Cohesive finite element method

Solids production from these heavy oil reservoirs was first discussed in some detail by Smith (97). Smith developed an analytical model to predict production, decline, recovery, pressure, and pressure-transient behavior, together with the large solids volume production and its effect on oil rate and well productivity. Smith s model incorporated time-de-pendent properties of the oil as a result of gas evolution and treated the unconsolidated reservoir sand as a soil in which cohesion relies only on the tension of the wetting phase. This is a similar, though simpler, approach than Vaziri s (54) finite element method. Smith developed a Darcy law formulation for compressible fluid flow... 

Keywords Epoxy-clay nanocomposites, gallery failure, representative volume element (RVE), finite element method (FEM), cohesive elements. 

Errors are a result of the elastic and plastic nature of the ceramic particles themselves. Several other authors [81,82] have calculated the pressure distribution in cylindrical dies and other forms using finite element numerical methods. Bortzmeyer [81] has incorporated cohesion, elastic, and plastic deformation of the particles into finite element calculations for more complicated geometries, as shown in... 

Ooi, E.T., Yang, Z.J., 2009. Modeling multiple cohesive crack propagation using a finite element-scaled boundary finite element coupled method. Engineering Analysis with Boundary Elements, 33(7) 915-929. 

In theory, finite element strength reduction factor method can be expressed as in the finite element static steady-state calculation, if the system is unstable, finite element calculations will not converge. Based on this principle, in the nonlinear finite element slope stability analysis, we obtain formula (1), using equation (1) to adjust the surface of the structure strength (cohesion c and friction angle reduction factor CO, so that the system reaches a critical failure state... 

To simulate the spontaneous dynamic motion of cracks, we use a 2-D plane strain cohesive/volumetric finite element (CVFE) scheme that has shown great success in the simulation of various dynamic fracture events in brittle media (Xu and Needleman, 1994, Camacho and Ortiz, 1996, Geubelle and Baylor, 1998). As its name indicates, the numerical method is based on the combination of conventional (volumetric) elements used to model the mechanical response of the ceramic material and interface (cohesive) elements introduced to simulate the intergranular failure process. Figure 1 schematically illustrates the CVFE concept. The volumetric elements... 

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