Research on the development of stress in corroding plates with a circular cut-out
D. G. Zelentsov, O. A. Radul
The Ukrainian State University of Chemical Engineering
Annotation: There is offered a solution of the problem of durability of a planar stressed corroding plate weakened with a circular cut-out. A general case of a corrosion interaction when corrosion rate depends on mechanical stresses is considered. The process of a plate deformation in a corrosive medium is modeled both by numerical solution of a Cauchy problem for the systems of differential equations describing the process of accumulating geometrical damages in structure components and by the finite elements method. To solve the Cauchy problem a special algorithm is used. This algorithm is based on the application of the analytical formula which defines a relationship between initial and finite values of a reduced stress at a point, the corrosive medium parameters, an initial thickness and time. Junctions of a finite-element mesh which in this case has a non-uniform spacing are used as these points. There is offered an adapted triangular finite element of a variable thickness with 12 degrees of freedom which provides the second order of approximation of a thickness function. Problems of a mode of deformation and durability are solved within a plane problem of the theory of elasticity. Results of the numerical experiment are given.
Keywords: planar-stressed plate, corrosive wear, stress concentrator, mode of deformation, durability, finite element of a variable thickness.
Pages: 97-104.
Link for citation: Zelentsov, D. G.; Radul, O. A. Research on the development of stress in corroding plates with a circular cut-out. – Text : electronic. – In: Metal Constructions. – 2009. – Vol. 15, N 2. – Р. 97-104. – URL: https://donnasa.ru/publish_house/journals/mk/2009-2/01_zelencov_radul.pdf (date of access: 03.07.2024). (in Russian)
Vol. 15, N 2 (2009)Journal: Metal Constructions
Publish house: Donbas National Academy of Civil Engineering and Architecture