The computation of deformations

✍ Scribed by Derek Flinn

• Publisher: John Wiley and Sons
• Year: 2007
• Tongue: English
• Weight: 552 KB
• Volume: 14
• Category: Article
• ISSN: 0072-1050
• DOI: 10.1002/gj.3350140106

✦ Synopsis

Abstract

The mathematics of irrotational deformation are simplified by presentation in matrix form. Matrix equations are easily programmed and are easily interpreted in geometrical terms. Graphical operations commonly carried out on orientation nets such as rotation of data can be translated into simple matrix equations for use with a computer. If the shape and orientation of the deformation ellipsoid for a pure shear are known, a matrix can be constructed for use as a deformation matrix. This can be used to deform other deformation ellipsoids to obtain a resultant ellipsoid. It can also be used to deform geological structures such as lineations and planes. The matrix equations for these operations are very simple, but their numerical solution often requires a computer.