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A note on the compatibility equations for three-dimensional axisymmetric problems. (English) Zbl 1446.74070

Summary: For three-dimensional axisymmetric problems, the six compatibility equations for infinitesimal strains reduce to four, but these can be further reduced to only three equations. This is illustrated for both the Saint-Venant and the Beltrami-Michell compatibility equations. As a consequence, there is only one nontrivial differential relationship among the three compatibility equations for three-dimensional axisymmetric problems.

MSC:

74A05 Kinematics of deformation
74A10 Stress
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