A simple time integration scheme is presented, able to take into account a particular nonlinearity of the fluid phase in a dynamically loaded, nearly saturated porous medium. The analysis is confined to the dynamic undrained case, under the assumptions of small displacements and linear elastic behaviour for the solid phase. A mixed finite element approach is adopted, in conjunction with an explicit time integration scheme. The resulting overall algorithm may be theoretically framed within the context of the Linear Inequalities. Some applications indicate that the nonlinear behaviour of the fluid phase alone may play an important role in the global two-phase medium response. The results obtained by means of more traditional approaches in some cases may be un conservative.
FINITE ELEMENT ANALYSIS OF FLUID PHASE NONLINEARITY EFFECTS ON THE UNDRAINED DYNAMIC BEHAVIOUR OF NEARLY SATURATED POROUS MEDIA
CIVIDINI, ANNAMARIA
1989-01-01
Abstract
A simple time integration scheme is presented, able to take into account a particular nonlinearity of the fluid phase in a dynamically loaded, nearly saturated porous medium. The analysis is confined to the dynamic undrained case, under the assumptions of small displacements and linear elastic behaviour for the solid phase. A mixed finite element approach is adopted, in conjunction with an explicit time integration scheme. The resulting overall algorithm may be theoretically framed within the context of the Linear Inequalities. Some applications indicate that the nonlinear behaviour of the fluid phase alone may play an important role in the global two-phase medium response. The results obtained by means of more traditional approaches in some cases may be un conservative.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
