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Journal of Mathematical Sciences

, Volume 90, Issue 2, pp 1972–1977 | Cite as

The linearized equations of propagation of elastic perturbations in a body with free strains

  • V. A. Osadchuk
  • I. B. Prokopovich
  • O. Z. Kravchishin
Article

Abstract

For a stressed isotropic Murnaghan body with free (“intrinsic”) strains we decluce the equations of propagation of small elastic perturbations in terms of the free strain tensors and the gradient of the displacement. The latter characterizes the total strain, that is, the nonlinear superposition of the free and elastic strains. We write out separately the equations for the case of a spherical free strain tensor.

Keywords

Residual Stress Elastic Strain Current Configuration Isotropic Body Elastic Potential 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • V. A. Osadchuk
  • I. B. Prokopovich
  • O. Z. Kravchishin

There are no affiliations available

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