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A simple algorithm for localized construction of non‐matching structural interfaces
Author(s) -
Park K. C.,
Felippa C. A.,
Rebel G.
Publication year - 2002
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.374
Subject(s) - simple (philosophy) , frame (networking) , algorithm , discretization , piecewise , modular design , a priori and a posteriori , matching (statistics) , piecewise linear function , interface (matter) , mathematics , mathematical optimization , key (lock) , computer science , connection (principal bundle) , geometry , mathematical analysis , parallel computing , telecommunications , philosophy , statistics , computer security , epistemology , bubble , maximum bubble pressure method , operating system
A simple and effective algorithm for the modular construction of non‐matched interfaces is presented for the partitioned solution of large‐scale structural problems. The formulation is based on a recently developed four‐field variational principle, which introduces a connection frame between the interfaced partitions. A key result of the present study is a frame nodal placement criterion that uniquely determines the frame discretization into piecewise linear elements so that the interface patch test condition is satisfied a priori . The method is demonstrated with several 2D and 3D example problems. Copyright © 2002 John Wiley & Sons, Ltd.