Image-based goal-oriented adaptive isogeometric analysis with application to the micro-mechanical modeling of trabecular bone

摘要: Abstract 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 effective elastic properties scan-based volumetric arbitrary geometric and topological complexity. The first step reconstruction smooth geometry from voxel data using B -spline level set function. second goal-oriented adaptive isogeometric linear analysis. Elements are selected for refinement dual-weighted residual shape function indicators, hierarchical splines employed construct locally refined spline spaces. proposed studied detail various numerical test cases, including computation Young’s modulus trabecular bone micro-structure reproduced μ CT -scan data.