Top

Mechanics of Composite Materials

Published in:

06-07-2023

Mixed Bending-Shear Buckling Modes of a Sandwich Beam under the Axial Compression of its Outer Layers

Authors: V. N. Paimushin, M. V. Makarov, N. V. Levshonkova

Published in: Mechanics of Composite Materials | Issue 3/2023

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

Using a nonlinear theory of sandwich shells with a transversely soft core, approximate analytical solutions were found to the one-dimensional linearized stability problem for a sandwich beam in the case of axial compression of its outer layer. The equations applied are based on the introduction into consideration unknown contact forces of interaction of the outer layers with core, of outer layers and core with stiffening elements at all points of their interfaces. A numerical solution of the nonlinear problem formulated was obtained invoking the method of finite sums (integrating matrices) by reducing the original problem in a differential form to a system of integroalgebraic equations.

previous article Compression Mechanics for Carbon-Fiberreinforced Epoxy Resin Composites Under Inplane and Out-Of-Plane Quasi-Static and Dynamic Loadings

next article Experimental Investigation of Foam-Filled Composite Double-Arrow Auxetic Structures in Impulse Loadings

Dont have a licence yet? Then find out more about our products and how to get one now:

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!

inform now

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!

inform now

E. Reissner, “Finite deflection of sandwich plates,” J. Aeronautical Sci., 15, No. 7, 435-440-(1948).

E. I. Grigolyuk and P. P. Chulkov, Stability and Vibrations of Three-Layer Shells [in Russian], M., Mashinostroenie (1973).

V. V. Bolotin and Yu. N. Novichkov, Mechanics of Multilayer Structures [in Russian], M., Mashinostroenie (1980).

H. Altenbach, “Theories for laminated and sandwich plates,” Mech. Compos. Mater., 34, No. 3, 243-52 (1998).CrossRef

M. Haghi, M. Aßmus, K. Naumenko, and H. Altenbach, “Mechanical models and finite-element approaches for the structural analysis of photovoltaic composite structures: a comparative study,” Mech. Compos. Mater., 54, No. 4, 415-430 (2018).CrossRef

A. S. Sayyad and Y. M. Ghugal, “On the free vibration analysis of laminated composite and sandwich plates: A review of recent literature with some numerical results,” Compos. Struct., 129, 177-201 (2015).CrossRef

S. Atteshamuddin Sayyad and M. Yuwaraj Ghugal, “Modeling and analysis of functionally graded sandwich bars: a review,” Mech. Adv. Mater. and Struct., 26:21, 1776-1795 (2019), DOI: https://doi.org/10.1080/15376494.2018.1447178

E. Carrera, “Developments, ideas, and evaluations based upon Reissner’s mixed variational theorem in the modeling of multilayered plates and shells,” Appl. Mech. Rev., 54, 301-329 (2001).CrossRef

E. Carrera and S. Brischetto, “A survey with numerical assessment of classical and refined theories for the analysis of sandwich plates,” Appl. Mech. Rev., 62, 1-17 (2009).CrossRef

10.

J. N. Reddy and R. Arciniega, “A shear deformation plate and shell theories: from Stavsky to present,” Mech. Adv. Mater. Struct., 11, No. 6, 535-582 (2004).CrossRef

11.

I. Kreja, “A literature review on computational models for laminated composite and sandwich panels,” Cent. Eur. J. Eng., 1, No. 1, 59-80 (2011).

12.

E. I. Grigolyuk, “Equations of three-layer shells with a light core,” Izv. AN SSSR, OTN, No. 1, 77-84 (1957).

13.

M. Aßmus, J. Nordmann, K. Naumenko, and H. Altenbach, “A homogeneous substitute material for the core layer of photovoltaic composite structures,” Compos., Part B, 112, 353-372 (2017).CrossRef

14.

M. Aßmus, K. Naumenko, and H. Altenbach, “A multiscale projection approach for the coupled global-local structural analysis of photovoltaic modules,” Compos. Struct., 158, 340-358 (2016).CrossRef

15.

H. Altenbach and P. A. Zhilin, “Equilibrium bifurcation of a three-layer strip,” Dynamics and Strength of Machines: Tr. POI. 386, 88-93 (1982).

16.

A. S. Sayyad and Y. M. Ghugal, “Bending, buckling and free vibration of laminated composite and sandwich bars: A critical review of literature,” Compos. Struct., 171, 486-504 (2017).CrossRef

17.

L. Galuppi and G. R. Carfagni, “Buckling of three-layered composite bars with viscoelastic interaction,” Compos. Struct., 107, 512-521 (2014).CrossRef

18.

C. N. Phan, G. A. Kardomateas, and Y. Frostig, “Global buckling of sandwich bars based on the extended high-order theory,” AIAA J., 50, No. 8, 1707-1016 (2012).CrossRef

19.

C. N. Phan, Y. Frostig, and G. A. Kardomateas, “Analysis of sandwich panels with a compliant core and with in-plane rigidity- extended high-order sandwich panel theory versus elasticity,” ASME J. Appl. Mech., 79, 1-11 (2011).

20.

A. Chakrabarti, H. D. Chalak, M. A. Iqbal, and A. H. Sheikh, “Buckling analysis of laminated sandwich bar with soft core,” Lat. Amer. J. Solids Struct., 9, 367-381 (2011).

21.

H. Hu, S. Belouettar, M. P. Ferry, A. Makradi, “A novel finite element for global and local buckling analysis of sandwich bars,” Compos. Struct., 90, 270-278 (2009).CrossRef

22.

G. A. Kardomateas, “Three dimensional elasticity solution for the buckling of sandwich columns.” In: ASME Int. Mechanical Engineering Congress and Exposition, New York, November 11-16 (2001).

23.

M. D’Ottavio, O. Polit, W. Ji, and A. M. Waas, “Benchmark solutions and assessment of variable kinematics models for global and local buckling of sandwich struts,” Compos. Struct., 156, 125-34 (2016).CrossRef

24.

V. N. Paimushin, “A stability theory of sandwich structural elements 1. Analysis of the current state and a refined classification of buckling forms,” Mech. Compos. Mater., 35, No. 6, 465-470 (1999).CrossRef

25.

V. N. Paimushin, “Theory of stability of three-layer plates and shells (Stages of development, state of the art and directions for further research),” Izv. RAN, MTT, No. 2, 148-162 (2001).

26.

W. Pietraszkiewicz and V. Konopińska, “Junctions in shell structures: A review,” Thin-Walled Struct., 95, 310-334 (2015).CrossRef

27.

V. N. Paimushin, “Theory of moderately large deflections of sandwich shells having a transversely soft core and reinforced along their contour,” Mech. Compos. Mater., 53, No. 1, 1-16 (2017).CrossRef

28.

V. N. Paimushin, “On variational methods for solving nonlinear three-dimensional problems of conjugation of deformable bodies,” Dokl. Akad. Nauk SSSR, 273, No. 5, 1083-10863 (1983)

29.

V. N. Paimushin, V. A. Ivanov, and V. R. Khusainov, “Analysis of free and natural vibrations of a three-layer plate using the equations of elasticity theory for the core,” Mech. Compos. Mater., 8, No. 2, 197 (2002).

30.

V. N. Paimushin, V. A. Ivanov, and V. R. Khusainov, “Analysis of free and natural vibrations of a three-layer plate based on the equations of the refined theory,” Mech. Compos. Mater., 8, No. 4, 543 (2002).

31.

V. N. Paimushin, A. I. Golovanov, and S. N. Bobrov, “Methods of finite element analysis of arbitrary buckling forms of sandwich plates and shells,” Mech. Compos. Mater., 36, No. 4, 277-286 (2000).CrossRef

32.

R. Z. Dautov and V. N. Paimushin, “On the method of integrating matrices for the solution of boundary value problems for fourth-order ordinary equations,” Russ. Math., 40, No. 10, 11-23 (1996).

33.

M. M. Karchevsky, “Iterative schemes for equations with monotone operators,” Izv. Vuzov. Matematika, No. 5, 32-37 (1971).

34.

E. I. Grigolyuk and V. I. Shalashilin, Problems of Nonlinear Deformation: A Method of Continuing the Solution with a Parameter in Nonlinear Problems of Mechanics of a Solid Deformable Body [in Russian], M, Nauka (1988).

Title: Mixed Bending-Shear Buckling Modes of a Sandwich Beam under the Axial Compression of its Outer Layers
Authors: V. N. Paimushin
M. V. Makarov
N. V. Levshonkova
Publication date: 06-07-2023
Publisher: Springer US
Published in: Mechanics of Composite Materials / Issue 3/2023
Print ISSN: 0191-5665
Electronic ISSN: 1573-8922
DOI: https://doi.org/10.1007/s11029-023-10113-x

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Other articles of this Issue 3/2023

A Comparative Study of the Estimated Bending Strength of Sandwich Panels by an Artificial Neural Network and an Adaptive Neuro-Fuzzy Inference System

Experimental Investigation of Foam-Filled Composite Double-Arrow Auxetic Structures in Impulse Loadings

Free Vibration Analysis of Carbon-Nanotube-Reinforced Beams Resting on a Viscoelastic Pasternak Foundation by the Nonlocal Eshelby–Mori–Tanaka Method

Dynamic Stability of a Composite Sandwich Shell with Longitudinal Ribs and an Internal Cylinder Loaded by an External Pressure and a Time-Varying Axial Force

Size-Dependent Thermal Backbone Curves for Nanocomposite Reddy Microbeams Reinforced with Graphene Platelets and Resting on Elastic Foundation

Investigation Method of the Static Strength of Structurally-Anisotropic Composite Panels According to a Refined Theory

Premium Partners