Complex geometries in CAD are mostly modelled employing trimming techniques. Therefore, IGA should be capable of dealing with trimmed geometries to fulfil its promise to carry out structural analysis directly on CAD geometries. Multiple methods for the Isogeometric Analysis of trimmed and immersed structures were presented over the last years (an overview is provided in [1]). CAD geometries are described by means of their boundaries which can be defined implicitly or parametrically [2]. The parametric description is mostly given by NURBS functions. The correct detection and accurate integration of the trimmed elements is decisive for the structural analysis. Thereby, robustness is of high importance because of the infinite variation of possible boundary shapes. We herein perform a comparative study of available quadrature procedures for trimmed structures. The focus is on the efficiency, robustness and accuracy of these methods. We consider quadrature rules based on implicit and parametric boundary definitions. Volume, interface and flux integrals are investigated. Surface and volume structures are considered. REFERENCES [1] Marussig, B., Hughes, T.J.R., 2018. A Review of Trimming in Isogeometric Analysis: Challenges, Data Exchange and Simulation Aspects. Arch Computat Methods Eng 25, 1059–1127. https://doi.org/10.1007/s11831-017-9220-9 [2] Breitenberger, M., Apostolatos, A., Philipp, B., Wüchner, R., Bletzinger, K.-U., 2015. Analysis in computer aided design: Nonlinear isogeometric B-Rep analysis of shell structures. Computer Methods in Applied Mechanics and Engineering 284, 401–457. https://doi.org/10.1016/j.cma.2014.09.033     «

Complex geometries in CAD are mostly modelled employing trimming techniques. Therefore, IGA should be capable of dealing with trimmed geometries to fulfil its promise to carry out structural analysis directly on CAD geometries. Multiple methods for the Isogeometric Analysis of trimmed and immersed structures were presented over the last years (an overview is provided in [1]). CAD geometries are described by means of their boundaries which can be defined implicitly or parametrically [2]. The pa...    »