-
Previous Article
Global and exponential attractors for a Ginzburg-Landau model of superfluidity
- DCDS-S Home
- This Issue
-
Next Article
Preface
The position of the joint of shape memory alloy and bias springs
| 1. | Department of Mathematics, Faculty of Education, Gifu University, Yanagido 1-1, Gifu, 501-1193 |
References:
| [1] |
T. Aiki, Multi-dimensional Stefan problems with dynamic boundary conditions, Applicable Analysis, Applicable Analysis, 56 (1995), 71-94.
doi: 10.1080/00036819508840311. |
| [2] |
T. Aiki, Multi-dimensional two-phase Stefan problems with nonlinear dynamic boundary conditions, in "Nonlinear Analysis and Applications," Gakuto International Series, Mathematical Sciences and Applications, Vol. 7, (1996), 1-25. |
| [3] |
T. Aiki, A mathematical model for a valve made of a spring of a shape memory alloy, in "Nonlinear Phenomena with Energy Dissipation, Mathematical Analysis, Modeling and Simulation," Gakuto International Series, Mathematical Sciences and Applications, Vol. 29, (2008), 1-18. |
| [4] |
K. T. Andrews, K. L. Kuttler and M. Shillor, Second order evolution equations with dynamic boundary conditions, J. Math. Anal. Appl., 197 (1996), 781-795.
doi: 10.1006/jmaa.1996.0053. |
| [5] |
M. Brokate and J. Sprekels, "Hysteresis and Phase Transitions," Appl. Math. Sci., 121, Springer-Verlag, New York, 1996. |
| [6] |
R. E. Langer, A problem in diffusion or in the flow of heat for a solid in contact with fluid, Tôhoku Math. J. Ser. 1, 35 (1932), 260-275. |
| [7] |
J. L. Lions, "Quelques Methods de Resolutions des Problems aux Limites Non Lineares," Dunod, Paris, 1969. |
| [8] |
N. Sato and T. Aiki, Phase field equations with constraints under nonlinear dynamic boundary conditions, Commun. Appl. Anal., 5 (2001), 215-234. |
show all references
References:
| [1] |
T. Aiki, Multi-dimensional Stefan problems with dynamic boundary conditions, Applicable Analysis, Applicable Analysis, 56 (1995), 71-94.
doi: 10.1080/00036819508840311. |
| [2] |
T. Aiki, Multi-dimensional two-phase Stefan problems with nonlinear dynamic boundary conditions, in "Nonlinear Analysis and Applications," Gakuto International Series, Mathematical Sciences and Applications, Vol. 7, (1996), 1-25. |
| [3] |
T. Aiki, A mathematical model for a valve made of a spring of a shape memory alloy, in "Nonlinear Phenomena with Energy Dissipation, Mathematical Analysis, Modeling and Simulation," Gakuto International Series, Mathematical Sciences and Applications, Vol. 29, (2008), 1-18. |
| [4] |
K. T. Andrews, K. L. Kuttler and M. Shillor, Second order evolution equations with dynamic boundary conditions, J. Math. Anal. Appl., 197 (1996), 781-795.
doi: 10.1006/jmaa.1996.0053. |
| [5] |
M. Brokate and J. Sprekels, "Hysteresis and Phase Transitions," Appl. Math. Sci., 121, Springer-Verlag, New York, 1996. |
| [6] |
R. E. Langer, A problem in diffusion or in the flow of heat for a solid in contact with fluid, Tôhoku Math. J. Ser. 1, 35 (1932), 260-275. |
| [7] |
J. L. Lions, "Quelques Methods de Resolutions des Problems aux Limites Non Lineares," Dunod, Paris, 1969. |
| [8] |
N. Sato and T. Aiki, Phase field equations with constraints under nonlinear dynamic boundary conditions, Commun. Appl. Anal., 5 (2001), 215-234. |
| [1] |
Toyohiko Aiki. A free boundary problem for an elastic material. Conference Publications, 2007, 2007 (Special) : 10-17. doi: 10.3934/proc.2007.2007.10 |
| [2] |
Alessia Berti, Claudio Giorgi, Elena Vuk. Free energies and pseudo-elastic transitions for shape memory alloys. Discrete and Continuous Dynamical Systems - S, 2013, 6 (2) : 293-316. doi: 10.3934/dcdss.2013.6.293 |
| [3] |
Toyohiko Aiki. On the existence of a weak solution to a free boundary problem for a model of a shape memory alloy spring. Discrete and Continuous Dynamical Systems - S, 2012, 5 (1) : 1-13. doi: 10.3934/dcdss.2012.5.1 |
| [4] |
Donatella Danielli, Marianne Korten. On the pointwise jump condition at the free boundary in the 1-phase Stefan problem. Communications on Pure and Applied Analysis, 2005, 4 (2) : 357-366. doi: 10.3934/cpaa.2005.4.357 |
| [5] |
Michel Frémond, Elisabetta Rocca. A model for shape memory alloys with the possibility of voids. Discrete and Continuous Dynamical Systems, 2010, 27 (4) : 1633-1659. doi: 10.3934/dcds.2010.27.1633 |
| [6] |
Jiayue Zheng, Shangbin Cui. Bifurcation analysis of a tumor-model free boundary problem with a nonlinear boundary condition. Discrete and Continuous Dynamical Systems - B, 2020, 25 (11) : 4397-4410. doi: 10.3934/dcdsb.2020103 |
| [7] |
Xilu Wang, Xiaoliang Cheng. Continuous dependence and optimal control of a dynamic elastic-viscoplastic contact problem with non-monotone boundary conditions. Evolution Equations and Control Theory, 2022 doi: 10.3934/eect.2021064 |
| [8] |
Wenzhen Gan, Peng Zhou. A revisit to the diffusive logistic model with free boundary condition. Discrete and Continuous Dynamical Systems - B, 2016, 21 (3) : 837-847. doi: 10.3934/dcdsb.2016.21.837 |
| [9] |
Jesús Ildefonso Díaz, L. Tello. On a climate model with a dynamic nonlinear diffusive boundary condition. Discrete and Continuous Dynamical Systems - S, 2008, 1 (2) : 253-262. doi: 10.3934/dcdss.2008.1.253 |
| [10] |
Diego Grandi, Ulisse Stefanelli. The Souza-Auricchio model for shape-memory alloys. Discrete and Continuous Dynamical Systems - S, 2015, 8 (4) : 723-747. doi: 10.3934/dcdss.2015.8.723 |
| [11] |
Michela Eleuteri, Luca Lussardi, Ulisse Stefanelli. Thermal control of the Souza-Auricchio model for shape memory alloys. Discrete and Continuous Dynamical Systems - S, 2013, 6 (2) : 369-386. doi: 10.3934/dcdss.2013.6.369 |
| [12] |
Linxiang Wang, Roderick Melnik. Dynamics of shape memory alloys patches with mechanically induced transformations. Discrete and Continuous Dynamical Systems, 2006, 15 (4) : 1237-1252. doi: 10.3934/dcds.2006.15.1237 |
| [13] |
Shuji Yoshikawa, Irena Pawłow, Wojciech M. Zajączkowski. A quasilinear thermoviscoelastic system for shape memory alloys with temperature dependent specific heat. Communications on Pure and Applied Analysis, 2009, 8 (3) : 1093-1115. doi: 10.3934/cpaa.2009.8.1093 |
| [14] |
Tomáš Roubíček. Modelling of thermodynamics of martensitic transformation in shape-memory alloys. Conference Publications, 2007, 2007 (Special) : 892-902. doi: 10.3934/proc.2007.2007.892 |
| [15] |
Ferdinando Auricchio, Elena Bonetti. A new "flexible" 3D macroscopic model for shape memory alloys. Discrete and Continuous Dynamical Systems - S, 2013, 6 (2) : 277-291. doi: 10.3934/dcdss.2013.6.277 |
| [16] |
Barbora Benešová, Miroslav Frost, Lukáš Kadeřávek, Tomáš Roubíček, Petr Sedlák. An experimentally-fitted thermodynamical constitutive model for polycrystalline shape memory alloys. Discrete and Continuous Dynamical Systems - S, 2021, 14 (11) : 3925-3952. doi: 10.3934/dcdss.2020459 |
| [17] |
Yang Zhang. A free boundary problem of the cancer invasion. Discrete and Continuous Dynamical Systems - B, 2022, 27 (3) : 1323-1343. doi: 10.3934/dcdsb.2021092 |
| [18] |
Hayk Mikayelyan, Henrik Shahgholian. Convexity of the free boundary for an exterior free boundary problem involving the perimeter. Communications on Pure and Applied Analysis, 2013, 12 (3) : 1431-1443. doi: 10.3934/cpaa.2013.12.1431 |
| [19] |
Qi An, Chuncheng Wang, Hao Wang. Analysis of a spatial memory model with nonlocal maturation delay and hostile boundary condition. Discrete and Continuous Dynamical Systems, 2020, 40 (10) : 5845-5868. doi: 10.3934/dcds.2020249 |
| [20] |
Keng Deng, Zhihua Dong. Blow-up for the heat equation with a general memory boundary condition. Communications on Pure and Applied Analysis, 2012, 11 (5) : 2147-2156. doi: 10.3934/cpaa.2012.11.2147 |
2021 Impact Factor: 1.865
Tools
Metrics
Other articles
by authors
[Back to Top]