scholarly journals Influence of an Embedded Condition on Stress Distribution on an Infinite Plate under Tension Containing Elastic Elliptic Plate －Mixed Boundary-Value Problem in Consideration of Partial Contact Region－

2018 ◽  
Vol 67 (6) ◽  
pp. 639-645
Author(s):  
Kounan SYU ◽  
Hiroyuki HAYASHI ◽  
Terumi YAMAMOTO
Keyword(s):  
Stress Distribution ◽  
Boundary Value Problem ◽  
Mixed Boundary ◽  
Contact Region ◽  
Boundary Value ◽  
Infinite Plate ◽  
Mixed Boundary Value Problem ◽  
Elliptic Plate ◽  
Partial Contact

A Solution of the Mixed Boundary Value Problem for an Infinite Plate With a Hole Under Uniform Heat Flux

1991 ◽  
Vol 58 (4) ◽  
pp. 996-1000 ◽  
Author(s):  
Norio Hasebe ◽  
Hideaki Irikura ◽  
Takuji Nakamura
Keyword(s):  
Heat Flux ◽  
Boundary Value Problem ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Infinite Plate ◽  
Mapping Function ◽  
Uniform Heat Flux ◽  
Mixed Boundary Value Problem ◽  
Rational Mapping ◽  
Uniform Heat

A general solution of the mixed boundary value problem with displacements and external forces given on the boundary is obtained for an infinite plate with a hole subjected to uniform heat flux. Complex stress functions, a rational mapping function, and the dislocation method are used for the analysis. The stress function is obtained in a closed form and the first derivative is given by such a form that does not contain the integral term. The mapping function is represented in the form of a sum of fractional expressions. A problem is solved for a crack initiating from a point of a circular hole on which the displacement is rigidly stiffened. Stress distributions and stress intensity factors are calculated.

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