Constitutive Equations

  • Victor A. Eremeyev
  • Leonid P. Lebedev
  • Holm Altenbach
Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)


For an arbitrary part of the body, Eqs. (3.30) and (3.31) express the balance equations for the moment and the moment of momentum. These six scalar equations contain 18 unknown quantities that are the components of tensors \(\mathbf{ T} \) and \(\mathbf{ M} \). The dependence of \(\mathbf{ T} \) and \(\mathbf{ M} \) on medium deformations is determined by the constitutive equations or constitutive relations that depend on the material properties. They are determined experimentally. The constitutive equations must obey some principles that restrict their form, see [1].


Strain Energy Density Reference Configuration Micropolar Fluid Cosserat Continuum Micropolar Elasticity 
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© The Author(s) 2013

Authors and Affiliations

  • Victor A. Eremeyev
    • 1
  • Leonid P. Lebedev
    • 2
  • Holm Altenbach
    • 3
  1. 1.Halle-WittenbergMartin-Luther-UniversitätHalleGermany
  2. 2.Universidad Nacional de ColombiaBogotáColombia
  3. 3.Fakultät für Maschinenbau, Lehrstuhl für Technische Mechanik, Institut für MechanikOtto-von-Guericke-Universität MagdeburgMagdeburgGermany

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