Skip to main content
Erschienen in: Mechanics of Composite Materials 4/2015

01.09.2015

Nonstandard Problems for Structural Elements with Spatial Composite Ribs

verfasst von: V. M. Pestrenin, I. V. Pestrenina, L. V. Landik

Erschienen in: Mechanics of Composite Materials | Ausgabe 4/2015

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Deformable bodies containing elements in the form of spatial composite ribs and subjected to a temperature or surface load are investigated. It is shown that, at the points forming the rib (singular points), the number of assigned constraints is redundant, and therefore these problems belong to the class of nonstandard ones. For all possible combinations of material and geometric parameters of the bodies studied, algebraic relations (independent constraints) between components of the stress tensor of the elements connected at the points of ribs are presented. Conditions on load parameters excluding the singular behavior of the parameters of state close to the singular points are formulated. By using an iterative numerical-analytical method, nonstandard problems on stress distributions near the points of ribs of a composite cylinder under the action of temperature and torsion are solved.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat V. M. Pestrenin, I. V. Pestrenina, and L. V. Landik, “Nonstandard problems for homogeneous structural elements with wedges in the conditions of plane problem,” Vest. Tomsk. Gosud. Univer. Matemat. Mekhan., No. 1 (27), 95–109 (2014). V. M. Pestrenin, I. V. Pestrenina, and L. V. Landik, “Nonstandard problems for homogeneous structural elements with wedges in the conditions of plane problem,” Vest. Tomsk. Gosud. Univer. Matemat. Mekhan., No. 1 (27), 95–109 (2014).
2.
Zurück zum Zitat D. B. Bogy, “Two edge-bonded elastic wedges of different materials and wedge angles under surface tractions,” Trans. ACME. Ser. E, 38, No 2, 87–96 (1971). D. B. Bogy, “Two edge-bonded elastic wedges of different materials and wedge angles under surface tractions,” Trans. ACME. Ser. E, 38, No 2, 87–96 (1971).
3.
Zurück zum Zitat O. K. Aksetyan, “Particular features of the stress–strain state of a plate near a rib,” Prikl. Matem. Mekhan., No. 1, 178–186 (1967). O. K. Aksetyan, “Particular features of the stress–strain state of a plate near a rib,” Prikl. Matem. Mekhan., No. 1, 178–186 (1967).
4.
Zurück zum Zitat O. K. Aksetyan and O. N. Lushchik, “Stress–strain state near the top of butt joints,” Prikl. Mekhan., 18, No. 7, 66–73 (1982). O. K. Aksetyan and O. N. Lushchik, “Stress–strain state near the top of butt joints,” Prikl. Mekhan., 18, No. 7, 66–73 (1982).
5.
Zurück zum Zitat K. S. Chobanyan, Stresses in Compound Elastic Bodies [in Russian], Izdat. Akad. Nauk ArmSSR, Yerevan (1987). K. S. Chobanyan, Stresses in Compound Elastic Bodies [in Russian], Izdat. Akad. Nauk ArmSSR, Yerevan (1987).
6.
Zurück zum Zitat G. B. Sinclear, “Stress singularities in classical elasticity. I: Removal, interpretation and analysis,” Appl. Mech. Rev., 57, No. 4, 251–297 (2004).CrossRef G. B. Sinclear, “Stress singularities in classical elasticity. I: Removal, interpretation and analysis,” Appl. Mech. Rev., 57, No. 4, 251–297 (2004).CrossRef
7.
Zurück zum Zitat G. B. Sinclear, “Stress singularities in classical elasticity. II: Asymptotic identification,” Appl. Mech. Rev., 57, No. 4, 385–439 (2004).CrossRef G. B. Sinclear, “Stress singularities in classical elasticity. II: Asymptotic identification,” Appl. Mech. Rev., 57, No. 4, 385–439 (2004).CrossRef
8.
Zurück zum Zitat M. D. Kovalenko, S. V. Galadzhiev, O. S. Gogolev, and D. V. Trubnikov, “Singularities of the stress–strain state in boundary regions near angular boundary points,” Mekh. Kompozits. Mater. Konstr., 17, No. 1, 53–60 (2011). M. D. Kovalenko, S. V. Galadzhiev, O. S. Gogolev, and D. V. Trubnikov, “Singularities of the stress–strain state in boundary regions near angular boundary points,” Mekh. Kompozits. Mater. Konstr., 17, No. 1, 53–60 (2011).
9.
Zurück zum Zitat V. P. Matveenko, N. V. Sevodina, and A. Yu. Fedorov, “Optimization of geometry of elastic bodies in the neighborhood of singular points by the example of an adhesive joint with an overlap,” Prikl. Mekhan. Tekhn. Fiz., 54, No. 5, 180–186 (2013). V. P. Matveenko, N. V. Sevodina, and A. Yu. Fedorov, “Optimization of geometry of elastic bodies in the neighborhood of singular points by the example of an adhesive joint with an overlap,” Prikl. Mekhan. Tekhn. Fiz., 54, No. 5, 180–186 (2013).
10.
Zurück zum Zitat E. I. Shemyakin, “On the boundary-value problems of elasticity theory for regions with angular points (plane deformation),” Dokl. Akad. Nauk, 347, No. 3, 342–345 (1996). E. I. Shemyakin, “On the boundary-value problems of elasticity theory for regions with angular points (plane deformation),” Dokl. Akad. Nauk, 347, No. 3, 342–345 (1996).
11.
Zurück zum Zitat V. P. Matveenko and A. Yu. Fedorov, “Optimization of geometry of compound elastic bodies as the basis for refining test methods on the strength of adhesive joints,” Vychislit. Mekhan. Sploshn. Sred, 4, No. 4, 63–70 (2011). V. P. Matveenko and A. Yu. Fedorov, “Optimization of geometry of compound elastic bodies as the basis for refining test methods on the strength of adhesive joints,” Vychislit. Mekhan. Sploshn. Sred, 4, No. 4, 63–70 (2011).
12.
Zurück zum Zitat L. R. Xu, H. Kuai, and S. Sengupta, “Dissimilar material joints with and without free-edge stress singularities: Part II. An integrated numerical analysis,” Experim. Mech., 44, No. 6, 616–621 (2004).CrossRef L. R. Xu, H. Kuai, and S. Sengupta, “Dissimilar material joints with and without free-edge stress singularities: Part II. An integrated numerical analysis,” Experim. Mech., 44, No. 6, 616–621 (2004).CrossRef
13.
Zurück zum Zitat R. D. Adams, R. W. Atkins, J. A. Harris, and A. J. Kinloch, “Stress analysis and failure properties of carbon-fibrereinforced-plastic steel double-lap joints,” J. Adhes., 20, 29–53 (1986).CrossRef R. D. Adams, R. W. Atkins, J. A. Harris, and A. J. Kinloch, “Stress analysis and failure properties of carbon-fibrereinforced-plastic steel double-lap joints,” J. Adhes., 20, 29–53 (1986).CrossRef
14.
Zurück zum Zitat V. M. Pestrenin, I. V. Pestrenina, and L. V. Landik, “Nonstandard problems of the mechanics of deformable solid bodies and the iterative method of their solution,” Mekh. Nanostrukt. Mater. Sistem, in: Coll. Studys II All-Union Conf., Vol. 3, IPRIM Ross. Akad. Nauk, Moscow (2013), pp. 104–118. V. M. Pestrenin, I. V. Pestrenina, and L. V. Landik, “Nonstandard problems of the mechanics of deformable solid bodies and the iterative method of their solution,” Mekh. Nanostrukt. Mater. Sistem, in: Coll. Studys II All-Union Conf., Vol. 3, IPRIM Ross. Akad. Nauk, Moscow (2013), pp. 104–118.
15.
Zurück zum Zitat V. M. Pestrenin, I. V. Pestrenina, L. V. Landik, and E. A. Polyanina, “Investigation of stresses in a compound plate near the edge of connection line in relation to the thickness and material parameters of the adhesive layer,” Vest. PNIPU. Mekhanika, No. 1, 153–166 (2014). V. M. Pestrenin, I. V. Pestrenina, L. V. Landik, and E. A. Polyanina, “Investigation of stresses in a compound plate near the edge of connection line in relation to the thickness and material parameters of the adhesive layer,” Vest. PNIPU. Mekhanika, No. 1, 153–166 (2014).
16.
Zurück zum Zitat V. M. Pestrenin, I. V. Pestrenina, L. V. Landik, and E. V. Stepina, “Thermal loading of a compound structure in the conditions of plane problem,” Vest. Perm Univ. Matem. Mekh. Informat., No. 3 (21), 66–71 (2013). V. M. Pestrenin, I. V. Pestrenina, L. V. Landik, and E. V. Stepina, “Thermal loading of a compound structure in the conditions of plane problem,” Vest. Perm Univ. Matem. Mekh. Informat., No. 3 (21), 66–71 (2013).
17.
Zurück zum Zitat V. M. Pestrenin, I. V. Pestrenina, and L. V. Landik, “Stress state near a singular point of a compound structure in the plane problem,” Vest. Tomsk. Gosud. Univ. Matemat. Mekhan., No. 4 (23), 78–87 (2013). V. M. Pestrenin, I. V. Pestrenina, and L. V. Landik, “Stress state near a singular point of a compound structure in the plane problem,” Vest. Tomsk. Gosud. Univ. Matemat. Mekhan., No. 4 (23), 78–87 (2013).
Metadaten
Titel
Nonstandard Problems for Structural Elements with Spatial Composite Ribs
verfasst von
V. M. Pestrenin
I. V. Pestrenina
L. V. Landik
Publikationsdatum
01.09.2015
Verlag
Springer US
Erschienen in
Mechanics of Composite Materials / Ausgabe 4/2015
Print ISSN: 0191-5665
Elektronische ISSN: 1573-8922
DOI
https://doi.org/10.1007/s11029-015-9520-9

Weitere Artikel der Ausgabe 4/2015

Mechanics of Composite Materials 4/2015 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.