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A variational
deduction of second gradient poroelasticity II: an
application to the consolidation problem
Angela Madeo, Francesco dell’Isola, Nicoletta Ianiro and Giulio Sciarra |
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Vol. 3 (2008), No. 4, 607–625
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Abstract |
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The second gradient model of poromechanics, introduced in Part I, is here linearized in the neighborhood of a prestressed reference configuration to be applied to the one-dimensional consolidation problem originally considered by Terzaghi and Biot. Second gradient models allow for the description of boundary layer effects both in the vicinity of the external surface and the impermeable wall. The formulated differential problem involves linear pencils of ordinary differential operators on a finite interval, with boundary conditions depending on the spectral parameter. Taking into account the dependence of the differential problem on initial stresses a linear stability analysis is carried out. Finally, numerical solutions are compared with the corresponding classical Terzaghi solutions. |
Keywords
poromechanics, second gradient materials, consolidation
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Milestones
Received: 8 March 2007
Revised: 27 July 2007
Accepted: 25 November 2007
Published: 1 June 2008
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Authors |
| Angela Madeo | |
| Dipartimento di Metodi e Modelli
Matematici per le Scienze Applicate Università di Roma “La Sapienza” Via Scarpa 16 00161 Rome Italy |
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| Francesco dell’Isola | |
| Dipartimento di Ingegneria
Strutturale e Geotecnica Università di Roma “La Sapienza” Via Eudossiana 18 00184 Rome Italy |
Laboratorio di Strutture e Materiali
Intelligenti Palazzo Caetani (Ala Nord) 04012 Cisterna di Latina Italy |
| Nicoletta Ianiro | |
| Dipartimento di Metodi e Modelli
Matematici per le Scienze Applicate Università di Roma “La Sapienza” Via Scarpa 16 00161 Rome Italy |
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| Giulio Sciarra | |
| Dipartimento di Ingegneria Chimica
Materiali Ambiente Università di Roma “La Sapienza” Via Eudossiana 18 00184 Rome Italy |
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