Skip to main content
SpringerLink
Log in

Nonlocal Nonlinear Analysis of Composites

  • Conference paper
  • First Online:
Advanced Materials (PHENMA 2017)

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 207))

Abstract

In this work, we present the behaviour of laminated composite plates, subjected to a static bending load under the influence of varying value of material length scale parameters . Reddy’s (J Appl Mech 51:745, 1984 [1]) third order shear deformation theory (TSDT) is used, which describes the kinematics accurately. The geometric nonlinearity, which prevails under the effect of large deformations, is accounted using von Karman nonlinear strains. Finite element model is developed using four-noded rectangular conforming element. Tangent stiffness matrix is derived to implement Newton Raphson method. The concept of non-locality is adopted from the works of Eringen and Edelen (Int J Eng Sci 10:233, 1972 [2]). Parametric study has been conducted to investigate the effect of non-locality and non-linearity on the behaviour of laminated composites.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 219.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 279.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 279.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. J.N. Reddy, J. Appl. Mech. 51, 745 (1984)

    Article  Google Scholar 

  2. A.C. Eringen, D.G.B. Edelen, Int. J. Eng. Sci. 10, 233 (1972)

    Article  Google Scholar 

  3. Z.P. Bažant, M.D. Isaac, L. Zhengzhi, Trans. ASME 118, 317 (1996)

    Article  Google Scholar 

  4. Z.P. Bažant, J. Milan, Am. Soc. Civil Eng. 128, 11 (2002)

    Google Scholar 

  5. Z. Zhen-Gong, H. Jie-Cai, D. Shan-Yi, Int. J. Solids Struct. 36, 3891 (1999)

    Google Scholar 

  6. P. John, R.B. George, P.M. Richard, Int. J. Eng. Sci. 128, 305 (2003)

    Google Scholar 

  7. M. Jirásek, Acta Polytech. 44, 16 (2004)

    Google Scholar 

  8. J.N. Reddy, Int. J. Eng. Sci. 45, 288 (2007)

    Article  CAS  Google Scholar 

  9. M. Aydogdu, Phys. E 41, 861 (2009)

    Article  CAS  Google Scholar 

  10. S. Adhikari, T. Murmu, M.A. McCarthy, Phys. E 59, 33 (2014)

    Article  CAS  Google Scholar 

  11. R.D. Mindlin, ASME J. Appl. Mech. 18, 31 (1951)

    Google Scholar 

  12. P. Raghu, K. Preethi, A. Rajagopal, J.N. Reddy, Compos. Struct. 139, 13 (2016)

    Article  Google Scholar 

  13. K. Preethi, P. Raghu, A. Rajagopal, J. N. Reddy, Mech. Adv. Mater. Struct. 1 (2017)

    Google Scholar 

  14. F. Mahmoud, M.A. Eltaher, A.E. Alshorbagy, E.I. Meletis, J. Mech. Sci. Technol. 26, 3555 (2012)

    Article  Google Scholar 

  15. R. Barretta, L. Feo, R. Luciano, Compos. B Eng. 72, 217 (2015)

    Google Scholar 

  16. F. Ebrahimi, M.R. Barati, A. Dabbagh, Int. J. Eng. Sci. 107, 169 (2016)

    Article  Google Scholar 

  17. J.N. Reddy, An Introduction to Nonlinear Finite Element Analysis (Oxford University Press, Oxford, 2015)

    Google Scholar 

Download references

Acknowledgements

The authors would like to acknowledge the financial support of Indian-Russian Collaborative project grant from DST—RFBR (DST/INT/RFBR/IDIR/P-11/2016 and RFBR 16-58-48009 IND_omi).

Author information

Authors and Affiliations

  1. Civil Engineering Department, Indian Institute of Technology Hyderabad, Sangareddy, India

    P. Raghu & A. Rajagopal

  2. I. I. Vorovich Institute of Mathematics, Mechanics and Computer Science, Southern Federal University, Rostov-on-Don, Russia

    Anna A. Nasedkina & Andrey V. Nasedkin

  3. Material Science and Metallurgical Engineering, Indian Institute of Technology Hyderabad, Sangareddy, India

    B. Saswata

Authors
  1. P. Raghu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Anna A. Nasedkina
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Andrey V. Nasedkin
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. Rajagopal
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. B. Saswata
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. Rajagopal .

Editor information

Editors and Affiliations

  1. I. I. Vorovich Mathematics, Mechanics and Computer Sciences Institute, Southern Federal University, Rostov-on-Don, Russia

    Ivan A. Parinov

  2. Department of Microelectronics Engineering, National Kaohsiung University of Science and Technology, Kaohsiung, Taiwan

    Shun-Hsyung Chang

  3. Indian Institute of Information Technology, Design and Manufacturing, Jabalpur, Jabalpur, Madhya Pradesh, India

    Vijay K. Gupta

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG, part of Springer Nature

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Raghu, P., Nasedkina, A.A., Nasedkin, A.V., Rajagopal, A., Saswata, B. (2018). Nonlocal Nonlinear Analysis of Composites. In: Parinov, I., Chang, SH., Gupta, V. (eds) Advanced Materials . PHENMA 2017. Springer Proceedings in Physics, vol 207. Springer, Cham. https://doi.org/10.1007/978-3-319-78919-4_23

Download citation

Publish with us

Policies and ethics

Search

Navigation