Edit Profile (opens in new tab) Lipton, Robert P. Co-Author Distance Author ID: lipton.robert-p Published as: Lipton, Robert; Lipton, R.; Lipton, Robert P.; Lipton, Rob more...less Homepage: https://www.math.lsu.edu/~lipton/ External Links: MGP · ORCID Documents Indexed: 101 Publications since 1986, including 9 Additional arXiv Preprints Co-Authors: 50 Co-Authors with 67 Joint Publications 1,221 Co-Co-Authors all top 5 Co-Authors 32 single-authored 9 Jha, Prashant Kumar 7 Stuebner, Michael 5 Babuška, Ivo 4 Bendsøe, Martin Philip 4 Bhattacharya, Debdeep 4 Diehl, Patrick 4 Vernescu, Bogdan 3 Chen, Yue 3 Diaz, Alejandro R. 3 Sinz, Paul 3 Viator, Robert Jr. 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 Polizzi, Anthony 2 Shipman, Stephen P. 2 Zheng, Xiaoyu 2 Zhou, Ruhai 1 Adili, Abiti 1 Avellaneda, Marco 1 Breitzman, Timothy 1 Du, Qiang 1 Huang, Xu 1 Iarve, Endel V. 1 James, Richard D. 1 Jiménez Bolaños, Silvia 1 Jimenez, Silvia 1 Lehoucq, Richard B. 1 Li, Wei 1 Lurie, Konstantin A. 1 Lutoborski, Adam 1 Maier, Matthias Sebastian 1 Northrup, Jim 1 Ou, Miao-Jung Yvonne 1 Perera, Ruchira 1 Said, Eyad 1 Schweizer, Ben 1 Silling, Stewart A. 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 Computer Methods in Applied Mechanics and Engineering 5 International Journal of Solids and Structures 5 Multiscale Modeling & Simulation 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 SIAM Journal on Mathematical Analysis 2 Control and Cybernetics 2 International Journal for Numerical Methods in Engineering 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 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 SIAM Journal on Scientific Computing 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 73 Mechanics of deformable solids (74-XX) 35 Partial differential equations (35-XX) 14 Optics, electromagnetic theory (78-XX) 10 Numerical analysis (65-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 5 Fluid mechanics (76-XX) 3 Ordinary differential equations (34-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 1 Potential theory (31-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 84 Publications have been cited 845 times in 567 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 104 2011 Dynamic brittle fracture as a small horizon limit of peridynamics. Zbl 1309.74065 Lipton, Robert 47 2014 Darcy’s law for slow viscous flow past a stationary array of bubbles. Zbl 0850.76778 Lipton, Robert; Avellaneda, Marco 46 1990 Composites with imperfect interface. Zbl 0872.73033 Lipton, Robert; Vernescu, Bogdan 41 1996 Heat conduction in fine scale mixtures with interfacial contact resistance. Zbl 0913.35010 Lipton, Robert 35 1998 Multiscale dynamics of heterogeneous media in the peridynamic formulation. Zbl 1320.74029 Alali, Bacim; Lipton, Robert 31 2012 Cohesive dynamics and brittle fracture. Zbl 1386.74127 Lipton, Robert 29 2016 Extremal eigenvalue problems for two-phase conductors. Zbl 0914.49011 Cox, Steven; Lipton, Robert 24 1996 Inequalities for electric and elastic polarization tensors with applications to random composites. Zbl 0797.73046 Lipton, Robert 22 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. 21 1995 Variational methods, bounds, and size effects for composites with highly conducting interface. Zbl 0969.74571 Lipton, Robert 21 1997 Optimal bounds for the effective energy of a mixture of isotropic, incompressible, elastic materials. Zbl 0662.73012 Kohn, Robert V.; Lipton, Robert 18 1988 Machine computation using the exponentially convergent multiscale spectral generalized finite element method. Zbl 1320.74097 Babuška, Ivo; Huang, Xu; Lipton, Robert 18 2014 Resonance and double negative behavior in metamaterials. Zbl 1301.35165 Chen, Yue; Lipton, Robert 17 2013 Multiscale-spectral GFEM and optimal oversampling. Zbl 1442.65402 Babuška, Ivo; Lipton, Robert; Sinz, Paul; Stuebner, Michael 15 2020 Parametrization in laminate design for optimal compliance. Zbl 0943.74545 Hammer, V. B.; Bendsøe, M. P.; Lipton, R.; Pedersen, P. 14 1997 Multiscale analysis of linear evolution equations with applications to nonlocal models for heterogeneous media. Zbl 1348.74287 Du, Qiang; Lipton, Robert; Mengesha, Tadele 13 2016 Optimal design of gradient fields with applications to electrostatics. Zbl 1080.78003 Lipton, Robert; Velo, Ani P. 13 2002 Variational methods, size effects and extremal microgeometries for elastic composites with imperfect interface. Zbl 0848.73041 Lipton, Robert; Vernescu, Bogdan 12 1995 Design of functionally graded composite structures in the presence of stress constraints. Zbl 1032.74020 Lipton, Robert 12 2002 \(L^{2}\)-global to local projection: An approach to multiscale analysis. Zbl 1242.65234 Babuska, Ivo; Lipton, Robert 11 2011 Optimal fiber configurations for maximum torsional rigidity. Zbl 0939.74051 Lipton, Robert 11 1998 Bloch waves in crystals and periodic high contrast media. Zbl 1375.35109 Lipton, Robert; Viator, Robert Jr. 11 2017 Numerical analysis of nonlocal fracture models in Hölder space. Zbl 1388.74054 Jha, Prashant K.; Lipton, Robert 10 2018 A comparative review of peridynamics and phase-field models for engineering fracture mechanics. Zbl 1505.74191 Diehl, Patrick; Lipton, Robert; Wick, Thomas; Tyagi, Mayank 10 2022 Bounds for the effective conductivity of a composite with an imperfect interface. Zbl 0986.78012 Lipton, R.; Talbot, D. R. S. 9 2001 Assessment of the local stress state through macroscopic variables. Zbl 1079.74054 Lipton, Robert P. 9 2003 Relaxation through homogenization for optimal design problems with gradient constraints. Zbl 1005.49005 Lipton, R. 9 2002 Free damage propagation with memory. Zbl 1403.74080 Lipton, Robert; Said, Eyad; Jha, Prashant 9 2018 On the effective elasticity of a two-dimensional homogenized incompressible elastic composite. Zbl 0683.73010 Lipton, Robert 7 1988 Sub-wavelength plasmonic crystals: dispersion relations and effective properties. Zbl 1190.82045 Fortes, Santiago P.; Lipton, Robert P.; Shipman, Stephen P. 7 2010 Optimal lower bounds on the hydrostatic stress amplification inside random two-phase elastic composites. Zbl 1176.74152 Lipton, Robert 7 2005 A saddle-point theorem with application to structural optimization. Zbl 0810.73041 Lipton, R. 7 1994 Uncertain loading and quantifying maximum energy concentration within composite structures. Zbl 1375.74038 Lipton, Robert; Sinz, Paul; Stuebner, Michael 7 2016 Creating band gaps in periodic media. Zbl 1386.35301 Lipton, Robert; Viator, Robert jun. 7 2017 The penetration function and its application to microscale problems. Zbl 1152.65105 Babuška, Ivo; Lipton, Robert; Stuebner, Michael 7 2008 A new formulation of the problem of optimum reinforcement of Reissner-Mindlin plates. Zbl 1067.74051 Díaz, Alejandro R.; Lipton, Robert; Soto, Ciro A. 6 1995 Optimization of composite structures subject to local stress constraints. Zbl 1120.74695 Lipton, Robert; Stuebner, Michael 6 2006 Optimal inequalities for gradients of solutions of elliptic equations occurring in two-phase heat conductors. Zbl 0998.35009 Lipton, Robert 6 2001 Influence of interfacial surface conduction on the DC electrical conductivity of particle reinforced composites. Zbl 0967.78007 Lipton, Robert 6 1998 Stress-constrained G-closure and relaxation of structural design problems. Zbl 1075.74066 Lipton, Robert 6 2004 Inverse homogenization and design of microstructure for pointwise stress control. Zbl 1087.74046 Lipton, R.; Stuebner, M. 6 2006 On the behavior of elastic composites with transverse isotropic symmetry. Zbl 0754.73068 Lipton, Robert 6 1991 Reciprocal relations, bounds, and size effects for composites with highly conducting interface. Zbl 0877.35012 Lipton, Robert 6 1997 Effective Maxwell’s equations for perfectly conducting split ring resonators. Zbl 1402.35272 Lipton, Robert; Schweizer, Ben 6 2018 Homogenization and field concentrations in heterogeneous media. Zbl 1151.35007 Lipton, Robert 5 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 5 2007 Optimal design of composite structures for strength and stiffness: an inverse homogenization approach. Zbl 1245.74007 Lipton, Robert; Stuebner, Michael 5 2007 Homogenisation of two-phase emulsions. Zbl 0817.76092 Lipton, Robert; Vernescu, Bogdan 5 1994 Bounds and extremal configurations for the torsional rigidity of coated fiber reinforced shafts. Zbl 1126.74036 Lipton, Robert; Chen, Tungyang 5 2004 Nonlocal elastodynamics and fracture. Zbl 1464.74012 Lipton, Robert P.; Jha, Prashant K. 5 2021 Numerical convergence of finite difference approximations for state based peridynamic fracture models. Zbl 1441.74018 Jha, Prashant K.; Lipton, Robert 5 2019 An isoperimetric inequality for the torsional rigidity of imperfectly bonded fiber reinforced cylinders. Zbl 0961.74039 Lipton, Robert 4 1999 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. 4 2011 Bounds on the distribution of extreme values for the stress in composite materials. Zbl 1070.74041 Lipton, Robert 4 2004 Bounds and perturbation series for incompressible elastic composites with transverse isotropic symmetry. Zbl 0756.73058 Lipton, Robert 4 1992 Optimal lower bounds on local stress inside random media. Zbl 1197.35286 Alali, Bacim; Lipton, Robert 4 2009 Finite element approximation of nonlocal dynamic fracture models. Zbl 1465.74163 Jha, P. K.; Lipton, R. 4 2021 Homogenization theory and the assessment of extreme field values in composites with random microstructure. Zbl 1074.74049 Lipton, Robert 3 2004 Laminar elastic composites with crystallographic symmetry. Zbl 0726.73042 James, Richard; Lipton, Robert; Lutoborski, Adam 3 1990 Local field assessment inside multiscale composite architectures. Zbl 1147.74005 Breitzman, Timothy; Lipton, Robert; Iarve, Endel 3 2007 Finite element convergence for state-based peridynamic fracture models. Zbl 1463.74103 Jha, Prashant K.; Lipton, Robert 3 2020 The second Stekloff eigenvalue and energy dissipation inequalities for functionals with surface energy. Zbl 0911.31002 Lipton, Robert 2 1998 On optimal reinforcement of plates and choice of design parameters. Zbl 0820.73051 Lipton, Robert P. 2 1994 Extremal overall elastic response of polycrystalline materials. Zbl 0969.74522 Bendsøe, Martin P.; Lipton, Robert 2 1997 Effect of interfacial bonding on fiber-reinforced shafts subject to antiplane shear. Zbl 0978.74022 Lipton, Robert 2 2001 Nematic polymer mechanics: Flow-induced anisotropy. Zbl 1163.76003 Zheng, Xiaoyu; Forest, M. Gregory; Lipton, Robert; Zhou, Ruhai 2 2007 Direct solution of an optimal layout problem for isotropic heat conductors in three dimensions. Zbl 0825.73051 Lurie, K. A.; Lipton, R. 2 1992 Novel metamaterial surfaces from perfectly conducting subwavelength corrugations. Zbl 1375.35531 Lipton, Robert; Polizzi, Anthony; Thakur, Lokendra 2 2017 Homogenization and design of functionally graded composites for stiffness and strength. Zbl 1320.74091 Lipton, R. 2 2005 Optimal lower bounds on the local stress inside random thermoelastic composites. Zbl 1320.74008 Chen, Yue; Lipton, Robert 2 2010 The effective viscosity of a mixture of two Stokes fluids. Zbl 0675.76107 Kohn, Robert V.; Lipton, Robert 1 1986 Anisotropy and heterogeneity of nematic polymer nano-composite film properties. Zbl 1181.76026 Forest, M. Gregory; Zhou, Ruhai; Wang, Qi; Zheng, Xiaoyu; Lipton, Robert 1 2005 Reinforced Mindlin plates with extremal stiffness. Zbl 0942.74628 Lipton, Robert; Díaz, Alejandro 1 1997 Composites with symmetry and their extremal properties. Zbl 0946.74518 Lipton, Robert 1 1994 Two-phase elastic composites with interfacial slip. Zbl 0900.73468 Lipton, R.; Vernescu, B. 1 1996 Optimal bounds on the in-plane shear moduli for orthotropic elastic composites. Zbl 0794.73040 Lipton, Rob; Northrup, Jim 1 1994 Optimal bounds on effective elastic tensors for orthotropic composites. Zbl 0805.73044 Lipton, Robert 1 1994 Reinforcement of elastic structures in the presence of imperfect bonding. Zbl 1165.74313 Lipton, Robert 1 2001 Double negative dispersion relations from coated plasmonic rods. Zbl 1284.35413 Chen, Yue; Lipton, Robert 1 2013 Quasistatic fracture using nonlinear-nonlocal elastostatics with explicit tangent stiffness matrix. Zbl 07768023 Diehl, Patrick; Lipton, Robert 1 2022 Representation formulas for \(L^\infty\) norms of weakly convergent sequences of gradient fields in homogenization. Zbl 1273.35038 Lipton, Robert; Mengesha, Tadele 1 2012 Bloch waves in high contrast electromagnetic crystals. Zbl 1500.35118 Lipton, Robert; Viator, Robert Jr.; Bolaños, Silvia Jiménez; Adili, Abiti 1 2022 Simulating grain shape effects and damage in granular media using PeriDEM. Zbl 1512.74006 Bhattacharya, Debdeep; Lipton, Robert P. 1 2023 Simulating grain shape effects and damage in granular media using PeriDEM. Zbl 1512.74006 Bhattacharya, Debdeep; Lipton, Robert P. 1 2023 A comparative review of peridynamics and phase-field models for engineering fracture mechanics. Zbl 1505.74191 Diehl, Patrick; Lipton, Robert; Wick, Thomas; Tyagi, Mayank 10 2022 Quasistatic fracture using nonlinear-nonlocal elastostatics with explicit tangent stiffness matrix. Zbl 07768023 Diehl, Patrick; Lipton, Robert 1 2022 Bloch waves in high contrast electromagnetic crystals. Zbl 1500.35118 Lipton, Robert; Viator, Robert Jr.; Bolaños, Silvia Jiménez; Adili, Abiti 1 2022 Nonlocal elastodynamics and fracture. Zbl 1464.74012 Lipton, Robert P.; Jha, Prashant K. 5 2021 Finite element approximation of nonlocal dynamic fracture models. Zbl 1465.74163 Jha, P. K.; Lipton, R. 4 2021 Multiscale-spectral GFEM and optimal oversampling. Zbl 1442.65402 Babuška, Ivo; Lipton, Robert; Sinz, Paul; Stuebner, Michael 15 2020 Finite element convergence for state-based peridynamic fracture models. Zbl 1463.74103 Jha, Prashant K.; Lipton, Robert 3 2020 Numerical convergence of finite difference approximations for state based peridynamic fracture models. Zbl 1441.74018 Jha, Prashant K.; Lipton, Robert 5 2019 Numerical analysis of nonlocal fracture models in Hölder space. Zbl 1388.74054 Jha, Prashant K.; Lipton, Robert 10 2018 Free damage propagation with memory. Zbl 1403.74080 Lipton, Robert; Said, Eyad; Jha, Prashant 9 2018 Effective Maxwell’s equations for perfectly conducting split ring resonators. Zbl 1402.35272 Lipton, Robert; Schweizer, Ben 6 2018 Bloch waves in crystals and periodic high contrast media. Zbl 1375.35109 Lipton, Robert; Viator, Robert Jr. 11 2017 Creating band gaps in periodic media. Zbl 1386.35301 Lipton, Robert; Viator, Robert jun. 7 2017 Novel metamaterial surfaces from perfectly conducting subwavelength corrugations. Zbl 1375.35531 Lipton, Robert; Polizzi, Anthony; Thakur, Lokendra 2 2017 Cohesive dynamics and brittle fracture. Zbl 1386.74127 Lipton, Robert 29 2016 Multiscale analysis of linear evolution equations with applications to nonlocal models for heterogeneous media. Zbl 1348.74287 Du, Qiang; Lipton, Robert; Mengesha, Tadele 13 2016 Uncertain loading and quantifying maximum energy concentration within composite structures. Zbl 1375.74038 Lipton, Robert; Sinz, Paul; Stuebner, Michael 7 2016 Dynamic brittle fracture as a small horizon limit of peridynamics. Zbl 1309.74065 Lipton, Robert 47 2014 Machine computation using the exponentially convergent multiscale spectral generalized finite element method. Zbl 1320.74097 Babuška, Ivo; Huang, Xu; Lipton, Robert 18 2014 Resonance and double negative behavior in metamaterials. Zbl 1301.35165 Chen, Yue; Lipton, Robert 17 2013 Double negative dispersion relations from coated plasmonic rods. Zbl 1284.35413 Chen, Yue; Lipton, Robert 1 2013 Multiscale dynamics of heterogeneous media in the peridynamic formulation. Zbl 1320.74029 Alali, Bacim; Lipton, Robert 31 2012 Representation formulas for \(L^\infty\) norms of weakly convergent sequences of gradient fields in homogenization. Zbl 1273.35038 Lipton, Robert; Mengesha, Tadele 1 2012 Optimal local approximation spaces for generalized finite element methods with application to multiscale problems. Zbl 1229.65195 Babuska, Ivo; Lipton, Robert 104 2011 \(L^{2}\)-global to local projection: An approach to multiscale analysis. Zbl 1242.65234 Babuska, Ivo; Lipton, Robert 11 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. 4 2011 Sub-wavelength plasmonic crystals: dispersion relations and effective properties. Zbl 1190.82045 Fortes, Santiago P.; Lipton, Robert P.; Shipman, Stephen P. 7 2010 Optimal lower bounds on the local stress inside random thermoelastic composites. Zbl 1320.74008 Chen, Yue; Lipton, Robert 2 2010 Optimal lower bounds on local stress inside random media. Zbl 1197.35286 Alali, Bacim; Lipton, Robert 4 2009 The penetration function and its application to microscale problems. Zbl 1152.65105 Babuška, Ivo; Lipton, Robert; Stuebner, Michael 7 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 5 2007 Optimal design of composite structures for strength and stiffness: an inverse homogenization approach. Zbl 1245.74007 Lipton, Robert; Stuebner, Michael 5 2007 Local field assessment inside multiscale composite architectures. Zbl 1147.74005 Breitzman, Timothy; Lipton, Robert; Iarve, Endel 3 2007 Nematic polymer mechanics: Flow-induced anisotropy. Zbl 1163.76003 Zheng, Xiaoyu; Forest, M. Gregory; Lipton, Robert; Zhou, Ruhai 2 2007 Optimization of composite structures subject to local stress constraints. Zbl 1120.74695 Lipton, Robert; Stuebner, Michael 6 2006 Inverse homogenization and design of microstructure for pointwise stress control. Zbl 1087.74046 Lipton, R.; Stuebner, M. 6 2006 Homogenization and field concentrations in heterogeneous media. Zbl 1151.35007 Lipton, Robert 5 2006 Optimal lower bounds on the hydrostatic stress amplification inside random two-phase elastic composites. Zbl 1176.74152 Lipton, Robert 7 2005 Homogenization and design of functionally graded composites for stiffness and strength. Zbl 1320.74091 Lipton, R. 2 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 1 2005 Stress-constrained G-closure and relaxation of structural design problems. Zbl 1075.74066 Lipton, Robert 6 2004 Bounds and extremal configurations for the torsional rigidity of coated fiber reinforced shafts. Zbl 1126.74036 Lipton, Robert; Chen, Tungyang 5 2004 Bounds on the distribution of extreme values for the stress in composite materials. Zbl 1070.74041 Lipton, Robert 4 2004 Homogenization theory and the assessment of extreme field values in composites with random microstructure. Zbl 1074.74049 Lipton, Robert 3 2004 Assessment of the local stress state through macroscopic variables. Zbl 1079.74054 Lipton, Robert P. 9 2003 Optimal design of gradient fields with applications to electrostatics. Zbl 1080.78003 Lipton, Robert; Velo, Ani P. 13 2002 Design of functionally graded composite structures in the presence of stress constraints. Zbl 1032.74020 Lipton, Robert 12 2002 Relaxation through homogenization for optimal design problems with gradient constraints. Zbl 1005.49005 Lipton, R. 9 2002 Bounds for the effective conductivity of a composite with an imperfect interface. Zbl 0986.78012 Lipton, R.; Talbot, D. R. S. 9 2001 Optimal inequalities for gradients of solutions of elliptic equations occurring in two-phase heat conductors. Zbl 0998.35009 Lipton, Robert 6 2001 Effect of interfacial bonding on fiber-reinforced shafts subject to antiplane shear. Zbl 0978.74022 Lipton, Robert 2 2001 Reinforcement of elastic structures in the presence of imperfect bonding. Zbl 1165.74313 Lipton, Robert 1 2001 An isoperimetric inequality for the torsional rigidity of imperfectly bonded fiber reinforced cylinders. Zbl 0961.74039 Lipton, Robert 4 1999 Heat conduction in fine scale mixtures with interfacial contact resistance. Zbl 0913.35010 Lipton, Robert 35 1998 Optimal fiber configurations for maximum torsional rigidity. Zbl 0939.74051 Lipton, Robert 11 1998 Influence of interfacial surface conduction on the DC electrical conductivity of particle reinforced composites. Zbl 0967.78007 Lipton, Robert 6 1998 The second Stekloff eigenvalue and energy dissipation inequalities for functionals with surface energy. Zbl 0911.31002 Lipton, Robert 2 1998 Variational methods, bounds, and size effects for composites with highly conducting interface. Zbl 0969.74571 Lipton, Robert 21 1997 Parametrization in laminate design for optimal compliance. Zbl 0943.74545 Hammer, V. B.; Bendsøe, M. P.; Lipton, R.; Pedersen, P. 14 1997 Reciprocal relations, bounds, and size effects for composites with highly conducting interface. Zbl 0877.35012 Lipton, Robert 6 1997 Extremal overall elastic response of polycrystalline materials. Zbl 0969.74522 Bendsøe, Martin P.; Lipton, Robert 2 1997 Reinforced Mindlin plates with extremal stiffness. Zbl 0942.74628 Lipton, Robert; Díaz, Alejandro 1 1997 Composites with imperfect interface. Zbl 0872.73033 Lipton, Robert; Vernescu, Bogdan 41 1996 Extremal eigenvalue problems for two-phase conductors. Zbl 0914.49011 Cox, Steven; Lipton, Robert 24 1996 Two-phase elastic composites with interfacial slip. Zbl 0900.73468 Lipton, R.; Vernescu, B. 1 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. 21 1995 Variational methods, size effects and extremal microgeometries for elastic composites with imperfect interface. Zbl 0848.73041 Lipton, Robert; Vernescu, Bogdan 12 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. 6 1995 A saddle-point theorem with application to structural optimization. Zbl 0810.73041 Lipton, R. 7 1994 Homogenisation of two-phase emulsions. Zbl 0817.76092 Lipton, Robert; Vernescu, Bogdan 5 1994 On optimal reinforcement of plates and choice of design parameters. Zbl 0820.73051 Lipton, Robert P. 2 1994 Composites with symmetry and their extremal properties. Zbl 0946.74518 Lipton, Robert 1 1994 Optimal bounds on the in-plane shear moduli for orthotropic elastic composites. Zbl 0794.73040 Lipton, Rob; Northrup, Jim 1 1994 Optimal bounds on effective elastic tensors for orthotropic composites. Zbl 0805.73044 Lipton, Robert 1 1994 Inequalities for electric and elastic polarization tensors with applications to random composites. Zbl 0797.73046 Lipton, Robert 22 1993 Bounds and perturbation series for incompressible elastic composites with transverse isotropic symmetry. Zbl 0756.73058 Lipton, Robert 4 1992 Direct solution of an optimal layout problem for isotropic heat conductors in three dimensions. Zbl 0825.73051 Lurie, K. A.; Lipton, R. 2 1992 On the behavior of elastic composites with transverse isotropic symmetry. Zbl 0754.73068 Lipton, Robert 6 1991 Darcy’s law for slow viscous flow past a stationary array of bubbles. Zbl 0850.76778 Lipton, Robert; Avellaneda, Marco 46 1990 Laminar elastic composites with crystallographic symmetry. Zbl 0726.73042 James, Richard; Lipton, Robert; Lutoborski, Adam 3 1990 Optimal bounds for the effective energy of a mixture of isotropic, incompressible, elastic materials. Zbl 0662.73012 Kohn, Robert V.; Lipton, Robert 18 1988 On the effective elasticity of a two-dimensional homogenized incompressible elastic composite. Zbl 0683.73010 Lipton, Robert 7 1988 The effective viscosity of a mixture of two Stokes fluids. Zbl 0675.76107 Kohn, Robert V.; Lipton, Robert 1 1986 all cited Publications top 5 cited Publications all top 5 Cited by 750 Authors 37 Lipton, Robert P. 12 Du, Qiang 12 Kang, Hyeonbae 11 Milton, Graeme Walter 11 Peterseim, Daniel 10 Allaire, Grégoire 10 Ammari, Habib 10 D’Elia, Marta 10 Mengesha, Tadele 9 Amar, Micol 9 Hou, Thomas Yizhao 8 Donato, Patrizia 8 Li, Qin 8 Lu, Jianfeng 8 Målqvist, Axel 8 Mikelić, Andro 7 Babuška, Ivo 7 Chen, Tungyang 7 Gunzburger, Max D. 7 Jha, Prashant Kumar 7 Lee, Hyundae 7 Pedregal, Pablo 7 Schweizer, Ben 7 Tian, Xiaochuan 7 Vernescu, Bogdan 6 Andreucci, Daniele 6 Capdeboscq, Yves 6 Monsurrò, Sara 6 Perugia, Carmen 6 Smetana, Kathrin 6 Stuebner, Michael 6 Viator, Robert Jr. 6 Yu, Yue 5 Bellido, José Carlos 5 Benveniste, Yakov 5 Bravo-Castillero, Julián 5 Efendiev, Yalchin R. 5 Gianni, Roberto 5 Grabovsky, Yury 5 Gruais, Isabelle 5 Henning, Patrick 5 Huang, Ming 5 Kao, Chiu-Yen 5 Lewiński, Tomasz 5 Maier, Roland 5 Nika, Grigor 5 Poliševski, Dan A. 5 Wright, Stephen J. 5 Zhang, Zhiwen 4 Abdulle, Assyr 4 Bendsøe, Martin Philip 4 Chung, Tsz Shun Eric 4 Coclite, Giuseppe Maria 4 Dayal, Kaushik 4 Faella, Luisa 4 Guinovart-Díaz, Raúl 4 Harutyunyan, Davit 4 Hauck, Moritz 4 Idiart, Martín I. 4 Jiang, Lijian 4 Keil, Tim 4 Kohn, Robert Vita 4 Li, Xingjie Helen 4 Ljung, Per 4 Maddalena, Francesco 4 Osting, Braxton 4 Owhadi, Houman 4 Pérez-Fernández, Leslie D. 4 Privat, Yannick 4 Rodríguez-Ramos, Reinaldo 4 Scheichl, Robert 4 Schweitzer, Marc Alexander 4 Scott, James M. 4 You, Huaiqian 3 Alali, Bacim 3 Amirat, Youcef Aït 3 Breitkopf, Piotr 3 Buryachenko, Valeriy A. 3 Capodaglio, Giacomo 3 Chen, Jingrun 3 Chen, Ke 3 Chen, Yifan 3 Conca, Carlos 3 Cruz, Manuel E. 3 Després, Bruno 3 Donoso, Alberto 3 Galvis, Juan 3 Godin, Yuri A. 3 Hovsepyan, Narek 3 Jäger, Willi 3 Javili, Ali 3 Ju, Lili 3 Li, Guanglian 3 Lopez, Luciano 3 Ma, Chupeng 3 Ma, Dingjiong 3 Ma, Lingling 3 Mohammadi, Seyyed Abbas 3 Nie, Yufeng 3 Ohlberger, Mario ...and 650 more Authors all top 5 Cited in 157 Serials 50 Computer Methods in Applied Mechanics and Engineering 36 Multiscale Modeling & Simulation 20 Journal of the Mechanics and Physics of Solids 18 Journal of Elasticity 17 Journal of Computational Physics 16 Archive for Rational Mechanics and Analysis 16 Structural and Multidisciplinary Optimization 15 SIAM Journal on Scientific Computing 13 Applicable Analysis 11 Computational Mechanics 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 SIAM Journal on Numerical Analysis 9 International Journal of Engineering Science 9 Journal of Optimization Theory and Applications 9 SIAM Journal on Mathematical Analysis 8 Applied Mathematics and Optimization 8 Journal of Differential Equations 8 Mathematics and Mechanics of Solids 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Mathematical Methods in the Applied Sciences 6 Journal of Scientific Computing 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 Journal of Mathematical Analysis and Applications 5 International Journal for Numerical Methods in Engineering 5 European Journal of Mechanics. A. Solids 4 Nonlinearity 4 Mathematics of Computation 4 Applications of Mathematics 4 Applied Mathematical Modelling 4 Proceedings of the Royal Society of Edinburgh. Section A. 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 Physics 3 Journal of Computational and Applied Mathematics 3 Numerische Mathematik 3 Quarterly of Applied Mathematics 3 Chinese Annals of Mathematics. Series B 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Continuum Mechanics and Thermodynamics 3 NoDEA. Nonlinear Differential Equations and Applications 3 Nonlinear Analysis. Real World Applications 3 Archives of Computational Methods in Engineering 3 Mathematics and Mechanics of Complex Systems 3 Research in the Mathematical Sciences 2 Computers & Mathematics with Applications 2 Communications on Pure and Applied Mathematics 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Applied Mathematics and Computation 2 Meccanica 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Control and Optimization 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of Computational Mathematics 2 Physica D 2 Applied Numerical Mathematics 2 European Journal of Applied Mathematics 2 Communications in Partial Differential Equations 2 Engineering Analysis with Boundary Elements 2 Discrete and Continuous Dynamical Systems 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Fractional Calculus & Applied Analysis 2 Communications in Contemporary Mathematics 2 Optimization and Engineering 2 Analysis and Applications (Singapore) 2 Acta Numerica 2 Networks and Heterogeneous Media 2 Discrete and Continuous Dynamical Systems. Series S 2 Nonlinear Analysis. Theory, Methods & Applications 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 Houston Journal of Mathematics 1 International Journal of Plasticity 1 International Journal of Solids and Structures 1 Inverse Problems 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 the London Mathematical Society. Second Series 1 Journal of Philosophical Logic 1 Mechanics Research Communications 1 Ricerche di Matematica 1 Synthese 1 Advances in Applied Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Optimization ...and 57 more Serials all top 5 Cited in 40 Fields 276 Mechanics of deformable solids (74-XX) 253 Partial differential equations (35-XX) 168 Numerical analysis (65-XX) 70 Fluid mechanics (76-XX) 55 Calculus of variations and optimal control; optimization (49-XX) 41 Optics, electromagnetic theory (78-XX) 31 Integral equations (45-XX) 18 Statistical mechanics, structure of matter (82-XX) 16 Operations research, mathematical programming (90-XX) 14 Classical thermodynamics, heat transfer (80-XX) 11 Approximations and expansions (41-XX) 11 Functional analysis (46-XX) 10 Operator theory (47-XX) 10 Systems theory; control (93-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 8 Functions of a complex variable (30-XX) 8 Biology and other natural sciences (92-XX) 7 Probability theory and stochastic processes (60-XX) 6 Potential theory (31-XX) 6 Mechanics of particles and systems (70-XX) 5 Real functions (26-XX) 5 Statistics (62-XX) 5 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 3 Mathematical logic and foundations (03-XX) 3 Quantum theory (81-XX) 2 History and biography (01-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Convex and discrete geometry (52-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Geophysics (86-XX) 2 Information and communication theory, circuits (94-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 Harmonic analysis on Euclidean spaces (42-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year