Nihon Reoroji Gakkaishi
Online ISSN : 2186-4586
Print ISSN : 0387-1533
ISSN-L : 0387-1533
AWARD LECTURE ARTICLES
Mathematical and Experimental Approaches to Structural Characterization and Mechanical Properties of Polymeric Solids
Koh-hei Nitta
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2018 Volume 46 Issue 5 Pages 195-202

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Abstract

Various novel mathematical approaches to analyze the tensile properties and molecular structure in polymeric solids are introduced. The failure behavior such as yielding and necking is treated as a phase modification resulting from an elemental catastrophe phenomenon. The ductile fracture behavior under tension is characterized by a stochastic Ito-process where the probability density functions of fracture time, strength, and toughness followed Gaussian statistics. In addition, a grath-theoretical approach is applied to give the radius of gyration and dynamics of polymer molecules which is a key parameter in morphology formation being directly related to mechanical failure and fracture.

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© 2018 The Society of Rheology, Japan
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