𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A finite volume method for incompressible linear elasticity

✍ Scribed by I. Bijelonja; I. Demirdžić; S. Muzaferija

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
319 KB
Volume
195
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

✦ Synopsis

This paper describes development of a finite volume based method for modelling of incompressible linear elastic body problems. The method is based on the solution of the integral form of conservation equations governing momentum balance and the introduction of pressure as an additional variable. The incompressibility is enforced by employing the volumetric constraint equation. A collocated variable arrangement is used and the spatial domain is discretised using finite volumes of arbitrary polyhedral shapes. A segregated approach is employed to solve resulting set of coupled linear algebraic equations, embedding a SIMPLE based algorithm for displacement-pressure coupling. Numerical experiments showed that the developed method appears to be locking free.

📜 SIMILAR VOLUMES

A Nitsche extended finite element method
A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity
✍ Roland Becker; Erik Burman; Peter Hansbo 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 616 KB

## Stokes' problem Discontinuous coefficients Surface tension a b s t r a c t In this note we propose a finite element method for incompressible (or compressible) elasticity problems with discontinuous modulus of elasticity (or, if compressible, Poisson's ratio). The problem is written on mixed for

Application of the finite volume method
Application of the finite volume method and unstructured meshes to linear elasticity
✍ H. Jasak; H. G. Weller 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 353 KB 👁 1 views

A recent emergence of the ÿnite volume method (FVM) in structural analysis promises a viable alternative to the well-established ÿnite element solvers. In this paper, the linear stress analysis problem is discretized using the practices usually associated with the FVM in uid ows. These include the s