Vol. 10, No. 4, 2015

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ISSN: 1559-3959
Axisymmetric loading of an elastic-plastic plate on a general two-parameter foundation

Luca Lanzoni, Andrea Nobili, Enrico Radi and Andrea Sorzia

Vol. 10 (2015), No. 4, 459–479
Abstract

The load carrying capacity and collapse scenarios for an infinite elastic-plastic plate resting on a two-parameter elastic foundation uniformly loaded on a small circular footprint are investigated in a general framework of stiffness and yield parameters. The present work extends the study already presented for a specific value of the Pasternak modulus and it allows the investigation of the influence of the stiffness property of the underlying soil and the amplitude of the loaded region on the load carrying capacity of the plate and the corresponding collapse mechanism. Moreover, the present analysis allows for the evaluation of the transverse deflection, slope, radial and circumferential bending moments, shearing force within the plate and the reactive pressure of the elastic subgrade at the onset of the plastic collapse together with their dependence on the foundation moduli. The effect of the ratio between negative and positive yield moments is also investigated. The amplitude and assembly of plastic regions at the onset of the plastic collapse are discussed in some detail.

Keywords
two-parameter subgrade, Kirchhoff plate, Johansen's yield criterion, axisymmetric loading conditions, contour integral, elastic-plastic collapse
Milestones
Received: 13 January 2015
Revised: 17 March 2015
Accepted: 22 March 2015
Published: 28 September 2015
Authors
Luca Lanzoni
DET — Dipartimento di Economia e Tecnologia
Università degli Studi della Repubblica di San Marino
Salita alla Rocca 44
47890 San Marino città
San Marino and DIEF — Dipartimento di Ingegneria “Enzo Ferrari”
Università di Modena e Reggio Emilia
Via Vignolese 905
I-41125 Modena
Italy
Andrea Nobili
DIEF — Dipartimento di Ingegneria “Enzo Ferrari”
Università di Modena e Reggio Emilia
Via Vignolese 905
I-41125 Modena
Italy
Enrico Radi
DISMI — Dipartimento di Scienze e Metodi dell’Ingegneria
Università di Modena e Reggio Emilia
Via Amendola 2
I-42122 Reggio Emilia
Italy
Andrea Sorzia
DISMI — Dipartimento di Scienze e Metodi dell’Ingegneria
Università di Modena e Reggio Emilia
Via Amendola 2
I-42122 Reggio Emilia
Italy