scholarly journals Stress Concentration around a Prolate Spheroidal Cavity in a Semi-infinite Elastic Body Under All -round Tension

1982 ◽  
Vol 25 (202) ◽  
pp. 493-500 ◽  
Author(s):  
Eiichiro TSUCHIDA ◽  
Yoshiyuki SAITO ◽  
Ichiro NAKAHARA ◽  
Masao KODAMA
Keyword(s):  
Stress Concentration ◽  
Elastic Body ◽  
Prolate Spheroidal ◽  
Spheroidal Cavity

scholarly journals Stresses in a Semi-infinite Elastic Body Containing a Prolate Spheroidal Cavity Subjected to an Axisymmetric Pressure

1982 ◽  
Vol 25 (204) ◽  
pp. 891-897 ◽  
Author(s):  
Eiichiro TSUCHIDA ◽  
Yoshiyuki SAITO ◽  
Ichiro NAKAHARA ◽  
Masao KODAMA
Keyword(s):  
Elastic Body ◽  
Prolate Spheroidal ◽  
Spheroidal Cavity

Determination Coefficient of Stress Concentration Using a Conformed Display on a Circle of a Single Radius

2021 ◽  
Vol 316 ◽  
pp. 928-935
Author(s):  
Alexander Shapoval ◽  
Iurii Savchenko ◽  
Oleg Markov
Keyword(s):  
Mathematical Model ◽  
Stress Concentration ◽  
Elastic Body ◽  
Defect Formation ◽  
Point Of View ◽  
Determination Coefficient ◽  
Arbitrary Loading ◽  
Deformed State ◽  
Single Radius

Developed a mathematical model, which makes it possible to optimize, from the point of view of defect formation, the parameters of stress concentration in a deformable elastic body of the materials being processed, destruction is considered as a method for creating defects at a submicroscopic level in various media. Getting expressions of conformal reflection of single circle on an arbitrary area, using a conformal reflection and transformation of Laplace, it is possible to design behavior of a tensely deformed state of solid at the arbitrary loading.

Many-electron atom confinement by a penetrable prolate spheroidal cavity

2021 ◽  
Vol 75 (4) ◽  
Author(s):  
S. A. Cruz ◽  
C. Díaz-García ◽  
D. Garrido-Aguirre ◽  
R. Reyes-García
Keyword(s):  
Prolate Spheroidal ◽  
Electron Atom ◽  
Spheroidal Cavity

Thermo-Elastic Responses Associated With Cavities and Cracks in Infinite Media

1982 ◽  
Vol 104 (4) ◽  
pp. 377-383 ◽  
Author(s):  
S. H. Advani ◽  
J. K. Lee ◽  
H. F. Wang
Keyword(s):  
Finite Element ◽  
Failure Criteria ◽  
Prolate Spheroidal ◽  
Ellipsoidal Cavity ◽  
Spheroidal Cavity ◽  
Elasticity Solutions ◽  
Elastic Responses ◽  
Element Technique ◽  
Infinite Media

The increased adaption of classical thermo-elasticity solutions for rock mechanics applications has been evident in recent years. In this paper, specialized thermo-elastic solutions for a triaxial ellipsoidal cavity with uniform surface temperature are presented and results for several limiting cases are deduced. For completeness and comparison, solutions and results for the related thermally stressed problem of a prolate spheroidal cavity are detailed. In addition, the applicability of the finite element technique and an appropriate failure criteria for in-situ thermo-mechanical problems is indicated.

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