Elastic Displacement of Multi-Layer Soil Systems

Ueshita, Kano; Meyerhof, G. G.

doi:10.2208/jscej1949.1967.144_20

Cited by 3 publications

(3 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the case of three-dimensional elastic problems to satisfy boundary conditions with complicated shapes in an infinite solid, Hirai and Satake [38,39] proposed the analytical method of utilizing transformations between functions in cylindrical coordinates and those in spherical ones. For threedimensional elastic problems encountered in multi-layered soil systems, it becomes more difficult to satisfy accurately the boundary conditions between each layer in proportion to increase in soil layers because of the complication of integrations [21,22,34] included in three-dimensional elastic analyses. Furthermore, the three-dimensional elastic analyses for rectangular foundations have a tendency to become more complicated than circular foundations.…”

Section: Equivalent Thickness and Equivalent Elastic Modulus Of Multimentioning

confidence: 99%

“…Equation (23) with Equations (7)-(18) is used. The deflection factor F is defined as F = w/(2aq(1 − Figures 33 and 34 that compared with the rigorous solutions given by Ueshita and Mayerhof [21,22], ELSA and GAMES, Simons et al's method is incapable of predicting rigorous solutions, however, the FEM and the proposed method can describe the tendency of rigorous solutions accurately. Figure 35 shows the relationships between ratio of stiffness E 2 /E 3 and the normalized vertical stress z2 /q in the centre of interface between the second and the third layers for the case where a/H 2 = 1.0, H 1 /H 2 = 1.0 and * 1 = 2 = 3 = 0.5.…”

Section: Analyses Of Immediate Settlement and Vertical Stressmentioning

confidence: 99%

“…For the immediate settlement classified as elastic deformation in soil-rock system, Ueshita and Meyerhof [18] exhibited the rigorous solutions which were employed to verify the availability of approximate solutions calculated by Steinbrenner's [19,20] method. Furthermore, as for the immediate settlement of multi-layered soil systems, Ueshita and Meyerhof [21,22] presented the rigorous solutions with which the approximate solutions given by Odemark's [23] method was compared. Palmer and Barber [24] proposed the approximate solution for two-layered elastic systems by the use of the equivalent thickness.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Settlements and stresses of multi‐layered grounds and improved grounds by equivalent elastic method

Hirai

2007

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

SUMMARYThe investigation of equivalent elastic method is made to predict settlements and stresses of multi-layered grounds and improved grounds. Analytical models to represent the heterogeneous elastic properties of layers in vertical and horizontal directions for multi-layered grounds and improved grounds are proposed in taking into account the equivalent elastic modulus and the equivalent thickness. By introducing the equivalent thickness derived from Terzaghi's formula of the vertical stress, the equivalent elastic method of using the equivalent elastic modulus and the equivalent thickness is applied to the formulations concerning immediate settlements and vertical stresses in multi-layered grounds and improved grounds. Comparison is performed between rigorous solutions and simulations for immediate settlements and vertical stresses in multi-layered grounds and improved grounds. It is found that the proposed method is able to describe properly the characteristics of distributions for settlements and vertical stresses in multi-layered grounds and improved grounds.

show abstract

Section: Equivalent Thickness and Equivalent Elastic Modulus Of Multimentioning

confidence: 99%

Section: Analyses Of Immediate Settlement and Vertical Stressmentioning

confidence: 99%