Abstract
Modified algorithm of the 3d finite element analysis developed for solution of external boundary problem is considered. The method in question is based on incorporating the FEM and Somigliana’s integral formula. Efficiency of software implementations of the algorithm has been tested. A stress-strain analysis of inhomogeneous medium with a cavity has been carried out to display the approach.
Highlights
The underground non-reinforced caverns subjected to internal pressure or any other loads are often used in construction and mining as the gas or oil storages or for the waste dumping
Figure1. (a) Underground oil storage in a cavern (b) Underground karst caverns
In many cases of practical importance the analysis of structures considering their interaction with infinite foundation or the surrounding elastic medium is based on numerical solution of the threedimensional external boundary problem [12-14]
Summary
The underground non-reinforced caverns subjected to internal pressure or any other loads are often used in construction and mining as the gas or oil storages or for the waste dumping (see Fig., a). In many cases of practical importance the analysis of structures considering their interaction with infinite foundation or the surrounding elastic medium is based on numerical solution of the threedimensional external boundary problem [12-14]. When the BEM approach application is considered the analysis of interaction of a structure and of inhomogeneous medium occurs inconvenient, as well as the case of domains with several cavities, these problems are not rare in practice. These specifics of the boundary problem in the case of infinite domain cause some computational complications and increase the computing cost [20, 21]. The algorithm based on combining the FEM facilities and Somigliana’s integral formula, combined method (CM), is considered and its efficiency displayed [28-30]
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