STRESS-DEFORMED STATE HALF- SPACE WHICH INCLUDES A PRESSURE POINT SOURCE INSIDE

UDC 624.15.001

Authors

Shashenko A.N., D.Sc. (Tech.), Professor 

Shapoval V.G., D.Sc. (Tech.), Professor  (State HEI ―NMU)

Morklyanik B.V., Ph.D. (Tech.), Associate Professor (NU «LP») 

Shapoval A.V., Ph.D. (Tech.), Associate Professor  (PSACEA) 

 

Abstract. The purpose of the study was to consider the possibility an adequate definition of the stress-deformed state (SDS) of grounds of basis at the appearance of a pressure source. The current approach is based on the fundamental decisions and the principle of superposition. However, there is no solution to the problem of determining the SDS of grounds of basis, taking into account their place in phase transitions, such as the freezing of pore fluid.

This  paper  presents  an  exact  analytical  solution  of  the  fundamental  problem  concerning  the SDS of the elastic half-space, which includes a point source of pressure inside. The resulting fundamental solution will expand the class of problems of definition of SDS of grounds  of  basis  and  rock  mass  tasks,  which  cause  stresses  and  deformed  are  occurring  in  these physical processes caused by phase transitions. These include the problem of determining the SDS of grounds of basis and the rock mass area around the workings in the ground frost heave, high-pressure  injection,  artificial  freezing  of  ground,  heaving  rocks,  evaluation  of  the  stress-deformed state of the matrix in the process of crystal growth of the solid phase, etc.

Keywords: grounds of basis, rock mass, stress-deformed state, the phase transition.

REFERENCES

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About the authors

Shashenko Alexander Nikolaevich, Academician of the Academy of Mining Sciences of Ukraine, Doctor of Technical Sciences (D.Sc.), Professor, Head of the construction, geotechnics and geomechanics, National Mining University (NMU), Dnepropetrovsk, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

Shapoval  Vladimir  Ghrigorevich,  Doctor  of  Technical  Sciences  (D.Sc.),  Professor,  Professor  in  Department  of  construction,  geotechnics  and  geomechanics,  National  Mining  University  (NMU),  Dnepropetrovsk, Ukraine, E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Morklyanik Bogdan Vasilevich, Candidate of Technical Sciences (Ph.D.), Associate Professor, Associate Professor in Department of Bridges and Building Mechanics, National University "Lvov Polytechnic" (NU LP), Lvov, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

Shapoval Andrey Vladimirovich, Candidate of Technical Sciences (Ph.D.), Associate Professor, Associate Professor in Department of Theoretical Mechanics, Pridneprovskaya State Academy of Civil Engineering and Architecture (PSACEA), Dnepropetrovsk, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

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