Results 191 to 200 of about 22,163,446 (341)

Fractal analysis of sampled profiles: Systematic study [PDF]

open access: green, 2002
Claudia Castelnovo   +3 more
openalex   +1 more source

A Constitutive Model Allowing for Particle Size‐Shape Coevolution

open access: yesInternational Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT This paper presents a constitutive model developed within the Continuum Breakage Mechanics (CBM) framework. The proposed model explicitly accounts for particle shape evolution during the compression of crushable granular materials. Most importantly, the proposed formulation includes a novel expression of the dissipation function that enables a
Divyanshu Lal, Giuseppe Buscarnera
wiley   +1 more source

Moving Horizon Estimation for Al‐Doped ZnO Nanoparticle Synthesis: An Online UV‐vis Spectroscopy Approach

open access: yesNano Select, EarlyView.
This study develops a moving horizon estimator for real‐time prediction of AZO nanoparticle properties during sol‐gel synthesis, integrating UV‐vis spectroscopy with a simplified PBE model via DMDc. The method accurately estimates PSD, showing strong agreement with offline data and supporting modern model‐based control to enhance synthesis quality ...
Guohui Yang   +3 more
wiley   +1 more source

Axiomatic Foundations of Fractal Analysis and Fractal Number Theory

open access: yes
We develop an axiomatic framework for fractal analysis and fractal number theory grounded in hierarchies of definability. Central to this approach is a sequence of formal systems F_n, each corresponding to a definability level S_n contained in R of constructively accessible mathematical objects.
openaire   +3 more sources

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