Refined mechanical and mathematical model of an elastic half-plane

Authors

DOI:

https://doi.org/10.54355/tbus/2.1.2022.0014

Keywords:

elastic foundation, half-plane, displacements, stresses, deformation, distribution function

Abstract

Loads cause vertical movements of the foundations of all the structures. Their magnitude determines the building safe operation. A closed analytical solution to the problem of the linear elastic theory for the distribution of stresses and strains in a homogeneous isotropic elastic foundation has been presented. The article considers the calculation of the stress-strain state of an elastic half-plane by the method in displacement functions. The theory of calculating an elastic half-plane has been built. New formulas have been are found that determine displacements and stresses at any points of an elastic foundation. An example of calculating an elastic half-plane under the action of a normal and tangential loads has been given.

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Published

2022-03-24

How to Cite

Akhazhanov, S., Baltabai, D., & Nurlanova, B. (2022). Refined mechanical and mathematical model of an elastic half-plane. Technobius, 2(1), 0014. https://doi.org/10.54355/tbus/2.1.2022.0014

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