Scaling of the powder compaction process

Moghaddam, M.; Darvizeh, Rooholamin; Davey, Keith; Darvizeh, A.

doi:10.1016/j.ijsolstr.2018.05.002

Cited by 31 publications

(48 citation statements)

References 33 publications

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“…The shear failure surface

F_{s}

is written as Equation (1) (Moghaddam, Darvizeh, Davey, & Darvizeh, ).

F_{s} = q - p \tan β - d = 0

…”

Section: Methodsmentioning

confidence: 99%

“…The cap surface

F_{c}

is written as Equation (2) (Moghaddam et al, ).

F_{c} = \sqrt{{(p - p_{a})}^{2} + {(][, \frac{italicRq}{1 + α - \frac{α}{\cos β}})}^{2}} - R false(d + p_{a} \tan β false) = 0

…”

Section: Methodsmentioning

confidence: 99%

“…Cap surface parameter

p_{b}

is the hydrostatic compression yield stress which controls the cap size, and is also the maximum hydrostatic pressure at the cap surface, which can be calculated by Equation (10) (Moghaddam et al, ).

p_{b} = p_{a} false(1 + R \tan β false) + R d

…”

Section: Methodsmentioning

confidence: 99%

“…The yield surface of the modified DPC model is made up of shear failure surface, smooth transition surface, and cap surface ( Figure 1). The shear failure surface F s is written as Equation (1) (Moghaddam, Darvizeh, Davey, & Darvizeh, 2018).…”

Section: Modified Dpc Modelmentioning

confidence: 99%

“…Roll load (a) and roll torque (b) at different compression ratios by two models Cap surface parameter p b is the hydrostatic compression yield stress which controls the cap size, and is also the maximum hydrostatic pressure at the cap surface, which can be calculated by Equation (10) (Moghaddam et al, 2018).…”

Section: )mentioning

confidence: 99%

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Sensitivity of important parameters in a three‐dimensional simulation of the milling process of sugar cane with modified Drucker–Prager Cap model based on evolutionary material properties

Duan

Mao

Huang

et al. 2019

J Food Process Preserv

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The properties of the milled mixture of sugar cane change greatly during the milling process. The evolution of its properties was modeled using three‐dimensional simulation method of the modified Drucker–Prager Cap model. Parameters for the model were determined by dynamic compression tests and simulated contrast test and employed to analyze the changes of roll load, roll torque, the maximum speed of sugar juice, stress, pore pressure, and the maximum void ratio under compression ratios of 1.5–3.5, blanket thicknesses of 40–140 mm, roll diameters of 700–1000 mm, and roll surface speeds of 0.1–0.5 m/s. The following results have been found: compression ratio plays the leading role in stress, pore pressure, roll load, and roll torque which increase with it; blanket thickness is of primary importance for maximum void ratio which increases with it; and roll surface speed has the most obvious effect on maximum sugar juice speed which increases with it. The method of this paper might provide a more accurate prediction for the optimization of these important parameters during the milling process of sugar cane. Practical applications The properties of the milled mixture of sugar cane change greatly during the milling process. However, the material properties for the constitutive model adopted by the researchers were the mean values of those measured. As a result, the predicted results obtained by the model based on the average values of these parameters are different from those obtained by the actual tests. We evolved the law of variation of parameters and adopted a three‐dimensional simulation method of the modified Drucker–Prager Cap model to the milling process of sugar cane. Our results show compression ratio is most important for stress, pore pressure, roll load, and roll torque which increase with it; blanket thickness and roll surface speed are of primary importance for maximum void ratio and the most obvious effect on maximum sugar juice speed which increases with them. Information presented here can serve as a guidance for a more accurate prediction for the optimization of these important parameters during the milling process of sugar cane.

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“…The shear failure surface

F_{s}

is written as Equation (1) (Moghaddam, Darvizeh, Davey, & Darvizeh, ).

F_{s} = q - p \tan β - d = 0

…”

Section: Methodsmentioning

confidence: 99%

“…The cap surface

F_{c}

is written as Equation (2) (Moghaddam et al, ).

F_{c} = \sqrt{{(p - p_{a})}^{2} + {(][, \frac{italicRq}{1 + α - \frac{α}{\cos β}})}^{2}} - R false(d + p_{a} \tan β false) = 0

…”

Section: Methodsmentioning

confidence: 99%

“…Cap surface parameter

p_{b}

is the hydrostatic compression yield stress which controls the cap size, and is also the maximum hydrostatic pressure at the cap surface, which can be calculated by Equation (10) (Moghaddam et al, ).

p_{b} = p_{a} false(1 + R \tan β false) + R d

…”

Section: Methodsmentioning

confidence: 99%

Section: Modified Dpc Modelmentioning

confidence: 99%

Section: )mentioning

confidence: 99%

See 3 more Smart Citations

Sensitivity of important parameters in a three‐dimensional simulation of the milling process of sugar cane with modified Drucker–Prager Cap model based on evolutionary material properties

Duan

Mao

Huang

et al. 2019

J Food Process Preserv

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Application of first‐order finite similitude in structural mechanics and earthquake engineering

Atar

Davey

Darvizeh

2021

Earthq Engng Struct Dyn

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The theory of scaling

Davey

Sadeghi

Darvizeh

2023

Continuum Mech. Thermodyn.

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Scaled experimentation is an important approach for the investigation of complex systems but for centuries has been impeded by the want of a scaling theory that can accommodate scale effects. The present definition of a scale effect is founded on the violation of an invariance principle arising out of dimensional analysis, i.e. dimensionless equations do not change with scale. However, apart from all but the most rudimentary of systems, most dimensionless governing equations invariably do change with scale, thus providing a very severe constraint on the reach of scaled experimentation. This paper introduces the theory of scaling that in principle applies to all physics and quantifies either implicitly or explicitly all scale dependencies. It is shown here how the route offered by dimensional analysis is nothing more than a particular similitude condition among a countable infinite number of alternative possibilities provided by the new theory. The theory of scaling is founded on a metaphysical concept where space is scaled and the mathematical consequences of this are reflected in the governing equations in transport form. The theory is trialled for known problems in continuum mechanics, electromagnetism and heat transfer to illustrate the breath of the approach and additionally demonstrate the advantages offered by additional forms of similitude.

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Scaling of the powder compaction process

Cited by 31 publications

References 33 publications

Sensitivity of important parameters in a three‐dimensional simulation of the milling process of sugar cane with modified Drucker–Prager Cap model based on evolutionary material properties

Sensitivity of important parameters in a three‐dimensional simulation of the milling process of sugar cane with modified Drucker–Prager Cap model based on evolutionary material properties

Application of first‐order finite similitude in structural mechanics and earthquake engineering

The theory of scaling

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