Top

Archive of Applied Mechanics

Published in:

22-10-2019 | Original

Steady-state thermomechanical analysis of composite laminated plate with damage based on extended layerwise method

Authors: Dinghe Li, Wukui Shan, Feng Zhang

Published in: Archive of Applied Mechanics | Issue 2/2020

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

search-config

AI-assisted search

Off

Abstract

A steady-state thermomechanical analysis model is established for the composite laminated plate with transverse cracks and delaminations based on the extended layerwise method. The one-dimensional weak and strong discontinuous functions are employed to simulate the interlaminar interfaces and the delaminations, respectively, while the transverse crack is simulated in the in-plane displacement fields by using the standard extended finite element method. The temperature field in the thickness direction is obtained by using a one-dimensional steady-state heat conduction equation and constructed with the linear Lagrange interpolation functions in the thickness direction. In several numerical examples, the proposed model is verified for the laminated plates with/without transverse crack and/or delaminations against the classic laminated plate theory, first-order shear deformation theory, Reddy’s layerwise theory or three-dimensional elastic model.

previous article Non-iterative explicit integration algorithms based on acceleration time history for nonlinear dynamic systems

next article Study on lateral stability of levitation modules for low- and medium-speed maglev trains

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

Argyris, J., Tenek, L.: Recent advances in computational thermostructural analysis of composite plates and shells with strong nonlinearities. Appl. Mech. Rev. 50, 285–306 (1997)CrossRef

Noor, A., Malik, M.: An assessment of five modeling approaches for thermo-mechanical stress analysis of laminated composite panels. Comput. Mech. 25(1), 43–58 (2000)CrossRef

Rolfes, R., Tessmer, J., Rohwer, K.: Models and tools for heat transfer, thermal stresses, and stability of composite aerospace structures. J. Thermal Stress. 26(6), 641–670 (2003)CrossRef

Tungikar, V., Rao, K.M.: Three dimensional exact solution of thermal stresses in rectangular composite laminate. Compos. Struct. 27(4), 419–430 (1994)CrossRef

Kant, T., Shiyekar, S.: An assessment of a higher order theory for composite laminates subjected to thermal gradient. Compos. Struct. 96, 698–707 (2013)CrossRef

Ali, J.S.M., Bhaskar, K., Varadan, T.K.: A new theory for accurate thermal/mechanical flexural analysis of symmetric laminated plates. Compos. Struct. 45(3), 227–232 (1999)CrossRef

Matsunaga, H.: Thermal buckling of angle-ply laminated composite and sandwich plates according to a global higher-order deformation theory. Compos. Struct. 72(2), 177–192 (2006)CrossRef

Matsunaga, H.: Stress analysis of functionally graded plates subjected to thermal and mechanical loadings. Compos. Struct. 87(4), 344–357 (2009)CrossRef

Kant, T., Shiyekar, S.M.: An assessment of a higher order theory for composite laminates subjected to thermal gradient. Compos. Struct. 96(4), 698–707 (2013)CrossRef

10.

Sciuva, M.D., Gherlone, M.: A global/local third-order hermitian displacement field with damaged interfaces and transverse extensibility: analytical formulation. Compos. Struct. 59(4), 419–431 (2003)CrossRef

11.

Cetkovic, M.: Thermo-mechanical bending of laminated composite and sandwich plates using layerwise displacement model. Compos. Struct. 125, 388–399 (2015)CrossRef

12.

Han, J.W., Kim, J.S., Cho, M.: Generalization of the c0-type zigzag theory for accurate thermomechanical analysis of laminated composites. Compos. B Eng. 122, 173–191 (2017)CrossRef

13.

Gherlone, M., Sciuva, M.D.: Thermo-mechanics of undamaged and damaged multilayered composite plates: a sub-laminates finite element approach. Compos. Struct. 81(1), 125–155 (2007)CrossRef

14.

Barbero, E.J.: On a generalized laminated plate theory with application to bending vibration and delamination buckling, Ph.D. thesis, Virginia Polytechnic Institute and State University (1989)

15.

Barbero, E., Reddy, J.: Modeling of delamination in composite laminates using a layer-wise plate theory. Int. J. Solids Struct. 28(3), 373–388 (1991)CrossRef

16.

Barbero, E.J., Reddy, J.N.: Nonlinear analysis of composite laminates using a generalized laminated plate theory. AIAA J. 28(11), 1987–1994 (1990)CrossRef

17.

Reddy, J.N.: Mechanics of Laminated Composite Plates and Shells: Theory and Analysis. CRC Press, Boca Raton (2004)CrossRef

18.

Whitney, J.M.: The effect of transverse shear deformation on the bending of laminated plates. J. Compos. Mater. 3(3), 534–547 (1969)CrossRef

19.

Ferreira, A.J.M.: Analysis of composite plates using a layerwise theory and multiquadrics discretization. Mech. Adv. Mater. Struct. 12(2), 99–112 (2005)CrossRef

20.

Ferreira, A.J.M., Roque, C.M.C., Jorge, R.M.N., Kansa, E.J.: Static deformations and vibration analysis of composite and sandwich plates using a layerwise theory and multiquadrics discretizations. Eng. Anal. Bound. Elem. 29(12), 1104–1114 (2005)CrossRef

21.

Ferreira, A.J.M., Carrera, E., Cinefra, M., Roque, C.M.C.: Analysis of laminated doubly-curved shells by a layerwise theory and radial basis functions collocation, accounting for through-the-thickness deformations. Comput. Mech. 48(1), 13–25 (2011)CrossRef

22.

Ferreira, A.J.M., Fasshauer, G.E., Batra, R.C., Rodrigues, J.D.: Static deformations and vibration analysis of composite and sandwich plates using a layerwise theory and rbf-ps discretizations with optimal shape parameter. Compos. Struct. 86(4), 328–343 (2008)CrossRef

23.

Kim, Y.-W., Lee, H.-Y., Yoo, B.: Numerical evaluation of stress intensity factor for vessel and pipe subjected to thermal shock. Int. J. Press. Vessels Pip. 58(2), 215–222 (1994)CrossRef

24.

Jin, Z., Batra, R.: Stress intensity relaxation at the tip of an edge crack in a functionally graded material subjected to a thermal shock. J. Thermal Stress. 19(4), 317–339 (1996)CrossRef

25.

Hosseini-Tehrani, P., Eslami, M., Daghyani, H.: Dynamic crack analysis under coupled thermoelastic assumption. J. Appl. Mech. 68(4), 584–588 (2001)CrossRef

26.

Duflot, M.: The extended finite element method in thermoelastic fracture mechanics. Int. J. Numer. Methods Eng. 74(5), 827–847 (2008)MathSciNetCrossRef

27.

Zamani, A., Eslami, M.R.: Implementation of the extended finite element method for dynamic thermoelastic fracture initiation. Int. J. Solids Struct. 47(10), 1392–1404 (2010)CrossRef

28.

Zamani, A., Gracie, R., Eslami, M.R.: Higher order tip enrichment of extended finite element method in thermoelasticity. Comput. Mech. 46(6), 851–866 (2010)MathSciNetCrossRef

29.

Panda, S., Pradhan, B.: Thermoelastic analysis of the asymmetries of interfacial embedded delamination characteristics in laminated frp composites. Compos. A Appl. Sci. Manuf. 38(2), 337–347 (2007)CrossRef

30.

Shu, X.: Thermoelastic delamination of composite laminates with weak interfaces. Compos. Struct. 84(4), 310–318 (2008)CrossRef

31.

Li, D.H., Liu, Y., Zhang, X.: An extended layerwise method for composite laminated beams with multiple delaminations and matrix cracks. Int. J. Numer. Methods Eng. 101(6), 407–434 (2015)MathSciNetCrossRef

32.

Li, D.H.: Delamination and transverse crack growth prediction for laminated composite plates and shells. Comput. Struct. 177, 39–55 (2016)CrossRef

33.

Li, D.H., Zhang, X., Sze, K.Y., Liu, Y.: Extended layerwise method for laminated composite plates with multiple delaminations and transverse cracks. Comput. Mech. 58(4), 657–679 (2016)MathSciNetCrossRef

34.

Li, D.H., Zhang, F., Xu, J.X.: Incompatible extended layerwise method for laminated composite shells. Int. J. Mech. Sci. 119, 243–252 (2016)CrossRef

35.

Li, D., Zhang, F.: Full extended layerwise method for the simulation of laminated composite plates and shells. Comput. Struct. 187, 101–113 (2017)CrossRef

36.

Li, D.H.: Extended layerwise method of laminated composite shells. Compos. Struct. 136(3), 313–344 (2016)CrossRef

37.

Pagano, N.J.: Exact Solutions for Rectangular Bidirectional Composites and Sandwich Plates. Springer, Dordrecht (1994)CrossRef

Title: Steady-state thermomechanical analysis of composite laminated plate with damage based on extended layerwise method
Authors: Dinghe Li
Wukui Shan
Feng Zhang
Publication date: 22-10-2019
Publisher: Springer Berlin Heidelberg
Published in: Archive of Applied Mechanics / Issue 2/2020
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI: https://doi.org/10.1007/s00419-019-01617-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 2/2020

Passive vibration suppression of plate using multiple optimal dynamic vibration absorbers

Time-variant reliability modeling based on hybrid non-probability method

A receptance-based method for frequency assignment via coupling of subsystems

Dynamic modeling and simulation of a rotating flexible hub-beam based on different discretization methods of deformation fields

Surface Zener–Stroh crack model to slip band due to contact

Principal Sectorial coordinate system

Premium Partners