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where uv is the displacement and a subscript after a comma denotes differentiation with respect to the corresponding coordinate. The geometrical significance of these strain components is the following. Let us consider the system (0, ej1', e-2), e-3)) of the particle 0 of the body and the three unit vectors e,-1', ef\ e<3) which are parallel to the axes of the fixed coordinate system. The deformation brings 0 to Oj , and e"', eTM, e,(3) to 9i2\ g?\ respectively. The strain components gva are given by the formulas

Variational principles in the theory of finite plastic deformations