MOTIONS AND DISPLACEMENTS IN THE EUCLIDEAN SPACE

The measure of strain the uniform deformed zone in the process is defined with the change of the distance between anyone two points of this zone. The reduction the measure of strain to the unit of the initial distance of these points is obtained the deformation of the one- dimensional element of this zone. Accordingly, the deformation of some zone can be defined in the space which has defined metric, i.e. in the metric space. On the example the extension of the test bar is demonstrated that the change of the distance between the points is the function only the initial distance of these points. Therefore, the change the vector position between the points can be described with linear vector functions. In this paper, with the observation the change of the vector position between anyone two points, is defined strain of the uniform strained zone. For strain defined in this manner one the fixed point is necessary and she is independent of coordinate system. Key words: Euclidean space, uniform strain, strain vector. 1