On the method of orthogonal projections in the theory of elasticity

V. V. Struzhanov

Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 21 (2017) no. 2, pp. 308-325.

Résumé

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.

Détail

Keywords: energy Hilbert subspaces, orthonormal system, orthoprojector, residual stresses.
Mots-clés : orthogonal spaces

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