Let us consider linearisation of constitutive equations for non-elastic solids in the context of the first and the second variants of the small initial deformations theory. We derive linearised constitutive equations for elastoplastic solids and solids with rheological properties (viscoelastic, viscous, viscoelastoplastic) by consistent linearisation of nonlinear equations (Sects. 5, 6) following the procedure (2.1)(2.5). We begin with the general case of small initial deformations and then specify the obtained relationships for the uniform initial states, in which displacements are defined by (2.69). For plastic solids the unloading (Fig. 2.1)


Plastic Strain Constitutive Equation Viscoelastic Solid Plastic Solid Contravariant Component 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • A. N. Guz
    • 1
  1. 1.Institute of MechanicsNational Academy of Sciences of UkraineKievUkraine

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