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Semiholonomic Second Order Connections Associated with Material Bodies

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  • Jaroslav Hrdina
  • Petr Vašík

Abstract

The thermomechanical behavior of a material is expressed mathematically by means of one or more constitutive equations representing the response of the body to the history of its deformation and temperature. These settings induce a set of connections which can express local properties. We replace two of them by a second order connection and prove that the holonomity of this connection classifies our materials.

Suggested Citation

  • Jaroslav Hrdina & Petr Vašík, 2013. "Semiholonomic Second Order Connections Associated with Material Bodies," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-5, February.
    • Handle: RePEc:hin:jnljam:840936
    DOI: 10.1155/2013/840936
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