Lamé's Ellipsoid and Mohr's Circles (Part 3: Meridians)
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For a continuous body, the stress tensor is a symmetric matrix representing the stresses at a point. The traction vector on a plane defined by its unit normal vector is the matrix product of the stress tensor with . The stress tensor has three real eigenvalues (the principal stresses, , , and ) and three associated eigenvectors (the principal directions). In the coordinate system defined by these eigenvectors, the Lamé's ellipsoid represents the locus of the traction vector heads.
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Contributed by: Luis Martín Yagüe, Agustín Lacort Echeverría, and Antonio Sánchez Parandiet (March 2011)
After work by: Eugenio Bravo Sevilla
Open content licensed under CC BY-NC-SA
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