Mixed Finite Element Analysis of Incompressible Hyperelastic Materials.
نویسندگان
چکیده
منابع مشابه
A Stabilized Mixed Finite Element Method for Nearly Incompressible Elasticity
We present a new multiscale/stabilized finite element method for compressible and incompressible elasticity. The multiscale method arises from a decomposition of the displacement field into coarse (resolved) and fine (unresolved) scales. The resulting stabilizedmixed form consistently represents the fine computational scales in the solution and thus possesses higher coarse mesh accuracy. The en...
متن کاملMixed Finite Element Methods for Incompressible Flow: Stationary Stokes Equations
In this article, we develop and analyze a mixed finite element method for the Stokes equations. Our mixed method is based on the pseudostress-velocity formulation. The pseudostress is approximated by the RaviartThomas (RT) element of index k ≥ 0 and the velocity by piecewise discontinuous polynomials of degree k. It is shown that this pair of finite elements is stable and yields quasi-optimal a...
متن کاملMixed finite element methods for stationary incompressible magneto-hydrodynamics
A new mixed variational formulation of the equations of stationary incompressible magneto–hydrodynamics is introduced and analyzed. The formulation is based on curl-conforming Sobolev spaces for the magnetic variables and is shown to be well-posed in (possibly non-convex) Lipschitz polyhedra. A finite element approximation is proposed where the hydrodynamic unknowns are discretized by standard ...
متن کاملGeneralized finite element method for modeling nearly incompressible bimaterial hyperelastic solids
An extension of the generalized finite element method to the class of mixed finite element methods is presented to tackle heterogeneous systems with nearly incompressible non-linear hyperelastic material behavior. In particular, heterogeneous systems with large modulus mismatch across the material interface undergoing large strains are investigated using two formulations, one based on a continu...
متن کاملFinite element analysis of compressible and incompressible fluid-solid systems
This paper deals with a finite element method to solve interior fluid-structure vibration problems valid for compressible and incompressible fluids. It is based on a displacement formulation for both the fluid and the solid. The pressure of the fluid is also used as a variable for the theoretical analysis yielding a well posed mixed linear eigenvalue problem. Lowest order triangular Raviart-Tho...
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: TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A
سال: 1996
ISSN: 0387-5008,1884-8338
DOI: 10.1299/kikaia.62.745