2018 年度研究成果報告書

Bridging across mathematical analysis, probability and materials mechanics for a better modeling of martensitic microstructure and defects.

研究課題

研究課題/領域番号	16K21213
研究種目	若手研究(B)
配分区分	基金
研究分野	数学解析機械材料・材料力学
研究機関	九州大学
研究代表者	Cesana Pierluigi 九州大学, マス・フォア・インダストリ研究所, 准教授 (60771532)
研究期間 (年度)	2016-04-01 – 2019-03-31
キーワード	Non-linear analysis / Materials Science / Gamma-convergence / Stochastic processes
研究成果の概要	The purpose of the research plan is the development of mathematical theories to investigate the emergence of instabilities and defects at very small scales in classes of materials relevant for technological applications, such as, Shape-Memory Alloys and soft crystalline biopolymers.
自由記述の分野	Calculus of Variations
研究成果の学術的意義や社会的意義	The modeling work has bridged across analysis (disclinations described as solutions to differential inclusions) and probability (description of self-similarity via branching random walks). This mathematical work has complemented the experimental work performed in Japanese laboratories.