Skip to main content
Top
Published in: Mechanics of Composite Materials 5/2021

27-11-2021

First-Ply Failure Behavior of Laminated Composite Skew Plates of Various Edge Conditions

Authors: D. Chatterjee, A. Ghosh, D. Chakravorty

Published in: Mechanics of Composite Materials | Issue 5/2021

Log in

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

search-config
loading …

Abstract

Applications of skew plates in the practical civil engineering are well-established. A look into the papers about the failure of laminated composite structural elements revealed that composite skew plates have not been studied for failure in detail. The first-ply failure load and frequency reduction due to such a failure are reported considering practical parametric variations of composite skew plates. Different well-established failure criteria, including the most recent Puck failure criterion, are used to investigate the first-ply failure response by the finite-element method. The results obtained are postprocessed to formulate specific recommendations regarding the relative behavior of different skew plate combinations in terms of the first-ply failure.

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!

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!

Literature
1.
go back to reference L. S. D. Morley, “Bending of clamped rectilinear plates,” J. Mech. Appl. Math., XVII, No. 3, 293-317 (1963).CrossRef L. S. D. Morley, “Bending of clamped rectilinear plates,” J. Mech. Appl. Math., XVII, No. 3, 293-317 (1963).CrossRef
2.
go back to reference J. B. Kennedy, “On the bending of clamped skewed plates under uniform pressure,” J. Royal Aero. Soc., 69, No. 653, 352-355 (1965).CrossRef J. B. Kennedy, “On the bending of clamped skewed plates under uniform pressure,” J. Royal Aero. Soc., 69, No. 653, 352-355 (1965).CrossRef
3.
go back to reference K. T. Sundara, R. Iyenger, and R. S. Srinivasan, “Clamped skewed plates under uniform normal loading,” J. Royal Aero. Soc., 71, No. 674, 139-140 (1966).CrossRef K. T. Sundara, R. Iyenger, and R. S. Srinivasan, “Clamped skewed plates under uniform normal loading,” J. Royal Aero. Soc., 71, No. 674, 139-140 (1966).CrossRef
4.
go back to reference C. V. Srinivasa, Y. J. Suresh, and W. P. P. Kumar, “Experimental and finite element studies on free vibration of skew plates,” Int. J. Adv. Struct. Eng., 6, No. 48, 1-11 (2014). C. V. Srinivasa, Y. J. Suresh, and W. P. P. Kumar, “Experimental and finite element studies on free vibration of skew plates,” Int. J. Adv. Struct. Eng., 6, No. 48, 1-11 (2014).
5.
go back to reference T. Rajaiah and A. K. Rao, “Exact analysis of simply supported rhombic plates under uniform pressure,” Math. Proc. Cambr. Phil. Soc., 76, No. 1, 381-388 (1974).CrossRef T. Rajaiah and A. K. Rao, “Exact analysis of simply supported rhombic plates under uniform pressure,” Math. Proc. Cambr. Phil. Soc., 76, No. 1, 381-388 (1974).CrossRef
6.
go back to reference M. Mukhopadhyay, “Finite strip method of analysis of clamped skewed plate in bending,” Proc. Inst. Civil Eng., 61, No. 2, 189-195 (1976). M. Mukhopadhyay, “Finite strip method of analysis of clamped skewed plate in bending,” Proc. Inst. Civil Eng., 61, No. 2, 189-195 (1976).
7.
go back to reference C. M. Wang, S. Kitipornchai, Y. Xiang, and K. M. Liew, “Stability of skew Mindlin plates under isotropic inplane pressure,” J. Eng. Mech., 119, No. 2, 393-401 (1993).CrossRef C. M. Wang, S. Kitipornchai, Y. Xiang, and K. M. Liew, “Stability of skew Mindlin plates under isotropic inplane pressure,” J. Eng. Mech., 119, No. 2, 393-401 (1993).CrossRef
8.
go back to reference K. M. Liew and J. B. Han, “Bending analysis of simply supported shear deformable skew plates,” J. Eng. Mech., 123, No. 3, 214-221 (1997).CrossRef K. M. Liew and J. B. Han, “Bending analysis of simply supported shear deformable skew plates,” J. Eng. Mech., 123, No. 3, 214-221 (1997).CrossRef
9.
go back to reference T. Muhammad and A. V. Singh, “A p-type solution for the bending of rectangular, circular, elliptic and skew plates,” Int. J. Solids Struct., 41, No. 15, 3977-3997 (2004).CrossRef T. Muhammad and A. V. Singh, “A p-type solution for the bending of rectangular, circular, elliptic and skew plates,” Int. J. Solids Struct., 41, No. 15, 3977-3997 (2004).CrossRef
10.
go back to reference D. Das, P. Sahoo, and K. Saha, “Large deflection analysis of skew plates under uniformly distributed load for mixed boundary conditions,” Int. J. Eng. Sci. Tech., 2, No. 4,100-112 (2010).CrossRef D. Das, P. Sahoo, and K. Saha, “Large deflection analysis of skew plates under uniformly distributed load for mixed boundary conditions,” Int. J. Eng. Sci. Tech., 2, No. 4,100-112 (2010).CrossRef
11.
go back to reference P. J. Chun, G. Fu, and Y. M. Lim, “Analytical solutions for skewed thick plates subjected to transverse loading,” Struct. Eng. Mech., 38, No. 5, 549-571 (2011).CrossRef P. J. Chun, G. Fu, and Y. M. Lim, “Analytical solutions for skewed thick plates subjected to transverse loading,” Struct. Eng. Mech., 38, No. 5, 549-571 (2011).CrossRef
12.
go back to reference R. L. Wankhade, “Geometric nonlinear analysis of skew plates using finite element method,” Int. J. Adv. Eng. Tech., 2, No. 2, 154-163 (2011). R. L. Wankhade, “Geometric nonlinear analysis of skew plates using finite element method,” Int. J. Adv. Eng. Tech., 2, No. 2, 154-163 (2011).
13.
go back to reference A. K. Upadhyay and K. K. Shukla, “Large deformation flexural behavior of laminated composite skew plates: An analytical approach,” Compos. Struct., 94, No. 12, 3722-3735 (2012).CrossRef A. K. Upadhyay and K. K. Shukla, “Large deformation flexural behavior of laminated composite skew plates: An analytical approach,” Compos. Struct., 94, No. 12, 3722-3735 (2012).CrossRef
14.
go back to reference B. Singh and S. Chakraverty, “Flexural vibration of skew plates using boundary characteristic orthogonal polynomials in two variables,” J. Sound Vib., 173, No. 2, 157-178 (1994).CrossRef B. Singh and S. Chakraverty, “Flexural vibration of skew plates using boundary characteristic orthogonal polynomials in two variables,” J. Sound Vib., 173, No. 2, 157-178 (1994).CrossRef
15.
go back to reference M. Barik and M. Mukhopadhyay, “Free flexural vibration analysis of arbitrary plates with arbitrary stiffeners,” J. Vib. Cont., 5, No. 5, 667-683 (1997).CrossRef M. Barik and M. Mukhopadhyay, “Free flexural vibration analysis of arbitrary plates with arbitrary stiffeners,” J. Vib. Cont., 5, No. 5, 667-683 (1997).CrossRef
16.
go back to reference M. Barik and M. Mukhopadhyay, “Finite element free flexural vibration analysis of arbitrary plates,” Fin. Elem. Anal. Des., 29, No. 2, 137-151 (1998).CrossRef M. Barik and M. Mukhopadhyay, “Finite element free flexural vibration analysis of arbitrary plates,” Fin. Elem. Anal. Des., 29, No. 2, 137-151 (1998).CrossRef
17.
go back to reference M. Gurses, O. Civalek, A. K. Korkmaz, and H. Ersoy, “Free vibration analysis of symmetric laminated skew plates by discrete singular convolution technique based on first-order shear deformation theory,” Int. J. Num. Meth. Eng., 79, No. 3, 290-313 (2009).CrossRef M. Gurses, O. Civalek, A. K. Korkmaz, and H. Ersoy, “Free vibration analysis of symmetric laminated skew plates by discrete singular convolution technique based on first-order shear deformation theory,” Int. J. Num. Meth. Eng., 79, No. 3, 290-313 (2009).CrossRef
18.
go back to reference I. Park, U. Lee, and D. Park, “Transverse vibration of the thin plates: Frequency-domain spectral element modeling and analysis,” Math. Prob. Eng., 1-15 (2015). I. Park, U. Lee, and D. Park, “Transverse vibration of the thin plates: Frequency-domain spectral element modeling and analysis,” Math. Prob. Eng., 1-15 (2015).
19.
go back to reference S. Wang, “Free vibration analysis of skew fiber-reinforced composite laminates based on first order shear deformation plate theory,” Comput. Struct., 63, No. 3, 525-538 (1997).CrossRef S. Wang, “Free vibration analysis of skew fiber-reinforced composite laminates based on first order shear deformation plate theory,” Comput. Struct., 63, No. 3, 525-538 (1997).CrossRef
20.
go back to reference M. K. Singha and M. Ganapathy, “Large amplitude free flexural vibrations of laminated composite skew plates,” Int. J. Nonlinear. Mech., 39, No. 10, 1709-1720 (2004).CrossRef M. K. Singha and M. Ganapathy, “Large amplitude free flexural vibrations of laminated composite skew plates,” Int. J. Nonlinear. Mech., 39, No. 10, 1709-1720 (2004).CrossRef
21.
go back to reference P. Malekzadeh, “A differential quadrature nonlinear free vibration analysis of laminated composite skew thin plates,” Thin Walled Struct., 45, No. 2, 237-249 (2007).CrossRef P. Malekzadeh, “A differential quadrature nonlinear free vibration analysis of laminated composite skew thin plates,” Thin Walled Struct., 45, No. 2, 237-249 (2007).CrossRef
22.
go back to reference M. K. Singha and R. Daripa, “Nonlinear vibration of symmetrically laminated composite skew plates by finite element method,” Int. J. Nonlinear Mech., 42, No. 9, 1144-1152 (2007).CrossRef M. K. Singha and R. Daripa, “Nonlinear vibration of symmetrically laminated composite skew plates by finite element method,” Int. J. Nonlinear Mech., 42, No. 9, 1144-1152 (2007).CrossRef
23.
go back to reference A. Kumar and A. Chakrabarti, “Failure analysis of laminated composite skew laminates,” Proc. Eng., 173, No. 2017, 1560-1566 (2017).CrossRef A. Kumar and A. Chakrabarti, “Failure analysis of laminated composite skew laminates,” Proc. Eng., 173, No. 2017, 1560-1566 (2017).CrossRef
24.
go back to reference G. J. Turvey, “An initial flexural failure analysis of symmetrically laminated cross-ply rectangular plates,” Int. J. Solids Struct., 16, No. 5, 451-463(1979).CrossRef G. J. Turvey, “An initial flexural failure analysis of symmetrically laminated cross-ply rectangular plates,” Int. J. Solids Struct., 16, No. 5, 451-463(1979).CrossRef
25.
go back to reference J. N. Reddy and A. K. Pandey, “A first ply failure analysis of composite laminates,” Compos. Struct., 25, No. 3, 371-393 (1987).CrossRef J. N. Reddy and A. K. Pandey, “A first ply failure analysis of composite laminates,” Compos. Struct., 25, No. 3, 371-393 (1987).CrossRef
26.
go back to reference T. Y. Kam and T. B. Jan, “First ply failure analysis of laminated composite plates based on the layerwise linear displacement theory,” Compos. Struct., 32, Nos. 1-4, 583-591 (1995).CrossRef T. Y. Kam and T. B. Jan, “First ply failure analysis of laminated composite plates based on the layerwise linear displacement theory,” Compos. Struct., 32, Nos. 1-4, 583-591 (1995).CrossRef
27.
go back to reference J. Echaabi, F. Trochu, X. T. Pham, and M. Ouellet, “Theoretical and experimental investigation of failure and damage progression of graphite epoxy composites in flexural bending test,” J. Reinf. Plast. Compos., 15, No. 7, 740-755 (1996).CrossRef J. Echaabi, F. Trochu, X. T. Pham, and M. Ouellet, “Theoretical and experimental investigation of failure and damage progression of graphite epoxy composites in flexural bending test,” J. Reinf. Plast. Compos., 15, No. 7, 740-755 (1996).CrossRef
28.
go back to reference B. G. Prusty, S. K. Satsangi, and C. Ray, “First ply failure analysis of laminated panels under transverse loading,” J. Reinf. Plast. Compos., 20, No. 8, 671-684 (2001).CrossRef B. G. Prusty, S. K. Satsangi, and C. Ray, “First ply failure analysis of laminated panels under transverse loading,” J. Reinf. Plast. Compos., 20, No. 8, 671-684 (2001).CrossRef
29.
go back to reference O. O. Ochoa and J. J. Engblom, “Analysis of progressive failure in composite,” Compos. Sci. Tech., 28, No. 2, 87-102 (1987).CrossRef O. O. Ochoa and J. J. Engblom, “Analysis of progressive failure in composite,” Compos. Sci. Tech., 28, No. 2, 87-102 (1987).CrossRef
30.
go back to reference S. Tolson and N. Zabaras, “Finite element analysis of progressive failure in laminated composite plates,” Comput. Struct., 38, No. 3, 361-376 (1991).CrossRef S. Tolson and N. Zabaras, “Finite element analysis of progressive failure in laminated composite plates,” Comput. Struct., 38, No. 3, 361-376 (1991).CrossRef
31.
go back to reference P. Pal and C. Ray, “Progressive failure analysis of laminated composite plate by finite element method,” J. Reinf. Plast. Compos., 21, No. 16, 1505-1513 (2002).CrossRef P. Pal and C. Ray, “Progressive failure analysis of laminated composite plate by finite element method,” J. Reinf. Plast. Compos., 21, No. 16, 1505-1513 (2002).CrossRef
32.
go back to reference B. Chattopadhyay, P. K. Sinha, and M. Mukhopadhyay, “Geometric nonlinear analysis of composite stiffened plate using finite element,” Compos. Struct., 31, No. 2, 107-118 (1995).CrossRef B. Chattopadhyay, P. K. Sinha, and M. Mukhopadhyay, “Geometric nonlinear analysis of composite stiffened plate using finite element,” Compos. Struct., 31, No. 2, 107-118 (1995).CrossRef
33.
go back to reference T. Y. Kam, H. F. Sher, T. N. Chao, and R. R. Chang, “Predictions of deflection and first ply failure load of thin laminated composite plates via the finite element approach,” Int. J. Solids Struct., 33, No. 3, 375-398 (1996).CrossRef T. Y. Kam, H. F. Sher, T. N. Chao, and R. R. Chang, “Predictions of deflection and first ply failure load of thin laminated composite plates via the finite element approach,” Int. J. Solids Struct., 33, No. 3, 375-398 (1996).CrossRef
34.
go back to reference G. S. Padhi, R. A. Shenoi, S. S. J. Moy, and G. L. Hawkins, “Progressive failure and ultimate collapse of laminated composite plates in bending,” Compos. Struct., 40, No. 3, 277-291 (1998). G. S. Padhi, R. A. Shenoi, S. S. J. Moy, and G. L. Hawkins, “Progressive failure and ultimate collapse of laminated composite plates in bending,” Compos. Struct., 40, No. 3, 277-291 (1998).
35.
go back to reference Y. S. N. Reddy and J. N. Reddy, “Linear and nonlinear failure analysis of composite laminates with transverse shear,” Compos. Sci. Technol., 44, No. 3, 227-255 (1992).CrossRef Y. S. N. Reddy and J. N. Reddy, “Linear and nonlinear failure analysis of composite laminates with transverse shear,” Compos. Sci. Technol., 44, No. 3, 227-255 (1992).CrossRef
36.
go back to reference T. Y. Kam and F. M. Lai, “Experimental and theoretical predictions of first ply failure strength of laminated composite plates,” Int. J. Solids Struct., 36, No. 16, 2379-2395 (1999).CrossRef T. Y. Kam and F. M. Lai, “Experimental and theoretical predictions of first ply failure strength of laminated composite plates,” Int. J. Solids Struct., 36, No. 16, 2379-2395 (1999).CrossRef
37.
go back to reference Y. S. N. Reddy, C. M. Dakshina Moorthy, and J. N. Reddy, “Nonlinear progressive failure analysis of laminated composite plates,” Int. J. Nonlinear Mech., 30, No. 5, 629-649 (1995).CrossRef Y. S. N. Reddy, C. M. Dakshina Moorthy, and J. N. Reddy, “Nonlinear progressive failure analysis of laminated composite plates,” Int. J. Nonlinear Mech., 30, No. 5, 629-649 (1995).CrossRef
38.
go back to reference H. S. Das and D. Chakravorty, “Design aids and selection guidelines for composite conoidal shell roofs - A finite element application,” J. Reinf. Plast. Compos., 26, No. 17, 1793-1819 (2007).CrossRef H. S. Das and D. Chakravorty, “Design aids and selection guidelines for composite conoidal shell roofs - A finite element application,” J. Reinf. Plast. Compos., 26, No. 17, 1793-1819 (2007).CrossRef
Metadata
Title
First-Ply Failure Behavior of Laminated Composite Skew Plates of Various Edge Conditions
Authors
D. Chatterjee
A. Ghosh
D. Chakravorty
Publication date
27-11-2021
Publisher
Springer US
Published in
Mechanics of Composite Materials / Issue 5/2021
Print ISSN: 0191-5665
Electronic ISSN: 1573-8922
DOI
https://doi.org/10.1007/s11029-021-09989-4

Other articles of this Issue 5/2021

Mechanics of Composite Materials 5/2021 Go to the issue

Premium Partners