## Rubin, Miles B.

Compute Distance To:
 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
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### 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.
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### 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
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### 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)

### 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 0984.74003
Rubin, M. B.
2000
A new 3-D finite element for nonlinear elasticity using the theory of a Cosserat point. Zbl 1054.74057
2003
On the theory of a Cosserat point and its application to the numerical solution of continuum problems. Zbl 0569.73002
Rubin, M. B.
1985
Response of a nonlinear elastic general Cosserat brick element in simulations typically exhibiting locking and hourglassing. Zbl 1138.74394
Loehnert, S.; Boerner, E. F. I.; Rubin, M. B.; Wriggers, P.
2005
Continuum model of dispersion caused by an inherent material characteristic length. Zbl 1244.74070
Rubin, M. B.; Rosenau, P.; Gottlieb, O.
1995
On the numerical solution on one-dimensional continuum problems using the theory of a Cosserat point. Zbl 0569.73003
Rubin, M. B.
1985
A Cosserat shell model for interphases in elastic media. Zbl 1112.74422
Rubin, M. B.; Benveniste, Y.
2004
Plasticity theory formulated in terms of physically based microstructural variables. I: Theory. Zbl 0943.74507
Rubin, M. B.
1994
Constrained theories of rods. Zbl 0558.73042
Naghdi, P. M.; Rubin, M. B.
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 1167.74044
Jabareen, M.; Rubin, M. B.
2007
Physical reasons for abandoning plastic deformation measures in plasticity and viscoplasticity theory. Zbl 1060.74015
Rubin, M. B.
2001
A three-dimensional nonlinear model for dissipative response of soft tissue. Zbl 1042.74036
Rubin, M. B.; Bodner, S. R.
2002
Hyperbolic heat conduction and the second law. Zbl 0764.73006
Rubin, M. B.
1992
Calculation of hyperelastic response of finitely deformed elastic-viscoplastic materials. Zbl 0842.73080
Rubin, M. B.; Attia, A.
1996
Modeling a smooth elastic-inelastic transition with a strongly objective numerical integrator needing no iteration. Zbl 1282.74105
Hollenstein, M.; Jabareen, M.; Rubin, M. B.
2013
Numerical solution procedures for nonlinear elastic rods using the theory of a Cosserat point. Zbl 1040.74030
Rubin, M. B.
2001
The significance of projection operators in the spectral representation of symmetric second order tensors. Zbl 0733.73002
Luehr, C. P.; Rubin, M. B.
1990
Removal of unphysical arbitrariness in constitutive equations for elastically anisotropic nonlinear elastic-viscoplastic solids. Zbl 1423.74165
Rubin, M. B.
2012
An improved 3-D brick Cosserat point element for irregular shaped elements. Zbl 1168.74048
Jabareen, M.; Rubin, M. B.
2007
Free vibration of a rectangular parallelepiped using the theory of a Cosserat point. Zbl 0592.73084
Rubin, M. B.
1986
On the treatment of elastic deformation in finite elastic-viscoplastic theory. Zbl 1002.74509
Rubin, M. B.
1996
Restrictions on nonlinear constitutive equations for elastic shells. Zbl 0840.73040
Naghdi, P. M.; Rubin, M. B.
1995
Physically based invariants for nonlinear elastic orthotropic solids. Zbl 1127.74006
Rubin, M. B.; Jabareen, M.
2008
A unified theoretical structure for modeling interstitial growth and muscle activation in soft tissues. Zbl 1423.74628
Rubin, M. B.; Safadi, M. M.; Jabareen, M.
2015
Numerical solution of axisymmetric nonlinear elastic problems including shells using the theory of a Cosserat point. Zbl 1100.74057
Rubin, M. B.
2005
Simulations of underground structures subjected to dynamic loading using the distinct element method. Zbl 1062.74663
Morris, J. P.; Rubin, M. B.; Blair, S. C.; Glenn, L. A.; Heuze, F. E.
2004
An elastic-viscoplastic model exhibiting continuity of solid and fluid states. Zbl 0616.73006
Rubin, M. B.
1987
An elastic-viscoplastic model for large deformation. Zbl 0587.73051
Rubin, M. B.
1986
An elastic-viscoplastic model for metals subjected to high compression. Zbl 0618.73048
Rubin, M. B.
1987
On inviscid flow in a waterfall. Zbl 0474.76017
Naghdi, P. M.; Rubin, M. B.
1981
Determination of hourglass coefficients in the theory of a Cosserat point for nonlinear elastic beams. Zbl 1060.74565
2003
Restrictions on linear constitutive equations for a rigid heat conducting Cosserat shell. Zbl 1179.74076
Rubin, M. B.
2004
Restrictions on nonlinear constitutive equations for elastic rods. Zbl 0881.73055
Rubin, M. B.
1996
A new analysis of stresses in arteries based on an Eulerian formulation of growth in tissues. Zbl 1423.74631
Safadi, M. M.; Rubin, M. B.
2017
On the transition to planing of a boat. Zbl 0455.76010
Naghdi, P. M.; Rubin, M. B.
1981
A rate-independent crystal plasticity model with a smooth elastic-plastic transition and no slip indeterminacy. Zbl 1406.74114
Forest, Samuel; Rubin, M. B.
2016
Mechanical and numerical modeling of a porous elastic-viscoplastic material with tensile failure. Zbl 0990.74015
Rubin, M. B.; Vorobiev, O. Yu.; Glenn, L. A.
2000
Erratum to: “Modeling a smooth elastic-inelastic transition with a strongly objective numerical integrator needing no iteration”. Zbl 1316.74070
Hollenstein, M.; Jabareen, M.; Rubin, M. B.
2015
Arithmetic and geometric solutions for average rigid-body rotation. Zbl 1359.70070
Sharf, Inna; Wolf, Alon; Rubin, M. B.
2010
Cosserat point element $$(CPE)$$ for finite deformation of orthotropic elastic materials. Zbl 1398.74341
Jabareen, M.; Sharipova, L.; Rubin, M. B.
2012
Numerical solution of two- and three-dimensional thermomechanical problems using the theory of a Cosserat point. Zbl 0832.73064
Rubin, M. B.
1995
Modeling added compressibility of porosity and the thermomechanical response of wet porous rock with application to Mt. Helen Tuff. Zbl 0919.73278
Rubin, M. B.; Elata, D.; Attia, A. V.
1996
Isotropy of strain energy functions which depend only on a finite number of directional strain measures. Zbl 0814.73002
Elata, D.; Rubin, M. B.
1994
Unphysical properties of the rotation tensor estimated by least squares optimization with specific application to biomechanics. Zbl 1423.74629
Rubin, M. B.; Solav, D.
2016
A ten node tetrahedral Cosserat point element (CPE) for nonlinear isotropic elastic materials. Zbl 1398.74340
Jabareen, M.; Hanukah, E.; Rubin, M. B.
2013
Plasticity theory formulated in terms of physically based microstructural variables. II: Examples. Zbl 0943.74508
Rubin, M. B.
1994
The significance of pure measures of distortion in nonlinear elasticity with reference to the Poynting problem. Zbl 0653.73025
Rubin, M. B.
1988
Influence of membrane stresses on postbuckling of rectangular plates using a nonlinear elastic 3-D cosserat brick element. Zbl 1178.74105
Klepach, D.; Rubin, M. B.
2007
On the theory of a Cosserat point and shear locking in thin beams. Zbl 1102.74323
Rubin, M. B.
2001
Some nonlinear three-dimensional motions of an elastic string. Zbl 0585.73037
Rosenau, Philip; Rubin, M. B.
1986
An incremental elastic-viscoplastic theory indicating a reduced modulus for non-proportional buckling. Zbl 0886.73015
Rubin, M. B.; Bodner, S. R.
1995
Termination of the starting problem of dynamic expansion of a spherical cavity in an infinite elastic-perfectly-plastic medium. Zbl 1283.74025
Rapoport, L.; Katzir, Z.; Rubin, M. B.
2011
Significant differences in the mechanical modeling of confined growth predicted by the Lagrangian and Eulerian formulations. Zbl 1423.74193
Safadi, M. M.; Rubin, M. B.
2018
A model for the anisotropic response of fibrous soft tissues using six discrete fibre bundles. Zbl 1242.92008
Flynn, Cormac; Rubin, M. B.; Nielsen, Poul
2011
On the quest for the best Timoshenko shear coefficient. Zbl 1110.74658
Rubin, M. B.
2003
A simple formula for dynamic spherical cavity expansion in a compressible elastic perfectly plastic material with large deformations. Zbl 1269.74033
Katzir, Z.; Rubin, M. B.
2011
A large deformation breakage model of granular materials including porosity and inelastic distortional deformation rate. Zbl 1423.74846
Rubin, M. B.; Einav, Itai
2011
An anisotropic discrete fibre model based on a generalised strain invariant with application to soft biological tissues. Zbl 1423.74611
Flynn, Cormac; Rubin, M. B.
2012
A simplified implicit Newmark integration scheme for finite rotations. Zbl 1190.74027
Rubin, M. B.
2007
Further developments of physically based invariants for nonlinear elastic orthotropic solids. Zbl 1381.74028
Rubin, M. B.; Jabareen, M.
2011
Seven invariants are needed to characterize general orthotropic elastic materials: A comment on “Nonlinear orthotropic elasticity: only six invariants are independent”. Zbl 1334.74016
Rubin, M. B.
2016
A Bernoulli equation for potential flow of incompressible materials with an inherent material characteristic length. Zbl 1371.76017
Rubin, M. B.
2013
Post-buckling behavior of nonlinear elastic beams and three-dimensional frames using the theory of a Cosserat point. Zbl 1066.74028
2004
A thermoelastic-viscoplastic model with a rate-dependent yield strength. Zbl 0485.73010
Rubin, M. B.
1982
A new approach to modeling early cardiac morphogenesis during c-looping. Zbl 1423.74630
Safadi, M. M.; Rubin, M. B.
2017
Reciprocal theorem for a linear elastic Cosserat interphase with general geometry. Zbl 1327.74014
Rubin, M. B.
2015
On evolution equations for elastic deformation and the notion of hyperelasticity. Zbl 1213.74067
Rubin, M. B.
2009
A thermomechanical anisotropic model for shock loading of elastic-plastic and elastic-viscoplastic materials with application to jointed rock. Zbl 1398.74073
Rubin, M. B.; Vorobiev, O.; Vitali, E.
2016
On the relationship between phenomenological models for elastic- viscoplastic metals and polymeric liquids. Zbl 0813.76005
Rubin, M. B.; Yarin, A. L.
1993
A time integration procedure for plastic deformation in elastic- viscoplastic metals. Zbl 0683.73019
Rubin, M. B.
1989
Modified torsion coefficients for a 3-D brick Cosserat point element. Zbl 1162.74467
Jabareen, M.; Rubin, M. B.
2008
Heat conduction in plates and shells with emphasis on a conical shell. Zbl 0587.73180
Rubin, M. B.
1986
Invariants for rari- and multi-constant theories with generalization to anisotropy in biological tissues. Zbl 1415.74007
Rubin, M. B.; Ehret, A. E.
2018
A class of exact nonlinear traveling wave solutions for shallow water with a non-stationary bottom surface. Zbl 1472.76017
Kogelbauer, F.; Rubin, M. B.
2019
Numerical solution procedures for nonlinear elastic curved rods using the theory of a Cosserat point. Zbl 1104.74036
Rubin, M. B.
2005
Failures of the three-dimensional patch test for large elastic deformations. Zbl 1323.74087
Jabareen, M.; Rubin, M. B.
2010
Rheological models for large deformations of elastic-viscoplastic materials. Zbl 1231.74113
Rubin, M. B.; Ichihara, M.
2010
Postbuckling response and ultimate strength of a compressed rectangular elastic plate using a 3-D Cosserat brick element. Zbl 1110.74023
Klepach, D.; Rubin, M. B.
2007
A Cosserat point element (CPE) for the numerical solution of problems in finite elasticity. Zbl 1396.74100
Jabareen, Mahmood; Rubin, Miles B.
2010
Heat conduction between confocal elliptical surfaces using the theory of a Cosserat shell. Zbl 1119.74476
Rubin, M. B.
2006
The effect of curvature at the detachment point of a fluid sheet from a rigid boundary. Zbl 0488.76013
Naghdi, P. M.; Rubin, M. B.
1982
A six node plane strain triangular Cosserat point element (CPE) for nonlinear elasticity. Zbl 1423.74892
Jabareen, M.; Rubin, M. B.
2014
Soft tissue artifact compensation using triangular Cosserat point elements (TCPEs). Zbl 1423.74963
Solav, Dana; Rubin, M. B.; Wolf, Alon
2014
Universal relations for elastically isotropic elastic-plastic materials. Zbl 0754.73041
Rubin, M. B.; Chen, R.
1991
A uniqueness theorem for thermoelastic shells with generalized boundary conditions. Zbl 0605.73008
Rubin, M. B.
1986
On the numerical solution of nonlinear string problems using the theory of a Cosserat point. Zbl 0605.73085
Rubin, M. B.
1987
On the numerical solution of spherically symmetric problems using the theory of a Cosserat surface. Zbl 0614.73092
Rubin, M. B.
1987
A Cosserat point element (CPE) for nearly planar problems (including thickness changes) in nonlinear elasticity. Zbl 1213.74289
Jabareen, M.; Rubin, M. B.
2008
Advantages of formulating an evolution equation directly for elastic distortional deformation in finite deformation plasticity. Zbl 1388.74017
Rubin, M. B.; Cardiff, Philip
2017
An intrinsic formulation for nonlinear elastic rods. Zbl 0942.74589
Rubin, M. B.
1997
A thermodynamically consistent large deformation elastic-viscoplastic model with directional tensile failure. Zbl 1054.74536
Rubin, M. B.; Lomov, I.
2003
Thermomechanical constitutive equations for the dynamic response of ceramics. Zbl 1054.74504
Bar-on, E.; Rubin, M. B.; Yankelevsky, D. Z.
2003
Analysis of blank thickening in deep drawing processes using the theory of a Cosserat generalized membrane. Zbl 1045.74502
Peled, A.; Rubin, M. B.; Tirosh, J.
2004
Corrigendum to “Modeling nonlinear dissipative response of biological tissues”. Zbl 1075.74590
Rubin, M. B.; Bodner, S. R.
2004
A class of exact nonlinear traveling wave solutions for shallow water with a non-stationary bottom surface. Zbl 1472.76017
Kogelbauer, F.; Rubin, M. B.
2019
Significant differences in the mechanical modeling of confined growth predicted by the Lagrangian and Eulerian formulations. Zbl 1423.74193
Safadi, M. M.; Rubin, M. B.
2018
Invariants for rari- and multi-constant theories with generalization to anisotropy in biological tissues. Zbl 1415.74007
Rubin, M. B.; Ehret, A. E.
2018
A new analysis of stresses in arteries based on an Eulerian formulation of growth in tissues. Zbl 1423.74631
Safadi, M. M.; Rubin, M. B.
2017
A new approach to modeling early cardiac morphogenesis during c-looping. Zbl 1423.74630
Safadi, M. M.; Rubin, M. B.
2017
Advantages of formulating an evolution equation directly for elastic distortional deformation in finite deformation plasticity. Zbl 1388.74017
Rubin, M. B.; Cardiff, Philip
2017
A rate-independent crystal plasticity model with a smooth elastic-plastic transition and no slip indeterminacy. Zbl 1406.74114
Forest, Samuel; Rubin, M. B.
2016
Unphysical properties of the rotation tensor estimated by least squares optimization with specific application to biomechanics. Zbl 1423.74629
Rubin, M. B.; Solav, D.
2016
Seven invariants are needed to characterize general orthotropic elastic materials: A comment on “Nonlinear orthotropic elasticity: only six invariants are independent”. Zbl 1334.74016
Rubin, M. B.
2016
A thermomechanical anisotropic model for shock loading of elastic-plastic and elastic-viscoplastic materials with application to jointed rock. Zbl 1398.74073
Rubin, M. B.; Vorobiev, O.; Vitali, E.
2016
A unified theoretical structure for modeling interstitial growth and muscle activation in soft tissues. Zbl 1423.74628
Rubin, M. B.; Safadi, M. M.; Jabareen, M.
2015
Erratum to: “Modeling a smooth elastic-inelastic transition with a strongly objective numerical integrator needing no iteration”. Zbl 1316.74070
Hollenstein, M.; Jabareen, M.; Rubin, M. B.
2015
Reciprocal theorem for a linear elastic Cosserat interphase with general geometry. Zbl 1327.74014
Rubin, M. B.
2015
A six node plane strain triangular Cosserat point element (CPE) for nonlinear elasticity. Zbl 1423.74892
Jabareen, M.; Rubin, M. B.
2014
Soft tissue artifact compensation using triangular Cosserat point elements (TCPEs). Zbl 1423.74963
Solav, Dana; Rubin, M. B.; Wolf, Alon
2014
Modeling a smooth elastic-inelastic transition with a strongly objective numerical integrator needing no iteration. Zbl 1282.74105
Hollenstein, M.; Jabareen, M.; Rubin, M. B.
2013
A ten node tetrahedral Cosserat point element (CPE) for nonlinear isotropic elastic materials. Zbl 1398.74340
Jabareen, M.; Hanukah, E.; Rubin, M. B.
2013
A Bernoulli equation for potential flow of incompressible materials with an inherent material characteristic length. Zbl 1371.76017
Rubin, M. B.
2013
Removal of unphysical arbitrariness in constitutive equations for elastically anisotropic nonlinear elastic-viscoplastic solids. Zbl 1423.74165
Rubin, M. B.
2012
Cosserat point element $$(CPE)$$ for finite deformation of orthotropic elastic materials. Zbl 1398.74341
Jabareen, M.; Sharipova, L.; Rubin, M. B.
2012
An anisotropic discrete fibre model based on a generalised strain invariant with application to soft biological tissues. Zbl 1423.74611
Flynn, Cormac; Rubin, M. B.
2012
Termination of the starting problem of dynamic expansion of a spherical cavity in an infinite elastic-perfectly-plastic medium. Zbl 1283.74025
Rapoport, L.; Katzir, Z.; Rubin, M. B.
2011
A model for the anisotropic response of fibrous soft tissues using six discrete fibre bundles. Zbl 1242.92008
Flynn, Cormac; Rubin, M. B.; Nielsen, Poul
2011
A simple formula for dynamic spherical cavity expansion in a compressible elastic perfectly plastic material with large deformations. Zbl 1269.74033
Katzir, Z.; Rubin, M. B.
2011
A large deformation breakage model of granular materials including porosity and inelastic distortional deformation rate. Zbl 1423.74846
Rubin, M. B.; Einav, Itai
2011
Further developments of physically based invariants for nonlinear elastic orthotropic solids. Zbl 1381.74028
Rubin, M. B.; Jabareen, M.
2011
Arithmetic and geometric solutions for average rigid-body rotation. Zbl 1359.70070
Sharf, Inna; Wolf, Alon; Rubin, M. B.
2010
Failures of the three-dimensional patch test for large elastic deformations. Zbl 1323.74087
Jabareen, M.; Rubin, M. B.
2010
Rheological models for large deformations of elastic-viscoplastic materials. Zbl 1231.74113
Rubin, M. B.; Ichihara, M.
2010
A Cosserat point element (CPE) for the numerical solution of problems in finite elasticity. Zbl 1396.74100
Jabareen, Mahmood; Rubin, Miles B.
2010
On evolution equations for elastic deformation and the notion of hyperelasticity. Zbl 1213.74067
Rubin, M. B.
2009
Physically based invariants for nonlinear elastic orthotropic solids. Zbl 1127.74006
Rubin, M. B.; Jabareen, M.
2008
Modified torsion coefficients for a 3-D brick Cosserat point element. Zbl 1162.74467
Jabareen, M.; Rubin, M. B.
2008
A Cosserat point element (CPE) for nearly planar problems (including thickness changes) in nonlinear elasticity. Zbl 1213.74289
Jabareen, M.; Rubin, M. B.
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 1167.74044
Jabareen, M.; Rubin, M. B.
2007
An improved 3-D brick Cosserat point element for irregular shaped elements. Zbl 1168.74048
Jabareen, M.; Rubin, M. B.
2007
Influence of membrane stresses on postbuckling of rectangular plates using a nonlinear elastic 3-D cosserat brick element. Zbl 1178.74105
Klepach, D.; Rubin, M. B.
2007
A simplified implicit Newmark integration scheme for finite rotations. Zbl 1190.74027
Rubin, M. B.
2007
Postbuckling response and ultimate strength of a compressed rectangular elastic plate using a 3-D Cosserat brick element. Zbl 1110.74023
Klepach, D.; Rubin, M. B.
2007
Heat conduction between confocal elliptical surfaces using the theory of a Cosserat shell. Zbl 1119.74476
Rubin, M. B.
2006
Response of a nonlinear elastic general Cosserat brick element in simulations typically exhibiting locking and hourglassing. Zbl 1138.74394
Loehnert, S.; Boerner, E. F. I.; Rubin, M. B.; Wriggers, P.
2005
Numerical solution of axisymmetric nonlinear elastic problems including shells using the theory of a Cosserat point. Zbl 1100.74057
Rubin, M. B.
2005
Numerical solution procedures for nonlinear elastic curved rods using the theory of a Cosserat point. Zbl 1104.74036
Rubin, M. B.
2005
A Cosserat shell model for interphases in elastic media. Zbl 1112.74422
Rubin, M. B.; Benveniste, Y.
2004
Simulations of underground structures subjected to dynamic loading using the distinct element method. Zbl 1062.74663
Morris, J. P.; Rubin, M. B.; Blair, S. C.; Glenn, L. A.; Heuze, F. E.
2004
Restrictions on linear constitutive equations for a rigid heat conducting Cosserat shell. Zbl 1179.74076
Rubin, M. B.
2004
Post-buckling behavior of nonlinear elastic beams and three-dimensional frames using the theory of a Cosserat point. Zbl 1066.74028
2004
Analysis of blank thickening in deep drawing processes using the theory of a Cosserat generalized membrane. Zbl 1045.74502
Peled, A.; Rubin, M. B.; Tirosh, J.
2004
Corrigendum to “Modeling nonlinear dissipative response of biological tissues”. Zbl 1075.74590
Rubin, M. B.; Bodner, S. R.
2004
A new 3-D finite element for nonlinear elasticity using the theory of a Cosserat point. Zbl 1054.74057
2003
Determination of hourglass coefficients in the theory of a Cosserat point for nonlinear elastic beams. Zbl 1060.74565
2003
On the quest for the best Timoshenko shear coefficient. Zbl 1110.74658
Rubin, M. B.
2003
A thermodynamically consistent large deformation elastic-viscoplastic model with directional tensile failure. Zbl 1054.74536
Rubin, M. B.; Lomov, I.
2003
Thermomechanical constitutive equations for the dynamic response of ceramics. Zbl 1054.74504
Bar-on, E.; Rubin, M. B.; Yankelevsky, D. Z.
2003
A three-dimensional nonlinear model for dissipative response of soft tissue. Zbl 1042.74036
Rubin, M. B.; Bodner, S. R.
2002
Physical reasons for abandoning plastic deformation measures in plasticity and viscoplasticity theory. Zbl 1060.74015
Rubin, M. B.
2001
Numerical solution procedures for nonlinear elastic rods using the theory of a Cosserat point. Zbl 1040.74030
Rubin, M. B.
2001
On the theory of a Cosserat point and shear locking in thin beams. Zbl 1102.74323
Rubin, M. B.
2001
Cosserat theories: Shells, rods and points. Zbl 0984.74003
Rubin, M. B.
2000
Mechanical and numerical modeling of a porous elastic-viscoplastic material with tensile failure. Zbl 0990.74015
Rubin, M. B.; Vorobiev, O. Yu.; Glenn, L. A.
2000
An intrinsic formulation for nonlinear elastic rods. Zbl 0942.74589
Rubin, M. B.
1997
Calculation of hyperelastic response of finitely deformed elastic-viscoplastic materials. Zbl 0842.73080
Rubin, M. B.; Attia, A.
1996
On the treatment of elastic deformation in finite elastic-viscoplastic theory. Zbl 1002.74509
Rubin, M. B.
1996
Restrictions on nonlinear constitutive equations for elastic rods. Zbl 0881.73055
Rubin, M. B.
1996
Modeling added compressibility of porosity and the thermomechanical response of wet porous rock with application to Mt. Helen Tuff. Zbl 0919.73278
Rubin, M. B.; Elata, D.; Attia, A. V.
1996
Continuum model of dispersion caused by an inherent material characteristic length. Zbl 1244.74070
Rubin, M. B.; Rosenau, P.; Gottlieb, O.
1995
Restrictions on nonlinear constitutive equations for elastic shells. Zbl 0840.73040
Naghdi, P. M.; Rubin, M. B.
1995
Numerical solution of two- and three-dimensional thermomechanical problems using the theory of a Cosserat point. Zbl 0832.73064
Rubin, M. B.
1995
An incremental elastic-viscoplastic theory indicating a reduced modulus for non-proportional buckling. Zbl 0886.73015
Rubin, M. B.; Bodner, S. R.
1995
Plasticity theory formulated in terms of physically based microstructural variables. I: Theory. Zbl 0943.74507
Rubin, M. B.
1994
Isotropy of strain energy functions which depend only on a finite number of directional strain measures. Zbl 0814.73002
Elata, D.; Rubin, M. B.
1994
Plasticity theory formulated in terms of physically based microstructural variables. II: Examples. Zbl 0943.74508
Rubin, M. B.
1994
On the relationship between phenomenological models for elastic- viscoplastic metals and polymeric liquids. Zbl 0813.76005
Rubin, M. B.; Yarin, A. L.
1993
Hyperbolic heat conduction and the second law. Zbl 0764.73006
Rubin, M. B.
1992
Universal relations for elastically isotropic elastic-plastic materials. Zbl 0754.73041
Rubin, M. B.; Chen, R.
1991
The significance of projection operators in the spectral representation of symmetric second order tensors. Zbl 0733.73002
Luehr, C. P.; Rubin, M. B.
1990
A time integration procedure for plastic deformation in elastic- viscoplastic metals. Zbl 0683.73019
Rubin, M. B.
1989
The significance of pure measures of distortion in nonlinear elasticity with reference to the Poynting problem. Zbl 0653.73025
Rubin, M. B.
1988
An elastic-viscoplastic model exhibiting continuity of solid and fluid states. Zbl 0616.73006
Rubin, M. B.
1987
An elastic-viscoplastic model for metals subjected to high compression. Zbl 0618.73048
Rubin, M. B.
1987
On the numerical solution of nonlinear string problems using the theory of a Cosserat point. Zbl 0605.73085
Rubin, M. B.
1987
On the numerical solution of spherically symmetric problems using the theory of a Cosserat surface. Zbl 0614.73092
Rubin, M. B.
1987
Free vibration of a rectangular parallelepiped using the theory of a Cosserat point. Zbl 0592.73084
Rubin, M. B.
1986
An elastic-viscoplastic model for large deformation. Zbl 0587.73051
Rubin, M. B.
1986
Some nonlinear three-dimensional motions of an elastic string. Zbl 0585.73037
Rosenau, Philip; Rubin, M. B.
1986
Heat conduction in plates and shells with emphasis on a conical shell. Zbl 0587.73180
Rubin, M. B.
1986
A uniqueness theorem for thermoelastic shells with generalized boundary conditions. Zbl 0605.73008
Rubin, M. B.
1986
On the theory of a Cosserat point and its application to the numerical solution of continuum problems. Zbl 0569.73002
Rubin, M. B.
1985
On the numerical solution on one-dimensional continuum problems using the theory of a Cosserat point. Zbl 0569.73003
Rubin, M. B.
1985
Constrained theories of rods. Zbl 0558.73042
Naghdi, P. M.; Rubin, M. B.
1984
A thermoelastic-viscoplastic model with a rate-dependent yield strength. Zbl 0485.73010
Rubin, M. B.
1982
The effect of curvature at the detachment point of a fluid sheet from a rigid boundary. Zbl 0488.76013
Naghdi, P. M.; Rubin, M. B.
1982
On inviscid flow in a waterfall. Zbl 0474.76017
Naghdi, P. M.; Rubin, M. B.
1981
On the transition to planing of a boat. Zbl 0455.76010
Naghdi, P. M.; Rubin, M. B.
1981
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### 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
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### 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
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### 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)