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V. V. Struzhanov

ON ONE PROBLEM OF DETERMINING THE OPTIMAL RESIDUAL STRESS FIELD

DOI: 10.17804/2410-9908.2021.1.055-063

An operator equation is obtained, the solution of which is an intrinsic (residual) stress tensor reducing the stress level to zero in a predetermined region of a rigidly loaded elastic body. It is shown that the operator of this equation is a contraction operator and, therefore, this equation can be solved by the method of successive approximations. An example is given.

Keywords: residual stresses, energy Hilbert space, orthogonal subspaces, operator equation, contraction operator, successive approximations

References:

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Article reference

Struzhanov V. V. On One Problem of Determining the Optimal Residual Stress Field // Diagnostics, Resource and Mechanics of materials and structures. - 2021. - Iss. 1. - P. 55-63. -
DOI: 10.17804/2410-9908.2021.1.055-063. -
URL: http://eng.dream-journal.org/issues/2021-1/2021-1_296.html
(accessed: 03/29/2024).

 

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