A thermodynamic framework for the superplastic response of materials

K. R. Rajagopal, N. Chandra

Research output: Contribution to journalConference articlepeer-review

5 Scopus citations


Over the years, a number of constitutive equations have been proposed to model the ther-momechanical behaviour of superplastic materials. Most of those relations were motivated by phenemenological observations and restricted to uniaxial forms at (high homologous) superplastic temperatures. Not only do they lack the rigor of mechanics (e.g. finite deformation, frame invariance, three dimensional form) but also do not potrary the post-formed room temperature response. The latter is an important criterion in determining if a superplastically formed component can be used in a critical industrial application. In this work, we attempt to address these concerns by developing superplastic constitutive relationships within the frame work of nonlinear mechanics and thermodynamics by invoking the concept of natural configurations. This is an imposing but important task. This work (the first in a series of papers) outlines the basic principles of such a formulation and enumerates the restrictions arising from the structural and mechanical observations of superplastic materials in different temperature regimes.

Original languageEnglish (US)
Pages (from-to)261-272
Number of pages12
JournalMaterials Science Forum
StatePublished - 2001
Externally publishedYes
EventSuperplasticity in Advanced Materials (ICSAM-2000) - Orlando, FL, United States
Duration: Aug 1 2000Aug 4 2000

All Science Journal Classification (ASJC) codes

  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


  • Constitutive equation
  • Natural configurations
  • Superplastic response
  • Thermodynamics


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