In this section we derive in the general form linearised relationships relevant to the description of the states of stress and strain, equations of motion and boundary conditions within the scope of the finite (large) initial deformations theory. After that a consistent transition to several variants of the small initial deformations theory will be made. As the relationships considered in this section are common for all types of solids (elastic, elastoplastic, solids with rheological properties), in order to obtain full statement of the problem for particular solid they are to be complemented by appropriate linearised constitutive equations which will be discussed in the next two sections.


Deformation Theory Solid Mechanic Strain Rate Tensor Initial Deformation Incompressibility Condition 
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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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