Change of constitutive relations due to interaction between strain-gradient effect and material gradation

Youn Sha Chan, Glaucio H. Paulino, Albert C. Fannjiang

Research output: Contribution to journalArticle

Abstract

For classical elasticity, the constitutive equations (Hooke's law) have the same functional form for both homogeneous and nonhomogeneous materials. However, for straingradient elasticity, such is not the case. This paper shows that for strain-gradient elasticity with volumetric and surface energy (Casal's continuum), extra terms appear in the constitutive equations which are associated with the interaction between the material gradation and the nonlocal effect of strain gradient. The corresponding governing partial differential equations are derived and their solutions are discussed.

Original languageEnglish (US)
Pages (from-to)871-875
Number of pages5
JournalJournal of Applied Mechanics, Transactions ASME
Volume73
Issue number5
DOIs
StatePublished - Sep 1 2006

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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