Skip to main content
Log in

Material systems —A framework for the description of material behavior

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

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.

References

  • Alts: Thermodynamik elastischer Körper mit thermokinematischen Zwangsbedingungen — fadenverstärkte Materialien. Technische Universität Berlin. 1979.

    Google Scholar 

  • Andreussi & Podio Guidugli: Thermomechanical constraints in simple materials. Bull. Acad. Polon. Sci., Sér. sci. techn. 21, 4. 1973.

    Google Scholar 

  • Bertram (1): Materielle Systeme mit inneren Zwangsbedingungen. Doctoral thesis. Technische Universität Berlin. 1980.

    Google Scholar 

  • Bertram (2): An introduction of internal constraints in a natural way. ZAMM 60, p. 100, 1980.

    Google Scholar 

  • Bertram & Haupt: A note on Andreussi/Guidugli's theory of thermomechanical constraints in simple materials. Bull. Acad. Polon. Sci., Sér. Sci. techn., 24, 1. 1976.

    Google Scholar 

  • Bourbaki: Topologie générale. Chap. II, 2. Paris. 1965.

  • Bridgman: The thermodynamics of plastic deformation and generalized entropy. Rev. mod. phys. 22, 1. 1950.

    Google Scholar 

  • Coleman & Owen: A mathematical foundation for thermodynamics. Arch. Rational Mech. Anal. 54, 1. 1974.

    Google Scholar 

  • Fichera: Boundary value problems of elasticity with unilateral constraints. Handbuch der Physik VI a/2. Ed. Truesdell. Berlin, Heidelberg, New York. 1972. p. 391.

  • Giles: Mathematical foundations of thermodynamics. Oxford, London, New York, Paris. 1964.

  • Green, Naghdi & Trapp: Thermodynamics of a continuum with internal constraints. Int. J. Engng. Sci., 8. 1970. pp. 891–908.

    Google Scholar 

  • Gurtin & Podio Guidugli: The thermodynamics of constrained materials. Arch. Rational Mech. Anal. 51, 3. 1973.

    Google Scholar 

  • Hausdorff: Grundzüge der Mengenlehre. New York. 1949.

  • Michael: Topologies on spaces of subsets. Tran. Am. Math. Soc. 71. 1951.

  • Noll: A new mathematical theory of simple materials. Arch. Rational Mech. Anal. 48, 1. 1972.

    Google Scholar 

  • Onat in IUTAM 1966. Symposium. Ed. Parkus & Sedov. Wien. 1968. p. 292–313.

  • Onat in IUTAM 1968. Symposium. Ed. Boley. Berlin, Heidelberg, New York. 1970. p. 213–225.

  • Owen: A mechanical theory of materials with elastic range. Arch. Rational Mech. Anal. 37, 2. 1970. p. 85.

    Google Scholar 

  • Perzyna & Kosínski: A mathematical theory of materials. Bull. Acad. Polon. Sci., Sér. sci. techn. 21, 12. 1973.

    Google Scholar 

  • Perzyna: A gradient theory of rheological materials with internal structural changes. Arch. Mech. 23, 6. 1971. pp. 845–850.

    Google Scholar 

  • Del Piero: On the elastic-plastic material element. Arch. Rational Mech. Anal. 59, 2. 1975. p. 111.

    Google Scholar 

  • Prager: On elastic, perfectly locking materials. in: Applied mechanics. Ed. Görtler. Berlin. 1966.

  • Schubert: Topologie. Stuttgart. 1964.

  • Šilhavý & Kratochvíl: A theory of inelastic behavior of materials. Arch. Rational Mech. Anal. 65, 2. 1977.

    Google Scholar 

  • Truesdell & Noll: The non-linear field theories of mechanics. Handbuch der Physik. III/3. Ed. Flügge. Berlin, Heidelberg, New York. 1965.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by D. Owen

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bertram, A. Material systems —A framework for the description of material behavior. Arch. Rational Mech. Anal. 80, 99–133 (1982). https://doi.org/10.1007/BF00250738

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00250738

Keywords

Navigation