1. Department of Geological Sciences, University of Oregon, Eugene, Oregon 97403, USA; 2. Buckingham Centre for Astrobiology, University of Buckingham, Buckingham MK18 1EG, United Kingdom 3. School of Geographical Sciences and Urban Planning, Arizona State University, Tempe, Arizona 85287-5302, USA; 4. Center for Advanced Materials Characterization in Oregon (CAMCOR), University of Oregon, Euge...

Abstract: In this paper a general methodology for minimum weight selection of structural joints is reviewed. The evaluation and selection technique is based on analytical weight formulae for structural joints including different joining technologies for which through the use of Buckingham’s Pi-Theorem a complete set of dimensionless similarity parameters is derived. This formal approach offers ...

We provide a clarification of scaling issues in simulation models, distinguishing between sample size determination, discovery of emergent properties involving a qualitative change in the behaviour of the system at an aggregate level, and ‘true’ scaling, the dependence of the quantitative behaviour of the system at any given level of aggregation, to its size. Scaling issues arise because we wan...

We refine the definition of the fractional Galois ideal introduced in [Paul Buckingham. The canonical fractional Galois ideal at s = 0. J. Number Theory, 128(6):1749–1768, 2008] which was based on Snaith’s fractional ideal, allowing us to give a general relationship of this object with the Stark elements appearing in Rubin’s integral sharpening of Stark’s Conjecture. We motivate this by using a...

Empirical Similitude Method (ESM) is a technique developed to address the concerns of non – linear similitude. The process disconnects the scaling of material and shape response by assuming them to be independent to form a system transformation. Such a transformation requires modeling using three representative models instead of just one as is used in the Buckingham π theorem. In an effort to g...