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INFLUENCE OF DEVIATION FROM DESIGN CROSS-SECTION SHAPE ON STRESS STATE OF UNDERGROUND STRUCTURES
Abstract
The deviation from the design shape of an underground structure cross-section and its influence on the structure stress state are under consideration. External loads, corrosion and peculiarities of construction techniques, are assumed as the most probable causes of the deviation. The influence of shape changing is estimated by the analytical design method for multilayer underground structures with layers of variable thickness. The method is based on a rigorous analytical solution of the corresponding plane problem of elasticity theory. The problem has been solved using theory of functions of complex variables, conformal mappings and Faber polynomials. The following examples of the design are under consideration: the sewer tunnel lining corroded in the upper part by sulphuric acid produced by thiobacteria, the lining of a tunnel driven by shield technology and the shaft support subjected to re-freeze load. Dependencies of stresses on parameters of the form deviation are shown.
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References4
Muskhelishvili N.I. Some basic problems of the mathematical theory of elasticity, 1977.
Fotieva N.N., Sammal A.S. Designing multi-layer linings of an arbitrary cross-section shape in tectonic areas, Underground construction, Cracow, Poland, 25-27 September 2000, pp 171-177;
Fotieva N.N., Bulychev N.S., Sammal T.G. Decrease of sewerage tun-nel linings bearing capasity due to corrosion, Geotechnological Issues of Underground Space Use for Environmentally Protected World. Proc. of the Int. Symp., Dnipropetrovsk, Ukraine, 26-29 June 2001, pp 249-251.
Sammal A.S., Afanasova O.V., Levischeva O.M. Geomechanical estimation of the effectiveness of sewer tunnel repair by the "pipe in pipe" technology, Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, Issue 3, 2016, pp 71-77;
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