## Polignone, Debra A.

Compute Distance To:
 Author ID: polignone.debra-a Published as: Polignone, Debra A.; Polignone, D. A.; Polignone, Debra more...less
 Documents Indexed: 10 Publications since 1991 Co-Authors: 5 Co-Authors with 10 Joint Publications 165 Co-Co-Authors

### Co-Authors

 0 single-authored 7 Horgan, Cornelius Oliver 1 Gurtin, Morton Edward 1 Paullet, Joseph Edward 1 Viñals, Jorge 1 Warne, Paul G.

### Serials

 5 Quarterly of Applied Mathematics 2 Journal of Elasticity 1 International Journal of Solids and Structures 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Mathematics and Mechanics of Solids

### Fields

 9 Mechanics of deformable solids (74-XX) 2 Ordinary differential equations (34-XX) 1 Fluid mechanics (76-XX)

### Citations contained in zbMATH Open

8 Publications have been cited 296 times in 271 Documents Cited by Year
Two-phase binary fluids and immiscible fluids described by an order parameter. Zbl 0857.76008
Gurtin, Morton E.; Polignone, Debra; Viñals, Jorge
1996
Cavitation for incompressible anisotropic nonlinearly elastic spheres. Zbl 0856.73024
Polignone, Debra A.; Horgan, Cornelius O.
1993
Effects of material anisotropy and inhomogeneity on cavitation for composite incompressible anisotropic nonlinearly elastic spheres. Zbl 0817.73037
Polignone, Debra A.; Horgan, Cornelius O.
1993
Pure torsion of compressible nonlinearly elastic circular cylinders. Zbl 0751.73014
Polignone, Debra A.; Horgan, Cornelius O.
1991
Pure azimuthal shear of compressible nonlinearly elastic circular tubes. Zbl 0813.73026
Polignone, Debra A.; Horgan, Cornelius O.
1994
Axisymmetric finite anti-plane shear of compressible nonlinearly elastic circular tubes. Zbl 0755.73047
Polignone, Debra A.; Horgan, Cornelius O.
1992
A note on the pure torsion of a circular cylinder for a compressible nonlinearly elastic material with nonconvex strain-energy. Zbl 0817.73008
Horgan, Cornelius O.; Polignone, Debra A.
1995
Existence and a priori bounds for the finite torsion solution for a class of general Blatzko materials. Zbl 1001.74520
Paullet, Joseph E.; Polignone, Debra A.
1996
Two-phase binary fluids and immiscible fluids described by an order parameter. Zbl 0857.76008
Gurtin, Morton E.; Polignone, Debra; Viñals, Jorge
1996
Existence and a priori bounds for the finite torsion solution for a class of general Blatzko materials. Zbl 1001.74520
Paullet, Joseph E.; Polignone, Debra A.
1996
A note on the pure torsion of a circular cylinder for a compressible nonlinearly elastic material with nonconvex strain-energy. Zbl 0817.73008
Horgan, Cornelius O.; Polignone, Debra A.
1995
Pure azimuthal shear of compressible nonlinearly elastic circular tubes. Zbl 0813.73026
Polignone, Debra A.; Horgan, Cornelius O.
1994
Cavitation for incompressible anisotropic nonlinearly elastic spheres. Zbl 0856.73024
Polignone, Debra A.; Horgan, Cornelius O.
1993
Effects of material anisotropy and inhomogeneity on cavitation for composite incompressible anisotropic nonlinearly elastic spheres. Zbl 0817.73037
Polignone, Debra A.; Horgan, Cornelius O.
1993
Axisymmetric finite anti-plane shear of compressible nonlinearly elastic circular tubes. Zbl 0755.73047
Polignone, Debra A.; Horgan, Cornelius O.
1992
Pure torsion of compressible nonlinearly elastic circular cylinders. Zbl 0751.73014
Polignone, Debra A.; Horgan, Cornelius O.
1991
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### Cited by 375 Authors

 15 Yang, Xiaofeng 13 Grasselli, Maurizio 13 Tachim Medjo, Theodore 12 Abels, Helmut 11 Shen, Jie 10 Horgan, Cornelius Oliver 10 Wang, Qi 7 Frigeri, Sergio 7 Gal, Ciprian Gheorghe Sorin 7 Kotschote, Matthias 7 Zhao, Jia 6 Deugoue, Gabriel 6 Giorgini, Andrea 5 Cheng, Changjun 5 Han, Daozhi 5 Liu, Chun 5 Miranville, Alain M. 5 Morro, Angelo 5 Murphy, Jeremiah G. 5 Saccomandi, Giuseppe 5 Xu, Chuanju 4 Fabrizio, Mauro 4 Garcke, Harald 4 Giesselmann, Jan 4 Giorgi, Claudio 4 Goriely, Alain 4 Hou, Dianming 4 Lima, Pedro Miguel 4 Lowengrub, John Samuel 4 Schimperna, Giulio 4 You, Bo 4 Yuan, Xuegang 4 Zhu, Zhengyou 3 Berti, Alessia 3 Chen, Zhengzheng 3 Dreyer, Wolfgang 3 Gong, Yuezheng 3 Haspot, Boris 3 Kraus, Christiane 3 Peyraut, François 3 Polignone Warne, Debra 3 Polignone, Debra A. 3 Rocca, Elisabetta 3 Shu, Chang 3 Tan, Zhong 3 Temam, Roger Meyer 3 Terasawa, Yutaka 3 Wang, Xiaoming 3 Warne, Paul G. 3 Zhao, Kun 2 Aki, Gonca L. 2 Bochicchio, Ivana 2 Bosia, Stefano 2 Boyer, Franck 2 Bulatov, Mikhail Valer’yanovich 2 Cai, Yongyong 2 Ceniceros, Hector D. 2 Cimmelli, Vito Antonio 2 deBotton, Gal 2 Dede’, Luca 2 Depner, Daniel 2 Diening, Lars 2 Eleuteri, Michela 2 Feng, Zhiqiang 2 Fosdick, Roger L. 2 Freistühler, Heinrich 2 Grün, Günther 2 He, Jingning 2 Huang, Kefu 2 Jiang, Jie 2 Jidjou Moghomye, B. 2 Jin, Ming 2 Jing, Xiaobo 2 Kim, Junseok 2 Labed, Nadia 2 Li, Huiyuan 2 Lin, Ping 2 Merodio, Jose 2 Metzger, Stefan 2 Morgado, Luisa 2 Negrón-Marrero, Pablo V. 2 Ogden, Raymond William 2 Oliveri, Francesco 2 Pace, Angelo Raffaele 2 Paullet, Joseph Edward 2 Pence, Thomas J. 2 Peralta, Gilbert R. 2 Pražák, Dalibor 2 Rajagopal, Kumbakonam Ramamani 2 Ren, Jiusheng 2 Rieger, Marc Oliver 2 Shang, Xinchun 2 Shmuel, Gal 2 Shokrpour Roudbari, Mahnaz 2 Sivaloganathan, Jeyabal 2 Su, Haiyan 2 Sun, Shouwen 2 Van Brummelen, Harald 2 Wang, Xue 2 Wang, Yan ...and 275 more Authors
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### Cited in 94 Serials

 26 Journal of Computational Physics 16 Journal of Elasticity 13 Mathematics and Mechanics of Solids 12 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 11 Journal of Scientific Computing 10 Journal of Mathematical Analysis and Applications 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Computers and Fluids 6 Journal of the Mechanics and Physics of Solids 6 Journal of Differential Equations 6 Applied Mathematics and Mechanics. (English Edition) 5 Archive for Rational Mechanics and Analysis 5 Mathematical Methods in the Applied Sciences 4 Computers & Mathematics with Applications 4 International Journal of Engineering Science 4 Journal of Fluid Mechanics 4 Physics of Fluids 4 Journal of Mathematical Fluid Mechanics 3 Computer Methods in Applied Mechanics and Engineering 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Applied Mathematics and Computation 3 Chinese Annals of Mathematics. Series B 3 Physica D 3 Applied Numerical Mathematics 3 Asymptotic Analysis 3 SIAM Journal on Scientific Computing 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Nonlinear Analysis. Real World Applications 3 Discrete and Continuous Dynamical Systems. Series B 2 Acta Mechanica 2 Journal of Engineering Mathematics 2 Applied Mathematics and Optimization 2 Numerische Mathematik 2 Quarterly of Applied Mathematics 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Continuum Mechanics and Thermodynamics 2 Calculus of Variations and Partial Differential Equations 2 NoDEA. Nonlinear Differential Equations and Applications 2 Discrete and Continuous Dynamical Systems 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Journal of Evolution Equations 2 Stochastics and Dynamics 2 Communications on Pure and Applied Analysis 2 Communications in Computational Physics 2 Advances in Applied Mathematics and Mechanics 1 Applicable Analysis 1 Communications in Mathematical Physics 1 International Journal of Solids and Structures 1 Journal of Mathematical Physics 1 Nonlinearity 1 Physics Letters. A 1 Mathematics of Computation 1 Journal of Computational and Applied Mathematics 1 Mathematische Zeitschrift 1 Meccanica 1 Results in Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Stochastic Analysis and Applications 1 Computational Mechanics 1 European Journal of Applied Mathematics 1 Numerical Algorithms 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Journal of Dynamics and Differential Equations 1 Archive of Applied Mechanics 1 Journal of Nonlinear Science 1 Annales Mathématiques Blaise Pascal 1 Advances in Computational Mathematics 1 Journal of Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Journal of Applied Mechanics and Technical Physics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 European Journal of Mechanics. A. Solids 1 European Journal of Mechanics. B. Fluids 1 Interfaces and Free Boundaries 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Archives of Computational Methods in Engineering 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 Multiscale Modeling & Simulation 1 Theoretical and Applied Mechanics 1 Journal of Hyperbolic Differential Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 Mathematical Control and Related Fields 1 Annals of Applied Mathematics 1 AIMS Mathematics 1 SN Partial Differential Equations and Applications
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### Cited in 21 Fields

 151 Fluid mechanics (76-XX) 138 Partial differential equations (35-XX) 69 Numerical analysis (65-XX) 68 Mechanics of deformable solids (74-XX) 20 Classical thermodynamics, heat transfer (80-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Integral equations (45-XX) 7 Probability theory and stochastic processes (60-XX) 7 Geophysics (86-XX) 5 Biology and other natural sciences (92-XX) 4 Ordinary differential equations (34-XX) 3 Real functions (26-XX) 3 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX)