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A simple approach towards fully stressed design in hyperelasticity exploiting the isoparametric finite element concept
Author(s) -
Kirchner Eckhard,
Immel Rainer
Publication year - 2000
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/(sici)1097-0207(20000520)48:2<185::aid-nme873>3.0.co;2-0
Subject(s) - hyperelastic material , simple (philosophy) , finite element method , element (criminal law) , parallelism (grammar) , point (geometry) , computer science , mathematical optimization , key (lock) , mixed finite element method , mathematics , structural engineering , geometry , engineering , parallel computing , computer security , epistemology , political science , law , philosophy
A novel approach towards fully stressed designs in hyperelasticity is discussed leading to closed‐form expressions for the sensitivities of the objective and displacements with respect to design variations. The key idea is the modification of the classical approach coupled with a so‐called design element method offering a lot of parallelism to standard finite element methods. We bypass implicit constraints on dependent quantities and derive an explicit linearly constrained optimization problem solved by means of first‐order procedures. The results obtained with the proposed method are adequate from an engineering point of view though being computed with a simple method. Copyright © 2000 John Wiley & Sons, Ltd.