Poroelastic two-phase material modeling: theoretical formulation and embedded finite element method implementation
نویسندگان
چکیده
منابع مشابه
A direct vulnerable atherosclerotic plaque elasticity reconstruction method based on an original material-finite element formulation: theoretical framework.
The peak cap stress (PCS) amplitude is recognized as a biomechanical predictor of vulnerable plaque (VP) rupture. However, quantifying PCS in vivo remains a challenge since the stress depends on the plaque mechanical properties. In response, an iterative material finite element (FE) elasticity reconstruction method using strain measurements has been implemented for the solution of these inverse...
متن کاملDiscontinuous Galerkin finite element method for shallow two-phase flows
We present a discontinuous Galerkin finite element method for two depth-averaged two-phase flow models. One of these models contains nonconservative products for which we developed a discontinuous Galerkin finite element formulation in Rhebergen et al. (2008) J. Comput. Phys. 227, 1887-1922. The other model is a new depth-averaged two-phase flow model we introduce for shallow two-phase flows th...
متن کاملTheoretical Foundations of the Finite Element Method
Using finite element methods, we need to answer these questions: • What is the appropriate functional space V for the solution? • What is the appropriate weak or variational form of a differential equation? • What kind of basis functions or finite element spaces should we choose? • How accurate is the finite element solution? We briefly address these questions in this Chapter. Recalling that fi...
متن کاملStabilized Finite Element Method in Particulate Two-phase Flows Stabilized Nite Element Method in Particulate Two-phase Ows
A stabilized nite element method for the solution of particulate two-phase ows is presented. In this method the solution of the volume fractions is de-coupled from the solution of the momentum equations. For the solution of the volume fraction SD method with discontinuity capturing operator is used. The functionality of the method is shown in two example cases.
متن کاملA Proposed Modeling Method in Finite Element Slope Stability Analysis
Limit-equilibrium method (LEM) and finite element method (FEM) with strength reduction method (SRM) techniques are the most widely used analysis tools in slope stability assessment. Recently, researchers have reported that both factor of safety (FOS) values and failure surfaces obtained from LEM and FEM are generally in good agreement, except in some particular cases. In this paper, the FOS and...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal for Numerical and Analytical Methods in Geomechanics
سال: 2015
ISSN: 0363-9061
DOI: 10.1002/nag.2351