Gulua, Bakur On hierarchical models of elastic shallow shells with voids. (English) Zbl 07819094 Cerejeiras, Paula (ed.) et al., Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 – August 3, 2019. Cham: Birkhäuser. Trends Math., 41-49 (2022). MSC: 74K25 74F05 PDFBibTeX XMLCite \textit{B. Gulua}, in: Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 -- August 3, 2019. Cham: Birkhäuser. 41--49 (2022; Zbl 07819094) Full Text: DOI
Aouadi, Moncef; Bettaieb, Mohamed Ben; Abed-Meraim, Farid Analyticity of solutions to thermo-elastic-plastic flow problem with microtemperatures. (English) Zbl 07813191 ZAMM, Z. Angew. Math. Mech. 101, No. 11, Article ID e202000346, 33 p. (2021). MSC: 74Axx 74Fxx 35Qxx PDFBibTeX XMLCite \textit{M. Aouadi} et al., ZAMM, Z. Angew. Math. Mech. 101, No. 11, Article ID e202000346, 33 p. (2021; Zbl 07813191) Full Text: DOI
Nikabadze, M.; Ulukhanyan, A. On the theory of multilayer thin bodies. (English) Zbl 1472.74153 Lobachevskii J. Math. 42, No. 8, 1900-1911 (2021). MSC: 74K99 74E30 74F05 74S99 PDFBibTeX XMLCite \textit{M. Nikabadze} and \textit{A. Ulukhanyan}, Lobachevskii J. Math. 42, No. 8, 1900--1911 (2021; Zbl 1472.74153) Full Text: DOI
Vashakmadze, Tamaz On the theory and practice of thin-walled structures. (English) Zbl 1469.30101 Georgian Math. J. 28, No. 3, 483-498 (2021). MSC: 30G20 74B20 PDFBibTeX XMLCite \textit{T. Vashakmadze}, Georgian Math. J. 28, No. 3, 483--498 (2021; Zbl 1469.30101) Full Text: DOI arXiv
Bitsadze, Lamara Explicit solutions of the BVPs of the theory of thermoelasticity for an elastic circle with voids and microtemperatures. (English) Zbl 07812898 ZAMM, Z. Angew. Math. Mech. 100, No. 10, Article ID e201800303, 13 p. (2020). MSC: 74G05 74F10 74F05 74F99 PDFBibTeX XMLCite \textit{L. Bitsadze}, ZAMM, Z. Angew. Math. Mech. 100, No. 10, Article ID e201800303, 13 p. (2020; Zbl 07812898) Full Text: DOI
Avalishvili, Gia; Avalishvili, Mariam On static two-dimensional models of thermo-electro-magneto-elastic shells. (English) Zbl 1473.74090 Altenbach, Holm (ed.) et al., Analysis of shells, plates, and beams. A state of the art report. Dedicated to George Jaiani on the occasion of his 75th birthday. Cham: Springer. Adv. Struct. Mater. 134, 41-64 (2020). MSC: 74K25 74F15 74F05 74G22 74G30 35Q74 PDFBibTeX XMLCite \textit{G. Avalishvili} and \textit{M. Avalishvili}, Adv. Struct. Mater. 134, 41--64 (2020; Zbl 1473.74090) Full Text: DOI
Bitsadze, Lamara Explicit solution of one boundary value problem of thermoelasticity for a circle with diffusion, microtemperatures, and microconcentrations. (English) Zbl 1451.74095 Acta Mech. 231, No. 9, 3551-3563 (2020). MSC: 74H05 74F10 74F05 PDFBibTeX XMLCite \textit{L. Bitsadze}, Acta Mech. 231, No. 9, 3551--3563 (2020; Zbl 1451.74095) Full Text: DOI
Marchuk, Mykhaylo; Tuchapskyy, Roman; Nespliak, Dmytro Numerical use of \(\{m,n\}\)-approximation method thermoelastic anisotropic thin shell theory equations represented in a special form. (English) Zbl 1442.65385 Comput. Math. Appl. 77, No. 10, 2740-2763 (2019). MSC: 65N30 74K25 80A19 PDFBibTeX XMLCite \textit{M. Marchuk} et al., Comput. Math. Appl. 77, No. 10, 2740--2763 (2019; Zbl 1442.65385) Full Text: DOI
Avalishvili, Gia; Avalishvili, Mariam On approximation of three-dimensional model of thermoelastic piezoelectric plates by two-dimensional problems. (English) Zbl 1431.35197 Bull. Georgian Natl. Acad. Sci. (N.S.) 12, No. 4, 23-30 (2018). MSC: 35Q74 74F15 74K20 74F05 74B05 PDFBibTeX XMLCite \textit{G. Avalishvili} and \textit{M. Avalishvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 12, No. 4, 23--30 (2018; Zbl 1431.35197) Full Text: Link
Bitsadze, Lamara On one BVP for a thermo-microstretch elastic space with spherical cavity. (English) Zbl 1424.74027 Turk. J. Math. 42, No. 5, 2101-2111 (2018). MSC: 74G05 74F05 74F99 PDFBibTeX XMLCite \textit{L. Bitsadze}, Turk. J. Math. 42, No. 5, 2101--2111 (2018; Zbl 1424.74027) Full Text: DOI Link
Chinchaladze, Natalia On a vibration problem of antiplane strain (shear) of orthotropic non-homogeneous prismatic shell-like bodies. (English) Zbl 1451.74157 Complex Var. Elliptic Equ. 63, No. 6, 886-895 (2018). MSC: 74K25 74H45 74E05 PDFBibTeX XMLCite \textit{N. Chinchaladze}, Complex Var. Elliptic Equ. 63, No. 6, 886--895 (2018; Zbl 1451.74157) Full Text: DOI
Tovstik, Petr E.; Tovstik, Tatiana P. Generalized Timoshenko-Reissner models for beams and plates, strongly heterogeneous in the thickness direction. (English) Zbl 07775170 ZAMM, Z. Angew. Math. Mech. 97, No. 3, 296-308 (2017). MSC: 74Kxx 74Gxx 74-XX PDFBibTeX XMLCite \textit{P. E. Tovstik} and \textit{T. P. Tovstik}, ZAMM, Z. Angew. Math. Mech. 97, No. 3, 296--308 (2017; Zbl 07775170) Full Text: DOI
Chinchaladze, N.; Jaiani, G. Antiplane strain (shear) of orthotropic non-homogeneous prismatic shell-like bodies. (English) Zbl 1391.74042 Arch. Mech. 69, No. 4-5, 305-316 (2017). MSC: 74E10 74B05 74E05 74H45 PDFBibTeX XMLCite \textit{N. Chinchaladze} and \textit{G. Jaiani}, Arch. Mech. 69, No. 4--5, 305--316 (2017; Zbl 1391.74042) Full Text: Link
Jaiani, George; Bitsadze, Lamara On basic problems for elastic prismatic shells with microtemperatures. (English) Zbl 07775091 ZAMM, Z. Angew. Math. Mech. 96, No. 9, 1082-1088 (2016). MSC: 74F05 74A60 74K20 74K25 35Q74 PDFBibTeX XMLCite \textit{G. Jaiani} and \textit{L. Bitsadze}, ZAMM, Z. Angew. Math. Mech. 96, No. 9, 1082--1088 (2016; Zbl 07775091) Full Text: DOI
Jaiani, George A model of layered prismatic shells. (English) Zbl 1365.74114 Contin. Mech. Thermodyn. 28, No. 3, 765-784 (2016). MSC: 74K25 PDFBibTeX XMLCite \textit{G. Jaiani}, Contin. Mech. Thermodyn. 28, No. 3, 765--784 (2016; Zbl 1365.74114) Full Text: DOI
Jaiani, George On micropolar elastic cusped prismatic shells. (English) Zbl 1432.74132 Trans. A. Razmadze Math. Inst. 170, No. 3, 376-384 (2016). MSC: 74K25 PDFBibTeX XMLCite \textit{G. Jaiani}, Trans. A. Razmadze Math. Inst. 170, No. 3, 376--384 (2016; Zbl 1432.74132) Full Text: DOI
Tuchapskyy, R. I. The equations of thin anisotropic elastic revolution shells of the \({m, n}\)-approximation method. (Ukrainian, English) Zbl 1363.74062 Mat. Metody Fiz.-Mekh. Polya 58, No. 3, 43-56 (2015); translation in J. Math. Sci., New York 226, No. 1, 52-68 (2017). Reviewer: V. G. Karnaukhov (Kyïv) MSC: 74K25 74E10 74K35 PDFBibTeX XMLCite \textit{R. I. Tuchapskyy}, Mat. Metody Fiz.-Mekh. Polya 58, No. 3, 43--56 (2015; Zbl 1363.74062); translation in J. Math. Sci., New York 226, No. 1, 52--68 (2017) Full Text: DOI
Jaiani, George Differential hierarchical models for elastic prismatic shells with microtemperatures. (English) Zbl 1322.74050 ZAMM, Z. Angew. Math. Mech. 95, No. 1, 77-90 (2015). MSC: 74K25 74F05 74B05 PDFBibTeX XMLCite \textit{G. Jaiani}, ZAMM, Z. Angew. Math. Mech. 95, No. 1, 77--90 (2015; Zbl 1322.74050) Full Text: DOI
Altenbach, Holm; Eremeyev, Victor A. On the theories of plates and shells at the nanoscale. (English) Zbl 1308.74089 Altenbach, Holm (ed.) et al., Shell and membrane theories in mechanics and biology. From macro- to nanoscale structures. Selected papers based on the presentations at the first international conference, SMT in MB 2013, Minsk, Belarus, September 16–20, 2013. Cham: Springer (ISBN 978-3-319-02534-6/hbk; 978-3-319-02535-3/ebook). Advanced Structured Materials 45, 25-57 (2015). MSC: 74K20 74K25 82D80 74M25 PDFBibTeX XMLCite \textit{H. Altenbach} and \textit{V. A. Eremeyev}, Adv. Struct. Mater. 45, 25--57 (2015; Zbl 1308.74089) Full Text: DOI Link
Blanco, Pablo J.; Giusti, Sebastián M. Thermomechanical multiscale constitutive modeling: accounting for microstructural thermal effects. (English) Zbl 1357.74005 J. Elasticity 115, No. 1, 27-46 (2014). MSC: 74A20 49J45 74A60 74Q15 49S05 74F05 PDFBibTeX XMLCite \textit{P. J. Blanco} and \textit{S. M. Giusti}, J. Elasticity 115, No. 1, 27--46 (2014; Zbl 1357.74005) Full Text: DOI
Zhavoronok, Sergey I. A Vekua-type linear theory of thick elastic shells. (English) Zbl 1432.74141 ZAMM, Z. Angew. Math. Mech. 94, No. 1-2, 164-184 (2014). MSC: 74K25 74B05 74E10 PDFBibTeX XMLCite \textit{S. I. Zhavoronok}, ZAMM, Z. Angew. Math. Mech. 94, No. 1--2, 164--184 (2014; Zbl 1432.74141) Full Text: DOI
Chinchaladze, N. Harmonic vibration of cusped plates in the \(N\)-th approximation of Vekua’s hierarchical models. (English) Zbl 1446.74131 Arch. Mech. 65, No. 5, 345-365 (2013). MSC: 74H45 74K20 PDFBibTeX XMLCite \textit{N. Chinchaladze}, Arch. Mech. 65, No. 5, 345--365 (2013; Zbl 1446.74131) Full Text: Link
Kharibegashvili, S.; Natroshvili, D. Investigation of hyperbolic systems with order degeneration arising in I. Vekua’s hierarchical models. (English) Zbl 1292.74025 Appl. Anal. 92, No. 12, 2508-2525 (2013). MSC: 74K20 35L53 35L80 PDFBibTeX XMLCite \textit{S. Kharibegashvili} and \textit{D. Natroshvili}, Appl. Anal. 92, No. 12, 2508--2525 (2013; Zbl 1292.74025) Full Text: DOI
Chinchaladze, Natalia; Gilbert, Robert Harmonic vibration of prismatic shells in zero approximation of Vekua’s hierarchical models. (English) Zbl 1292.74023 Appl. Anal. 92, No. 11, 2275-2287 (2013). MSC: 74K20 35J70 PDFBibTeX XMLCite \textit{N. Chinchaladze} and \textit{R. Gilbert}, Appl. Anal. 92, No. 11, 2275--2287 (2013; Zbl 1292.74023) Full Text: DOI
Chinchaladze, N.; Gilbert, R. P.; Jaiani, G.; Kharibegashvili, S.; Natroshvili, D. Initial-boundary value problems for solid-fluid composite structures. (English) Zbl 1448.74032 Z. Angew. Math. Phys. 63, No. 4, 625-653 (2012). MSC: 74F10 74K25 76D07 PDFBibTeX XMLCite \textit{N. Chinchaladze} et al., Z. Angew. Math. Phys. 63, No. 4, 625--653 (2012; Zbl 1448.74032) Full Text: DOI
Chinchaladze, N.; Jaiani, G.; Maistrenko, B.; Podio-Guidugli, P. Concentrated contact interactions in cuspidate prismatic shell-like bodies. (English) Zbl 1271.74355 Arch. Appl. Mech. 81, No. 10, 1487-1505 (2011). MSC: 74M15 74B05 PDFBibTeX XMLCite \textit{N. Chinchaladze} et al., Arch. Appl. Mech. 81, No. 10, 1487--1505 (2011; Zbl 1271.74355) Full Text: DOI
Chinchaladze, N.; Gilbert, R. P.; Jaiani, G.; Kharibegashvili, S.; Natroshvili, D. Cusped elastic beams under the action of stresses and concentrated forces. (English) Zbl 1423.74462 Appl. Anal. 89, No. 5, 757-774 (2010). MSC: 74K10 35L80 PDFBibTeX XMLCite \textit{N. Chinchaladze} et al., Appl. Anal. 89, No. 5, 757--774 (2010; Zbl 1423.74462) Full Text: DOI
Jaiani, G.; Chinchaladze, N. Cylindrical bending of a cusped plate with big deflections. (English. Russian original) Zbl 1180.35515 J. Math. Sci., New York 157, No. 1, 52-69 (2009); translation from Sovrem. Mat. Prilozh. 51 (2008). MSC: 35Q74 74K20 35J25 34B05 35A01 35A02 PDFBibTeX XMLCite \textit{G. Jaiani} and \textit{N. Chinchaladze}, J. Math. Sci., New York 157, No. 1, 52--69 (2009; Zbl 1180.35515); translation from Sovrem. Mat. Prilozh. 51 (2008) Full Text: DOI
Gordeziani, D.; Avalishili, M.; Avalishili, G. Dynamical two-dimensional models of solid-fluid interaction. (English. Russian original) Zbl 1180.35513 J. Math. Sci., New York 157, No. 1, 16-42 (2009); translation from Sovrem. Mat. Prilozh. 51 (2008). MSC: 35Q74 35Q35 74F10 37N10 37N15 35A15 PDFBibTeX XMLCite \textit{D. Gordeziani} et al., J. Math. Sci., New York 157, No. 1, 16--42 (2009; Zbl 1180.35513); translation from Sovrem. Mat. Prilozh. 51 (2008) Full Text: DOI
Altenbach, Holm Analysis of homogeneous and non-homogeneous plates. (English) Zbl 1298.74142 de Borst, René (ed.) et al., Lecture notes on composite materials. Current topics and achievements. Dordrecht: Springer (ISBN 978-1-4020-8771-4/hbk; 978-1-4020-8772-1/ebook). Solid Mechanics and Its Applications 154, 1-36 (2008). MSC: 74K20 74E05 PDFBibTeX XMLCite \textit{H. Altenbach}, Solid Mech. Appl. 154, 1--36 (2008; Zbl 1298.74142) Full Text: DOI
Jaiani, George On physical and mathematical moments and the setting of boundary conditions for cusped prismatic shells and beams. (English) Zbl 1208.74083 Jaiani, George (ed.) et al., IUTAM symposium on relations of shell, plate, beam and 3D models. Proceedings of the IUTAM symposium on the relations of shell, plate, beam, and 3D models, dedicated to the centenary of Ilia Vekua’s birth, held Tbilisi, Georgia, April 23–27, 2007. Dordrecht: Springer (ISBN 978-1-4020-8773-8/hbk). IUTAM Bookseries 9, 133-146 (2008). MSC: 74K25 74K10 PDFBibTeX XMLCite \textit{G. Jaiani}, IUTAM Bookser. 9, 133--146 (2008; Zbl 1208.74083) Full Text: DOI
Chinchaladze, Natalia Vibration of an elastic plate under the action of an incompressible fluid. (English) Zbl 1208.74053 Jaiani, George (ed.) et al., IUTAM symposium on relations of shell, plate, beam and 3D models. Proceedings of the IUTAM symposium on the relations of shell, plate, beam, and 3D models, dedicated to the centenary of Ilia Vekua’s birth, held Tbilisi, Georgia, April 23–27, 2007. Dordrecht: Springer (ISBN 978-1-4020-8773-8/hbk). IUTAM Bookseries 9, 77-90 (2008). MSC: 74H45 74K20 74F10 PDFBibTeX XMLCite \textit{N. Chinchaladze}, IUTAM Bookser. 9, 77--90 (2008; Zbl 1208.74053) Full Text: DOI
Chinchaladze, N.; Gilbert, R. P.; Jaiani, G.; Kharibegashvili, S.; Natroshvili, D. Existence and uniqueness theorems for cusped prismatic shells in the \(N\)th hierarchical model. (English) Zbl 1140.74016 Math. Methods Appl. Sci. 31, No. 11, 1345-1367 (2008). MSC: 74K25 74G25 74G30 35Q72 PDFBibTeX XMLCite \textit{N. Chinchaladze} et al., Math. Methods Appl. Sci. 31, No. 11, 1345--1367 (2008; Zbl 1140.74016) Full Text: DOI
Jaiani, George On a nonlocal boundary value problem for a system of singular differential equations. (English) Zbl 1135.35006 Appl. Anal. 87, No. 1, 83-97 (2008). MSC: 35A20 35J70 74K20 74K25 PDFBibTeX XMLCite \textit{G. Jaiani}, Appl. Anal. 87, No. 1, 83--97 (2008; Zbl 1135.35006) Full Text: DOI
Gordeziani, D.; Avalishvili, G.; Avalishvili, M. Hierarchical models of elastic shells in curvilinear coordinates. (English) Zbl 1132.74027 Comput. Math. Appl. 51, No. 12, 1789-1808 (2006). MSC: 74K25 74G25 74G30 35Q72 PDFBibTeX XMLCite \textit{D. Gordeziani} et al., Comput. Math. Appl. 51, No. 12, 1789--1808 (2006; Zbl 1132.74027) Full Text: DOI
Jaiani, G.; Kharibegashvili, S.; Natroshvili, D.; Wendland, W. L. Two-dimensional hierarchical models for prismatic shells with thickness vanishing at the boundary. (English) Zbl 1076.74038 J. Elasticity 77, No. 2, 95-122 (2004). MSC: 74K25 74G25 74G30 74G65 35Q72 PDFBibTeX XMLCite \textit{G. Jaiani} et al., J. Elasticity 77, No. 2, 95--122 (2004; Zbl 1076.74038) Full Text: DOI