|
|||||
 |
|
|
|
|
|
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 |
|
|
