computer Methods in Applied Mechanics and Engineering 27 Multiscale Modeling & Simulation 20 Journal of the Mechanics and Physics of Solids 17 Journal of Elasticity 16 Structural and Multidisciplinary Optimization 15 Archive for Rational Mechanics and Analysis 13 Applicable Analysis 11 SIAM Journal on Scientific Computing 10 Journal of Computational Physics 10 Journal of Optimization Theory and Applications 9 Computational Mechanics 9 SIAM Journal on Mathematical Analysis 8 International Journal of Engineering Science 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Applied Mathematics and Optimization 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Mathematics and Mechanics of Solids 6 Journal of Differential Equations 6 SIAM Journal on Numerical Analysis 6 SIAM Journal on Applied Mathematics 6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 Acta Mechanica 5 Mathematical Methods in the Applied Sciences 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Journal of Scientific Computing 4 Applications of Mathematics 4 Calculus of Variations and Partial Differential Equations 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Journal of Mathematical Analysis and Applications 3 Mathematics of Computation 3 Journal of Computational and Applied Mathematics 3 Quarterly of Applied Mathematics 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Applied Mathematical Modelling 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Continuum Mechanics and Thermodynamics 3 NoDEA. Nonlinear Differential Equations and Applications 3 European Journal of Mechanics. A. Solids 3 Nonlinear Analysis. Real World Applications 3 Archives of Computational Methods in Engineering 2 Communications on Pure and Applied Mathematics 2 Journal of Mathematical Physics 2 Nonlinearity 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Applied Mathematics and Computation 2 International Journal for Numerical Methods in Engineering 2 Numerical Functional Analysis and Optimization 2 Numerische Mathematik 2 Chinese Annals of Mathematics. Series B 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Physica D 2 Applied Numerical Mathematics 2 Communications in Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 2 Communications in Contemporary Mathematics 2 Optimization and Engineering 2 Analysis and Applications (Singapore) 2 Networks and Heterogeneous Media 2 Discrete and Continuous Dynamical Systems. Series S 2 Nonlinear Analysis. Theory, Methods & Applications 2 Research in the Mathematical Sciences 2 Journal de l’École Polytechnique – Mathématiques 2 Journal of Elliptic and Parabolic Equations 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Archives of Mechanics 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 International Journal of Plasticity 1 International Journal of Solids and Structures 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Engineering Mathematics 1 Physica A 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Wave Motion 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 BIT 1 Czechoslovak Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Philosophical Logic 1 Meccanica 1 Mechanics Research Communications 1 SIAM Journal on Control and Optimization 1 Synthese 1 Advances in Applied Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Optimization 1 European Journal of Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 International Journal of Computer Mathematics 1 Journal of Non-Newtonian Fluid Mechanics 1 SIAM Review 1 Mathematical Programming. Series A. Series B 1 Archive of Applied Mechanics 1 Journal of Mathematical Imaging and Vision 1 Computational Optimization and Applications 1 Communications in Numerical Methods in Engineering 1 Journal of Mathematical Sciences (New York) ...and 36 more Serials
all top 5

### Cited in 40 Fields

 229 Mechanics of deformable solids (74-XX) 207 Partial differential equations (35-XX) 119 Numerical analysis (65-XX) 53 Fluid mechanics (76-XX) 51 Calculus of variations and optimal control; optimization (49-XX) 36 Optics, electromagnetic theory (78-XX) 25 Integral equations (45-XX) 16 Statistical mechanics, structure of matter (82-XX) 15 Classical thermodynamics, heat transfer (80-XX) 13 Operations research, mathematical programming (90-XX) 9 Operator theory (47-XX) 9 Biology and other natural sciences (92-XX) 9 Systems theory; control (93-XX) 8 Functional analysis (46-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Functions of a complex variable (30-XX) 5 Probability theory and stochastic processes (60-XX) 4 Mechanics of particles and systems (70-XX) 3 General and overarching topics; collections (00-XX) 3 Mathematical logic and foundations (03-XX) 3 Real functions (26-XX) 3 Potential theory (31-XX) 3 Approximations and expansions (41-XX) 3 Statistics (62-XX) 2 Ordinary differential equations (34-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)