|About this Abstract
||NUMIFORM 2019: The 13th International Conference on Numerical Methods in Industrial Forming Processes
||S-07: Computational Modelling of Scaled Processes and Experiments
||Exact and Inexact Multiple-scaled Models for Hot Forging: Part I Theory
||Keith Davey, Olga Bylya, Bhaskaran Krishnamurthy
|On-Site Speaker (Planned)
Scaled experimentation continues to play a significant role in process, product design and testing for metallic components and products but is recognized to suffer severe limitations. The difficulty with scaling manifests principally from the non-linear relationships between the physical constraints imposed on any scaled physical system.
This paper is concerned with an assessment of a new scaling approach called finite similitude that has appeared in the recent literature and a new methodology for exact and inexact-experimentation involving multiple-scaled experiments. Finite similitude is founded on the scaling of space itself and on a formulation that ensures that the governing physics (in transport form) remain invariant up to proportionality. Unfortunately proportionality breaks down with scale and to account for this, experiments at more than one scale are considered. The fundamental new idea underpinning the work is the design of scale-dependent experiments that focus on a critical aspect (e.g. boundary conditions, material flow) that is dominant at a particular scale. Friction and material behavior are the focus of the work with friction dominating at smaller scales and bulk responses at larger scales.
The work focuses on theoretical aspects and the difficulties associated with scaling but also on experimentation at more than on scale, which is shown to offer measurable advantages.