Application of computer-generated finite-difference equations to decision and inverse problems in elasticity

✍ Scribed by Nikolaos I. Ioakimidis

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 263 KB
• Volume: 68
• Category: Article
• ISSN: 0045-7949
• DOI: 10.1016/s0045-7949(98)00061-3

✦ Synopsis

The use of appropriate ®nite-dierence equations in static isotropic elasticity problems, based on experimental measurements of an elastic quantity at a small number of equidistant points and computer algebra elimination techniques such as the famous Buchberger algorithm for GroÈ bner bases, is proposed for the inverse elasticity problem concerning the decision about the existence of a singularity (concentrated force, hole, inclusion, crack, etc.) and, further, the determination of the related characteristic loading and geometrical quantities. Both elementary problems and non-trivial problems concerning a concentrated force, a crack, a circular hole and the torsion of an elliptical bar illustrate the present computational approach. Further possibilities are also suggested in brief.