Edit Profile (opens in new tab) Rubin, Miles B. Compute Distance To: Compute Author ID: rubin.miles-b Published as: Rubin, M. B.; Rubin, Miles B. Documents Indexed: 116 Publications since 1981, including 2 Books Co-Authors: 43 Co-Authors with 63 Joint Publications 612 Co-Co-Authors all top 5 Co-Authors 44 single-authored 15 Jabareen, Mahmood 5 Naghdi, Paul Mansour 4 Safadi, M. M. 3 Bodner, Sol R. 3 Rosenau, Philip S. 2 Attia, A. V. 2 Boerner, Eiris F. I. 2 Dorfmann, Luis 2 Ehret, Alexander E. 2 Elata, David 2 Flynn, Cormac 2 Hollenstein, M. 2 Katzir, Z. 2 Klepach, D. 2 Morris, Joseph P. 2 Solav, Dana 2 Vorob’ev, O. Yu 2 Wolf, Alon 2 Wriggers, Peter 1 Baron, Eugeniusz 1 Benveniste, Yakov 1 Berryman, James G. 1 Blair, S. C. 1 Cardiff, Philip 1 Einav, Itai 1 Forest, Samuel 1 Gottlieb, Oded 1 Hanukah, Eli 1 Heuze, Francois E. 1 Ichihara, M. 1 Kogelbauer, Florian 1 Kroon, Martin 1 Löhnert, Stefan 1 Luehr, Charles P. 1 Mazza, Eduardo 1 Nielsen, Poul M. F. 1 Peled, A. 1 Rapoport, L. 1 Sharf, Inna 1 Tirosh, Jehuda 1 Trimmer, Barry A. 1 Yankelevsky, David Z. 1 Yarin, Alexander L. all top 5 Serials 19 International Journal of Engineering Science 19 International Journal of Solids and Structures 17 Journal of Elasticity 13 Computational Mechanics 9 Journal of Applied Mechanics 4 Mathematics and Mechanics of Solids 2 Journal of Fluid Mechanics 2 Journal of the Mechanics and Physics of Solids 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Continuum Mechanics and Thermodynamics 2 Communications in Numerical Methods in Engineering 2 European Journal of Mechanics. A. Solids 2 Solid Mechanics and Its Applications 2 International Journal for Numerical Methods in Biomedical Engineering 1 Archives of Mechanics 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Plasticity 1 Physics of Fluids 1 Wave Motion 1 International Journal for Numerical Methods in Engineering 1 Quarterly of Applied Mathematics 1 Physica D 1 Journal of Non-Newtonian Fluid Mechanics 1 Mechanism and Machine Theory 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. B. Fluids 1 Engineering Computations 1 International Journal of Fracture 1 Journal of Applied Physics 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 110 Mechanics of deformable solids (74-XX) 10 Biology and other natural sciences (92-XX) 9 Fluid mechanics (76-XX) 5 Classical thermodynamics, heat transfer (80-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 94 Publications have been cited 699 times in 362 Documents Cited by ▼ Year ▼ Cosserat theories: Shells, rods and points. Zbl 0984.74003Rubin, M. B. 89 2000 A new 3-D finite element for nonlinear elasticity using the theory of a Cosserat point. Zbl 1054.74057Nadler, B.; Rubin, M. B. 38 2003 On the theory of a Cosserat point and its application to the numerical solution of continuum problems. Zbl 0569.73002Rubin, M. B. 33 1985 Response of a nonlinear elastic general Cosserat brick element in simulations typically exhibiting locking and hourglassing. Zbl 1138.74394Loehnert, S.; Boerner, E. F. I.; Rubin, M. B.; Wriggers, P. 23 2005 Continuum model of dispersion caused by an inherent material characteristic length. Zbl 1244.74070Rubin, M. B.; Rosenau, P.; Gottlieb, O. 23 1995 On the numerical solution on one-dimensional continuum problems using the theory of a Cosserat point. Zbl 0569.73003Rubin, M. B. 22 1985 A Cosserat shell model for interphases in elastic media. Zbl 1112.74422Rubin, M. B.; Benveniste, Y. 22 2004 Plasticity theory formulated in terms of physically based microstructural variables. I: Theory. Zbl 0943.74507Rubin, M. B. 22 1994 Constrained theories of rods. Zbl 0558.73042Naghdi, P. M.; Rubin, M. B. 16 1984 Hyperelasticity and physical shear buckling of a block predicted by the Cosserat point element compared with inelasticity and hourglassing predicted by other element formulations. Zbl 1167.74044Jabareen, M.; Rubin, M. B. 15 2007 Physical reasons for abandoning plastic deformation measures in plasticity and viscoplasticity theory. Zbl 1060.74015Rubin, M. B. 14 2001 A three-dimensional nonlinear model for dissipative response of soft tissue. Zbl 1042.74036Rubin, M. B.; Bodner, S. R. 14 2002 Hyperbolic heat conduction and the second law. Zbl 0764.73006Rubin, M. B. 14 1992 Calculation of hyperelastic response of finitely deformed elastic-viscoplastic materials. Zbl 0842.73080Rubin, M. B.; Attia, A. 14 1996 Modeling a smooth elastic-inelastic transition with a strongly objective numerical integrator needing no iteration. Zbl 1282.74105Hollenstein, M.; Jabareen, M.; Rubin, M. B. 14 2013 Numerical solution procedures for nonlinear elastic rods using the theory of a Cosserat point. Zbl 1040.74030Rubin, M. B. 13 2001 The significance of projection operators in the spectral representation of symmetric second order tensors. Zbl 0733.73002Luehr, C. P.; Rubin, M. B. 13 1990 Removal of unphysical arbitrariness in constitutive equations for elastically anisotropic nonlinear elastic-viscoplastic solids. Zbl 1423.74165Rubin, M. B. 13 2012 An improved 3-D brick Cosserat point element for irregular shaped elements. Zbl 1168.74048Jabareen, M.; Rubin, M. B. 12 2007 Free vibration of a rectangular parallelepiped using the theory of a Cosserat point. Zbl 0592.73084Rubin, M. B. 11 1986 On the treatment of elastic deformation in finite elastic-viscoplastic theory. Zbl 1002.74509Rubin, M. B. 11 1996 Restrictions on nonlinear constitutive equations for elastic shells. Zbl 0840.73040Naghdi, P. M.; Rubin, M. B. 11 1995 Physically based invariants for nonlinear elastic orthotropic solids. Zbl 1127.74006Rubin, M. B.; Jabareen, M. 11 2008 A unified theoretical structure for modeling interstitial growth and muscle activation in soft tissues. Zbl 1423.74628Rubin, M. B.; Safadi, M. M.; Jabareen, M. 10 2015 Numerical solution of axisymmetric nonlinear elastic problems including shells using the theory of a Cosserat point. Zbl 1100.74057Rubin, M. B. 9 2005 Simulations of underground structures subjected to dynamic loading using the distinct element method. Zbl 1062.74663Morris, J. P.; Rubin, M. B.; Blair, S. C.; Glenn, L. A.; Heuze, F. E. 9 2004 An elastic-viscoplastic model exhibiting continuity of solid and fluid states. Zbl 0616.73006Rubin, M. B. 8 1987 An elastic-viscoplastic model for large deformation. Zbl 0587.73051Rubin, M. B. 7 1986 An elastic-viscoplastic model for metals subjected to high compression. Zbl 0618.73048Rubin, M. B. 7 1987 On inviscid flow in a waterfall. Zbl 0474.76017Naghdi, P. M.; Rubin, M. B. 7 1981 Determination of hourglass coefficients in the theory of a Cosserat point for nonlinear elastic beams. Zbl 1060.74565Nadler, B.; Rubin, M. B. 7 2003 Restrictions on linear constitutive equations for a rigid heat conducting Cosserat shell. Zbl 1179.74076Rubin, M. B. 6 2004 Restrictions on nonlinear constitutive equations for elastic rods. Zbl 0881.73055Rubin, M. B. 6 1996 A new analysis of stresses in arteries based on an Eulerian formulation of growth in tissues. Zbl 1423.74631Safadi, M. M.; Rubin, M. B. 6 2017 On the transition to planing of a boat. Zbl 0455.76010Naghdi, P. M.; Rubin, M. B. 6 1981 A rate-independent crystal plasticity model with a smooth elastic-plastic transition and no slip indeterminacy. Zbl 1406.74114Forest, Samuel; Rubin, M. B. 6 2016 Mechanical and numerical modeling of a porous elastic-viscoplastic material with tensile failure. Zbl 0990.74015Rubin, M. B.; Vorobiev, O. Yu.; Glenn, L. A. 6 2000 Erratum to: “Modeling a smooth elastic-inelastic transition with a strongly objective numerical integrator needing no iteration”. Zbl 1316.74070Hollenstein, M.; Jabareen, M.; Rubin, M. B. 5 2015 Arithmetic and geometric solutions for average rigid-body rotation. Zbl 1359.70070Sharf, Inna; Wolf, Alon; Rubin, M. B. 5 2010 Cosserat point element \((CPE)\) for finite deformation of orthotropic elastic materials. Zbl 1398.74341Jabareen, M.; Sharipova, L.; Rubin, M. B. 5 2012 Numerical solution of two- and three-dimensional thermomechanical problems using the theory of a Cosserat point. Zbl 0832.73064Rubin, M. B. 5 1995 Modeling added compressibility of porosity and the thermomechanical response of wet porous rock with application to Mt. Helen Tuff. Zbl 0919.73278Rubin, M. B.; Elata, D.; Attia, A. V. 5 1996 Isotropy of strain energy functions which depend only on a finite number of directional strain measures. Zbl 0814.73002Elata, D.; Rubin, M. B. 5 1994 Unphysical properties of the rotation tensor estimated by least squares optimization with specific application to biomechanics. Zbl 1423.74629Rubin, M. B.; Solav, D. 4 2016 A ten node tetrahedral Cosserat point element (CPE) for nonlinear isotropic elastic materials. Zbl 1398.74340Jabareen, M.; Hanukah, E.; Rubin, M. B. 4 2013 Plasticity theory formulated in terms of physically based microstructural variables. II: Examples. Zbl 0943.74508Rubin, M. B. 4 1994 The significance of pure measures of distortion in nonlinear elasticity with reference to the Poynting problem. Zbl 0653.73025Rubin, M. B. 4 1988 Influence of membrane stresses on postbuckling of rectangular plates using a nonlinear elastic 3-D cosserat brick element. Zbl 1178.74105Klepach, D.; Rubin, M. B. 4 2007 On the theory of a Cosserat point and shear locking in thin beams. Zbl 1102.74323Rubin, M. B. 3 2001 Some nonlinear three-dimensional motions of an elastic string. Zbl 0585.73037Rosenau, Philip; Rubin, M. B. 3 1986 An incremental elastic-viscoplastic theory indicating a reduced modulus for non-proportional buckling. Zbl 0886.73015Rubin, M. B.; Bodner, S. R. 3 1995 Termination of the starting problem of dynamic expansion of a spherical cavity in an infinite elastic-perfectly-plastic medium. Zbl 1283.74025Rapoport, L.; Katzir, Z.; Rubin, M. B. 3 2011 Significant differences in the mechanical modeling of confined growth predicted by the Lagrangian and Eulerian formulations. Zbl 1423.74193Safadi, M. M.; Rubin, M. B. 3 2018 A model for the anisotropic response of fibrous soft tissues using six discrete fibre bundles. Zbl 1242.92008Flynn, Cormac; Rubin, M. B.; Nielsen, Poul 3 2011 On the quest for the best Timoshenko shear coefficient. Zbl 1110.74658Rubin, M. B. 3 2003 A simple formula for dynamic spherical cavity expansion in a compressible elastic perfectly plastic material with large deformations. Zbl 1269.74033Katzir, Z.; Rubin, M. B. 3 2011 A large deformation breakage model of granular materials including porosity and inelastic distortional deformation rate. Zbl 1423.74846Rubin, M. B.; Einav, Itai 3 2011 An anisotropic discrete fibre model based on a generalised strain invariant with application to soft biological tissues. Zbl 1423.74611Flynn, Cormac; Rubin, M. B. 3 2012 A simplified implicit Newmark integration scheme for finite rotations. Zbl 1190.74027Rubin, M. B. 3 2007 Further developments of physically based invariants for nonlinear elastic orthotropic solids. Zbl 1381.74028Rubin, M. B.; Jabareen, M. 3 2011 Seven invariants are needed to characterize general orthotropic elastic materials: A comment on “Nonlinear orthotropic elasticity: only six invariants are independent”. Zbl 1334.74016Rubin, M. B. 2 2016 A Bernoulli equation for potential flow of incompressible materials with an inherent material characteristic length. Zbl 1371.76017Rubin, M. B. 2 2013 Post-buckling behavior of nonlinear elastic beams and three-dimensional frames using the theory of a Cosserat point. Zbl 1066.74028Nadler, B.; Rubin, M. B. 2 2004 A thermoelastic-viscoplastic model with a rate-dependent yield strength. Zbl 0485.73010Rubin, M. B. 2 1982 A new approach to modeling early cardiac morphogenesis during c-looping. Zbl 1423.74630Safadi, M. M.; Rubin, M. B. 2 2017 Reciprocal theorem for a linear elastic Cosserat interphase with general geometry. Zbl 1327.74014Rubin, M. B. 2 2015 On evolution equations for elastic deformation and the notion of hyperelasticity. Zbl 1213.74067Rubin, M. B. 2 2009 A thermomechanical anisotropic model for shock loading of elastic-plastic and elastic-viscoplastic materials with application to jointed rock. Zbl 1398.74073Rubin, M. B.; Vorobiev, O.; Vitali, E. 2 2016 On the relationship between phenomenological models for elastic- viscoplastic metals and polymeric liquids. Zbl 0813.76005Rubin, M. B.; Yarin, A. L. 2 1993 A time integration procedure for plastic deformation in elastic- viscoplastic metals. Zbl 0683.73019Rubin, M. B. 2 1989 Modified torsion coefficients for a 3-D brick Cosserat point element. Zbl 1162.74467Jabareen, M.; Rubin, M. B. 2 2008 Heat conduction in plates and shells with emphasis on a conical shell. Zbl 0587.73180Rubin, M. B. 1 1986 Invariants for rari- and multi-constant theories with generalization to anisotropy in biological tissues. Zbl 1415.74007Rubin, M. B.; Ehret, A. E. 1 2018 A class of exact nonlinear traveling wave solutions for shallow water with a non-stationary bottom surface. Zbl 1472.76017Kogelbauer, F.; Rubin, M. B. 1 2019 Numerical solution procedures for nonlinear elastic curved rods using the theory of a Cosserat point. Zbl 1104.74036Rubin, M. B. 1 2005 Failures of the three-dimensional patch test for large elastic deformations. Zbl 1323.74087Jabareen, M.; Rubin, M. B. 1 2010 Rheological models for large deformations of elastic-viscoplastic materials. Zbl 1231.74113Rubin, M. B.; Ichihara, M. 1 2010 Postbuckling response and ultimate strength of a compressed rectangular elastic plate using a 3-D Cosserat brick element. Zbl 1110.74023Klepach, D.; Rubin, M. B. 1 2007 A Cosserat point element (CPE) for the numerical solution of problems in finite elasticity. Zbl 1396.74100Jabareen, Mahmood; Rubin, Miles B. 1 2010 Heat conduction between confocal elliptical surfaces using the theory of a Cosserat shell. Zbl 1119.74476Rubin, M. B. 1 2006 The effect of curvature at the detachment point of a fluid sheet from a rigid boundary. Zbl 0488.76013Naghdi, P. M.; Rubin, M. B. 1 1982 A six node plane strain triangular Cosserat point element (CPE) for nonlinear elasticity. Zbl 1423.74892Jabareen, M.; Rubin, M. B. 1 2014 Soft tissue artifact compensation using triangular Cosserat point elements (TCPEs). Zbl 1423.74963Solav, Dana; Rubin, M. B.; Wolf, Alon 1 2014 Universal relations for elastically isotropic elastic-plastic materials. Zbl 0754.73041Rubin, M. B.; Chen, R. 1 1991 A uniqueness theorem for thermoelastic shells with generalized boundary conditions. Zbl 0605.73008Rubin, M. B. 1 1986 On the numerical solution of nonlinear string problems using the theory of a Cosserat point. Zbl 0605.73085Rubin, M. B. 1 1987 On the numerical solution of spherically symmetric problems using the theory of a Cosserat surface. Zbl 0614.73092Rubin, M. B. 1 1987 A Cosserat point element (CPE) for nearly planar problems (including thickness changes) in nonlinear elasticity. Zbl 1213.74289Jabareen, M.; Rubin, M. B. 1 2008 Advantages of formulating an evolution equation directly for elastic distortional deformation in finite deformation plasticity. Zbl 1388.74017Rubin, M. B.; Cardiff, Philip 1 2017 An intrinsic formulation for nonlinear elastic rods. Zbl 0942.74589Rubin, M. B. 1 1997 A thermodynamically consistent large deformation elastic-viscoplastic model with directional tensile failure. Zbl 1054.74536Rubin, M. B.; Lomov, I. 1 2003 Thermomechanical constitutive equations for the dynamic response of ceramics. Zbl 1054.74504Bar-on, E.; Rubin, M. B.; Yankelevsky, D. Z. 1 2003 Analysis of blank thickening in deep drawing processes using the theory of a Cosserat generalized membrane. Zbl 1045.74502Peled, A.; Rubin, M. B.; Tirosh, J. 1 2004 Corrigendum to “Modeling nonlinear dissipative response of biological tissues”. Zbl 1075.74590Rubin, M. B.; Bodner, S. R. 1 2004 A class of exact nonlinear traveling wave solutions for shallow water with a non-stationary bottom surface. Zbl 1472.76017Kogelbauer, F.; Rubin, M. B. 1 2019 Significant differences in the mechanical modeling of confined growth predicted by the Lagrangian and Eulerian formulations. Zbl 1423.74193Safadi, M. M.; Rubin, M. B. 3 2018 Invariants for rari- and multi-constant theories with generalization to anisotropy in biological tissues. Zbl 1415.74007Rubin, M. B.; Ehret, A. E. 1 2018 A new analysis of stresses in arteries based on an Eulerian formulation of growth in tissues. Zbl 1423.74631Safadi, M. M.; Rubin, M. B. 6 2017 A new approach to modeling early cardiac morphogenesis during c-looping. Zbl 1423.74630Safadi, M. M.; Rubin, M. B. 2 2017 Advantages of formulating an evolution equation directly for elastic distortional deformation in finite deformation plasticity. Zbl 1388.74017Rubin, M. B.; Cardiff, Philip 1 2017 A rate-independent crystal plasticity model with a smooth elastic-plastic transition and no slip indeterminacy. Zbl 1406.74114Forest, Samuel; Rubin, M. B. 6 2016 Unphysical properties of the rotation tensor estimated by least squares optimization with specific application to biomechanics. Zbl 1423.74629Rubin, M. B.; Solav, D. 4 2016 Seven invariants are needed to characterize general orthotropic elastic materials: A comment on “Nonlinear orthotropic elasticity: only six invariants are independent”. Zbl 1334.74016Rubin, M. B. 2 2016 A thermomechanical anisotropic model for shock loading of elastic-plastic and elastic-viscoplastic materials with application to jointed rock. Zbl 1398.74073Rubin, M. B.; Vorobiev, O.; Vitali, E. 2 2016 A unified theoretical structure for modeling interstitial growth and muscle activation in soft tissues. Zbl 1423.74628Rubin, M. B.; Safadi, M. M.; Jabareen, M. 10 2015 Erratum to: “Modeling a smooth elastic-inelastic transition with a strongly objective numerical integrator needing no iteration”. Zbl 1316.74070Hollenstein, M.; Jabareen, M.; Rubin, M. B. 5 2015 Reciprocal theorem for a linear elastic Cosserat interphase with general geometry. Zbl 1327.74014Rubin, M. B. 2 2015 A six node plane strain triangular Cosserat point element (CPE) for nonlinear elasticity. Zbl 1423.74892Jabareen, M.; Rubin, M. B. 1 2014 Soft tissue artifact compensation using triangular Cosserat point elements (TCPEs). Zbl 1423.74963Solav, Dana; Rubin, M. B.; Wolf, Alon 1 2014 Modeling a smooth elastic-inelastic transition with a strongly objective numerical integrator needing no iteration. Zbl 1282.74105Hollenstein, M.; Jabareen, M.; Rubin, M. B. 14 2013 A ten node tetrahedral Cosserat point element (CPE) for nonlinear isotropic elastic materials. Zbl 1398.74340Jabareen, M.; Hanukah, E.; Rubin, M. B. 4 2013 A Bernoulli equation for potential flow of incompressible materials with an inherent material characteristic length. Zbl 1371.76017Rubin, M. B. 2 2013 Removal of unphysical arbitrariness in constitutive equations for elastically anisotropic nonlinear elastic-viscoplastic solids. Zbl 1423.74165Rubin, M. B. 13 2012 Cosserat point element \((CPE)\) for finite deformation of orthotropic elastic materials. Zbl 1398.74341Jabareen, M.; Sharipova, L.; Rubin, M. B. 5 2012 An anisotropic discrete fibre model based on a generalised strain invariant with application to soft biological tissues. Zbl 1423.74611Flynn, Cormac; Rubin, M. B. 3 2012 Termination of the starting problem of dynamic expansion of a spherical cavity in an infinite elastic-perfectly-plastic medium. Zbl 1283.74025Rapoport, L.; Katzir, Z.; Rubin, M. B. 3 2011 A model for the anisotropic response of fibrous soft tissues using six discrete fibre bundles. Zbl 1242.92008Flynn, Cormac; Rubin, M. B.; Nielsen, Poul 3 2011 A simple formula for dynamic spherical cavity expansion in a compressible elastic perfectly plastic material with large deformations. Zbl 1269.74033Katzir, Z.; Rubin, M. B. 3 2011 A large deformation breakage model of granular materials including porosity and inelastic distortional deformation rate. Zbl 1423.74846Rubin, M. B.; Einav, Itai 3 2011 Further developments of physically based invariants for nonlinear elastic orthotropic solids. Zbl 1381.74028Rubin, M. B.; Jabareen, M. 3 2011 Arithmetic and geometric solutions for average rigid-body rotation. Zbl 1359.70070Sharf, Inna; Wolf, Alon; Rubin, M. B. 5 2010 Failures of the three-dimensional patch test for large elastic deformations. Zbl 1323.74087Jabareen, M.; Rubin, M. B. 1 2010 Rheological models for large deformations of elastic-viscoplastic materials. Zbl 1231.74113Rubin, M. B.; Ichihara, M. 1 2010 A Cosserat point element (CPE) for the numerical solution of problems in finite elasticity. Zbl 1396.74100Jabareen, Mahmood; Rubin, Miles B. 1 2010 On evolution equations for elastic deformation and the notion of hyperelasticity. Zbl 1213.74067Rubin, M. B. 2 2009 Physically based invariants for nonlinear elastic orthotropic solids. Zbl 1127.74006Rubin, M. B.; Jabareen, M. 11 2008 Modified torsion coefficients for a 3-D brick Cosserat point element. Zbl 1162.74467Jabareen, M.; Rubin, M. B. 2 2008 A Cosserat point element (CPE) for nearly planar problems (including thickness changes) in nonlinear elasticity. Zbl 1213.74289Jabareen, M.; Rubin, M. B. 1 2008 Hyperelasticity and physical shear buckling of a block predicted by the Cosserat point element compared with inelasticity and hourglassing predicted by other element formulations. Zbl 1167.74044Jabareen, M.; Rubin, M. B. 15 2007 An improved 3-D brick Cosserat point element for irregular shaped elements. Zbl 1168.74048Jabareen, M.; Rubin, M. B. 12 2007 Influence of membrane stresses on postbuckling of rectangular plates using a nonlinear elastic 3-D cosserat brick element. Zbl 1178.74105Klepach, D.; Rubin, M. B. 4 2007 A simplified implicit Newmark integration scheme for finite rotations. Zbl 1190.74027Rubin, M. B. 3 2007 Postbuckling response and ultimate strength of a compressed rectangular elastic plate using a 3-D Cosserat brick element. Zbl 1110.74023Klepach, D.; Rubin, M. B. 1 2007 Heat conduction between confocal elliptical surfaces using the theory of a Cosserat shell. Zbl 1119.74476Rubin, M. B. 1 2006 Response of a nonlinear elastic general Cosserat brick element in simulations typically exhibiting locking and hourglassing. Zbl 1138.74394Loehnert, S.; Boerner, E. F. I.; Rubin, M. B.; Wriggers, P. 23 2005 Numerical solution of axisymmetric nonlinear elastic problems including shells using the theory of a Cosserat point. Zbl 1100.74057Rubin, M. B. 9 2005 Numerical solution procedures for nonlinear elastic curved rods using the theory of a Cosserat point. Zbl 1104.74036Rubin, M. B. 1 2005 A Cosserat shell model for interphases in elastic media. Zbl 1112.74422Rubin, M. B.; Benveniste, Y. 22 2004 Simulations of underground structures subjected to dynamic loading using the distinct element method. Zbl 1062.74663Morris, J. P.; Rubin, M. B.; Blair, S. C.; Glenn, L. A.; Heuze, F. E. 9 2004 Restrictions on linear constitutive equations for a rigid heat conducting Cosserat shell. Zbl 1179.74076Rubin, M. B. 6 2004 Post-buckling behavior of nonlinear elastic beams and three-dimensional frames using the theory of a Cosserat point. Zbl 1066.74028Nadler, B.; Rubin, M. B. 2 2004 Analysis of blank thickening in deep drawing processes using the theory of a Cosserat generalized membrane. Zbl 1045.74502Peled, A.; Rubin, M. B.; Tirosh, J. 1 2004 Corrigendum to “Modeling nonlinear dissipative response of biological tissues”. Zbl 1075.74590Rubin, M. B.; Bodner, S. R. 1 2004 A new 3-D finite element for nonlinear elasticity using the theory of a Cosserat point. Zbl 1054.74057Nadler, B.; Rubin, M. B. 38 2003 Determination of hourglass coefficients in the theory of a Cosserat point for nonlinear elastic beams. Zbl 1060.74565Nadler, B.; Rubin, M. B. 7 2003 On the quest for the best Timoshenko shear coefficient. Zbl 1110.74658Rubin, M. B. 3 2003 A thermodynamically consistent large deformation elastic-viscoplastic model with directional tensile failure. Zbl 1054.74536Rubin, M. B.; Lomov, I. 1 2003 Thermomechanical constitutive equations for the dynamic response of ceramics. Zbl 1054.74504Bar-on, E.; Rubin, M. B.; Yankelevsky, D. Z. 1 2003 A three-dimensional nonlinear model for dissipative response of soft tissue. Zbl 1042.74036Rubin, M. B.; Bodner, S. R. 14 2002 Physical reasons for abandoning plastic deformation measures in plasticity and viscoplasticity theory. Zbl 1060.74015Rubin, M. B. 14 2001 Numerical solution procedures for nonlinear elastic rods using the theory of a Cosserat point. Zbl 1040.74030Rubin, M. B. 13 2001 On the theory of a Cosserat point and shear locking in thin beams. Zbl 1102.74323Rubin, M. B. 3 2001 Cosserat theories: Shells, rods and points. Zbl 0984.74003Rubin, M. B. 89 2000 Mechanical and numerical modeling of a porous elastic-viscoplastic material with tensile failure. Zbl 0990.74015Rubin, M. B.; Vorobiev, O. Yu.; Glenn, L. A. 6 2000 An intrinsic formulation for nonlinear elastic rods. Zbl 0942.74589Rubin, M. B. 1 1997 Calculation of hyperelastic response of finitely deformed elastic-viscoplastic materials. Zbl 0842.73080Rubin, M. B.; Attia, A. 14 1996 On the treatment of elastic deformation in finite elastic-viscoplastic theory. Zbl 1002.74509Rubin, M. B. 11 1996 Restrictions on nonlinear constitutive equations for elastic rods. Zbl 0881.73055Rubin, M. B. 6 1996 Modeling added compressibility of porosity and the thermomechanical response of wet porous rock with application to Mt. Helen Tuff. Zbl 0919.73278Rubin, M. B.; Elata, D.; Attia, A. V. 5 1996 Continuum model of dispersion caused by an inherent material characteristic length. Zbl 1244.74070Rubin, M. B.; Rosenau, P.; Gottlieb, O. 23 1995 Restrictions on nonlinear constitutive equations for elastic shells. Zbl 0840.73040Naghdi, P. M.; Rubin, M. B. 11 1995 Numerical solution of two- and three-dimensional thermomechanical problems using the theory of a Cosserat point. Zbl 0832.73064Rubin, M. B. 5 1995 An incremental elastic-viscoplastic theory indicating a reduced modulus for non-proportional buckling. Zbl 0886.73015Rubin, M. B.; Bodner, S. R. 3 1995 Plasticity theory formulated in terms of physically based microstructural variables. I: Theory. Zbl 0943.74507Rubin, M. B. 22 1994 Isotropy of strain energy functions which depend only on a finite number of directional strain measures. Zbl 0814.73002Elata, D.; Rubin, M. B. 5 1994 Plasticity theory formulated in terms of physically based microstructural variables. II: Examples. Zbl 0943.74508Rubin, M. B. 4 1994 On the relationship between phenomenological models for elastic- viscoplastic metals and polymeric liquids. Zbl 0813.76005Rubin, M. B.; Yarin, A. L. 2 1993 Hyperbolic heat conduction and the second law. Zbl 0764.73006Rubin, M. B. 14 1992 Universal relations for elastically isotropic elastic-plastic materials. Zbl 0754.73041Rubin, M. B.; Chen, R. 1 1991 The significance of projection operators in the spectral representation of symmetric second order tensors. Zbl 0733.73002Luehr, C. P.; Rubin, M. B. 13 1990 A time integration procedure for plastic deformation in elastic- viscoplastic metals. Zbl 0683.73019Rubin, M. B. 2 1989 The significance of pure measures of distortion in nonlinear elasticity with reference to the Poynting problem. Zbl 0653.73025Rubin, M. B. 4 1988 An elastic-viscoplastic model exhibiting continuity of solid and fluid states. Zbl 0616.73006Rubin, M. B. 8 1987 An elastic-viscoplastic model for metals subjected to high compression. Zbl 0618.73048Rubin, M. B. 7 1987 On the numerical solution of nonlinear string problems using the theory of a Cosserat point. Zbl 0605.73085Rubin, M. B. 1 1987 On the numerical solution of spherically symmetric problems using the theory of a Cosserat surface. Zbl 0614.73092Rubin, M. B. 1 1987 Free vibration of a rectangular parallelepiped using the theory of a Cosserat point. Zbl 0592.73084Rubin, M. B. 11 1986 An elastic-viscoplastic model for large deformation. Zbl 0587.73051Rubin, M. B. 7 1986 Some nonlinear three-dimensional motions of an elastic string. Zbl 0585.73037Rosenau, Philip; Rubin, M. B. 3 1986 Heat conduction in plates and shells with emphasis on a conical shell. Zbl 0587.73180Rubin, M. B. 1 1986 A uniqueness theorem for thermoelastic shells with generalized boundary conditions. Zbl 0605.73008Rubin, M. B. 1 1986 On the theory of a Cosserat point and its application to the numerical solution of continuum problems. Zbl 0569.73002Rubin, M. B. 33 1985 On the numerical solution on one-dimensional continuum problems using the theory of a Cosserat point. Zbl 0569.73003Rubin, M. B. 22 1985 Constrained theories of rods. Zbl 0558.73042Naghdi, P. M.; Rubin, M. B. 16 1984 A thermoelastic-viscoplastic model with a rate-dependent yield strength. Zbl 0485.73010Rubin, M. B. 2 1982 The effect of curvature at the detachment point of a fluid sheet from a rigid boundary. Zbl 0488.76013Naghdi, P. M.; Rubin, M. B. 1 1982 On inviscid flow in a waterfall. Zbl 0474.76017Naghdi, P. M.; Rubin, M. B. 7 1981 On the transition to planing of a boat. Zbl 0455.76010Naghdi, P. M.; Rubin, M. B. 6 1981 all cited Publications top 5 cited Publications all top 5 Cited by 470 Authors 63 Rubin, Miles B. 19 Jabareen, Mahmood 15 Bîrsan, Mircea 11 Eremeyev, Victor A. 11 Saccomandi, Giuseppe 10 O’Reilly, Oliver Mary 9 Altenbach, Holm 9 Wriggers, Peter 8 Neff, Patrizio 5 Askes, Harm 5 Jordan, Pedro M. 5 Sławianowski, Jan Jerzy 4 Benveniste, Yakov 4 Gołubowska, Barbara 4 Hudobivnik, Blaž 4 Korobeĭnikov, Sergeĭ Nikolaevich 4 Li, Jibin 4 Löhnert, Stefan 4 Naghdabadi, Reza 4 Pietraszkiewicz, Wojciech 4 Safadi, M. M. 4 Sansour, Carlo 4 Song, Jie 3 Aldakheel, Fadi 3 Boerner, Eiris F. I. 3 Chen, Guanrong 3 Destrade, Michel 3 Dökmeci, M. Cengiz 3 Einav, Itai 3 Forest, Samuel 3 Ghayesh, Mergen H. 3 Gholipour, Alireza 3 Hesch, Christian 3 Iesan, Dorin 3 Ivanova, Elena A. 3 Keiffer, Richard S. 3 Kovalchuk, Vasyl 3 Naghdi, Paul Mansour 3 Shariff, M. H. B. M. 3 Srinivasa, Arun R. 3 Tresierras, Timothy N. 3 Xiao, Heng 3 Zander, Anthony C. 2 Bennett, Terry 2 Berryman, James G. 2 Betsch, Peter 2 Bruhns, Otto Timme 2 Christov, Ivan C. 2 Cohen, Harley 2 Curran, John H. 2 deBotton, Gal 2 Dorfmann, Luis 2 Ehret, Alexander E. 2 Eugster, Simon Raphael 2 Faulkner, M. Gary 2 Flynn, Cormac 2 Ghiba, Ionel-Dumitrel 2 Giannakopoulos, Antonios E. 2 Gitman, Inna M. 2 Hanukah, Eli 2 Hure, Jeremy 2 Hütter, Markus 2 Karšaj, Igor 2 Klepach, D. 2 Kollmann, Franz Gustav 2 Latorre, Marcos 2 Lee, Eun Ho 2 Levitas, Valery I. 2 Liu, Mario 2 Lu, Jia 2 Mackerle, Jaroslav 2 Martens, Agnieszka 2 Mazón Ruiz, José M. 2 Metrikine, Andrei V. 2 Meyers, Albert Thomas Marie 2 Mogilevskaya, Sofia G. 2 Montáns, Francisco-Javier 2 Morris, Joseph P. 2 Mtanes, Eli 2 Onishi, Yuki 2 Papadopoulos, Panayiotis 2 Peshkov, Ilya M. 2 Pimenta, Paulo M. 2 Psaltis, Peter J. 2 Ramezani, Shojaa 2 Reddy, B. Dayanand 2 Riahi, Azadeh 2 Rosenau, Philip S. 2 Scherer, Jean-Michel 2 Schreyer, Howard L. 2 Sciarra, Giulio 2 Shmuel, Gal 2 Solav, Dana 2 Soler, Juan S. 2 Sorić, Jurica 2 Steigmann, David J. 2 Tanguy, Benoit 2 Tervoort, Theo A. 2 Tiago, Carlos M. 2 Vorob’ev, Oleg Yu. ...and 370 more Authors all top 5 Cited in 72 Serials 44 International Journal of Engineering Science 38 Journal of Elasticity 32 Computational Mechanics 25 Acta Mechanica 21 Mathematics and Mechanics of Solids 18 Computer Methods in Applied Mechanics and Engineering 18 European Journal of Mechanics. A. Solids 16 Journal of the Mechanics and Physics of Solids 15 International Journal of Solids and Structures 9 Wave Motion 9 International Journal for Numerical Methods in Engineering 8 Continuum Mechanics and Thermodynamics 6 Engineering Computations 5 Archive of Applied Mechanics 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 International Journal of Computational Methods 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Applied Mathematical Modelling 3 Journal of Fluid Mechanics 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 International Journal of Fracture 2 International Journal of Plasticity 2 Mathematical Methods in the Applied Sciences 2 Journal of Computational and Applied Mathematics 2 Quarterly of Applied Mathematics 2 Applied Mathematics and Mechanics. (English Edition) 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Journal of Non-Newtonian Fluid Mechanics 2 Communications in Numerical Methods in Engineering 2 Communications in Nonlinear Science and Numerical Simulation 2 Archives of Computational Methods in Engineering 2 International Journal for Numerical Methods in Biomedical Engineering 1 International Journal of Modern Physics B 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Physica A 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Journal of Geometry and Physics 1 Journal of Theoretical and Applied Mechanics (Sofia) 1 Journal of Differential Equations 1 Meccanica 1 Mechanics Research Communications 1 Studies in Applied Mathematics 1 Physica D 1 Asymptotic Analysis 1 SIAM Journal on Applied Mathematics 1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 1 Journal of Mathematical Imaging and Vision 1 International Journal of Computer Vision 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Mathematical Problems in Engineering 1 Journal of Vibration and Control 1 Nonlinear Dynamics 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. B. Fluids 1 Lobachevskii Journal of Mathematics 1 Physical Review E. Third Series 1 Advances in Difference Equations 1 Journal of Applied Physics 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Journal of Theoretical Biology 1 Journal of Applied Analysis and Computation 1 Evolution Equations and Control Theory 1 Mathematics and Mechanics of Complex Systems 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Mathematics in Engineering all top 5 Cited in 27 Fields 318 Mechanics of deformable solids (74-XX) 34 Fluid mechanics (76-XX) 28 Partial differential equations (35-XX) 22 Numerical analysis (65-XX) 20 Biology and other natural sciences (92-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Mechanics of particles and systems (70-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 Optics, electromagnetic theory (78-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Ordinary differential equations (34-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Differential geometry (53-XX) 3 Geophysics (86-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year