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[HTML][HTML] Size effects and the existence of scalable materials and systems
Size effects are particular types of scale effect, where the response of a material is
dependent to some extent on its size. These types of behaviour manifest to a greater or …
dependent to some extent on its size. These types of behaviour manifest to a greater or …
The theory of scaled electromechanics
A new scaling theory called finite similitude has appeared in the open literature for the
scaling of physical systems. The theory is founded on the metaphysical concept of space …
scaling of physical systems. The theory is founded on the metaphysical concept of space …
[HTML][HTML] Scaled cohesive zone models for fatigue crack propagation
A cohesive zone model is a phenomenological model of the fracture process, which
straddles empiricism and material science and as such provides a pragmatic choice for …
straddles empiricism and material science and as such provides a pragmatic choice for …
[HTML][HTML] The analysis of scaled mechanical dynamic systems
A new approach to scaled experimentation has appeared in the open literature bringing into
existence a countably infinite number of similitude rules connecting multiple scaled …
existence a countably infinite number of similitude rules connecting multiple scaled …
Anisotropic scaling for thin-walled vibrating structures
A calculus for scaled experimentation has recently appeared in the open literature founded
on the continuous (metaphysical) concept of space scaling. The new theory for isotropic …
on the continuous (metaphysical) concept of space scaling. The new theory for isotropic …
Extended finite similitude and dimensional analysis for scaling
K Davey, R Ochoa-Cabrero - Journal of Engineering Mathematics, 2023 - Springer
The theory of scaling called finite similitude does not involve dimensional analysis and is
founded on a transport-equation approach that is applicable to all of classical physics. It …
founded on a transport-equation approach that is applicable to all of classical physics. It …
[HTML][HTML] Scaled empirical fatigue laws
A geometric size effect is evident in fatigue loading with a scaled cracked component of the
same material appearing stronger in the sense of increased fatigue resistance. The number …
same material appearing stronger in the sense of increased fatigue resistance. The number …
[HTML][HTML] A two-experiment finite similitude approach to experimental fluid mechanics
Fluid dynamics experimentation at scale provides an important means of investigation that is
presently underpinned by dimensional analysis and computational fluid dynamics (CFD) …
presently underpinned by dimensional analysis and computational fluid dynamics (CFD) …
[HTML][HTML] The analysis of scaled cracked components
A recent arrival in the open literature is the scaling theory finite similitude bringing into
existence a countably infinite number of new similitude rules. The application of the theory to …
existence a countably infinite number of new similitude rules. The application of the theory to …
[HTML][HTML] The stochastic response of fatigue crack growth in scaled components
In fatigue testing the number of cycles and crack length to failure are recognised to be
stochastic quantities necessitating repetitive testing to draw out statistically meaningful …
stochastic quantities necessitating repetitive testing to draw out statistically meaningful …