1991
DOI: 10.1007/bf00657407
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A growing 2D spherulite and calculus of variations Part II: A 2D spherulite of polypropylene in a linear temperature field

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Cited by 15 publications
(5 citation statements)
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“…The anisotropy of spherulite growth, the quasiparabolic shapes of interspherulitic boundaries, and also the change of lamellae growth trajectories in the motion direction were revealed by means of light microscopy. Schulze and Naujeck22 predicted the spherulite shapes and growth trajectories in a unidirectional temperature field based on the assumption of minimum growth time along each trajectory, and they confirmed the predictions experimentally by light microscopy studies of the growth of iPP spherulites in a temperature gradient. Swaminarayan and Charbon,23 who conducted a computer simulation of the R‐lamellae growth and their branching in a temperature gradient, pointed out that the lamellae branching and selection of the fastest path was the reason for the nonradial lamellae alignment.…”
Section: Introductionmentioning
confidence: 56%
“…The anisotropy of spherulite growth, the quasiparabolic shapes of interspherulitic boundaries, and also the change of lamellae growth trajectories in the motion direction were revealed by means of light microscopy. Schulze and Naujeck22 predicted the spherulite shapes and growth trajectories in a unidirectional temperature field based on the assumption of minimum growth time along each trajectory, and they confirmed the predictions experimentally by light microscopy studies of the growth of iPP spherulites in a temperature gradient. Swaminarayan and Charbon,23 who conducted a computer simulation of the R‐lamellae growth and their branching in a temperature gradient, pointed out that the lamellae branching and selection of the fastest path was the reason for the nonradial lamellae alignment.…”
Section: Introductionmentioning
confidence: 56%
“…It is also known that the temperature gradient leads to anisotropic spherulite growth and shapes and affects the directions of spherulite growth. The growth trajectories bend in the temperature gradient, being normal to the growth front 2–4. The changes in interspherulitic boundary shapes have also been reported 2, 4.…”
Section: Introductionmentioning
confidence: 61%
“…Shulze and Naujack3, 21 derived an analytical equation describing the anisotropic shape of the spherulite and the variable growth directions in a uniaxial field of the growth rate by introducing the condition of the minimum time along the growth lines. The growth lines were always normal to the growth front.…”
Section: Introductionmentioning
confidence: 99%
“…[6,7] Spherulites are no longer circular or spherical but exhibit shape anisotropy caused by the temperature dependence of the growth rate. [6,7] Spherulites are no longer circular or spherical but exhibit shape anisotropy caused by the temperature dependence of the growth rate.…”
Section: Introductionmentioning
confidence: 99%