Skip to main content
SpringerLink
Log in

On the Boundary Value Problems of Linear Elasticity with Constraints

  • Published:
Journal of Elasticity Aims and scope Submit manuscript

Abstract

In this paper classic boundary value problems of linear elastostatics are studied. Displacement, mixed and traction type boundary conditions are considered for an internally constrained, non-homogeneous, anisotropic material. Existence of solutions and constraint stability results are presented.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. D.N. Arnold and R.S. Falk, Well-posedness of the fundamental boundary value problem for constrained anisotropic elastic materials. Arch. Rat. Mech. Anal. 98 (1987) 143-165.

    Article  MATH  MathSciNet  Google Scholar 

  2. K. Deimling, Nonlinear Functional Analysis. Berlin-Heidelberg-New York, Springer-Verlag, (1985).

    MATH  Google Scholar 

  3. R. Hünlich and J. Naumann, On general boundary value problems and duality in Linear Elasticity 1, Aplikace Matematiky 23 (1978) 208-230.

    MATH  MathSciNet  Google Scholar 

  4. J.E. Marsden and J.R. Hughes, Mathematical Foundations of Elasticity. Englewood Cliffs, Prentice-Hall (1983).

    MATH  Google Scholar 

  5. R. Rostamian, Internal constraints in linear elasticity, J. Elasticity 11 (1981) 11-31.

    Article  MATH  MathSciNet  Google Scholar 

  6. R. Rostamian, Continuity properties of stationary points of quadratic functionals in Hilbert space Numer. Funct. Anal. and Optimiz. 3 (1981) 147-167.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departamento de Matemática, Universidade, Federal de Uberlândia, M.G., Brazil; e-mail marcio@ufu.br

    Márcio José Horta Dantas

Authors
  1. Márcio José Horta Dantas
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dantas, M.J.H. On the Boundary Value Problems of Linear Elasticity with Constraints. Journal of Elasticity 54, 93–111 (1999). https://doi.org/10.1023/A:1007684725426

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1007684725426

Search

Navigation