Skip to main content
Log in

On patched variational principles in elasticity

  • Research Note
  • Published:
Journal of Elasticity Aims and scope Submit manuscript

Abstract

In this paper we show how to use a combination of variational principles, each for a given subregion of the underlying region of space, so as to best utilize the chief benefits of the individual principles.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Gurtin M. E., “The Linear Theory of Elasticity”, Handbuch der Physik, Vol. VIa/2, Berlin-Heidelberg-New York, Springer-Verlag, 1972.

    Google Scholar 

  2. Tong P. and Pian T. H. H., “A Variational Principle and the Convergence of a Finite Element Method Based on Assumed Stress Distribution”, International Journal of Solids and Structures, 5, (1969) 463–472.

    Google Scholar 

  3. Fix G. J. and Gurtin M. E., “On Patched Variational Principles with Application to Elliptic and Mixed Elliptic-Hyperbolic Problems”, Numerische Mathematik, 28 (1977) 259–271.

    Google Scholar 

  4. Fix, G. J., Gunzburger, M., and Nicolaides, R. A., “On Mixed Finite Element Methods. I. The Kelvin Problem“, Numerische Mathematik, Forthcoming.

  5. Fix, G. J., Gunzburger, M., and Nicolaides, R. A., “Theory and Applications of Mixed Finite Element Methods”, Constructive Approaches to Mathematical Models, A Symposium in Honor of R. J. Duffin, Carnegie-Mellon University, July 10–14, 1978.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gurtin, M.E. On patched variational principles in elasticity. J Elasticity 10, 329–332 (1980). https://doi.org/10.1007/BF00127453

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00127453

Keywords

Navigation