Numerical simulation of structural behaviors using a meshfree-enriched finite element method
US8612186B2 · kind B2 · utility
Assignee
Inventors
Key dates
| Filing date | Mar 1, 2011 |
| Grant date | Dec 17, 2013 |
| Priority date | — |
| Expiry date | Aug 1, 2032 |
Classification
- Technology area (CPC G)Physics
- CPC primaryG06F30/23
- WIPO fieldComputer technology
- WIPO sectorElectrical engineering
Abstract
System, method and software product for numerically simulating structural behaviors of an engineering product in compressible and near-incomprssible region is disclosed. Meshfree enriched finite element method (ME-FEM) is used for such numerical simulation. ME-FEM requires an engineering product be represented by a FEM model comprising a plurality of finite elements. Finite elements used in the ME-FEM are generally low-order finite elements. Each of the finite elements in the FEM model is enriched by at least one meshfree enriched (ME) node located within the element's domain. Each ME node has additional degrees-of-freedom for the element it belongs independent from those of the corner nodes. A displacement based first-order convex meshfree approximation is applied to the ME node. The convex meshfree approximation has Knonecker-delta property at the element's boundary. The gradient matrix of ME-FEM element satisfies integration constraint. ME-FEM interpolation is an element-wise meshfree interpolation that is discrete divergence-free at the incompressible limit.
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.