Refined Equations of the Sandwich Shells Theory with Composite External Layers and a Transverse Soft Core at Average Bending
In the development of previously obtained results for the case of average bending, a refined geometrically nonlinear theory of static and dynamic deformation of sandwich plates and shells with a transversely soft core and external composite layers with low rigidity for transverse shears and transver...
Saved in:
Published in | Lobachevskii journal of mathematics Vol. 40; no. 11; pp. 1904 - 1914 |
---|---|
Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Moscow
Pleiades Publishing
01.11.2019
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
Cover
Loading…
Abstract | In the development of previously obtained results for the case of average bending, a refined geometrically nonlinear theory of static and dynamic deformation of sandwich plates and shells with a transversely soft core and external composite layers with low rigidity for transverse shears and transverse compression was constructed. It is based on the use of the refined Tymoshenko’s shear model for the carrier layers, taking into account lateral reduction, and for the transversally soft core, the simplified three-dimensional equations of the elasticity theory, which can be integrated along the transverse coordinate. The hypothesis of the similarity of the change laws of displacements across the thickness of the core during its static and dynamic deformation processes was adopted. When integrating the compiled equations of the elasticity theory to describe the stress-strain state, the two two-dimensional unknown functions are introduced that represent transverse shear stresses that are constant in thickness. Based on the generalized Lagrange and Ostrogradsky Hamilton variational principles for describing static and dynamic deformation processes with large indicators of the variability of the stress-strain state parameters, two-dimensional geometrically nonlinear equilibrium equations and general movements are constructed, which allow to reveal purely shear of buckling forms of the carrier layers during formation normal compressive stresses. |
---|---|
AbstractList | In the development of previously obtained results for the case of average bending, a refined geometrically nonlinear theory of static and dynamic deformation of sandwich plates and shells with a transversely soft core and external composite layers with low rigidity for transverse shears and transverse compression was constructed. It is based on the use of the refined Tymoshenko’s shear model for the carrier layers, taking into account lateral reduction, and for the transversally soft core, the simplified three-dimensional equations of the elasticity theory, which can be integrated along the transverse coordinate. The hypothesis of the similarity of the change laws of displacements across the thickness of the core during its static and dynamic deformation processes was adopted. When integrating the compiled equations of the elasticity theory to describe the stress-strain state, the two two-dimensional unknown functions are introduced that represent transverse shear stresses that are constant in thickness. Based on the generalized Lagrange and Ostrogradsky Hamilton variational principles for describing static and dynamic deformation processes with large indicators of the variability of the stress-strain state parameters, two-dimensional geometrically nonlinear equilibrium equations and general movements are constructed, which allow to reveal purely shear of buckling forms of the carrier layers during formation normal compressive stresses. |
Author | Paimushin, V. N. Shihov, M. A. Badriev, I. B. |
Author_xml | – sequence: 1 givenname: I. B. surname: Badriev fullname: Badriev, I. B. email: ildar.badriev1@mail.ru organization: Kazan (Volga Region) Federal University, Institute of Computational Mathematics and Information Technologies – sequence: 2 givenname: V. N. surname: Paimushin fullname: Paimushin, V. N. email: vpajmushin@mail.ru organization: Kazan (Volga Region) Federal University, Institute of Computational Mathematics and Information Technologies, Kazan Tupolev National Research Technical University-KAI, Institute of Aviation, Land Vehicles and Energetics – sequence: 3 givenname: M. A. surname: Shihov fullname: Shihov, M. A. email: maxim.shishov@mail.ru organization: Kazan Tupolev National Research Technical University-KAI, Institute of Aviation, Land Vehicles and Energetics |
BookMark | eNp1UFtLwzAUDqLgNv0BvgV8ruakbdo-zjEvMBDcfC5pc7p2dMmWZM6BP96MCT6IT-fyXTjnG5JzbTQScgPsDiBO7udQFCnLGYcCgLFMnJEB5JBHRSH4eegDHB3xSzJ0bsUY50KIAfl6w6bTqOh0u5O-M9pR01DfIp1LrfZd3dJ5i33v6KJFYw903_mWTsx6Y1znkU4_PVotezqTB7SOBhGVdGGldh9hDjam8YFvkUpPx2Enl0gfUKtOL6_IRSN7h9c_dUTeH6eLyXM0e316mYxnUc1F7iOu8kZhjlBVsQRVJXElwoe1yrIEU-BFBQ2TPE6SCtK0kHXMYykLUWeJSJVS8Yjcnnw31mx36Hy5Mrvj1a7kMeR5SJCxwIITq7bGOYtNubHdWtpDCaw8hlz-CTlo-EnjAlcv0f46_y_6BmYlgIk |
Cites_doi | 10.1088/1757-899X/158/1/012011 10.1134/S1995080216050115 10.1007/BF02371282 10.1016/0045-7949(83)90141-4 10.1007/BF02259468 10.1088/1757-899X/208/1/012002 10.1115/1.3101923 10.1134/S1028335812110092 10.1051/matecconf/201712902042 10.1016/S0263-8223(99)00098-7 10.1134/S1995080217050055 10.1134/S1995080219030041 10.1134/S1995080218030046 10.1134/S1995080219030156 10.1007/BF00611810 10.1134/S199508021504023X 10.1007/BF00616212 10.15593/perm.mech/2017.1.03 10.1007/978-3-540-88467-5 10.1016/0022-5096(93)90068-Q |
ContentType | Journal Article |
Copyright | Pleiades Publishing, Ltd. 2019 Copyright Springer Nature B.V. 2019 |
Copyright_xml | – notice: Pleiades Publishing, Ltd. 2019 – notice: Copyright Springer Nature B.V. 2019 |
DBID | AAYXX CITATION |
DOI | 10.1134/S1995080219110076 |
DatabaseName | CrossRef |
DatabaseTitle | CrossRef |
DatabaseTitleList | |
DeliveryMethod | fulltext_linktorsrc |
Discipline | Mathematics |
EISSN | 1818-9962 |
EndPage | 1914 |
ExternalDocumentID | 10_1134_S1995080219110076 |
GroupedDBID | -5D -5G -BR -EM -Y2 -~9 -~C .VR 06D 0R~ 0VY 1N0 29L 2J2 2JN 2JY 2KG 2KM 2LR 2VQ 2WC 2~H 30V 4.4 408 40D 40E 5GY 5IG 5VS 642 6NX 95- 95. 95~ 96X AAAVM AABHQ AAFGU AAHNG AAIAL AAJKR AANZL AAPBV AARHV AARTL AATNV AATVU AAUYE AAWCG AAYFA AAYIU AAYQN AAYTO ABDZT ABECU ABFGW ABFTV ABHQN ABJNI ABJOX ABKAS ABKCH ABMNI ABMQK ABNWP ABQBU ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABWNU ABXPI ACBMV ACBRV ACBYP ACGFO ACGFS ACHSB ACHXU ACIGE ACIPQ ACIPV ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACREN ACSNA ACTTH ACVWB ACWMK ADHHG ADHIR ADINQ ADKNI ADKPE ADMDM ADOXG ADRFC ADTPH ADURQ ADYFF ADYOE ADZKW AEBTG AEFTE AEGAL AEGNC AEJHL AEJRE AEOHA AEPYU AESTI AETLH AEVLU AEVTX AEXYK AFGCZ AFLOW AFNRJ AFQWF AFWTZ AFYQB AFZKB AGAYW AGDGC AGGBP AGJBK AGMZJ AGQMX AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIIXL AILAN AIMYW AITGF AJBLW AJDOV AJRNO AKQUC ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMTXH AMXSW AMYLF AMYQR AOCGG ARMRJ ASPBG AVWKF AXYYD AZFZN B-. BA0 BAPOH BDATZ BGNMA C1A CAG COF CS3 CSCUP DDRTE DNIVK DPUIP E4X EBLON EBS EIOEI EJD ESBYG FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNWQR GQ6 GQ7 HF~ HG6 HLICF HMJXF HRMNR HVGLF HZ~ IJ- IKXTQ IWAJR IXC IXD I~X I~Z J-C J9A JBSCW JZLTJ KOV LLZTM LO0 M4Y MA- NPVJJ NQJWS NU0 O9- O93 O9J OK1 P2P P9R PF0 PT4 QOS R89 R9I REM RIG ROL RSV S16 S1Z S27 S3B SAP SDH SHX SISQX SMT SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 TR2 TSG TUC UG4 UNUBA UOJIU UTJUX UZXMN VFIZW W48 WK8 XSB XU3 YLTOR ZMTXR ~A9 AACDK AAJBT AASML AAYXX ABAKF ACAOD ACDTI ACZOJ AEFQL AEMSY AFBBN AGRTI AIGIU CITATION H13 SJYHP |
ID | FETCH-LOGICAL-c268t-2d8fde8e1bb3a1db43b6076cd774e5129b1f0a2344b1559ac323aa96c7465ddd3 |
IEDL.DBID | AGYKE |
ISSN | 1995-0802 |
IngestDate | Thu Oct 10 17:08:08 EDT 2024 Thu Sep 12 16:27:51 EDT 2024 Sat Dec 16 12:02:46 EST 2023 |
IsPeerReviewed | true |
IsScholarly | true |
Issue | 11 |
Keywords | stress-strain state carrier composite layer transversally soft core motion equation sandwich shell average bending equilibrium equation buckling form sandwich plate variability of a function |
Language | English |
LinkModel | DirectLink |
MergedId | FETCHMERGED-LOGICAL-c268t-2d8fde8e1bb3a1db43b6076cd774e5129b1f0a2344b1559ac323aa96c7465ddd3 |
PQID | 2318811300 |
PQPubID | 2044393 |
PageCount | 11 |
ParticipantIDs | proquest_journals_2318811300 crossref_primary_10_1134_S1995080219110076 springer_journals_10_1134_S1995080219110076 |
PublicationCentury | 2000 |
PublicationDate | 2019-11-01 |
PublicationDateYYYYMMDD | 2019-11-01 |
PublicationDate_xml | – month: 11 year: 2019 text: 2019-11-01 day: 01 |
PublicationDecade | 2010 |
PublicationPlace | Moscow |
PublicationPlace_xml | – name: Moscow – name: Heidelberg |
PublicationTitle | Lobachevskii journal of mathematics |
PublicationTitleAbbrev | Lobachevskii J Math |
PublicationYear | 2019 |
Publisher | Pleiades Publishing Springer Nature B.V |
Publisher_xml | – name: Pleiades Publishing – name: Springer Nature B.V |
References | Kh. M. Mushtari, “On the applicability of various theories of three-layer plates and shells,” Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk. Mekh. Mashinostr., No. 6, 163–165 (1960). IvanovV APaimushinV NA refined statement of dynamic problems of sandwich shells with transversely soft core and a numerical-analytical method of their solutionJ. Appl. Mech. Tech. Phys.19953659961010.1007/BF02371282 BolotinV VNovichkovY NMechanics of Laminated Constructions1980MoscowMashinostroenie BadrievI BPaimushinV NRefined models of contact interaction of a thin plate with positioned on both sides deformable foundationsLobachevskii J. Math.201738779793370382410.1134/S1995080217050055 IvanovV APaimushinV NRefinement of the equations of dynamics of multilayered shells with transversely soft coresIzv. Akad. Nauk, Mekh. Tverd. Tela19953142152 Solov’evS IEigenvibrations of a beam with elastically attached loadLobachevskii J. Math.2016375597609354948710.1134/S1995080216050115 PaimushinV NGalimovN KOn the stability of three-layer plates with a light filler during bendingProceedings of the Workshop on the Theory of Shells197453542 ZegzhdaS ATovstikP EYushkovM PThe Hamilton Ostrogradski generalized principle and its application for damping of oscillationsDokl. Phys.20125744745010.1134/S1028335812110092 PaimushinV NGalimovN KAxially symmetric bending and stability of three-layer circular plates with a low density filler under complex loadingResearch on Nonlinear Problems for Shells and Plates1974SaratovSaratov. Gos. Univ.94102 NoorA KBurtonW SBertCh WComputational models for sandwich panels and shellsAppl. Mech. Rev.199649331610.1115/1.3101923 IvanovV APaimushinV NPolyakovaT VRefined theory of the stability of three-layer structures (linearized equations of neutral equilibrium and elementary one-dimensional problems)Russ. Math.199539313221391559 PaimushinV NRefined theory of the stability of multilayered structures (nonlinear equations for the precritical equilibrium of multilayered shells with transversally soft cores)Fundamental and Applied Problems in the Mechanics of Strained Media and Structures199314456 WashizuKVariational Methods in Elasticity and Plasticity1972New YorkPergamon0164.26001 NaikN KKumar RajeshSCompressive strength of unidirectional composites: evaluation and comparison of prediction modelsCompos. Struct.19994629930810.1016/S0263-8223(99)00098-7 GalimovK ZFundamentals of the Nonlinear Theory of Thin Shells1975KazanKazan. Gos. Univ. TarnopolskyYu MRozeA VFeatures of the Calculation of Parts from Reinforced Plastics1969RigaZinatne PaimushinV NKholmogorovS ABadrievI BConsistent equations of nonlinear multilayer shells theory in the quadratic approximationLobachevskii J. Math.2019403349363395237010.1134/S1995080219030156 BadrievI BBanderovV VMakarovM VMathematical simulation of the problem of the pre-critical sandwich plate bending in geometrically nonlinear one dimensional formulationIOP Conf. Ser.: Mater. Sci. Eng.201720801200210.1088/1757-899X/208/1/012002 DavydovS AZemskovA VTarlakovskiiD VAn elastic half-space under the action of one-dimensional time-dependent diffusion perturbationsLobachevskii J. Math.2015364503509343121510.1134/S199508021504023X BudianskyBMicromechanicsComput. Struct.1983161031210.1016/0045-7949(83)90141-4 PaimushinV NOrlovYu VA problem on the stability of moment equilibrium of sandwich elements of structures in a refined statementIzv. Vyssh.Uchebn. Zaved., Aviats. Tekh.199022226 PaimushinV NKholmogorovS ABadrievI BTheoretical and experimental investigations of the formation mechanisms of residual deformations of fibrous layered structure compositesMATEC Web Conf.20171290204210.1051/matecconf/201712902042 BudianskyBFleckN ACompressive failure of fibre compositesJ. Mech. Phys. Solids19937118321110.1016/0022-5096(93)90068-Q BadrievI BBujanovV YMakarovM VDifferential properties of the operator of the geometrically nonlinear problem of a sandwich plate bendingLobachevskii J. Math.2019403263273395235910.1134/S1995080219030041 PaimushinV NBobrovS NForms of stability loss of three-layer sheets and shells with external layers made of homogeneous or reinforced materialsMech. Compos. Mater.201721646910.1007/BF00611810 PaimushinV NvanovV AKhusainovV RAnalysis of equations and problems on free oscillations of a three-layer plate structurally symmetrical in thickness with a transversely-soft fillerIzv. Vyssh. Uchebn. Zaved., Aviats. Tekh.200142225 BerdichevskyV LVariational Principles of Continuum Mechanics2009BerlinSpringer10.1007/978-3-540-88467-5 RickardsR BTetersG AStability of Shells Made of Composite Materials1974RigaZinatne BadrievI BMakarovM VPaimushinV NLongitudinal and transverse bending by a cylindrical shape of the sandwich plate stiffened in the end sections by rigid bodiesIOP Conf. Ser.: Mater. Sci. Eng.201615801201110.1088/1757-899X/158/1/012011 IvanovV APaimushinV NContact statement of mechanical problems of reinforced on a contour sandwich plates with transversal-soft coreRuss. Math.199438112639 E. I. Grigolyuk, “Finite deflections of sandwich shells with a rigid filler,” Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, No. 1, 26–34 (1958). Kh. M. Mushtari, “To the general theory of shallow shells with filler,” Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk. Mekh. Mashinostr., No. 2, 24–29 (1961). PaimushinV NA stability theory of sandwich structural elements 1. Analysis of the current state and a refined classification of buckling formsMech. Compos. Mater.19993546547010.1007/BF02259468 E. I. Grigolyuk, “Equations of sandwich shells with a light filler,” Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, No. 1, 77–84 (1957). PaimushinV NKhusainovV RA refined theory of three-layer plates and shells for studying dynamic processes of deformation of plates and shells with large variability factorMekh. Kompoz. Mater. Konstrukts.20017215235 RosenB WMechanics of composite strengtheningFiber Composite Materials1965Metals Park, OhioAm. Soc. Metals3775 IvanovV APaimushinV NStability of multilayered shallow shells with transversal-soft fillersMech. Compos. Mater.19943026728310.1007/BF00616212 BadrievI BMakarovM VPaimushinV NGeometrically nonlinear problem of longitudinal and transverse bending of a sandwich plate with transversally soft coreLobachevskii J. Math.2018393448457365969010.1134/S1995080218030046 PaimushinV NVariational solution methods for the three-dimensional problems of conjugation of deformable bodiesSov. Phys. Dokl.19832810701073 BadrievI BMakarovM VPaimushinV NNumerical investigation of a physically nonlinear problem of the longitudinal bending of the sandwich plate with a transversal-soft corePNRPU Mech. Bull.201713951 PaimushinV NTheory of stability for three-layer plates and shells: stages of development, state-of-the-art, and prospectsMech. Solids200136127137 GalimovM KIvanovV APaimushinV NProblems of stability of the moment equilibrium of sandwich plates and shells and simulation of the core in a perturbed stateProceedings of the 17th International Conference on Theory of Plates and Shells, Kazan199611623 PaimushinV NPetrushenkoYu YaVariational solution method for problems in the mechanics of three-dimensional composite bodies. Hamilton Ostrogradskii generalized variational principleSoobshch. Akad. Nauk Gruz. SSR1988131130135 V N Paimushin (4996_CR11) 1974; 5 V V Bolotin (4996_CR34) 1980 R B Rickards (4996_CR37) 1974 V N Paimushin (4996_CR30) 2001; 4 V N Paimushin (4996_CR20) 1999; 35 V N Paimushin (4996_CR5) 2017; 129 I B Badriev (4996_CR35) 2017; 208 I B Badriev (4996_CR8) 2016; 158 V N Paimushin (4996_CR39) 1983; 28 I B Badriev (4996_CR6) 2017; 38 V A Ivanov (4996_CR28) 1995; 36 V N Paimushin (4996_CR12) 1974 V A Ivanov (4996_CR31) 1995; 3 A K Noor (4996_CR15) 1996; 49 V L Berdichevsky (4996_CR41) 2009 V A Ivanov (4996_CR17) 1995; 39 Yu M Tarnopolsky (4996_CR24) 1969 I B Badriev (4996_CR36) 2019; 40 4996_CR4 B Budiansky (4996_CR25) 1983; 16 B Budiansky (4996_CR26) 1993; 71 I B Badriev (4996_CR33) 2018; 39 V A Ivanov (4996_CR19) 1994; 30 K Z Galimov (4996_CR38) 1975 V N Paimushin (4996_CR13) 2017; 21 V A Ivanov (4996_CR16) 1994; 38 N K Naik (4996_CR27) 1999; 46 K Washizu (4996_CR42) 1972 4996_CR1 V N Paimushin (4996_CR18) 1993; 1 V N Paimushin (4996_CR29) 2001; 7 S A Zegzhda (4996_CR43) 2012; 57 V N Paimushin (4996_CR14) 1990; 2 V N Paimushin (4996_CR40) 1988; 131 4996_CR3 V N Paimushin (4996_CR21) 2001; 36 4996_CR2 B W Rosen (4996_CR23) 1965 V N Paimushin (4996_CR7) 2019; 40 M K Galimov (4996_CR22) 1996; 1 S A Davydov (4996_CR9) 2015; 36 S I Solov’ev (4996_CR10) 2016; 37 I B Badriev (4996_CR32) 2017; 1 |
References_xml | – volume: 158 start-page: 012011 year: 2016 ident: 4996_CR8 publication-title: IOP Conf. Ser.: Mater. Sci. Eng. doi: 10.1088/1757-899X/158/1/012011 contributor: fullname: I B Badriev – volume-title: Stability of Shells Made of Composite Materials year: 1974 ident: 4996_CR37 contributor: fullname: R B Rickards – volume: 37 start-page: 597 issue: 5 year: 2016 ident: 4996_CR10 publication-title: Lobachevskii J. Math. doi: 10.1134/S1995080216050115 contributor: fullname: S I Solov’ev – start-page: 37 volume-title: Fiber Composite Materials year: 1965 ident: 4996_CR23 contributor: fullname: B W Rosen – volume: 36 start-page: 599 year: 1995 ident: 4996_CR28 publication-title: J. Appl. Mech. Tech. Phys. doi: 10.1007/BF02371282 contributor: fullname: V A Ivanov – volume: 5 start-page: 35 year: 1974 ident: 4996_CR11 publication-title: Proceedings of the Workshop on the Theory of Shells contributor: fullname: V N Paimushin – volume: 2 start-page: 22 year: 1990 ident: 4996_CR14 publication-title: Izv. Vyssh.Uchebn. Zaved., Aviats. Tekh. contributor: fullname: V N Paimushin – volume: 28 start-page: 1070 year: 1983 ident: 4996_CR39 publication-title: Sov. Phys. Dokl. contributor: fullname: V N Paimushin – volume: 16 start-page: 3 issue: 10 year: 1983 ident: 4996_CR25 publication-title: Comput. Struct. doi: 10.1016/0045-7949(83)90141-4 contributor: fullname: B Budiansky – volume: 35 start-page: 465 year: 1999 ident: 4996_CR20 publication-title: Mech. Compos. Mater. doi: 10.1007/BF02259468 contributor: fullname: V N Paimushin – volume: 208 start-page: 012002 year: 2017 ident: 4996_CR35 publication-title: IOP Conf. Ser.: Mater. Sci. Eng. doi: 10.1088/1757-899X/208/1/012002 contributor: fullname: I B Badriev – volume: 49 start-page: 3 issue: 3 year: 1996 ident: 4996_CR15 publication-title: Appl. Mech. Rev. doi: 10.1115/1.3101923 contributor: fullname: A K Noor – volume-title: Variational Methods in Elasticity and Plasticity year: 1972 ident: 4996_CR42 contributor: fullname: K Washizu – volume: 1 start-page: 16 year: 1996 ident: 4996_CR22 publication-title: Proceedings of the 17th International Conference on Theory of Plates and Shells, Kazan contributor: fullname: M K Galimov – volume: 57 start-page: 447 year: 2012 ident: 4996_CR43 publication-title: Dokl. Phys. doi: 10.1134/S1028335812110092 contributor: fullname: S A Zegzhda – ident: 4996_CR4 – volume: 1 start-page: 44 year: 1993 ident: 4996_CR18 publication-title: Fundamental and Applied Problems in the Mechanics of Strained Media and Structures contributor: fullname: V N Paimushin – volume: 129 start-page: 02042 year: 2017 ident: 4996_CR5 publication-title: MATEC Web Conf. doi: 10.1051/matecconf/201712902042 contributor: fullname: V N Paimushin – volume: 46 start-page: 299 year: 1999 ident: 4996_CR27 publication-title: Compos. Struct. doi: 10.1016/S0263-8223(99)00098-7 contributor: fullname: N K Naik – ident: 4996_CR2 – volume: 4 start-page: 22 year: 2001 ident: 4996_CR30 publication-title: Izv. Vyssh. Uchebn. Zaved., Aviats. Tekh. contributor: fullname: V N Paimushin – start-page: 94 volume-title: Research on Nonlinear Problems for Shells and Plates year: 1974 ident: 4996_CR12 contributor: fullname: V N Paimushin – volume: 38 start-page: 779 year: 2017 ident: 4996_CR6 publication-title: Lobachevskii J. Math. doi: 10.1134/S1995080217050055 contributor: fullname: I B Badriev – volume: 39 start-page: 13 issue: 3 year: 1995 ident: 4996_CR17 publication-title: Russ. Math. contributor: fullname: V A Ivanov – volume-title: Fundamentals of the Nonlinear Theory of Thin Shells year: 1975 ident: 4996_CR38 contributor: fullname: K Z Galimov – volume: 40 start-page: 263 issue: 3 year: 2019 ident: 4996_CR36 publication-title: Lobachevskii J. Math. doi: 10.1134/S1995080219030041 contributor: fullname: I B Badriev – volume: 3 start-page: 142 year: 1995 ident: 4996_CR31 publication-title: Izv. Akad. Nauk, Mekh. Tverd. Tela contributor: fullname: V A Ivanov – volume: 39 start-page: 448 issue: 3 year: 2018 ident: 4996_CR33 publication-title: Lobachevskii J. Math. doi: 10.1134/S1995080218030046 contributor: fullname: I B Badriev – volume: 40 start-page: 349 issue: 3 year: 2019 ident: 4996_CR7 publication-title: Lobachevskii J. Math. doi: 10.1134/S1995080219030156 contributor: fullname: V N Paimushin – volume: 21 start-page: 64 year: 2017 ident: 4996_CR13 publication-title: Mech. Compos. Mater. doi: 10.1007/BF00611810 contributor: fullname: V N Paimushin – volume: 36 start-page: 127 year: 2001 ident: 4996_CR21 publication-title: Mech. Solids contributor: fullname: V N Paimushin – volume: 131 start-page: 130 year: 1988 ident: 4996_CR40 publication-title: Soobshch. Akad. Nauk Gruz. SSR contributor: fullname: V N Paimushin – volume: 36 start-page: 503 issue: 4 year: 2015 ident: 4996_CR9 publication-title: Lobachevskii J. Math. doi: 10.1134/S199508021504023X contributor: fullname: S A Davydov – volume: 30 start-page: 267 year: 1994 ident: 4996_CR19 publication-title: Mech. Compos. Mater. doi: 10.1007/BF00616212 contributor: fullname: V A Ivanov – volume: 7 start-page: 215 year: 2001 ident: 4996_CR29 publication-title: Mekh. Kompoz. Mater. Konstrukts. contributor: fullname: V N Paimushin – volume-title: Features of the Calculation of Parts from Reinforced Plastics year: 1969 ident: 4996_CR24 contributor: fullname: Yu M Tarnopolsky – ident: 4996_CR3 – volume: 1 start-page: 39 year: 2017 ident: 4996_CR32 publication-title: PNRPU Mech. Bull. doi: 10.15593/perm.mech/2017.1.03 contributor: fullname: I B Badriev – volume-title: Mechanics of Laminated Constructions year: 1980 ident: 4996_CR34 contributor: fullname: V V Bolotin – volume: 38 start-page: 26 issue: 11 year: 1994 ident: 4996_CR16 publication-title: Russ. Math. contributor: fullname: V A Ivanov – volume-title: Variational Principles of Continuum Mechanics year: 2009 ident: 4996_CR41 doi: 10.1007/978-3-540-88467-5 contributor: fullname: V L Berdichevsky – volume: 71 start-page: 183 year: 1993 ident: 4996_CR26 publication-title: J. Mech. Phys. Solids doi: 10.1016/0022-5096(93)90068-Q contributor: fullname: B Budiansky – ident: 4996_CR1 |
SSID | ssj0022666 |
Score | 2.1908898 |
Snippet | In the development of previously obtained results for the case of average bending, a refined geometrically nonlinear theory of static and dynamic deformation... |
SourceID | proquest crossref springer |
SourceType | Aggregation Database Publisher |
StartPage | 1904 |
SubjectTerms | Algebra Analysis Bending Compressive properties Deformation Elasticity Equilibrium equations Geometry Mathematical Logic and Foundations Mathematics Mathematics and Statistics Nonlinear equations Probability Theory and Stochastic Processes Product design Shear stress Strain Stress-strain relationships Stresses Thickness Variational principles |
Title | Refined Equations of the Sandwich Shells Theory with Composite External Layers and a Transverse Soft Core at Average Bending |
URI | https://link.springer.com/article/10.1134/S1995080219110076 https://www.proquest.com/docview/2318811300 |
Volume | 40 |
hasFullText | 1 |
inHoldings | 1 |
isFullTextHit | |
isPrint | |
link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV07T8MwED5BWWDgjSiP6gYmUEoeTnDGFrUgHh0olcoU2bEjUKUUSBAS4sdzTtIiKAydIiWOJcfO3Xe--z4DHElbhMwPbSv0z4TFfMUsrmIKVvyELq4IuG3Iybe94HLArob-cAHc6dZFOmpOMpKFoS6PHWGnfcMlNsRQCjBMZj9YhCXf6H3VYKl18XDdmYZZ5HIKTlHBPea2W-Uy_-zkpzf6hpi_sqKFs-mulQTArNAoNDUmo-ZbLpvxx6yC4xzjWIfVCntiq1wsG7Cg001YuZ0Kt2Zb8HmnE8KdCjsvpQZ4huMEqQH2Raren-JH7JvS0QxLUj-afVw0RsUUf2nsVKLSeCMMlkd6CQUWDtHUf1A3ZPap_atGkWOL7pE9w7YuuDXbMOh27s8vreqABit2A55bruKJ0lw7UnrCUZJ5MqARxYowpTZIQjqJLVyPMWmynyL2XE-IMIjPWOArpbwdqKXjVO8CJo4i4JIQXiS8YLKDihynp2wubR1o5tfheDJR0XOpwxEV8YvHoplPWoeDyVRG1S-ZRQRkOXdM9q4OJ5Op-X78b2d7c7Xeh2WCVGHJVjyAWv76pg8JtuSyQeu02273GtV6_QKkCeI3 |
link.rule.ids | 315,786,790,27955,27956,41114,42183,52144 |
linkProvider | Springer Nature |
linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV07T8MwED5BGYCBN6JQ4AYmUCAPJ3XGggoFWgZaJJgiO3YEQmqhSYWE-PGc8wDxGpgiJY4Vx87dd_nuOwPsSVuEzA9tK_SbwmK-YhZXMQUrfkIHVwTcNuLk3lXQuWEXt_5tqeNOq2z3ipLMLXWx7wg76hsxsVGGUoRhqP1gGmaYcfA1mGmd3V22P-Is8jm5qCgXH3PbLcnMXzv56o4-MeY3WjT3NqeLMKies0gyeTycZPIwfv1WwvGfA1mChRJ9YqtYLsswpYcrMN_7KN2arsLbtU4IeSpsPxdVwFMcJUgNsC-G6uUhvse-SR5NsZD1o_mTi8asmPQvje2yrDR2hUHzSDehwNwlmgwQ6oYMP7UfaxQZtugcWTQ81rm6Zg1uTtuDk45VbtFgxW7AM8tVPFGaa0dKTzhKMk8GNKJYEarUBktIJ7GF6zEmDf8pYs_1hAiDuMkCXynlrUNtOBrqDcDEUQRdEkKMhBgMP6jIdXrK5tLWgWZ-HfarmYqeikocUR7BeCz68Urr0KjmMio_yjQiKMu5Y_i7OhxUU_N5-c_ONv_VehdmO4NeN-qeX11uwRwBrLDQLjaglo0neptATCZ3ykX7DumT5I8 |
linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1JS8QwFH7oCKIHd3Fc38GTUu2SdtLjqDPuIo6CnmrSpChC1WlFEH-8L10Ut4N4KrRpaJrlfS_f-14AVqUtQuaHthX6LWExXzGLq5icFT-hiysCbhtx8vFJsHfBDi79y-qc06yOdq8pyVLTYLI0pfnmg0qqM0jYZs8Ii41KlLwNQ_MHgzDEaNayBgy1d68OO-8-F9mfQmBUCJG57VbE5o-VfDZNH3jzC0VaWJ7uOFzX31wGnNxtPOVyI375ks7xH42agLEKlWK7HEaTMKDTKRg9fk_pmk3D65lOCJEq7DyW2cEzvE-QCmBPpOr5Nr7BngkqzbCU-6PZ4UWz3JiwMI2dKt00HgmD8pFeQoGFqTSRIVQNGQQq39cocmzTPVrpcEsXqpsZuOh2zrf3rOroBit2A55bruKJ0lw7UnrCUZJ5MqAWxYrQpjYYQzqJLVyPMWl4URF7ridEGMQtFvhKKW8WGul9qucAE0cRpEkISRKSMLyhIpPqKZtLWwea-U1Yq3steigzdESFZ-Ox6NsvbcJi3a9RNVmziCAu547h9ZqwXnfTx-NfK5v_U-kVGD7d6UZH-yeHCzBCuCssJY2L0Mj7T3qJsE0ul6vx-wa5JO1q |
openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Refined+Equations+of+the+Sandwich+Shells+Theory+with+Composite+External+Layers+and+a+Transverse+Soft+Core+at+Average+Bending&rft.jtitle=Lobachevskii+journal+of+mathematics&rft.au=Badriev%2C+I+B&rft.au=Paimushin%2C+V+N&rft.au=Shihov%2C+M+A&rft.date=2019-11-01&rft.pub=Springer+Nature+B.V&rft.issn=1995-0802&rft.eissn=1818-9962&rft.volume=40&rft.issue=11&rft.spage=1904&rft.epage=1914&rft_id=info:doi/10.1134%2FS1995080219110076&rft.externalDBID=NO_FULL_TEXT |
thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1995-0802&client=summon |
thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1995-0802&client=summon |
thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1995-0802&client=summon |