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Title:

Efficient computation of nonlinear isogeometric elements using the adjoint method and algorithmic differentiation

Document type:
Zeitschriftenaufsatz
Author(s):
Oberbichler, Thomas; Wüchner, Roland; Bletzinger, Kai-Uwe
Abstract:
We present a consistent and efficient approach to the formulation of geometric nonlinear finite elements for isogeometric analysis (IGA) and isogeometric B-Rep analysis (IBRA) based on the adjoint method. IGA elements are computationally expensive, especially for high polynomial degrees. Using the method presented here enables us to reduce this disadvantage and develop a methodical framework for the efficient implementation of IGA elements. The elements are consistently derived from energy funct...     »
Keywords:
Adjoint method, Core-congruential formulation, Isogeometric analysis, Isogeometric B-Rep analysis (IBRA), Algorithmic differentiation, Automatic differentiation
Journal title:
Computer Methods in Applied Mechanics and Engineering
Year:
2021
Journal volume:
381
Pages contribution:
113817
Fulltext / DOI:
doi:10.1016/j.cma.2021.113817
WWW:
https://www.sciencedirect.com/science/article/pii/S0045782521001535
Print-ISSN:
0045-7825
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