Author: "T. R. Naujeck" / Language: undetermined - Searchworks@Jio Institute Digital Library Search Results

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Author: G. E. W. Schulze and T. R. Naujeck
Subjects: Physics, Polymers and Plastics, Field (physics), Mathematical analysis, Mineralogy, symbols.namesake, Colloid and Surface Chemistry, Spherulite, Line (geometry), Materials Chemistry, Euler's formula, symbols, Calculus of variations, Growth rate, Physical and Theoretical Chemistry, Supercooling, Differential (mathematics)
Abstract: We propose to take the calculus of variations in order to compute the shape of a growing 2D spherulite in an uniaxial field of growth rate. We are concerned with the growth line (a path that is traveled in the shortest possible time from nucleus to a point (x1, y1), where a molecule just crystallizes) and the growth front (the times between spherulite and supercooled material). The Euler differential equation—a result of the calculus of variations—is derived for all uniaxial growth ratesv (x). Here we especially investigatev(x)=px+q.
Published: 1991
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Author: G. E. W. Schulze and T. R. Naujeck
Subjects: Polypropylene, Materials science, Polymers and Plastics, Field (physics), Kinetic model, Mineralogy, law.invention, chemistry.chemical_compound, Colloid and Surface Chemistry, chemistry, Spherulite, law, Materials Chemistry, Calculus of variations, Physical and Theoretical Chemistry, Crystallization, Composite material
Abstract: A 2D spherulite grows in a linear-temperature field from a nucleus of polypropylene at (0,0). The growth lines and the growth fronts are computed by the calculus of variations. The agreement between theory and experiment is satisfactory
Published: 1991
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