Geodesic
On the method of orthogonal projections in the theory of elasticity
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 21 (2017) no. 2, pp. 308-325

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The method of orthogonal projections applied to the task of determining the stresses in the elastic deformable bodies, which allowed us to relax the requirements to the smoothness of the functions defining external forces and to the components of the tensor of the initial strains, which cause the appearance of balanced self-stresses. Examples of the calculation of quench stresses in a circular cylinder and residual stresses after shrinkage of the binder in composite cylinders made by winding are given.
Keywords: energy Hilbert subspaces, orthonormal system, orthoprojector, residual stresses.
Mots-clés : orthogonal spaces 
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     title = {On the method of orthogonal projections in the theory of elasticity},
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V. V. Struzhanov. On the method of orthogonal projections in the theory of elasticity. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 21 (2017) no. 2, pp. 308-325. http://geodesic.mathdoc.fr/item/VSGTU_2017_21_2_a7/