ISSN:
1432-0924
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
Abstract By partitioning solution space into a number of subspaces, a new multiply constrained partitioned Newton Raphson nonlinear equation solver is developed. Specifically, for a given iteration, each of the various separate partitions are individually and simultaneously controlled. Due to the generality of the scheme, a hierarchy of partition levels can be employed. For finite element type applications, this includes the possibility of degree of freedom, nodal, elemental, geometric substructural, material and kinematically nonlinear group controls. Note, such partitioning can be continuously updated depending on solution conditioning. In this context, convergence is ascertained at the individual partition level. To verify the numerical properties of the scheme, several formal theorems are derived. These enable the evaluation of solution conditioning. In addition to purely formal considerations, the results of several numerical experiments are presented. These involve problems exhibiting large deformation kinematic, as well as, pre and postbuckling behavior.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00368960
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