We obtain a relation exhibiting an increase with the square root of fraction solid at low volume fractions, independent of a growth law, and a decrease at higher volume fractions which depends on the model chosen to describe the coalescence of dendrites.
The voltage pressure relation exhibits a considerable nonlinearity and limits the measurement to local operations.
Typically, the force displacement relation exhibits a sawtooth form during loading, associated with repetitive generation and motion of partial dislocations and the creation and annihilation of stacking faults.
During loading, the force displacement relation exhibits a sawtooth form, associated with repetitive generation and motion of partial dislocations and the concomitant creation and annihilation of stacking fault pyramids.
We study two distinct cases, Type I in which the f–I relation (f for frequency, I for applied current) is continuous and Type II where the f–I relation exhibits a jump.
Theoretical investigations in [ 16] demonstrate that the Gain versus δ relation exhibits a decreasing trend as δ increases for smooth bifurcation, whereas the Gain versus δ relation exhibits an increasing trend as δ increases for border-collision bifurcation.
This relation exhibits a value of IPI with minimal \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$A_{50} $$\end{document A 50.
The unconditional first-lagged relation exhibits liquidity effects as well.
The authors were able to correlate the onset of adiabatic shear instability with pronounced reduction in the flow stress with an inversely proportional relation exhibited for both temperature rise and plastic deformation.
It was found that slip-dominated Hall Petch relation exhibited a much larger frictional stress of about 142 MPa and a texture dependent slope ranging from 121 to 225 MPa μm1/2.
Comparatively, twinning-induced Hall Petch relation exhibited a much lower frictional stress of about 25 MPa and a higher but unchanged slope of about 300 MPa μm1/2, meaning that the parameters are primarily controlled by the stress to activate twinning.
