2018
DOI: 10.1002/nme.5832
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A novel scaled boundary finite element formulation with stabilization and its application to image‐based elastoplastic analysis

Abstract: Summary Digital images are increasingly being used as input data for computational analyses. This study presents an efficient numerical technique to perform image‐based elastoplastic analysis of materials and structures. The quadtree decomposition algorithm is employed for image‐based mesh generation, which is fully automatic and highly efficient. The quadtree cells are modeled by scaled boundary polytope elements, which eliminate the issue of hanging nodes faced by standard finite elements. A novel, simple, a… Show more

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Cited by 27 publications
(17 citation statements)
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References 70 publications
(167 reference statements)
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“…With this method, complex mesoscale material discontinuities between aggregates and mortar recorded by computed tomography (CT) scans are considered to calculate the displacement and stress distribution of a concrete specimen. 55,56 As an embedded domain method, in the finite cell method (FCM), 57 the mesh element size is uniform and is completely independent of the pixel sizes. Complex external boundaries of a statue and the cistern of Hagia Thekla Basilica are simulated with structured meshes in FCM.…”
Section: Image-based Deformation Simulationsmentioning
confidence: 99%
See 1 more Smart Citation
“…With this method, complex mesoscale material discontinuities between aggregates and mortar recorded by computed tomography (CT) scans are considered to calculate the displacement and stress distribution of a concrete specimen. 55,56 As an embedded domain method, in the finite cell method (FCM), 57 the mesh element size is uniform and is completely independent of the pixel sizes. Complex external boundaries of a statue and the cistern of Hagia Thekla Basilica are simulated with structured meshes in FCM.…”
Section: Image-based Deformation Simulationsmentioning
confidence: 99%
“…Benefiting from its unique interpolation manners, hanging nodes do not bring inconvenience in this transition. With this method, complex mesoscale material discontinuities between aggregates and mortar recorded by computed tomography (CT) scans are considered to calculate the displacement and stress distribution of a concrete specimen 55,56 …”
Section: Introductionmentioning
confidence: 99%
“…Quadtree decomposition technique is initiated by Finkel and Bentley (1974), which can decompose a domain with high efficiency (He et al, 2018(He et al, , 2019Saputra et al, 2017;Shao and Ding, 2017). It can be seamlessly combined with SBFEM because the hanging nodes located between adjacent 2017) is employed here.…”
Section: Imaged-based Quadtree Decompositionmentioning
confidence: 99%
“…Therefore, complex microstructures of concrete are imported into the SBFEM straightforwardly through an segmented CT image for stress analysis. 16,19 But strong discontinuities (cracks) are not considered in these works. In SBFEM, the whole boundaries of the polygon elements must be directly visible from the scaling center.…”
Section: Introductionmentioning
confidence: 99%