Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 284, Issue -, Pages 138-164Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2014.07.009
Keywords
Isogeometric analysis; Finite cell method; Hierarchical splines; Goal-oriented error estimation and adaptivity; Image-based analysis; Trabecular bone micro-structures
Funding
- Netherlands Organization for Scientific Research (NWO)
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Isogeometric analysis (IGA) of geometrically complex three-dimensional objects is possible when used in combination with the Finite Cell method (FCM). In this contribution we propose a computational methodology to automatically analyze the effective elastic properties of scan-based volumetric objects of arbitrary geometric and topological complexity. The first step is the reconstruction of a smooth geometry from scan-based voxel data using a B-spline level set function. The second step is a goal-oriented adaptive isogeometric linear elastic analysis. Elements are selected for refinement using dual-weighted residual shape function indicators, and hierarchical splines are employed to construct locally refined spline spaces. The proposed methodology is studied in detail for various numerical test cases, including the computation of the effective Young's modulus of a trabecular bone micro-structure reproduced from mu CT-scan data. (C) 2014 Elsevier B.V. All rights reserved.
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