On smoothly growing bodies and the eshelby tensor

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Abstract

A continuum mechanical theory of growing bodies is presented. It is assumed that the various parts of the body are identifiable. The growth of a body is manifested by mapping the identifiable elements of the growing body into a material manifold. Kinematics and stress theory are formulated on the basis of an infinite dimensional differentiable bundle structure for the configuration space. Stresses representing the forces associated with the growth of the body are analogous to the Eshelby tensor.

Original languageEnglish
Pages (from-to)507-518
Number of pages12
JournalMeccanica
Volume31
Issue number5
DOIs
StatePublished - 1 Jan 1996

Keywords

  • Eshelby tensor
  • Growing bodies
  • Kinematics
  • Thermomechanics of continua
  • Velocity field

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