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10000-01-01 1999 1999 Goldbart, Paul M. Castillo, Horacio Emilio 2015-09-25T20:03:30Z 2015-09-25T20:03:30Z In the third part of this work, a semi-microscopic statistical-mechanical theory of the elastic properties of the amorphous solid state is presented that accounts for both thermal fluctuations and quenched disorder. It is found that the shear modulus grows continuously from zero at the transition, and does so with the classical exponent, i.e., with the third power of the excess crosslink density. It is also found that, quite surprisingly, the external stresses do not spoil the spherical symmetry of the localization clouds of the particles near the transition. Made available in DSpace on 2015-09-25T20:03:30Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9921669.pdf: 8045080 bytes, checksum: fb0f8cedaff80f979dc4e23677e9535c (MD5) Previous issue date: 1999 Embargo set by: Seth Robbins for item 81946 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 180 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999. http://hdl.handle.net/2142/80664 (MiAaPQ)AAI9921669 eng Engineering, Electronics and Electrical Statistical Mechanics of the Amorphous Solid State of Randomly Cross-Linked Macromolecules text Physics Physics University of Illinois at Urbana-Champaign Dissertation Ph.D.