Edit Profile (opens in new tab) Shillor, Meir Compute Distance To: Compute Author ID: shillor.meir Published as: Shillor, M.; Shillor, Meir Homepage: https://files.oakland.edu/users/shillor/web/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · IdRef Documents Indexed: 173 Publications since 1981, including 2 Books 2 Contributions as Editor Biographic References: 1 Publication Co-Authors: 119 Co-Authors with 168 Joint Publications 1,678 Co-Co-Authors all top 5 Co-Authors 6 single-authored 47 Kuttler, Kenneth L. jun. 31 Sofonea, Mircea 27 Andrews, Kevin T. 14 Shi, Peter 12 Fernández, Jose Ramon 11 Mikelić, Andro 9 Klarbring, Anders 9 Rochdi, Mohamed 8 Dumont, Yves 7 Wright, Steve 6 Anguelov, Roumen 5 Han, Weimin 5 Lubuma, Jean Mbaro-Saman 5 Spagnuolo, Anna Maria 4 Amassad, Amina 4 Cahlon, Baruch 4 Goeleven, Daniel 4 Li, Ji 4 Ochal, Anna 4 Zou, Xiulin 3 Al-Asuoad, Nofe 3 Lacey, Andrew A. 3 M’Bengue, M’Bagne F. 3 Menike, R. S. R. 3 Migórski, Stanisław 3 Nassar, Sayed A. 3 Telega, Józef Joachim 3 Xu, Xiangsheng 2 Ahn, Jeongho 2 Awbi, Bassam 2 Bajer, Czesław I. 2 Bajkowski, Jozef 2 Campo, Marco A. 2 Chau, Oanh 2 Chipman, J. C. 2 Dyniewicz, Bartłomiej 2 Fang, Weifu 2 Frémond, Michel 2 Gasiński, Leszek 2 Kruk, Serge G. 2 Paoli, Laetitia A. 2 Purcell, Jessica Shepherd 2 Schmidt, Darrell 2 Schochetman, Irwin E. 2 Szafraniec, Paweł 1 Abdellaoui, Marouane 1 Aitchison, Joyce M. 1 Al-Asuoad, Nove 1 Alaswad, Sadoof 1 Barber, G. C. 1 Bartosz, Krzysztof 1 Berven, Keith 1 Bouillet, Julio E. 1 Bucak, İhsan Ömür 1 Busenberg, Stavros N. 1 Cadivel, M. 1 Chapman, Lloyd A. C. 1 Cheng, Charles Ching-An 1 Chodkiewicz, P. 1 Clauson, Mary 1 Coffield, Daniel J. jun. 1 El Jai, Abdelhaq 1 Elliott, Charles M. 1 Epstein, Eddie 1 Fernández García, José Ramón 1 Fisackerly, Michael W. 1 Fitt, V. 1 Gariepy, Ronald F. 1 Gertsbakh, Ilya B. 1 Gilbert, Robert Pertsch 1 Guessous, Laila 1 Harrison, Albert 1 Houtz, W. 1 Howison, Samuel Dexter 1 Janiczko, Tomasz 1 Jen, T. 1 Jianu, Liliana 1 Jordan, Jo Ann 1 Kalita, Piotr 1 Kingsland, Lindsey 1 Kuttler, Kenneth L. 1 Lerguet, Zhor 1 Lindsey, William A. 1 Ly, Cheng 1 Marcinek, Pawel 1 Márquez, Viviana 1 McNiel, J. 1 Melnik, Roderick V. Nicholas 1 Munugala, Hrishikesh 1 Nachman, J. 1 Nedjar, Boumediene 1 Ockendon, John R. 1 Paoli, L. 1 Pitonyak, A. 1 Pleasant, Tyler 1 Putta, S. V. 1 Renard, Yves 1 Renon, Nicolas 1 Rodrigues, José Francisco 1 Rong, Libin ...and 19 more Co-Authors all top 5 Serials 16 Mathematical and Computer Modelling 13 Applicable Analysis 9 Journal of Mathematical Analysis and Applications 8 Electronic Journal of Differential Equations (EJDE) 6 European Journal of Applied Mathematics 6 Nonlinear Analysis. Real World Applications 5 Advances in Mathematical Sciences and Applications 5 Nonlinear Analysis. Theory, Methods & Applications 4 IMA Journal of Applied Mathematics 4 International Journal of Engineering Science 4 Applied Mathematics and Optimization 4 Journal of Computational and Applied Mathematics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Quarterly of Applied Mathematics 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 SIAM Journal on Mathematical Analysis 3 Biomath 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 International Journal of Solids and Structures 2 Journal of Engineering Mathematics 2 Mathematical Methods in the Applied Sciences 2 Zeitschrift für Analysis und ihre Anwendungen 2 Journal of Elasticity 2 SIAM Journal on Applied Mathematics 2 Differential Equations and Dynamical Systems 2 International Journal of Applied Mathematics and Computer Science 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 2 Journal of Biological Dynamics 1 International Journal of Heat and Mass Transfer 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Journal of Differential Equations 1 Numerische Mathematik 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Applied Numerical Mathematics 1 Computational Mechanics 1 Applied Mathematics Letters 1 Acta Mathematica Universitatis Comenianae. New Series 1 Applied Mathematical Modelling 1 Communications in Partial Differential Equations 1 Bollettino della Unione Matemàtica Italiana. Supplemento 1 Journal of Partial Differential Equations 1 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 1 Nonlinear World 1 Advances in Differential Equations 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Mathematics and Mechanics of Solids 1 Communications in Applied Analysis 1 Communications in Contemporary Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Control and Intelligent Systems 1 Lecture Notes in Physics 1 Pure and Applied Mathematics (Boca Raton) 1 Involve 1 International Journal of Biomathematics 1 Annals of the Academy of Romanian Scientists. Mathematics and its Applications 1 Evolution Equations and Control Theory 1 Fixed Point Theory and Algorithms for Sciences and Engineering all top 5 Fields 126 Mechanics of deformable solids (74-XX) 66 Partial differential equations (35-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 17 Classical thermodynamics, heat transfer (80-XX) 15 Ordinary differential equations (34-XX) 10 Numerical analysis (65-XX) 10 Biology and other natural sciences (92-XX) 7 Mechanics of particles and systems (70-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Operator theory (47-XX) 5 Probability theory and stochastic processes (60-XX) 5 Fluid mechanics (76-XX) 5 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Computer science (68-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 146 Publications have been cited 2,150 times in 898 Documents Cited by ▼ Year ▼ Models and analysis of quasistatic contact. Variational methods. Zbl 1069.74001Shillor, Meir; Sofonea, Mircea; Telega, Józef Joachim 165 2004 Quasistatic viscoelastic contact with friction and wear diffusion. Zbl 1180.74046Shillor, M.; Sofonea, M.; Telega, J. J. 103 2004 Analysis and approximation of contact problems with adhesion or damage. Zbl 1089.74004Sofonea, Mircea; Han, Weimin; Shillor, Meir 103 2006 Frictional contact problems with normal compliance. Zbl 0662.73079Klarbring, A.; Mikelić, A.; Shillor, M. 101 1988 Quasistatic viscoelastic contact with normal compliance and friction. Zbl 0921.73231Rochdi, M.; Shillor, M.; Sofonea, M. 62 1998 Variational and numerical analysis of a quasistatic viscoelastic problem with normal compliance, friction and damage. Zbl 0999.74087Han, Weimin; Shillor, Meir; Sofonea, Mircea 56 2001 Stationary solutions to the thermistor problem. Zbl 0787.35033Howison, S. D.; Rodrigues, J. F.; Shillor, M. 51 1993 Numerical analysis and simulations of a dynamic frictionless contact problem with damage. Zbl 1120.74651Campo, M.; Fernández, J. R.; Kuttler, K. L.; Shillor, M.; Viaño, J. M. 50 2006 On friction problems with normal compliance. Zbl 0707.73068Klarbring, A.; Mikelić, A.; Shillor, M. 43 1989 Dynamic frictionless contact with adhesion. Zbl 1064.74132Chau, O.; Shillor, M.; Sofonea, M. 37 2004 Set-valued pseudomonotone maps and degenerate evolution inclusions. Zbl 0959.34049Kuttler, Kenneth L.; Shillor, Meir 36 1999 Variational and numerical analysis of a quasistatic viscoelastic contact problem with adhesion. Zbl 1075.74061Chau, O.; Fernández, J. R.; Shillor, M.; Sofonea, M. 33 2003 Thermoelastic contact with Barber’s heat exchange condition. Zbl 0807.35064Andrews, Kevin T.; Shi, Peter; Shillor, Meir; Wright, Steve 32 1993 Second order evolution equations with dynamic boundary conditions. Zbl 0854.34059Andrews, Kevin T.; Kuttler, K. L.; Shillor, M. 32 1996 A dynamic thermoviscoelastic contact problem with friction and wear. Zbl 0903.73065Andrews, Kevin T.; Shillor, M.; Wright, S.; Klarbring, A. 31 1997 A frictional contact problem for an electro-viscoelastic body. Zbl 1139.74041Lerguet, Zhor; Shillor, Meir; Sofonea, Mircea 31 2007 Dynamic contact with normal compliance wear and discontinuous friction coefficient. Zbl 1029.74033Kuttler, Kenneth L.; Shillor, Meir 29 2002 One-dimensional models of damage. Zbl 0915.73041Frémond, Michel; Kuttler, Kenneth L.; Nedjar, B.; Shillor, Meir 29 1998 Existence and uniqueness of solutions for a dynamic one-dimensional damage model. Zbl 0920.73328Frémond, Michel; Kuttler, Kenneth L.; Shillor, Meir 28 1999 Dynamically consistent nonstandard finite difference schemes for epidemiological models. Zbl 1291.92097Anguelov, R.; Dumont, Y.; Lubuma, J. M.-S.; Shillor, M. 27 2014 Dynamic contact with Signorini’s condition and slip rate dependent friction. Zbl 1081.74035Kuttler, Kenneth; Shillor, Meir 25 2004 Uniqueness and stability of the solution to a thermoelastic contact problem. Zbl 0722.73058Shi, Peter; Shillor, Meir 25 1990 Vibrations of a beam between two stops. Zbl 1013.74033Kuttler, Kenneth L.; Shillor, Meir 23 2001 Dynamic bilateral contact with discontinuous friction coefficient. Zbl 1046.74037Kuttler, Kenneth L.; Shillor, Meir 22 2001 Numerical analysis of dynamic thermoviscoelastic contact with damage of a rod. Zbl 1171.74386Andrews, K. T.; Fernández, J. R.; Shillor, M. 22 2005 On the dynamic behaviour of a thermoviscoelastic body in frictional contact with a rigid obstacle. Zbl 0894.73135Andrews, K. T.; Kuttler, K. L.; Shillor, M. 22 1997 Quasi-static thermoviscoelastic contact problem with slip dependent friction coefficient. Zbl 1068.74047Amassad, A.; Kuttler, K. L.; Rochdi, M.; Shillor, M. 22 2002 A quasistatic contact problem with directional friction and damped response. Zbl 0904.73055Rochdi, M.; Shillor, M.; Sofenea, M. 22 1998 On the dynamic vibrations of an elastic beam in frictional contact with a rigid obstacle. Zbl 0860.73028Andrews, Kevin T.; Shillor, M.; Wright, S. 21 1996 Analysis and simulations of a contact problem for a nonlinear dynamic beam with a crack. Zbl 1248.74032Kuttler, K. L.; Purcell, J.; Shillor, M. 21 2012 Existence of a solution to the Stefan problem with Joule’s heating. Zbl 0805.35167Shi, Peter; Shillor, Meir; Xu, Xiangsheng 20 1993 Existence of a solution to the \(n\) dimensional problem of thermoelastic contact. Zbl 0765.73059Shi, Peter; Shillor, Meir 19 1992 Quasistatic evolution of damage in an elastic body. Zbl 1103.74050Kuttler, K. L.; Shillor, M. 18 2006 A quasistatic viscoelastic contact problem with friction. Zbl 1210.74132Shillor, Meir; Sofonea, Mircea 18 2000 One-dimensional dynamic thermoviscoelastic contact with damage. Zbl 1006.74072Andrews, K. T.; Kuttler, K. L.; Rochdi, M.; Shillor, M. 18 2002 Frictional wear of a thermoelastic beam. Zbl 0970.74048Gu, R. J.; Kuttler, K. L.; Shillor, M. 17 2000 Analysis and numerical simulations of a dynamic contact problem with adhesion. Zbl 1187.74148Fernández, J. R.; Shillor, M.; Sofonea, M. 17 2003 Stress formulation for frictionless contact on an elastic-perfectly-plastic body. Zbl 1111.74031Sofonea, Mircea; Renon, Nicolas; Shillor, Meir 17 2004 A model for an electropaint process. Zbl 0547.35048Aitchison, J. M.; Lacey, A. A.; Shillor, M. 17 1984 Analysis and simulations of a nonlinear elastic dynamic beam. Zbl 1261.35093Andrews, K. T.; Dumont, Y.; M’Bengue, M. F.; Purcell, J.; Shillor, M. 17 2012 Variational analysis of quasistatic viscoplastic contact problems with friction. Zbl 1084.74541Sofonea, Mircea; Shillor, Meir 17 2001 Numerical solutions to one-dimensional problems of thermoelastic contact. Zbl 0747.73055Shi, Peter; Shillor, Meir; Zou, Xiu-Lin 16 1991 Unilateral dynamic contact of two beams. Zbl 0991.74046Kuttler, K. L.; Park, A.; Shillor, M.; Zhang, Wen 16 2001 Vibrations of a nonlinear dynamic beam between two stops. Zbl 1167.74019Andrews, K. T.; M’Bengue, M. F.; Shillor, M. 15 2009 A global existence result for the quasistatic frictional contact problem with normal compliance. Zbl 0761.73104Klarbring, A.; Mikelić, A.; Shillor, M. 15 1991 On an iterative method for variational inequalities. Zbl 0689.65043Pitonyak, A.; Shi, P.; Shillor, M. 15 1990 Elastic beam in adhesive contact. Zbl 1012.74050Han, W.; Kuttler, K. L.; Shillor, M.; Sofonea, M. 15 2002 Existence and uniqueness for a quasistatic frictional bilateral contact problem in thermoviscoelasticity. Zbl 1151.74397Rochdi, M.; Shillor, M. 15 2000 Quasistatic evolution of damage in an elastic body: numerical analysis and computational experiments. Zbl 1116.74058Campo, M.; Fernández, J. R.; Kuttler, K. L.; Shillor, M. 14 2007 Models and simulations of dynamic frictional contact of a beam. Zbl 0959.74047Kuttler, K. L.; Renard, Y.; Shillor, M. 14 1999 Topological dynamic consistency of non-standard finite difference schemes for dynamical systems. Zbl 1230.65089Anguelov, R.; Lubuma, J. M.-S.; Shillor, M. 14 2011 Existence and regularity for dynamic viscoelastic adhesive contact with damage. Zbl 1089.74040Kuttler, Kenneth L.; Shillor, Meir; Fernández, José R. 13 2006 A quasistatic contact problem in thermoelasticity with a radiation condition for the temperature. Zbl 0771.73078Shi, Peter; Shillor, Meir 12 1993 A viscoelastic frictionless contact problem with adhesion. Zbl 1080.74040Jianu, L.; Shillor, M.; Sofonea, M. 12 2001 A membrane in adhesive contact. Zbl 1081.74034Andrews, Kevin T.; Chapman, L.; Fernández, J. R.; Fisackerly, M.; Shillor, M.; Vanerian, L.; VanHouten, T. 12 2003 Dynamic contact of two Gao beams. Zbl 1302.74116Ahn, Jeongho; Kuttler, Kenneth L.; Shillor, Meir 11 2012 A dynamic model with friction and adhesion with applications to rocks. Zbl 0976.74043Dumont, Y.; Goeleven, D.; Rochdi, M.; Kuttler, K. L.; Shillor, M. 11 2000 A thermoviscoelastic beam model for brakes. Zbl 1085.74033Bajkowski, J.; Fernández, J. R.; Kuttler, K. L.; Shillor, M. 11 2004 A quasi-static contact problem in linear thermoelasticity. Zbl 0748.73011Gilbert, R. P.; Shi, P.; Shillor, M. 11 1990 One-dimensional thermoelastic contact with a stress-dependent radiation condition. Zbl 0770.35035Andrews, Kevin T.; Mikelić, Andro; Shi, Peter; Shillor, Meir; Wright, Steve 11 1992 Thermomechanical behaviour of a damageable beam in contact with two stops. Zbl 1207.74057Andrews, Kevin T.; Shillor, M. 11 2006 A dynamic contact problem in one-dimensional thermoviscoelasticity. Zbl 0831.73054Kuttler, Kenneth L.; Shillor, Meir 11 1995 A thermoviscoelastic beam with a tip body. Zbl 1067.74035Andrews, K. T.; Fernández, J. R.; Shillor, M. 10 2004 Comparison of some standard and nonstandard numerical methods for the MSEIR epidemiological model. Zbl 1183.37147Anguelov, Roumen; Dumont, Yves; Lubuma, Jean; Shillor, Meir 10 2009 Analysis of thermostat models. Zbl 0886.34038Cahlon, B.; Schmidt, D.; Shillor, M.; Zou, X. 10 1997 A quasistatic contact problem with slip-dependent coefficient of friction. Zbl 0919.35051Amassad, Amina; Shillor, Meir; Sofonea, Mircea 10 1999 Quasistatic frictional contact and wear of a beam. Zbl 1015.74037Shillor, M.; Sofonea, M.; Touzani, R. 9 2001 Existence for the thermoviscoelastic thermistor problem. Zbl 1178.74033Kuttler, K. L.; Shillor, M.; Fernández, J. R. 9 2008 Dynamically consistent nonstandard finite difference schemes for continuous dynamical systems. Zbl 1187.65082Anguelov, Roumen; Lubuma, Jean M.-S.; Shillor, Meir 9 2009 Analysis of a quasistatic viscoelastic problem with friction and damage. Zbl 0962.74044Rochdi, M.; Shillor, M.; Sofonea, M. 9 2000 Thermal and wear analysis of an elastic beam in sliding contact. Zbl 0977.74038Gu, R. J.; Shillor, M. 9 2001 A quasistatic contact problem for an elastic perfectly plastic body with Tresca’s friction. Zbl 0923.73054Amassad, Amina; Shillor, Meir; Sofonea, Mircea 9 1999 Variational-hemivariational approach to a quasistatic viscoelastic problem with normal compliance, friction and material damage. Zbl 1325.47144Gasiński, Leszek; Ochal, Anna; Shillor, Meir 9 2015 A model for Chagas disease with controlled spraying. Zbl 1219.92056Spagnuolo, Anna Maria; Shillor, Meir; Stryker, Gabrielle A. 9 2011 A hyperbolic-parabolic system modelling the thermoelastic impact of two rods. Zbl 0808.35080Andrews, Kevin T.; Shillor, Meir; Wright, Steve 8 1994 Vibrations of a beam with a damping tip body. Zbl 1057.74013Andrews, K. T.; Shillor, M. 8 2002 A viscoplastic contact problem with a normal compliance with limited penetration condition and history-dependent stiffness coefficient. Zbl 1273.74364Sofonea, Mircea; Shillor, Meir 8 2014 Electrochemical and electro-discharge machining with a threshold current. Zbl 0656.35121Lacey, A. A.; Shillor, M. 8 1987 Modelling and simulations of a bonded rod. Zbl 1121.74428Nassar, S. A.; Andrews, K. T.; Kruk, S.; Shillor, M. 8 2005 Analysis and simulations of vibrations of a beam with a slider. Zbl 1038.74562Dumont, Y.; Kuttler, K. L.; Shillor, M. 8 2003 Dynamic adhesive contact of a membrane. Zbl 1057.74026Andrews, Kevin T.; Shillor, Meir 8 2003 Quasistatic thermoviscoelastic problem with normal compliance, multivalued friction and wear diffusion. Zbl 1331.74042Gasiński, Leszek; Ochal, Anna; Shillor, Meir 7 2016 Regularity of solutions to a dynamic frictionless contact problem with normal compliance. Zbl 1085.74035Kuttler, K. L.; Shillor, M. 7 2004 Existence for dynamic contact of a stochastic viscoelastic Gao beam. Zbl 1326.74099Kuttler, Kenneth L.; Li, Ji; Shillor, Meir 7 2015 Existence results for dynamic adhesive contact of a rod. Zbl 1154.74034Kuttler, K. L.; Menike, R. S. R.; Shillor, M. 7 2009 The Stefan problem with convection and Joule’s heating. Zbl 1023.35528Xu, Xiangsheng; Shillor, Meir 7 1997 A general product measurability theorem with applications to variational inequalities. Zbl 1342.35461Kuttler, Kenneth L.; Li, Ji; Shillor, Meir 6 2016 Dynamic Gao beam in contact with a reactive or rigid foundation. Zbl 1317.74049Andrews, Kevin T.; Kuttler, Kenneth L.; Shillor, Meir 6 2015 A quasistatic contact problem for an elastoplastic rod. Zbl 0895.73062Shillor, Meir; Sofonea, Mircea 5 1998 A dynamic model for a thermostat. Zbl 0972.80003Zou, X.; Jordan, J. A.; Shillor, M. 5 1999 Quasistatic problems in contact mechanics. Zbl 0980.74046Shillor, Meir 5 2001 A parabolic system modeling the thermoelastic contact of two rods. Zbl 0821.35073Andrews, Kevin T.; Shi, Peter; Shillor, Meir; Wright, Steve 5 1995 Noncoercive variational inequalities with application to friction problems. Zbl 0729.49017Shi, P.; Shillor, M. 5 1991 Existence for a thermoviscoelastic beam model of brakes. Zbl 1124.74309Kuttler, K. L.; Shillor, M.; Fernández, J. R. 5 2004 Analysis of viscoelastic contact with normal compliance, friction and wear diffusion. Zbl 1180.74047Shillor, Meir; Sofonea, Mircea; Telega, J. Joachim 5 2003 Existence of generalized weak solutions to a model for in situ vitrification. Zbl 0939.35197Gariepy, R. F.; Shillor, M.; Xu, X. 5 1998 A model for heat transfer in grinding. Zbl 0947.74040Andrews, Kevin T.; Shillor, Meir; Wright, Steve 5 1999 A one-dimensional thermoviscoelastic contact problem. Zbl 0813.35129Kuttler, Kenneth; Shillor, Meir 4 1994 Thermal analysis of the grinding process. Zbl 1112.74371Gu, R. J.; Shillor, M.; Barber, G. C.; Jen, T. 4 2004 Numerical solutions to the problem of thermoelastic contact of two rods. Zbl 0783.73064Cheng, Charles Ching-An; Shillor, Meir 4 1993 Measurable solutions for elliptic inclusions and quasistatic problems. Zbl 1442.35152Andrews, Kevin T.; Kuttler, Kenneth L.; Li, Ji; Shillor, Meir 2 2019 A frictional contact problem with wear diffusion. Zbl 1472.74172Kalita, Piotr; Szafraniec, Pawel; Shillor, Meir 2 2019 Dynamic thermoviscoelastic thermistor problem with contact and nonmonotone friction. Zbl 1393.35028Bartosz, Krzysztof; Janiczko, Tomasz; Szafraniec, Paweł; Shillor, Meir 3 2018 A Gao beam subjected to a moving inertial point load. Zbl 1404.74058Bajer, Czesław I.; Dyniewicz, Bartłomiej; Shillor, Meir 2 2018 Vibrations of a beam between two rigid stops: strong solutions in the framework of vector-valued measures. Zbl 1394.35289Paoli, Laetitia; Shillor, Meir 2 2018 Quasistatic evolution of damage in an elastic body with random inputs. Zbl 1391.35234Andrews, K. T.; Kuttler, K. L.; Shillor, M. 1 2018 Model and analysis for quasistatic frictional contact of a 2D elastic bar. Zbl 1391.74173Sofonea, Mircea; Shillor, Meir 1 2018 Models of debonding caused by vibrations, heat and humidity. Zbl 1387.74101Shillor, Meir 4 2017 Modeling, analysis and simulations of a dynamic thermoviscoelastic rod-beam system. Zbl 1374.35259Ahn, J.; Kuttler, K. L.; Shillor, M. 2 2017 Modeling, analysis and simulations of debonding of bonded rod-beam system caused by humidity and thermal effects. Zbl 1386.74077Kuttler, Ken L.; Kruk, Serge; Marcinek, Pawel; Shillor, Meir 2 2017 Simulations of a logistic-type model with delays for Chagas disease with insecticide spraying. Zbl 1361.92062Al-Asuoad, Nofe; Pleasant, Tyler; Shillor, Meir; Munugala, Hrishikesh; Coffield, Daniel J. jun.; Spagnuolo, Anna Maria 2 2017 Quasistatic thermoviscoelastic problem with normal compliance, multivalued friction and wear diffusion. Zbl 1331.74042Gasiński, Leszek; Ochal, Anna; Shillor, Meir 7 2016 A general product measurability theorem with applications to variational inequalities. Zbl 1342.35461Kuttler, Kenneth L.; Li, Ji; Shillor, Meir 6 2016 Variational-hemivariational approach to a quasistatic viscoelastic problem with normal compliance, friction and material damage. Zbl 1325.47144Gasiński, Leszek; Ochal, Anna; Shillor, Meir 9 2015 Existence for dynamic contact of a stochastic viscoelastic Gao beam. Zbl 1326.74099Kuttler, Kenneth L.; Li, Ji; Shillor, Meir 7 2015 Dynamic Gao beam in contact with a reactive or rigid foundation. Zbl 1317.74049Andrews, Kevin T.; Kuttler, Kenneth L.; Shillor, Meir 6 2015 Editorial. Zbl 1305.00120 3 2015 Dynamically consistent nonstandard finite difference schemes for epidemiological models. Zbl 1291.92097Anguelov, R.; Dumont, Y.; Lubuma, J. M.-S.; Shillor, M. 27 2014 A viscoplastic contact problem with a normal compliance with limited penetration condition and history-dependent stiffness coefficient. Zbl 1273.74364Sofonea, Mircea; Shillor, Meir 8 2014 Product measurability with applications to a stochastic contact problem with friction. Zbl 1312.60083Kuttler, Kenneth L.; Shillor, Meir 4 2014 A model of a spring-mass-damper system with temperature-dependent friction. Zbl 1391.70047Migorski, S.; Ochal, A.; Shillor, M.; Sofonea, M. 2 2014 Analysis and simulations of a contact problem for a nonlinear dynamic beam with a crack. Zbl 1248.74032Kuttler, K. L.; Purcell, J.; Shillor, M. 21 2012 Analysis and simulations of a nonlinear elastic dynamic beam. Zbl 1261.35093Andrews, K. T.; Dumont, Y.; M’Bengue, M. F.; Purcell, J.; Shillor, M. 17 2012 Dynamic contact of two Gao beams. Zbl 1302.74116Ahn, Jeongho; Kuttler, Kenneth L.; Shillor, Meir 11 2012 Analysis of the steady states of a mathematical model for Chagas disease. Zbl 1302.92126Clauson, Mary; Harrison, Albert; Shuman, Laura; Shillor, Meir; Spagnuolo, Anna Maria 4 2012 A logistic delay differential equation model for Chagas disease with interrupted spraying schedules. Zbl 1448.92343Spagnuolo, Anna Maria; Shillor, Meir; Kingsland, Lindsey; Thatcher, Andrea; Toeniskoetter, Matthew; Wood, Benjamin 1 2012 Topological dynamic consistency of non-standard finite difference schemes for dynamical systems. Zbl 1230.65089Anguelov, R.; Lubuma, J. M.-S.; Shillor, M. 14 2011 A model for Chagas disease with controlled spraying. Zbl 1219.92056Spagnuolo, Anna Maria; Shillor, Meir; Stryker, Gabrielle A. 9 2011 Vibrations of a nonlinear dynamic beam between two stops. Zbl 1167.74019Andrews, K. T.; M’Bengue, M. F.; Shillor, M. 15 2009 Comparison of some standard and nonstandard numerical methods for the MSEIR epidemiological model. Zbl 1183.37147Anguelov, Roumen; Dumont, Yves; Lubuma, Jean; Shillor, Meir 10 2009 Dynamically consistent nonstandard finite difference schemes for continuous dynamical systems. Zbl 1187.65082Anguelov, Roumen; Lubuma, Jean M.-S.; Shillor, Meir 9 2009 Existence results for dynamic adhesive contact of a rod. Zbl 1154.74034Kuttler, K. L.; Menike, R. S. R.; Shillor, M. 7 2009 Dynamically consistent non-standard finite difference schemes for the MSEIR epidemiological model. Zbl 1183.37146Anguelov, Roumen; Dumont, Yves; Lubuma, Jean M.-S.; Shillor, Meir 4 2009 Existence for the thermoviscoelastic thermistor problem. Zbl 1178.74033Kuttler, K. L.; Shillor, M.; Fernández, J. R. 9 2008 Regularity result for the problem of vibrations of a nonlinear beam. Zbl 1137.74027M’Bengue, M’Bagne F.; Shillor, Meir 3 2008 A model for a magnetorheological damper. Zbl 1145.76470Bajkowski, J.; Nachman, J.; Shillor, M.; Sofonea, M. 2 2008 Motion control of a nonlinear spring by reinforcement learning. Zbl 1172.93424Bucak, I. O.; Zohdy, M. A.; Shillor, M. 1 2008 A frictional contact problem for an electro-viscoelastic body. Zbl 1139.74041Lerguet, Zhor; Shillor, Meir; Sofonea, Mircea 31 2007 Quasistatic evolution of damage in an elastic body: numerical analysis and computational experiments. Zbl 1116.74058Campo, M.; Fernández, J. R.; Kuttler, K. L.; Shillor, M. 14 2007 Vibrations of a damageable string. Zbl 1297.74053Andrews, K. T.; Anderson, S.; Menike, R. S. R.; Shillor, M.; Swaminathan, R.; Yuzwalk, J. 4 2007 Analysis and approximation of contact problems with adhesion or damage. Zbl 1089.74004Sofonea, Mircea; Han, Weimin; Shillor, Meir 103 2006 Numerical analysis and simulations of a dynamic frictionless contact problem with damage. Zbl 1120.74651Campo, M.; Fernández, J. R.; Kuttler, K. L.; Shillor, M.; Viaño, J. M. 50 2006 Quasistatic evolution of damage in an elastic body. Zbl 1103.74050Kuttler, K. L.; Shillor, M. 18 2006 Existence and regularity for dynamic viscoelastic adhesive contact with damage. Zbl 1089.74040Kuttler, Kenneth L.; Shillor, Meir; Fernández, José R. 13 2006 Thermomechanical behaviour of a damageable beam in contact with two stops. Zbl 1207.74057Andrews, Kevin T.; Shillor, M. 11 2006 Numerical analysis of dynamic thermoviscoelastic contact with damage of a rod. Zbl 1171.74386Andrews, K. T.; Fernández, J. R.; Shillor, M. 22 2005 Modelling and simulations of a bonded rod. Zbl 1121.74428Nassar, S. A.; Andrews, K. T.; Kruk, S.; Shillor, M. 8 2005 Numerical analysis of a viscoelastic frictionless contact problem with adhesion and damage. (Analyse numérique d’un probléme de contact viscoélastique sans frottement avec adhérence et endommagement.) Zbl 1139.74431Fernández, José R.; Kuttler, Kenneth L.; Shillor, Meir 2 2005 Numerical simulations of vehicle platform stabilization. Zbl 1291.93247Lindsey, W. A.; Spagnuolo, A. M.; Chipman, J. C.; Shillor, M. 1 2005 Models and analysis of quasistatic contact. Variational methods. Zbl 1069.74001Shillor, Meir; Sofonea, Mircea; Telega, Józef Joachim 165 2004 Quasistatic viscoelastic contact with friction and wear diffusion. Zbl 1180.74046Shillor, M.; Sofonea, M.; Telega, J. J. 103 2004 Dynamic frictionless contact with adhesion. Zbl 1064.74132Chau, O.; Shillor, M.; Sofonea, M. 37 2004 Dynamic contact with Signorini’s condition and slip rate dependent friction. Zbl 1081.74035Kuttler, Kenneth; Shillor, Meir 25 2004 Stress formulation for frictionless contact on an elastic-perfectly-plastic body. Zbl 1111.74031Sofonea, Mircea; Renon, Nicolas; Shillor, Meir 17 2004 A thermoviscoelastic beam model for brakes. Zbl 1085.74033Bajkowski, J.; Fernández, J. R.; Kuttler, K. L.; Shillor, M. 11 2004 A thermoviscoelastic beam with a tip body. Zbl 1067.74035Andrews, K. T.; Fernández, J. R.; Shillor, M. 10 2004 Regularity of solutions to a dynamic frictionless contact problem with normal compliance. Zbl 1085.74035Kuttler, K. L.; Shillor, M. 7 2004 Existence for a thermoviscoelastic beam model of brakes. Zbl 1124.74309Kuttler, K. L.; Shillor, M.; Fernández, J. R. 5 2004 Thermal analysis of the grinding process. Zbl 1112.74371Gu, R. J.; Shillor, M.; Barber, G. C.; Jen, T. 4 2004 Heat conduction with flux condition on a free patch. Zbl 1061.35177Kuttler, Kenneth L.; Shillor, Meir 1 2004 Variational and numerical analysis of a quasistatic viscoelastic contact problem with adhesion. Zbl 1075.74061Chau, O.; Fernández, J. R.; Shillor, M.; Sofonea, M. 33 2003 Analysis and numerical simulations of a dynamic contact problem with adhesion. Zbl 1187.74148Fernández, J. R.; Shillor, M.; Sofonea, M. 17 2003 A membrane in adhesive contact. Zbl 1081.74034Andrews, Kevin T.; Chapman, L.; Fernández, J. R.; Fisackerly, M.; Shillor, M.; Vanerian, L.; VanHouten, T. 12 2003 Analysis and simulations of vibrations of a beam with a slider. Zbl 1038.74562Dumont, Y.; Kuttler, K. L.; Shillor, M. 8 2003 Dynamic adhesive contact of a membrane. Zbl 1057.74026Andrews, Kevin T.; Shillor, Meir 8 2003 Analysis of viscoelastic contact with normal compliance, friction and wear diffusion. Zbl 1180.74047Shillor, Meir; Sofonea, Mircea; Telega, J. Joachim 5 2003 Dynamic contact with normal compliance wear and discontinuous friction coefficient. Zbl 1029.74033Kuttler, Kenneth L.; Shillor, Meir 29 2002 Quasi-static thermoviscoelastic contact problem with slip dependent friction coefficient. Zbl 1068.74047Amassad, A.; Kuttler, K. L.; Rochdi, M.; Shillor, M. 22 2002 One-dimensional dynamic thermoviscoelastic contact with damage. Zbl 1006.74072Andrews, K. T.; Kuttler, K. L.; Rochdi, M.; Shillor, M. 18 2002 Elastic beam in adhesive contact. Zbl 1012.74050Han, W.; Kuttler, K. L.; Shillor, M.; Sofonea, M. 15 2002 Vibrations of a beam with a damping tip body. Zbl 1057.74013Andrews, K. T.; Shillor, M. 8 2002 Cellular automata model for a contact problem. Zbl 1073.74596Abdellaoui, M.; El Jai, A.; Shillor, M. 4 2002 Variational and numerical analysis of a quasistatic viscoelastic problem with normal compliance, friction and damage. Zbl 0999.74087Han, Weimin; Shillor, Meir; Sofonea, Mircea 56 2001 Vibrations of a beam between two stops. Zbl 1013.74033Kuttler, Kenneth L.; Shillor, Meir 23 2001 Dynamic bilateral contact with discontinuous friction coefficient. Zbl 1046.74037Kuttler, Kenneth L.; Shillor, Meir 22 2001 Variational analysis of quasistatic viscoplastic contact problems with friction. Zbl 1084.74541Sofonea, Mircea; Shillor, Meir 17 2001 Unilateral dynamic contact of two beams. Zbl 0991.74046Kuttler, K. L.; Park, A.; Shillor, M.; Zhang, Wen 16 2001 A viscoelastic frictionless contact problem with adhesion. Zbl 1080.74040Jianu, L.; Shillor, M.; Sofonea, M. 12 2001 Quasistatic frictional contact and wear of a beam. Zbl 1015.74037Shillor, M.; Sofonea, M.; Touzani, R. 9 2001 Thermal and wear analysis of an elastic beam in sliding contact. Zbl 0977.74038Gu, R. J.; Shillor, M. 9 2001 Quasistatic problems in contact mechanics. Zbl 0980.74046Shillor, Meir 5 2001 Dual formulation of a quasistatic viscoelastic contact problem with Tresca’s friction law. Zbl 1021.74031Awbi, B.; Shillor, M.; Sofonea, M. 3 2001 Numerical analysis and simulations of quasistatic frictionless contact problems. Zbl 0985.74045Fernández García, José Ramón; Han, Weimin; Shillor, Meir; Sofonea, Mircea 1 2001 A quasistatic viscoelastic contact problem with friction. Zbl 1210.74132Shillor, Meir; Sofonea, Mircea 18 2000 Frictional wear of a thermoelastic beam. Zbl 0970.74048Gu, R. J.; Kuttler, K. L.; Shillor, M. 17 2000 Existence and uniqueness for a quasistatic frictional bilateral contact problem in thermoviscoelasticity. Zbl 1151.74397Rochdi, M.; Shillor, M. 15 2000 A dynamic model with friction and adhesion with applications to rocks. Zbl 0976.74043Dumont, Y.; Goeleven, D.; Rochdi, M.; Kuttler, K. L.; Shillor, M. 11 2000 Analysis of a quasistatic viscoelastic problem with friction and damage. Zbl 0962.74044Rochdi, M.; Shillor, M.; Sofonea, M. 9 2000 Frictional contact of a nonlinear spring. Zbl 1042.70510Dumont, Y.; Goeleven, D.; Rochdi, M.; Shillor, M. 4 2000 Set-valued pseudomonotone maps and degenerate evolution inclusions. Zbl 0959.34049Kuttler, Kenneth L.; Shillor, Meir 36 1999 Existence and uniqueness of solutions for a dynamic one-dimensional damage model. Zbl 0920.73328Frémond, Michel; Kuttler, Kenneth L.; Shillor, Meir 28 1999 Models and simulations of dynamic frictional contact of a beam. Zbl 0959.74047Kuttler, K. L.; Renard, Y.; Shillor, M. 14 1999 A quasistatic contact problem with slip-dependent coefficient of friction. Zbl 0919.35051Amassad, Amina; Shillor, Meir; Sofonea, Mircea 10 1999 A quasistatic contact problem for an elastic perfectly plastic body with Tresca’s friction. Zbl 0923.73054Amassad, Amina; Shillor, Meir; Sofonea, Mircea 9 1999 A dynamic model for a thermostat. Zbl 0972.80003Zou, X.; Jordan, J. A.; Shillor, M. 5 1999 A model for heat transfer in grinding. Zbl 0947.74040Andrews, Kevin T.; Shillor, Meir; Wright, Steve 5 1999 A contact problem for Bingham fluid with friction. Zbl 1054.74681Awbi, B.; Shillor, M.; Sofonea, M. 2 1999 Oscillations in thermostat models. Zbl 0934.34060Cahlon, Baruch; Schmidt, Darrell; Shillor, Meir; Zou, Xiulin 1 1999 Quasistatic viscoelastic contact with normal compliance and friction. Zbl 0921.73231Rochdi, M.; Shillor, M.; Sofonea, M. 62 1998 One-dimensional models of damage. Zbl 0915.73041Frémond, Michel; Kuttler, Kenneth L.; Nedjar, B.; Shillor, Meir 29 1998 ...and 46 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 839 Authors 99 Sofonea, Mircea 78 Fernández, Jose Ramon 74 Shillor, Meir 71 Migórski, Stanisław 30 Ochal, Anna 29 Kuttler, Kenneth L. jun. 28 Han, Weimin 26 Copetti, Maria Inês M. 22 Barboteu, Mikaël 19 Quintanilla de Latorre, Ramón 18 Bazarra, Noelia 18 Campo, Marco A. 17 Zeng, Shengda 16 Rodríguez-Arós, Ángel D. 15 Andrews, Kevin T. 15 Bartosz, Krzysztof 15 Matei, Andaluzia Cristina 14 Noor, Muhammad Aslam 13 Ahn, Jeongho 13 Dumont, Yves 12 Touzaline, Arezki 12 Viaño, Juan Manuel 11 Muñoz Rivera, Jaime Edilberto 10 Benaissa, Hicham 10 Kalita, Piotr 10 Lubuma, Jean Mbaro-Saman 10 Xiao, Yibin 9 Bonetti, Elena 9 Cheng, Xiaoliang 9 Cimatti, Giovanni 9 Huang, Nan-Jing 9 Liu, Zhenhai 9 Naso, Maria Grazia 9 Roubíček, Tomáš 8 Bonfanti, Giovanna 8 Chapwanya, Michael 8 Chau, Oanh 8 Fakhar, Rachid 8 Kasri, Abderrezak 8 Li, Xiaolin 8 Pătrulescu, Flavius-Olimpiu 8 Selmani, Mohamed 7 Angelov, Todor Angelov 7 Cocou, Marius 7 Essoufi, El Hassan 7 Gasiński, Leszek 7 Han, Jiangfeng 7 Hoang, Manh Tuan 7 Klarbring, Anders 7 Kutluay, Selcuk 7 Rossi, Riccarda 7 Selmani, Lynda 6 Alduncin, Gonzalo 6 Aouadi, Moncef 6 Danan, David 6 Goeleven, Daniel 6 Gwinner, Joachim 6 Hild, Patrick 6 Liu, Wenjun 6 Martínez, Rebeca 6 Shi, Peter 6 Xu, Xiangsheng 5 Benkhira, El-Hassan 5 Esen, Alaattin 5 Gao, David Yang 5 Khludnev, Aleksandr Mikhaĭlovich 5 Macías-Díaz, Jorge Eduardo 5 Masid, Maria 5 Mikelić, Andro 5 Muñiz, M. Carmen 5 Noor, Khalida Inayat 5 Sidi Ammi, Moulay Rchid 5 Stavroulakis, Georgios E. 5 Szafraniec, Paweł 5 Torres, Delfim Fernando Marado 4 Amassad, Amina 4 Anguelov, Roumen 4 Baiz, Othmane 4 Baldonedo, Jacobo 4 Berti, Alessia 4 Cao-Rial, M. T. 4 Capatina, Anca 4 Castiñeira, Gonzalo 4 Dang Quang A 4 Denkowski, Zdzislaw 4 Hömberg, Dietmar 4 Jureczka, Michal 4 Kovtunenko, Viktor Anatolievich 4 Li, Yunxiang 4 Núñez, Cristina 4 Ogorzały, Justyna 4 Paoli, Laetitia A. 4 Petrov, Adrien 4 Rochdi, Mohamed 4 Terefe, Yibeltal Adane 4 van Rensburg, Nicolaas F. J. 4 Vitillaro, Enzo 4 Wang, Fei 4 Wright, Steve 4 Xuan, Hailing ...and 739 more Authors all top 5 Cited in 201 Serials 50 Journal of Mathematical Analysis and Applications 40 Applicable Analysis 40 Journal of Computational and Applied Mathematics 37 Nonlinear Analysis. Real World Applications 26 Applied Mathematics and Computation 26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 25 ZAMP. 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(English Edition) 2 Nonlinear Dynamics and Systems Theory ...and 101 more Serials all top 5 Cited in 30 Fields 608 Mechanics of deformable solids (74-XX) 366 Partial differential equations (35-XX) 260 Calculus of variations and optimal control; optimization (49-XX) 190 Numerical analysis (65-XX) 108 Operator theory (47-XX) 56 Ordinary differential equations (34-XX) 55 Biology and other natural sciences (92-XX) 54 Classical thermodynamics, heat transfer (80-XX) 29 Fluid mechanics (76-XX) 21 Dynamical systems and ergodic theory (37-XX) 19 Systems theory; control (93-XX) 17 Optics, electromagnetic theory (78-XX) 17 Operations research, mathematical programming (90-XX) 13 Mechanics of particles and systems (70-XX) 9 Difference and functional equations (39-XX) 7 Functional analysis (46-XX) 6 Integral equations (45-XX) 4 Approximations and expansions (41-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Probability theory and stochastic processes (60-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Geophysics (86-XX) 2 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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