المؤلفون: Ait Yahia, Mohamed Mourad Lhannafi, Haddadou, Hamid

مصطلحات موضوعية: keyword:homogenization, keyword:$H$-convergence, keyword:perforated domain, keyword:linear elasticity, keyword:eigenvalue problem, msc:35B27, msc:35B40, msc:47A75, msc:74B05

وصف الملف: application/pdf

Relation: mr:MR4299881; zbl:07396174; reference:[1] Briane, M.: Homogenization in general periodically perforated domains by a spectral approach.Calc. Var. Partial Differ. Equ. 15 (2002), 1-24. Zbl 1028.35018, MR 1920712, 10.1007/s005260100115; reference:[2] Briane, M., Damlamian, A., Donato, P.: $H$-convergence in perforated domains.Nonlinear Partial Differential Equations and Their Applications Pitman Research Notes in Mathematics Series 391. Longman, Harlow (1998), 62-100. Zbl 0943.35005, MR 1773075; reference:[3] Cancedda, A.: Spectral homogenization for a Robin-Neumann problem.Boll. Unione Mat. Ital. 10 (2017), 199-222. Zbl 1377.35092, MR 3655025, 10.1007/s40574-016-0075-z; reference:[4] Cioranescu, D., Paulin, J. Saint Jean: Homogenization of Reticuled Structures.Applied Mathematical Sciences 136. Springer, New York (1999). Zbl 0929.35002, MR 1676922, 10.1007/978-1-4612-2158-6; reference:[5] Damlamian, A., Donato, P.: Which sequences of holes are admissible for periodic homogenization with Neumann boundary condition?.ESAIM, Control Optim. Calc. Var. 8 (2002), 555-585. Zbl 1073.35020, MR 1932963, 10.1051/cocv:2002046; reference:[6] Douanla, H.: Homogenization of Steklov spectral problems with indefinite density function in perforated domains.Acta Appl. Math. 123 (2013), 261-284. Zbl 1263.35022, MR 3010234, 10.1007/s10440-012-9765-4; reference:[7] Hajji, M. El: Homogenization of linearized elasticity systems with traction condition in perforated domains.Electron. J. Differ. Equ. 1999 (1999), Article ID 41, 11 pages. Zbl 0952.74060, MR 1713600; reference:[8] Hajji, M. El, Donato, P.: $H^0$-convergence for the linearized elasticity system.Asymptotic Anal. 21 (1999), 161-186. Zbl 0942.74057, MR 1723547; reference:[9] Francfort, G. A., Murat, F.: Homogenization and optimal bounds in linear elasticity.Arch. Ration. Mech. Anal. 94 (1986), 307-334. Zbl 0604.73013, MR 0846892, 10.1007/BF00280908; reference:[10] Georgelin, C.: Contribution à l'étude de quelques problèmes en élasticité tridimensionnelle: Thèse de Doctorat.Université de Paris IV, Paris (1989), French.; reference:[11] Haddadou, H.: Iterated homogenization for the linearized elasticity by $H^{0}_{e}$-convergence.Ric. Mat. 54 (2005), 137-163. Zbl 1387.35034, MR 2290210; reference:[12] Haddadou, H.: A property of the $H$-convergence for elasticity in perforated domains.Electron. J. Differ. Equ. 137 (2006), Article ID 137, 11 pages. Zbl 1128.35017, MR 2276562; reference:[13] Jikov, V. V., Kozlov, S. M., Oleinik, O. A.: Homogenization of Differential Operators and Integral Functionals.Springer, Berlin (1994). Zbl 0838.35001, MR 1329546, 10.1007/978-3-642-84659-5; reference:[14] Kesavan, S.: Homogenization of elliptic eigenvalue problems I.Appl. Math. Optim. 5 (1979), 153-167. Zbl 0415.35061, MR 0533617, 10.1007/BF01442551; reference:[15] Léné, F.: Comportement macroscopique de matériaux élastiques comportant des inclusions rigides ou des trous répartis périodiquement.C. R. Acad. Sci., Paris, Sér. A 286 (1978), 75-78 French. Zbl 0372.73001, MR 0486458; reference:[16] Murat, F., Tartar, L.: $H$-convergence.Topics in the Mathematical Modelling of Composite Materials Progress in Nonlinear Differential Equations and Their Applications 31. Birkhäuser, Boston (1997), 21-43. Zbl 0920.35019, MR 1493039, 10.1007/978-1-4612-2032-9_3; reference:[17] Nandakumar, A. K.: Homogenization of eigenvalue problems of elasticity in perforated domains.Asymptotic Anal. 9 (1994), 337-358. Zbl 0814.35135, MR 1301169, 10.3233/ASY-1994-9403; reference:[18] Oleinik, O. A., Shamaev, A. S., Yosifian, G. A.: Mathematical Problems in Elasticity and Homogenization.Studies in Mathematics and Its Applications 26. North-Holland, Amsterdam (1992). Zbl 0768.73003, MR 1195131, 10.1016/s0168-2024(08)x7009-2; reference:[19] Spagnolo, S.: Sulla convergenza di soluzioni di equazioni paraboliche ed ellittiche.Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 22 (1968), 571-597 Italian. Zbl 0174.42101, MR 0240443; reference:[20] Suslina, T. A.: Spectral approach to homogenization of elliptic operators in a perforated space.Rev. Math. Phys. 30 (2018), Article ID 1840016, 57 pages. Zbl 1411.35029, MR 3846431, 10.1142/S0129055X18400160; reference:[21] Tartar, L.: Problèmes d'homogénéisation dans les équations aux dérivées partielles.Cours Peccot, Collège de France, Paris (1977), French.; reference:[22] Tartar, L.: The General Theory of Homogenization: A Personalized Introduction.Lecture Notes of the Unione Matematica Italiana 7. Springer, Berlin (2009). Zbl 1188.35004, MR 2582099, 10.1007/978-3-642-05195-1; reference:[23] Vanninathan, M.: Homogenization of eigenvalue problems in perforated domains.Proc. Indian Acad. Sci., Math. Sci. 90 (1981), 239-271. Zbl 0486.35063, MR 0635561, 10.1007/BF02838079

الاتاحة: http://hdl.handle.net/10338.dmlcz/149079

المؤلفون: Valášek, Jan, Sváček, Petr, Horáček, Jaromír

مصطلحات موضوعية: keyword:flow-induced vibration, keyword:2D incompressible Navier-Stokes equations, keyword:linear elasticity, keyword:inlet boundary conditions, keyword:flutter instability, msc:65N12, msc:65N30, msc:76D05

وصف الملف: application/pdf

Relation: mr:MR3936969; zbl:Zbl 07088738; reference:[1] Babuška, I.: The finite element method with penalty.Math. Comput. 27 (1973), 221-228. Zbl 0299.65057, MR 0351118, 10.2307/2005611; reference:[2] Bodnár, T., Galdi, G. P., Nečasová, Š., (eds.): Fluid-Structure Interaction and Biomedical Applications.Advances in Mathematical Fluid Mechanics, Birkhäuser/Springer, Basel (2014). Zbl 1300.76003, MR 3223031, 10.1007/978-3-0348-0822-4; reference:[3] Braack, M., Mucha, P. B.: Directional do-nothing condition for the Navier-Stokes equations.J. Comput. Math. 32 (2014), 507-521. Zbl 1324.76015, MR 3258025, 10.4208/jcm.1405-4347; reference:[4] Curnier, A.: Computational Methods in Solid Mechanics.Solid Mechanics and Its Applications 29 Kluwer Academic Publishers Group, Dordrecht (1994). Zbl 0815.73003, MR 1311022, 10.1007/978-94-011-1112-6; reference:[5] Daily, D. J., Thomson, S. L.: Acoustically-coupled flow-induced vibration of a computational vocal fold model.Comput. 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الاتاحة: http://hdl.handle.net/10338.dmlcz/147662

المؤلفون: Heinemann, Christian, Kraus, Christiane

مصطلحات موضوعية: keyword:Cahn-Hilliard system, keyword:phase separation, keyword:complete damage, keyword:elliptic-parabolic degenerating system, keyword:linear elasticity, keyword:energetic solution, keyword:weak solution, keyword:doubly nonlinear differential inclusion, keyword:existence result, keyword:rate-dependent system, msc:34A12, msc:35A01, msc:35D30, msc:35J50, msc:35K55, msc:35K65, msc:35K85, msc:35K92, msc:35M30, msc:49S05, msc:74A45, msc:74G25, msc:82B26

وصف الملف: application/pdf

Relation: mr:MR3238842; zbl:Zbl 06362261; reference:[1] Bartkowiak, L., Pawłow, I.: The Cahn-Hilliard-Gurtin system coupled with elasticity.Control Cybern. 34 1005-1043 (2005). Zbl 1119.35099, MR 2256463; reference:[2] Bonetti, E., Colli, P., Dreyer, W., Gilardi, G., Schimperna, G., Sprekels, J.: On a model for phase separation in binary alloys driven by mechanical effects.Physica D 165 48-65 (2002). Zbl 1008.74066, MR 1910617, 10.1016/S0167-2789(02)00373-1; reference:[3] Bonetti, E., Schimperna, G., Segatti, A.: On a doubly nonlinear model for the evolution of damaging in viscoelastic materials.J. Differ. Equations 218 91-116 (2005). Zbl 1078.74048, MR 2174968, 10.1016/j.jde.2005.04.015; reference:[4] Bouchitté, G., Mielke, A., Roubíček, T.: A complete-damage problem at small strains.Z. Angew. Math. Phys. 60 205-236 (2009). Zbl 1238.74005, MR 2486153, 10.1007/s00033-007-7064-0; reference:[5] Carrive, M., Miranville, A., Piétrus, A.: The Cahn-Hilliard equation for deformable elastic continua.Adv. Math. Sci. Appl. 10 539-569 (2000). Zbl 0987.35156, MR 1807441; reference:[6] Frémond, M., Nedjar, B.: Damage, gradient of damage and principle of virtual power.Int. J. Solids Struct. 33 1083-1103 (1996). MR 1370124, 10.1016/0020-7683(95)00074-7; reference:[7] Garcke, H.: On Mathematical Models for Phase Separation in Elastically Stressed Solids. Habilitation thesis.University Bonn (2000).; reference:[8] Gurtin, M. E.: Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance.Physica D 92 178-192 (1996). Zbl 0885.35121, MR 1387065, 10.1016/0167-2789(95)00173-5; reference:[9] Heinemann, C., Kraus, C.: Existence of weak solutions for Cahn-Hilliard systems coupled with elasticity and damage.Adv. Math. Sci. Appl. 21 321-359 (2011). Zbl 1253.35179, MR 2953122; reference:[10] Heinemann, C., Kraus, C.: Existence results for diffuse interface models describing phase separation and damage.Eur. J. Appl. Math. 24 179-211 (2013). Zbl 1290.35265, MR 3031777, 10.1017/S095679251200037X; reference:[11] Heinemann, C., Kraus, C.: A degenerating Cahn-Hilliard system coupled with complete damage processes.WIAS preprint no. 1759, 23 pages (2012). MR 3280841; reference:[12] Knees, D., Rossi, R., Zanini, C.: A vanishing viscosity approach to a rate-independent damage model.Math. Models Methods Appl. Sci. 23 565-616 (2013). Zbl 1262.74030, MR 3021776, 10.1142/S021820251250056X; reference:[13] Mielke, A.: Complete-damage evolution based on energies and stresses.Discrete Contin. Dyn. Syst., Ser. S 4 423-439 (2011). Zbl 1209.74010, MR 2746382, 10.3934/dcdss.2011.4.423; reference:[14] Mielke, A., Roubíček, T., Zeman, J.: Complete damage in elastic and viscoelastic media and its energetics.Comput. Methods Appl. Mech. Eng. 199 1242-1253 (2010). Zbl 1227.74058, MR 2601392, 10.1016/j.cma.2009.09.020; reference:[15] Nor, F. M., Keat, L. W., Kamsah, N., Tamin, M. N.: Damage mechanics model for interface fracture process in solder interconnects.10th Electronics Packaging Technology Conference 821-827 (2008).; reference:[16] Rocca, E., Rossi, R.: A degenerating PDE system for phase transitions and damage.Math. Models Methods Appl. Sci., arXiv:1205.3578v1 (2012), 53 pages. MR 3192591; reference:[17] Thomas, M., Mielke, A.: Damage of nonlinearly elastic materials at small strain-existence and regularity results.ZAMM, Z. Angew. Math. Mech. 90 88-112 (2010). Zbl 1191.35159, MR 2640367, 10.1002/zamm.200900243

الاتاحة: http://hdl.handle.net/10338.dmlcz/143857

المؤلفون: Ainsworth, Mark, Mihai, L. Angela

مصطلحات موضوعية: keyword:linear elasticity, keyword:equilibrium problems, keyword:variational inequality, keyword:complementarity problems, keyword:masonry structures, msc:49J40, msc:74B10, msc:74G15, msc:74L99, msc:90C33

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/134633

المؤلفون: Hünlich, Rolf, Naumann, Joachim

مصطلحات موضوعية: keyword:boundary value problems, keyword:linear elasticity, keyword:law of interaction, keyword:principle of virtual displacements, keyword:principal of minimum potential energy, msc:35Q20, msc:46N05, msc:73C35, msc:74B99, msc:74H99

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/103746