Interaction of Long Piles with a Multilayer Soil Mass, Taking into Account the Elastic and Rheological Properties

Mathematical Computations of Long-Term Settlement and Bearing Capacity of Soil Bases and Foundations near Vertical Excavation Pits

“…To evaluate the settlement over time and the long-term stability of the soil basis, the authors applied the elastic-viscous model, developed by A.Z. Ter-Martirosyan [1] to describe shear deformations, and the Kelvin-Voigt model [2] to describe volumetric deformations. According to H. Hencky [3], any deformation can be represented as the sum of its volumetric and shear components, i.e., ε z = ε v + ε γ , where ε v = f (σ m ), and ε γ = f (τ i ,σ m ).…”

“…Ter-Martirosyan [24][25][26], A.Z. Ter-Martirosyan [1,26,27], as well as foreign scientists, including L. Shukle [28] and others [29][30][31][32][33][34] contributed greatly to the study of deformations of clay soils and their influence on projected changes in the stress-strain state of soil bases. Most of these researchers focused on developing the theory of creep and making new rheological models.…”

“…In this work, the authors offer an improved model, originally developed by A.Z. Ter-Martirosyan [1], to describe shear deformations, and another improved model, developed by Kelvin and Voigt [2], to describe volumetric deformations, assuming that ε• z (t) = ε• v (t) + ε• γ (t) according to the Hencky's system of physical equations [3]. Earlier, many researchers, including S. S. Vyalov [2], A. R. Rzhanicyn [35], had assumed that the creep curve γ-t had a double curvature, including initial (decaying), intermediate (steady), and final (evolving) stages, with a possible transition to collapse.…”

“…Ter-Martirosyan and A.Z. Ter-Martirosyan to solve the boundary problem with a distributed loading [1]. Mathematical formulas for the settlement and load-bearing capacity of a soil base adjacent to an excavation pit were also developed, taking into account the elastoplastic properties of the soil [26].…”

The influence of the shape of high-rise buildings on the design features and methods of making foundations in difficult soil conditions

“…For such construction sites, a common solution is to use a pile foundation, which allows transferring the load from a heavy building to dense and homogeneous deep soils. Numerous studies in the field of pile foundation engineering lead to the increasing efficiency of such foundations in terms of material consumption for the manufacture of piles and the timing of the work [1][2][3]. Taking into account the underestimated reserves of the actual bearing capacity of piles in comparison with the calculated values, including the slab part of the foundation in joint work, regulating the sequence of construction stages make it possible to significantly reduce the cost of building foundations and buried structures.…”