Elsevier

Nuclear Engineering and Design

Volume 83, Issue 3, 2 December 1984, Pages 389-396
Nuclear Engineering and Design

Constitutive relationships for anisotropic high-temperature alloys

https://doi.org/10.1016/0029-5493(84)90131-6Get rights and content

Abstract

A constitutive theory is presented for representing the anisotropic viscoplastic behavior of high-temperature alloys that possess directional properties resulting from controlled grain growth or solidification. The theory is an extension of a viscoplastic model that has been applied in structural analyses involving isotropic metals. Anisotropy is introduced through the definition of a vector field that identifies a preferential (solidification) direction at each material point. Following the development of a full multiaxial theory, application is made to homogeneously stressed elements in pure shear and to a uniaxially stressed rectangular block in plane stress with the stress direction oriented at an arbitrary angle with the material direction. It is shown that an additional material parameter introduced to characterize the degree of anisotropy can be determined on the basis of simple creep tests.

References (12)

  • D.N. Robinson

    A unified creep-plasticity model for structural metals at high temperature

    ORNL/TM 5969

    (1978)
  • D.N. Robinson et al.

    Unified creep-plasticity constitutive equations for 214CR-1MO steel at elevated temperature

    ORNL/TM-8444

    (1982)
  • J.R. Rice

    J. Appl. Mech.

    (1970)
  • A.R.S. Ponter et al.

    J. Eng. Mater. Technol.

    (1976)
  • K.C. Valanis

    The viscoelastic potential and its thermodynamic foundations

  • D.N. Robinson

    On the concept of a flow potential and the stress-strain relations of reactor systems metals

    ORNL/TM 5571

    (1976)
There are more references available in the full text version of this article.

Cited by (30)

  • Constitutive modeling of viscoplastic deformation of polymer matrix composites

    2010, Creep and Fatigue in Polymer Matrix Composites
View all citing articles on Scopus

Research sponsored by the National Aeronautics and Space Administration, Lewis Research Center, Cleveland, OH, 44135, USA.

View full text