𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Enhanced finite element formulation for geometrically linear fluid-saturated porous media

✍ Scribed by Areti Papastavrou; Paul Steinmann; Erwin Stein

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
301 KB
Volume
2
Category
Article
ISSN
1082-5010

No coin nor oath required. For personal study only.

✦ Synopsis

This contribution is concerned with a new mixed ®nite element formulation for geometrically linear Terzaghi± Biot type ¯uid-saturated porous media. To this end, an extended Hu±Washizu type mixed variational principle is presented for ¯uid-saturated porous continua. Then, a suitable discretization and its implementation are discussed, resulting in an improved element behaviour especially in numerical localization analyses. The intriguing element performance is ®rstly demonstrated for the case of localization within an elastoplastic compression problem. Finally, an elastoplastic slope stability problem is examined, whereby the new element formulation proves to render more pronounced failure modes as compared with a standard element expansion.

📜 SIMILAR VOLUMES

A finite element formulation for strong
A finite element formulation for strong discontinuities in fluid-saturated porous media
✍ P. Steinmann 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 349 KB 👁 2 views

The aim of this contribution is the development of a finite element formulation tailored to capture strong discontinuities in fluid-saturated porous media. Thereby, strong discontinuities are considered as the final failure mechanism within localization problems. The failure kinematics are governed

Finite element modelling of reactive mas
Finite element modelling of reactive mass transport problems in fluid-saturated porous media
✍ Zhao, Chongbin ;Hobbs, B. E. ;Mühlhaus, H. B. 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 212 KB 👁 2 views

We use the ®nite element method to solve reactive mass transport problems in ¯uid-saturated porous media. In particular, we discuss the mathematical expression of the chemical reaction terms involved in the mass transport equations for an isothermal, non-equilibrium chemical reaction. It has turned

MIXED TRANSFORM FINITE ELEMENT METHOD FO
MIXED TRANSFORM FINITE ELEMENT METHOD FOR SOLVING THE NON-LINEAR EQUATION FOR FLOW IN VARIABLY SATURATED POROUS MEDIA
✍ R. G. BACA; J. N. CHUNG; D. J. MULLA 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 187 KB 👁 2 views

A new computational method is developed for numerical solution of the Richards equation for flow in variably saturated porous media. The new method, referred to as the mixed transform finite element method, employs the mixed formulation of the Richards equation but expressed in terms of a partitione

On hybrid stress, hybrid strain and enha
On hybrid stress, hybrid strain and enhanced strain finite element formulations for a geometrically exact shell theory with drilling degrees of freedom
✍ Carlo Sansour; Jozef Bocko 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 160 KB 👁 2 views

The paper is concerned with the ÿnite element formulation of a recently proposed geometrically exact shell theory with natural inclusion of drilling degrees of freedom. Stress hybrid ÿnite elements are contrasted by strain hybrid elements as well as enhanced strain elements. Numerical investigations