Contact problem for a stamp with a rectangular base

Borodachev, N. M.

doi:10.1016/0021-8928(76)90044-7

Cited by 15 publications

(6 citation statements)

References 2 publications

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“…The solutions for a rigid rectangular footing on an elastic half-space (a layer of infinite depth) can be found in papers by Noble (1960), Gorbunov-Passadov & Serebrjanyi (1961), Borodachev & Galin (1974), Borodachev (1976), Brothers, Sinclair & Segedin (1977), Panek & Kalker (1977), Mullan, Sinclair & Brothers (1980), Fabrikant (1986), and Li & Dempsey (1988b). The solutions for a rigid strip (a footing with an infinite aspect ratio) on an elastic layer can be found in papers by Smith (1962), Aleksandrov (1968), and Li & Dempsey (1988a).…”

Section: Introductionmentioning

confidence: 98%

A rigid rectangular footing on an elastic layer

Dempsey

1989

Géotechnique

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Section: Introductionmentioning

confidence: 98%

A rigid rectangular footing on an elastic layer

Dempsey

1989

Géotechnique

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“…In a rather simple and most widely spread in practice case of a rectangular foundation, the solutions of the contact problem at central and off-centre loading (under full contact) were obtained by various methods only approximately, with different degree of accuracy in [31,41,57,105,154].…”

Section: Spatial Contact Problems For Rigid Flat-bottom Punchesmentioning

confidence: 99%

Contact Interaction of Shallow Foundations with Nonhomogeneous Bases

Aleynikov

2009

Foundations of Engineering Mechanics

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In the fourth chapter the results of the boundary-element solutions of spatial contact problems for complex-shaped punches, located on the surfaces of elastic nonclassical bases, are analyzed. The problems under consideration correspond to the modeling of contact interaction of shallow foundations with elastic nonhomogeneous bases. Contact pressure fields under punches of various shape under an eccentric load (a contact problem on a strongly inclined punch) are obtained. The influence of non-uniform (over the area) compressibility as well as depthdependent nonhomogeneity of the base deformational properties on the formation and development of detachment zones, settlements and slopes of punches with the increase of the absolute values of overturning moments is shown. An algorithm to calculate the boundaries of the section core for rigid complex-shaped foundation plates from the stress values is described. Some optimization problems are solved for load and shape parameter control in order to provide uniform settlement of rigid foundation. As an example for the application of the developed boundary element method, a contact problem is solved and the elastic base stress-strained state is determined for a rigid strip foundation of variable width. In the same chapter a spatial contact model of the base is built taking into account nonlinear elastic soil properties. A procedure for the model parameter characterization based on the direct punch test data is considered. Finally, the chapter contains the studies of contact problems of bending of orthotropic plates situated on elastic nonclassical bases, performed by BEM combined with finite difference method. S.M. Aleynikov,

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“…During the last several decades a fairly large number of approaches has been proposed in the literature for rigid rectangular footings, an exact solution of which is still not available. In this respect, solutions have been provided by Borodachev (1976), Borodachev and Galin (1974), Brothers et al (1977), Butterfield and Banerjee (1971), Dempsey and Li (1989), Fabrikant (1986), Gorbunov-Possadov et al (1984), Mullan et al (1980), Noble (1960), Panek and Kalker (1977) and Sovinc (1961). Semi-empirical approaches combining the theory of elasticity with experimental and/or numerical results also exist in the literature (Foye et al, 2008;Lee and Salgado, 2002;Mayne and Poulos, 1999;Schmertmann, 1970;Schmertmann et al, 1978).…”

Section: Introductionmentioning

confidence: 99%

Elastic Settlement Analysis of Rigid Footings Relying On The “Characteristic Point” Concept

Pantelidis

2021

Preprint

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In the present paper, the problem of finding the location of the so-called “characteristic point” of flexible footings is revisited. As known, the settlement at the characteristic point, is equal to the uniform settlement of the respective rigid footing. The cases of infinitely long strips and circular footings are studied fully analytically. For the case of rectangular footings, analytical results (for flexible footings) are compared with the respective numerical results (for rigid footings) obtained from 3D finite element analysis (210 cases were examined). As shown, the location of the characteristic point may greatly deviate from the well-known values reported in the literature, as it strongly depends on the thickness and Poisson’s ratio value of the compressible medium. For rectangular footings this location also depends on their aspect ratio, L/B. The location of the characteristic point with respect to the center of footing for the various cases examined is given in tabular form. Strain influence area values (Aj=ρjEs/qB) are also given for the convenient calculation of the settlement (ρj) of footings, especially the rigid, rectangular ones; q is the uniform surcharge of footing and Es the soil modulus.

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Contact problem for a stamp with a rectangular base

Cited by 15 publications

References 2 publications

A rigid rectangular footing on an elastic layer

A rigid rectangular footing on an elastic layer

Contact Interaction of Shallow Foundations with Nonhomogeneous Bases

Elastic Settlement Analysis of Rigid Footings Relying On The “Characteristic Point” Concept

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