Skip to main content

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 37))

Abstract

The transformation field analysis (TFA) of inelastic composite materials (Dvorak 1992) is extended here to fibrous composite laminates. Loading is limited to uniform in-plane stresses and out-of-plane normal stress, and to uniform changes in temperature. The solution for local stresses or strains in the plies is found in terms of elastic transformation influence functions and concentration factors which reflect a selected microgeometry representation of a unidirectional composite, and the constraints imposed on the in-plane strains of the perfectly bonded plies. This methodology is applied in simulations of hot isostatic pressing and subsequent loading of a (0/90)s Sigma/Timetal 21S laminate under axial tension/tension stress cycles applied at constant temperature.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Bahei-El-Din, Y.A. (1992) Uniform fields, yielding, and thermal hardening in fibrous composite laminates, Int. J. Plasticity 8, 867–892.

    Article  CAS  Google Scholar 

  • Bahei-El-Din, Y.A. (1994) VISCOPAC Finite Element Program for Viscoplastic Analysis of Composites, User’s Manual, Structural Engineering Department, Cairo University, Giza, Egypt.

    Google Scholar 

  • Bahei-El-Din, Y.A., Shah, R.S., and Dvorak, G.J. (1991) Numerical analysis of the rate-dependent behavior of high temperature fibrous composites, in S.N. Singhal, W.F. Jones, T. Cruse, and C.T. Herakovich (eds.), Mechanics of Composites at Elevated and Cryogenic Temperatures, ASME, New York, AMD-vol. 118, 67–78.

    Google Scholar 

  • Dvorak, G.J. (1991) Plasticity theories for fibrous composite materials, in R.K. Everett and R.J. Arsenault (eds.), Metal Matrix Composites, Mechanisms and Properties, vol. 2, Academic Press, Boston, 1–77.

    Google Scholar 

  • Dvorak, G.J. (1992) Transformation field analysis of inelastic composite materials, Proc. R. Soc. Lond. A 437, 311–327.

    Google Scholar 

  • Dvorak, G.J., Bahei-El-Din, Y.A. and Wafa, A.M. (1994a) Implementation of the transformation field analysis for inelastic composite materials, Computational Mechanics 14, 201–228.

    Article  Google Scholar 

  • Dvorak, G.J., Bahei-El-Din, Y.A. and Wafa, A.M. (1994b) The modeling of inelastic composite materials with the transformation field analysis, Modelling Simul. Mater. Sci. Eng. 2, 571–586.

    Article  Google Scholar 

  • Dvorak, G.J. and Benveniste, Y. (1992) On transformation strains and uniform fields in multiphase elastic media, Proc. R. Soc. Lond. A 437, 291–310.

    Google Scholar 

  • Dvorak, G.J., Chen, T. and Teply, J. (1992) Thermomechanical stress fields in high-temperature fibrous composites: II. Laminated plates, Composites Science and Technology 43, 359–368.

    Article  CAS  Google Scholar 

  • Dvorak, G.J. and Teply, J.L. (1985) Periodic hexagonal array models for plasticity analysis of composite materials, in A. Sawczuk and V. Bianchi (eds.), Plasticity Today: Modeling, Methods and Applications, W. Olszak Memorial Volume, Elsevier Science Publishers, Amsterdam, 623–642.

    Google Scholar 

  • Hill, R. (1964) Theory of mechanical properties of fibre-strengthened materials: I. Elastic behaviour, J. Mech. Phys. Solids 12, 199–212.

    Article  Google Scholar 

  • Hill, R. (1965) Theory of mechanical properties of fibre-strengthened materials: III. Self-consistent model, J. Mech. Phys. Solids 13, 189–198.

    Article  Google Scholar 

  • Mori, T. and Tanaka, K. (1973) Average stress in matrix and average elastic energy of materials with misfitting inclusions, Ada. Metall. 21, 571–574.

    Article  Google Scholar 

  • Teply, J.L. and Dvorak, G.J. (1988) Bounds on overall instantaneous properties of elastic-plastic composites, J. Mech. Phys. Solids 36, 29–58.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Dvorak, G.J., Bahei-El-Din, Y.A. (1995). Transformation Analysis of Inelastic Laminates. In: Pyrz, R. (eds) IUTAM Symposium on Microstructure-Property Interactions in Composite Materials. Solid Mechanics and Its Applications, vol 37. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0059-5_8

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-0059-5_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4031-0

  • Online ISBN: 978-94-011-0059-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics