付録２　学位論文の概要

付録２　学位論文の概要

これは、アメリカのコロンビア大学のR. D. Mindlin 教授（Civil Engineering Department)の指導の下で行なった研究の概要です。所属は、冶金学科（Metallurgy Department, Henry Krumb School of Mines: 指導教官：M.Gensamer教授）でしたが。


Accession Number : AD0654774
（DTIC: Defense Technical Information Center; アメリカ国防省の技術情報センターとでも訳すのでしょうか。私は、研究の一部について、アメリカ陸軍から援助を受けていましたので、ここに論文があるのです。)

Title : SECOND GRADIENT OF STRAIN IN LINEAR ELASTICITY AND ITS APPLICATIONS.

Descriptive Note : Doctoral thesis,

Corporate Author : COLUMBIA UNIV NEW YORK HENRY KRUMB SCHOOL OF MINES

Personal Author(s) : Iwata,Seiichi

Report Date : JUN 1967

Pagination or Media Count : 74

Abstract : This study is an attempt to apply the Mindlin theory of elasticity, where the energy density is a function of strain and its first and second gradients, to several mathematically tractable problems and to examine and compare the results obtained with the discrete particle theory and with experiment. A simple physically understandable discrete particle theory is developed for a two-dimensional lattice using differences and difference equations in place of derivatives and differential equations. This gives further insight into the Mindlin theory. In the Mindlin theory, some problems associated with cylindrical and spherical surfaces are solved. The Mindlin theory and the discrete particle theory are compared with experiments such as low energy electron diffraction and neutron diffraction studies. (Author)

Descriptors : *ELASTIC PROPERTIES, *STRAIN(MECHANICS), MATHEMATICAL MODELS, MATHEMATICAL ANALYSIS, THESES, BOUNDARY VALUE PROBLEMS, SURFACE PROPERTIES, HAMILTONIAN FUNCTIONS, SOLIDS, ELECTRON DIFFRACTION, NEUTRON DIFFRACTION.

Subject Categories : MECHANICS

Distribution Statement : APPROVED FOR PUBLIC RELEASE




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