Special Relativity, Tensors, And Energy Tensor: With Worked Problems by Datta Somnath;

Author:Datta, Somnath;
Language: eng
Format: epub
Publisher: World Scientific Publishing Company
Published: 2021-05-15T00:00:00+00:00

Fig. 5.4Stress force on a volume element.

We have shown in Fig. 5.4(a) the outward normal vectors (ex, ey, ez) on the three faces of the box that are exposed to our view. The outward normals on the other faces which are hidden from our view are (−ex, −ey, −ez). We shall identify each one of the six surfaces of the box by their outward normal vectors.

Let us consider the opposite faces abcd and efgh, recognized by the normals (ex) and (−ex). The locations of their centres are and respectively. The stress forces on these two faces are

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