Flexional deformations of line and material surfaces

Laboratory of Rock Deformation

The description of the bending and torsion of lines and material surfaces using tensors is formulated, based on differential geometry in material and spatial coordinates. Various measures of deformation are provided, to express the variations of curvature and torsional deflection. The third order tensor is determined, enabling the full description of bending and torsion of an arbitrary surface and allowing us to find the vector expressing the curvature change for any curve line.

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