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Title:  The elastic stress field produced by a point force in a cubic crystal 
Author(s):  Lie, KyoonHaeng Choh 
Doctoral Committee Chair(s):  Koehler, James S. 
Department / Program:  Physics 
Discipline:  Physics 
Degree:  Ph.D. 
Genre:  Dissertation 
Subject(s):  elastic stress field
point force cubic crystal infinite elastic solid 
Abstract:  Fredholm in 1900 gave a solution in principle for the displacements generated by a point force at the origin in an infinite elastic solid. Eshe1by in 1955 gave an approximate solution of the dilatation for the triple force at the origin wi th no moment. Eshe1by and Leibried gave expressions which converge only when [equation] The present calculation uses Fredholm's work to provide a Fourier expansion of displacement which converges for all stable cubic crystals. The convergence of the series giving the displacement due to apoint force is very slow for lithium which is on the verge of 2c:44 0 a phase change [equation] at 78. K Detailed calculations of stress fields have been made for aluminum and copper. It is noted that for Cu a contribution of additional terms besides that given by Eshe1by appears in the angular dependence of dilatation for the triple double force but for At the dilatation is in close agreement with Eshe1by's result. The elastic interaction energies of two triple double force interstitia1s and of two single double force interstitia1s with no moment are calculated. The calculated stresses are accurate to about 15 and 8 percent of their value for Cu and At, respectively. Fifteen terms for Cu and six terms for At were used in the series for stresses. Better accuracy could be obtained by including higher order terms in the expansions. 
Issue Date:  1967 
Genre:  Dissertation / Thesis 
Type:  Text 
Language:  English 
URI:  http://hdl.handle.net/2142/25691 
Rights Information:  1967 KyoonHaeng Choh Lie 
Date Available in IDEALS:  20110707 
Identifier in Online Catalog:  6086910 
This item appears in the following Collection(s)

Dissertations and Theses  Physics
Dissertations in Physics 
Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois