Unified Treatment of Analytical Solutions for Uniform Heat Flow Problems of Isotropic Elastic Body with Hole of Arbitrary Shape and Their Numerical Examples.

Kazuhisa FUJIKAWA; Ken-ichi HIRASHIMA

doi:10.2472/jsms.46.1306

Unified Treatment of Analytical Solutions for Uniform Heat Flow Problems of Isotropic Elastic Body with Hole of Arbitrary Shape and Their Numerical Examples.

Journal of the Society of Materials Science Japan ◽

10.2472/jsms.46.1306 ◽

1997 ◽

Vol 46 (11) ◽

pp. 1306-1311

Author(s):

Kazuhisa FUJIKAWA ◽

Ken-ichi HIRASHIMA

Keyword(s):

Heat Flow ◽

Elastic Body ◽

Analytical Solutions ◽

Arbitrary Shape ◽

Numerical Examples ◽

Flow Problems ◽

Isotropic Elastic Body ◽

Uniform Heat

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Analytical Solutions for Semi-Infinite Problems under Several Boundaries Including Sliding Conditions. 1st Report. Case of In-Plane Problems for Isotropic Elastic Body.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A ◽

10.1299/kikaia.58.745 ◽

1992 ◽

Vol 58 (549) ◽

pp. 745-752

Author(s):

Sumio TANAKA ◽

Ken-ichi HIRASHIMA ◽

Yukio HIROSE ◽

Toshio MURA

Keyword(s):

Elastic Body ◽

Analytical Solutions ◽

Isotropic Elastic Body

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Analytical solutions to a coated triangle hole embedded in an infinite plate under a remote uniform heat flow

Journal of Thermal Stresses ◽

10.1080/01495739.2018.1461043 ◽

2018 ◽

Vol 41 (10-12) ◽

pp. 1259-1275 ◽

Cited By ~ 3

Author(s):

C. K. Chao ◽

S. C. Tseng ◽

F. M. Chen

Keyword(s):

Heat Flow ◽

Analytical Solutions ◽

Infinite Plate ◽

Uniform Heat

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Extracting the support function of a cavity in an isotropic elastic body from a single set of boundary data

Inverse Problems ◽

10.1088/0266-5611/25/10/105005 ◽

2009 ◽

Vol 25 (10) ◽

pp. 105005 ◽

Cited By ~ 8

Author(s):

Masaru Ikehata ◽

Hiromichi Itou

Keyword(s):

Elastic Body ◽

Support Function ◽

Boundary Data ◽

Isotropic Elastic Body ◽

Single Set

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Three dimensional boundary element analysis of transversely isotropic elastic body.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A ◽

10.1299/kikaia.54.471 ◽

1988 ◽

Vol 54 (499) ◽

pp. 471-475 ◽

Cited By ~ 1

Author(s):

Haruo ISHIKAWA ◽

Hajime TAKAGI

Keyword(s):

Boundary Element ◽

Elastic Body ◽

Three Dimensional ◽

Transversely Isotropic ◽

Element Analysis ◽

Isotropic Elastic Body ◽

Dimensional Boundary ◽

Boundary Element Analysis

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A simple finite-difference modification for improving accuracy near a corner in heat flow problems

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620100409 ◽

1976 ◽

Vol 10 (4) ◽

pp. 827-832 ◽

Cited By ~ 5

Author(s):

Graham E. Bell ◽

John Crank

Keyword(s):

Heat Flow ◽

Finite Difference ◽

Flow Problems ◽

Improving Accuracy

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Thermal Stress at Spherical Cavities and Circular Holes in Uniform Heat Flow

Journal of Applied Mechanics ◽

10.1115/1.4011999 ◽

1959 ◽

Vol 26 (2) ◽

pp. 293-294

Author(s):

A. L. Florence ◽

J. N. Goodier

Keyword(s):

Thermal Stress ◽

Heat Flow ◽

Uniform Heat ◽

Spherical Cavities ◽

Circular Holes

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THERMAL STRESSES AROUND TWO PARALLEL CRACKS IN AN INFINITE ORTHOTROPIC PLATE UNDER UNIFORM HEAT FLOW

Journal of Thermal Stresses ◽

10.1080/014957301300194832 ◽

2001 ◽

Vol 24 (7) ◽

pp. 677-694 ◽

Cited By ~ 6

Author(s):

S. Itou

Keyword(s):

Heat Flow ◽

Orthotropic Plate ◽

Thermal Stresses ◽

Parallel Cracks ◽

Uniform Heat ◽

Two Parallel Cracks

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Stress Analysis of an Infinite Plate with a Coated Elliptic Hole Under a Remote Uniform Heat Flow

Journal of Thermal Stresses ◽

10.1080/01495730801978547 ◽

2008 ◽

Vol 31 (7) ◽

pp. 599-613 ◽

Cited By ~ 14

Author(s):

F. M. Chen ◽

C. K. Chao

Keyword(s):

Heat Flow ◽

Stress Analysis ◽

Elliptic Hole ◽

Infinite Plate ◽

Uniform Heat

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An Adaptive Finite Volume Method for Incompressible Heat Flow Problems in Solidification

Journal of Computational Physics ◽

10.1006/jcph.2002.7037 ◽

2002 ◽

Vol 178 (2) ◽

pp. 464-497 ◽

Cited By ~ 48

Author(s):

C.W. Lan ◽

C.C. Liu ◽

C.M. Hsu

Keyword(s):

Heat Flow ◽

Finite Volume Method ◽

Finite Volume ◽

Flow Problems ◽

Volume Method

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Thermal Stresses Due to Disturbance of Uniform Heat Flow by an Insulated Ovaloid Hole

Journal of Applied Mechanics ◽

10.1115/1.3644074 ◽

1960 ◽

Vol 27 (4) ◽

pp. 635-639 ◽

Cited By ~ 118

Author(s):

A. L. Florence ◽

J. N. Goodier

Keyword(s):

Heat Flow ◽

Closed Form ◽

Thermal Stresses ◽

Thermoelastic Problem ◽

Uniform Heat ◽

Special Cases

The linear thermoelastic problem is solved for a uniform heat flow disturbed by a hole of ovaloid form, which includes the ellipse and circle as special cases. Results for stress and displacement are found in closed form, by reducing the problem to one of boundary loading solvable by a method of Muskhelishvili.

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