![]() International journal for numerical methods in engineering, 56(4): 507-529. A vertex‐based finite volume method applied to non‐linear material problems in computational solid mechanics. The mesh-based formulation of FVM is a well-established technique in a wide range of problems concerned with the mechanics of solids and structures, see ( Taylor et al. A distinctive feature of the method is the use of boundary integral instead of the domain integral, for satisfying partial differential equation. In this method, the computational domain is divided into smaller sub-domains, called as finite volumes, each containing one node point on the discretized geometry and the partial differential equation is satisfied in the integral sense over each finite volume. The finite-volume method (FVM) is a numerical technique that provides approximate solutions to boundary value problems with partial differential equations. The results have revealed the potential of the proposed method in studying the mechanics of heterogeneous media with complex micro-structures.įinite volume method meshless method material discontinuity enrichment technique Voronoi tessellation It is demonstrated that the enriched meshless finite volume method could alleviate the expecting oscillations in derivative fields around the material discontinuities. The results are compared with the corresponding solutions obtained using the standard meshless finite volume method and element free Galerkin method in order to highlight the improvements achieved by the proposed formulation. Numerical experiments for elastostatic problems in heterogeneous media are presented. The formulation utilizes space-filling Voronoi-shaped finite volumes in order to more intelligently model irregular geometries. In the proposed formulation, the moving least squares approximation space is enriched by local continuous functions that contain discontinuity in the first derivative at the location of the material interfaces. A 2D formulation for incorporating material discontinuities into the meshless finite volume method is proposed.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |