Direct structural analysis of domains defined by point clouds

Kudela, László; Kollmannsberger, Stefan; Almaç, Umut; Rank, Ernst

doi:10.1016/j.cma.2019.112581

Cited by 26 publications

(14 citation statements)

References 38 publications

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“…Recently, it was demonstrated in [10] that is possible to use point clouds as a direct input for computational mechanical analysis and, thereby, to avoid the multitude of otherwise necessary preprocessing steps. Therein, the key idea is to view the point cloud as a geometrical model which implicitly defines the physical domain of interest.…”

Section: Geometric Modelsmentioning

confidence: 99%

“…Point cloud models fall into a similar category as they can be generated from pictures or are directly provided by laser scans of existing artifacts. The direct mechanical analysis of objects described by (oriented) point clouds as presented in [10] used a diffuse approach to evaluate the contour integrals in eq. ( 1).…”

Section: Computation On Implicitly Defined Domainsmentioning

confidence: 99%

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Enforcing essential boundary conditions on domains defined by point clouds

Hartmann¹,

Kollmannsberger²

2021

Preprint

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This paper develops and investigates a new method for the application of Dirichlet boundary conditions for computational models defined by point clouds. Point cloud models often stem from laser or structured-light scanners which are used to scan existing mechanical structures for which CAD models either do not exist or from which the artifact under investigation deviates in shape or topology. Instead of reconstructing a CAD model from point clouds via surface reconstruction and a subsequent boundary conforming mesh generation, a direct analysis without pre-processing is possible using embedded domain finite element methods. These methods use non-boundary conforming meshes which calls for a weak enforcement of Dirichlet boundary conditions. For point cloud based models, Dirichlet boundary conditions are usually imposed using a diffuse interface approach. This leads to a significant computational overhead due to the necessary computation of domain integrals. Additionally, undesired side effects on the gradients of the solution arise which can only be controlled to some extent. This paper develops a new sharp interface approach for point cloud based models which avoids both issues. The computation of domain integrals is circumvented by an implicit approximation of corresponding Voronoi diagrams of higher order and the resulting sharp approximation avoids the side-effects of diffuse approaches. Benchmark examples from the graphics as well as the computational mechanics community are used to verify the algorithm. All algorithms are implemented in the FCMLab framework and provided at https://gitlab.lrz.de/cie_sam_public/fcmlab/. Further, we discuss challenges and limitations of point cloud based analysis w.r.t. application of Dirichlet boundary conditions.

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Section: Geometric Modelsmentioning

confidence: 99%

Section: Computation On Implicitly Defined Domainsmentioning

confidence: 99%

Enforcing essential boundary conditions on domains defined by point clouds

Hartmann¹,

Kollmannsberger²

2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Another study was conducted by Kudela et al (2019) for 3D numerical analysis of the Hagia Thekla Basilica (Meryemlik, Turkey), utilizing Finite Cell Method (FCM) (Parvizian et al 2007) and laser-scanned point cloud. The elements of the real structure embedded into coarse finite cell mesh following the idea of Constructive Solid Geometry (CSG) modeling (Wassermann et al 2017).…”

Section: Introductionmentioning

confidence: 99%

Multiple methods for voxel modeling and finite element analysis for man-made caves in soft rock of Gaziantep

Doğan

Güllü

2021

Bull Eng Geol Environ

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This study focuses on developing methods for generation of 3D voxel models for Finite Element Structural Analysis, for the man-made caves of Gaziantep City at South-east Anatolia, Turkey. These caves become risky for the buildings above due to long weathering period and some caves in the city have collapsed in the last decade. The necessary structural analysis to predict the risk of roof collapses could be performed using FEM. But the difficulties in construction of exact 3D geometrical models of the cave structures and the limitations of FEM softwares in modeling necessitate new and practical methods for modeling. Developing voxel models using the Point Clouds, generated by terrestrial laser scanning, could be an appropriate approach for these irregular caves. Comparable approaches of the Voxel and Finite Cell models on historical buildings were adopted in relevant publications. These papers generally were dealt with historical buildings but none of them have focused on caves. Furthermore, the methods were not explained in detail for the reader. With this contribution some simple and direct methods for generation of Voxel and Finite Cell models from point clouds are presented. The proposed method of finite cells has used to construct the model for one of the caves utilizing the point cloud data. The vertical and horizontal stresses are demonstrated graphically by stress contours on the cross section of the cave. The levels of maximum stresses are found to be exceeding the critical level for fractured rock mass, indicating the possibility of partial or overall collapse of the cave ceiling.

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“…Zander et al [52] directly used a 3D finite cell toolbox FCMLab to work on a femur defined by voxel model. Verhoosel et al [53] proposed an image-based adaptive IGA and applied it to the micromechanical modeling of trabecular bone, where the goaladaptive FCM was used to compute elastic properties. Recently, Kudela et al [54] completed the direct structural analysis of domains defined by oriented point clouds based on the FCM.…”

Section: Introductionmentioning

confidence: 99%

Isogeometric analysis based on geometric reconstruction models

Wang

Gao

et al. 2021

Front. Mech. Eng.

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In isogeometric analysis (IGA), the boundary representation of computer-aided design (CAD) and the tensor-product non-uniform rational B-spline structure make the analysis of three-dimensional (3D) problems with irregular geometries difficult. In this paper, an IGA method for complex models is presented by reconstructing analysis-suitable models. The CAD model is represented by boundary polygons or point cloud and is embedded into a regular background grid, and a model reconstruction method is proposed to obtain the level set function of the approximate model, which can be directly used in IGA. Three 3D examples are used to test the proposed method, and the results demonstrate that the proposed method can deal with complex engineering parts reconstructed by boundary polygons or point clouds.

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Direct structural analysis of domains defined by point clouds

Cited by 26 publications

References 38 publications

Enforcing essential boundary conditions on domains defined by point clouds

Enforcing essential boundary conditions on domains defined by point clouds

Multiple methods for voxel modeling and finite element analysis for man-made caves in soft rock of Gaziantep

Isogeometric analysis based on geometric reconstruction models

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