1981•TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series AOpen access

A Hollow Oblate Spheroid and an Oblate Spheroid Containing a Penny-Shaped Crack under Axisymmetric Pressure

Teruaki FUJITA, Eiichiro TSUCHIDA, Ichiro NAKAHARA

Abstract

中空へん平回転だ円体が一様な内外圧を受ける問題を三次元弾性論にもとづいて厳密に解析した. 解析においてはBoussinesqの応力関数にへん平回転だ円体調和関数を与え, 回転だ円体の内外面の境界条件を満足させた. また本研究で得られた結果と薄膜理論による結果とを比較し, 薄膜理論の適用限界を明らかにした. さらに特別の場合として円形き裂を有するへん平回転だ円体が一定内圧を受けるときの応力拡大係数を求めた.

Open-access reader

About this research paper

What this paper is about

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Spheroid, Oblate spheroid, Rotational symmetry, Mechanics, Physics, Prolate spheroid, Materials science, Classical mechanics