2026-09-21T01:44:01Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/18353 2023-07-10 col_2142_5131 col_2142_14770 com_2142_5130 com_2142_3518 com_2142_234

Paulino, Glaucio H. Leon, Sofia 2011-01-14T22:47:14Z 2011-01-14T22:47:14Z 2011-01-14T22:47:14Z A library of nonlinear solution schemes including load, displacement, arc-length, work, generalized displacement, and orthogonal residual control are cast into a unified framework for solving nonlinear finite element systems. Each of these solution schemes differs in the use of a constraint equation for the incremental-iterative procedure. The governing finite element equations and constraint equation for each solution scheme are combined into a single matrix equation, which characterizes the unified approach. This theoretical model leads naturally to an effective object-oriented implementation and potential for integration into a finite element analysis code. Using this framework, the strengths and weaknesses of the various solution schemes are examined through several numerical examples. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2010-12-07T21:43:37Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 MSthesis_Leon_Sofia.zip: 2483620 bytes, checksum: c7fb1304dc472b60c3a461f85e592cb5 (MD5) Leon_Sofia.pdf: 4387459 bytes, checksum: ada38e3f2d7f4985dc1b403c761ca954 (MD5) Made available in DSpace on 2011-01-14T22:47:14Z (GMT). No. of bitstreams: 3 Leon_Sofia.pdf: 4387459 bytes, checksum: ada38e3f2d7f4985dc1b403c761ca954 (MD5) license.txt: 4057 bytes, checksum: b46b67f05967ba1beb3109a52122c436 (MD5) MSthesis_Leon_Sofia.zip: 2483620 bytes, checksum: c7fb1304dc472b60c3a461f85e592cb5 (MD5) http://hdl.handle.net/2142/18353 en Copyright 2010 Sofia E. Leon Nonlinear solution schemes nonlinear finite element analysis incremental-iterative procedure Newton-Raphson method displacement control method arc-length control method work control method generalized displacement control method orthogonal residual procedure A unified library of nonlinear solution schemes: An excursion into nonlinear computational mechanics 2010-12 Civil & Environmental Eng 1251 Civil Engineering 0106 University of Illinois at Urbana-Champaign Thesis M.S. MS:Civil Engineering -UIUC 10KS0106MS