Two Nearly Polygonal Holes: Mathematical Crack Problems

Esben Byskov

Two Nearly Polygonal Holes: Mathematical Crack Problems

Esben Byskov

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Abstract

The paper gives approximate solutions to two practical crack problems, namely a square and a hexagonal hole with small symmetrical corner cracks. The boundaries of the holes including the cracks are idealized by hypocycloids with 4 respectively 6 cusps.

G. I. BARENBLATT's theories for cracks in brittle materials are chosen as basis for presentation. Section 2 contains a brief introduction to these theories.

Original language	English

Place of Publication	København
Publisher	Danmarks Tekniske Højskole
Number of pages	9
Publication status	Published - 1969

Series	Laboratoriet for Bygningsteknik, LBT-R
Number	10

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title = "Two Nearly Polygonal Holes: Mathematical Crack Problems",

abstract = "The paper gives approximate solutions to two practical crack problems, namely a square and a hexagonal hole with small symmetrical corner cracks. The boundaries of the holes including the cracks are idealized by hypocycloids with 4 respectively 6 cusps. G. I. BARENBLATT's theories for cracks in brittle materials are chosen as basis for presentation. Section 2 contains a brief introduction to these theories.",

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AB - The paper gives approximate solutions to two practical crack problems, namely a square and a hexagonal hole with small symmetrical corner cracks. The boundaries of the holes including the cracks are idealized by hypocycloids with 4 respectively 6 cusps. G. I. BARENBLATT's theories for cracks in brittle materials are chosen as basis for presentation. Section 2 contains a brief introduction to these theories.

M3 - Report

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BT - Two Nearly Polygonal Holes

PB - Danmarks Tekniske Højskole

CY - København

ER -

Two Nearly Polygonal Holes: Mathematical Crack Problems

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