@phdthesis{bibcite_3146,
  author = {Sofia Leon},
  title = {A unified library of nonlinear solution schemes: An excursion into nonlinear computational mechanics},
  abstract = {<p>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.</p>},
  year = {2010},
  journal = {Department of Civil and Environmental Engineering, UIUC},
  publisher = {UIUC},
  url = {https://hdl.handle.net/2142/18353},
}