Duality theorem for L-R crossed coproducts

Chen, Quanguo; Wang, Dingguo

doi:10.1007/s11766-018-3497-9

Cited by 1 publication

(2 citation statements)

References 15 publications

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“…However, Creton's method is not suitable for the sample we used because the electron density of crystalline and amorphous phases in P4M1P is so close that there is no SAXS signal of lamellar structures. In order to calculate the volume fraction of cavities we have calibrated the absolute intensity . The volume fraction of cavities can be obtained according to

Q = 2 π^{2} φ_{A} φ_{B} {false(ρ_{A} - ρ_{B} false)}^{2}

where

φ_{A}

and

φ_{B}

denote the volume fraction of polymer matrix and the cavities and

ρ_{A}

and

ρ_{B}

are the corresponding electron density, respectively.…”

Section: Resultsmentioning

confidence: 99%

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Two‐step cavitation in semi‐crystalline polymer during stretching at temperature below glass transition

Chen

Zhao

et al. 2016

J Polym Sci B Polym Phys

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Cavitation behavior in poly(4‐methyl‐1‐pentene) upon stretching below glass transition temperature was investigated by in situ ultra‐small angle X‐ray scattering technique. Strong stress‐whitening was observed indicating an extensive occurrence of cavitation in the material during tensile deformation below Tg. The X‐ray scattering patterns suggest oriented disc‐shaped cavities with normal mostly parallel to the stretching direction occurred. Structural parameters of such cavities such as thickness, radius, and tilting angle of the normal of the disc with respect to the stretching direction have been successfully calculated using a model fitting procedure. The results exhibited a two‐step process of cavitation that small amount of large cavities appeared first and then small cavities were triggered extensively in the samples at larger strains. This two‐step cavitation phenomenon can be weakened after the quenched sample was annealed or the sample was prepared by slow cooling. This peculiar two‐step cavitation process can be understood as a result of high frozen in internal stress in quenched sample that led to local failure of the materials. © 2016 Wiley Periodicals, Inc. J. Polym. Sci., Part B: Polym. Phys. 2016, 54, 2007–2014

show abstract

Q = 2 π^{2} φ_{A} φ_{B} {false(ρ_{A} - ρ_{B} false)}^{2}

where

φ_{A}

and

φ_{B}

denote the volume fraction of polymer matrix and the cavities and

ρ_{A}

and

ρ_{B}

are the corresponding electron density, respectively.…”

Section: Resultsmentioning

confidence: 99%

“…In order to calculate the volume fraction of cavities we have calibrated the absolute intensity. 38 The volume fraction of cavities can be obtained according to 39…”

Section: Resultsmentioning

confidence: 99%

Two‐step cavitation in semi‐crystalline polymer during stretching at temperature below glass transition

Chen

Zhao

et al. 2016

J Polym Sci B Polym Phys

View full text Add to dashboard Cite

show abstract

Duality theorem for L-R crossed coproducts

Cited by 1 publication

References 15 publications

Two‐step cavitation in semi‐crystalline polymer during stretching at temperature below glass transition

Two‐step cavitation in semi‐crystalline polymer during stretching at temperature below glass transition

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