| EPSRC Reference: |
GR/N31092/01 |
| Title: |
RAPID STRESS ANALYSIS USING THE FAST MULTIPOLE METHOD |
| Principal Investigator: |
Walker, Dr S |
| Other Investigators: |
|
| Researcher Co-Investigators: |
|
| Project Partners: |
|
| Department: |
Mechanical Engineering |
| Organisation: |
Imperial College London |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 March 2000 |
Ends: |
30 November 2003 |
Value (£): |
130,962
|
| EPSRC Research Topic Classifications: |
| Eng. Dynamics & Tribology |
|
|
| EPSRC Industrial Sector Classifications: |
| Aerospace, Defence and Marine |
Manufacturing |
| Construction |
No relevance to Underpinning Sectors |
|
| Related Grants: |
|
| Panel History: |
|
|
Summary on Grant Application Form |
|
Industrial use of large 3-D finite element stress analysis is surprisingly modest compared to the potential for such use. Reasons include the expense of generating large finite element models, and the computational task of solving these. Boundary elements are even less used; they offer much easier mesh generation, but this benefit cannot be realised because they are computationally very expensive on large industrial problems.Computationally similar challenges arise in large electromagnetic (EM) scattering (radar 'stealth') computations, where > 10^7 surface elements can be needed. Here vast gains have recently been made by incorporating the Fast Multipole Method (FMM) into integral equation (boundary element) treatments, with cost scaling reduced from nodes-cubed (N^3) to as low as N^1.2 logN, with similar reductions in storage needs. Problems with >2 million surface unknowns have already been solved.Cross-disciplinary research is proposed; to develop an elastostatic boundary element treatment incorporating the FMM, exploiting advances made in the area of computational electromagnetics.Gains anything like those already achieved in EM will make: cheaper surface-only meshing able to be realised; much larger analyses possible; solutions sufficiently rapid to permit interactive analyses and eg automated design optimisation
|
|
Key Findings |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Potential use in non-academic contexts |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Impacts |
|
| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
|
| Date Materialised |
|
|
|
|
Sectors submitted by the Researcher |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
| Project URL: |
|
| Further Information: |
|
| Organisation Website: |
http://www.imperial.ac.uk |