Scaled metal forming experiments: A transport equation approach
Journal: International Journal of Solids and Structures
Publication Date: 04 July, 2017
Department of: Mechanical, Aerospace and Civil Engineering
The space for scaled experimentation
Presently there exists one universal theory underpinning scaled experimentation called dimensional analysis which was established just over a century ago. Although widely used, dimensional analysis has proven insufficient for the analysis of complex industrial processes and in particular thermomechanical processes such as metal forming. Research at the University of Manchester has led to the discovery of a new concept founded on the scaling of space itself. The new concept is relatively simple to visualise, where one imagines any object or process or machine being distorted by the expansion or contraction of space. This research answers a question of critical importance by demonstrating that behaviour in a scaled space matches the behaviour that might occur in a scaled experiment. This approach to matching of physics is termed finite similitude and has been established for all continuum mechanics, which is a significant development. Implementation work is ongoing in the areas of biomechanics (artificial bone replication), powder metallurgy, shock physics, and porous materials. The approach is also expected to lead to application in manufacturing practice and currently thermomechanical forming processes (e.g. open and closed die hot forging) are being investigated.
- The work presents the first use of space distortion for scaled experimentation.
- Finite similitude can defined to be the physics observed by observers without access to absolute scales of measurement.
- It is possible to scale thermomechanical processes despite the contrary view expressed in the research literature.