Implicit constitutive relations are discussed for elastic, electro- and magneto-elastic, and thermo-elastic bodies. Approximations of implicit constitutive equations for electro-elastic bodies are developed when the displacement gradient is small, while in the case of the constitutive equations for thermo-elastic bodies approximations are developed when both the displacement gradient and the heat flux are small. Boundary-value problems are solved confining attention to some specific forms of implicit constitutive relations.

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A Review of Implicit Constitutive Theories to Describe the Response of Elastic Bodies

  • Roger Bustamante,
  • Kumbakonam Rajagopal

摘要

Implicit constitutive relations are discussed for elastic, electro- and magneto-elastic, and thermo-elastic bodies. Approximations of implicit constitutive equations for electro-elastic bodies are developed when the displacement gradient is small, while in the case of the constitutive equations for thermo-elastic bodies approximations are developed when both the displacement gradient and the heat flux are small. Boundary-value problems are solved confining attention to some specific forms of implicit constitutive relations.