Buckling of a continuous beam resting on a tensionless elastic foundation

Massalas, C.V.; Tzivanidis, G. I.; Katsikadelis, John T.

doi:10.1016/0016-0032(78)90052-2

Cited by 4 publications

(1 citation statement)

References 3 publications

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“…The approach has been adopted most frequently for soil-structure interaction for shallow foundations (Massalas et al, 1978;Kubenko et al, 2006), but used as well for laterally loaded deep foundations (Horvath, 1984), retaining walls (Laefer (2001)), mining (Pytel and Chugh, 1989), tunneling (Najm and Ishijima, 1993), roadway repair (Cho et al, 1996), runway performance prediction (Pan and Atluri, 1995), train-railway track interaction (Knothe and Le-The, 1985), silo construction (Vasilenko and Emelyanov, 1993), and soil-structure-water interaction problems (Stefanou, 1983). Additionally, similar concerns arise in a variety of materials either in their manufacturing or performance, particularly when thin coatings are overlain on other substrates (Chai, 2003;Sriram et al, 2003;Weppelmann and Swain, 1996).…”

Section: Introductionmentioning

confidence: 99%

A Ritz’s method based solution for the contact problem of a deformable rectangular plate on an elastic quarter-space

Guenfoud

Босаков

Laefer

2010

International Journal of Solids and Structures

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a b s t r a c tIn this article, Ritz's method is used to calculate with unprecedented accuracy the displacements related to a deformable rectangular plate resting on the surface of an elastic quarter-space. To achieve this required three basic steps. The first step involved the study of Green's function describing the vertical displacements of the surface of an elastic quarter-space due to vertical force applied on its surface. For this case, an explicit formula was obtained by analytically resolving a complicated integral that did not previously have an analytical solution. The second step involved the study of the coupled system of a plate and an elastic quarter-space. This portion focused on determining reactive forces in the contact zone based on Hetenyi's solution. After determination of the reactive forces, certain features were attributed to the plate's edges. The final step involved the application of Ritz's method to determine the deflections of the plate resting on the surface of the quarter-space. Finally, an example calculation and validation of results are given. This is the first semi-analytical solution proposed for this type of contact problem.Crown

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