A novel scaled boundary finite element formulation with stabilization and its application to image‐based elastoplastic analysis

He, Ke; Song, Chongmin; Ooi, Ean Tat

doi:10.1002/nme.5832

Cited by 26 publications

(17 citation statements)

References 70 publications

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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%

“…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%

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3D simulation of complex fractures with a simple mesh

2022

Numerical Meth Engineering

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Rock masses are 3D in nature. The contained complex fracture networks pose great difficulty to its computer-aided design (CAD) modeling and bring meshing burdens to classic finite element analysis (FEA). Considering the efficiency of digital images capturing complex geometries, as an extension of the previous 2D work, the 3D implementation of the image-based simulation is carried out in this work. Continuous-discontinuous deformations of complex rock masses are simulated in 3D with a simple structured mesh based on the numerical manifold method (NMM). Characteristics of the developed voxel crack model and its differences with discrete and smeared crack models are summarized. Based on this voxel crack model, the generating algorithm of 3D physical patches to construct the continuous-discontinuous trial function is introduced in detail. In the developed method, the three spatial resolutions, respectively of the image model, integration voxels, and mathematical elements, are independent. These resolutions can be chosen freely by trading off the accuracy need and the computational expenses. Numerical examples investigate the accuracy and convergence of this method. Its 3D simulation capability of complex rock masses is demonstrated by calculating the continuous-discontinuous deformation of El Capitan rock located in the Yosemite National Park with assumed complex fracture networks.

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Section: Image-based Deformation Simulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

3D simulation of complex fractures with a simple mesh

2022

Numerical Meth Engineering

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“…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%

Mesoscale damage modelling of concrete by using image-based scaled boundary finite element method

Zhang

Guo

Zhang

et al. 2021

International Journal of Damage Mechanics

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As a thin layer surrounding aggregates, the interfacial transition zone (ITZ) has a significant influence on the mechanical performance of concrete, a large number of small elements is required to discretize the ITZ and its vicinity owing to its small thickness. In this contribution, the mesostructure of concrete is explicitly built by a novel method named improved random walking algorithm (IRWA), with which the grading, content, shape of aggregates and the thickness of ITZs, can be conveniently controlled by users, and high volume fraction of aggregate and remarkable efficiency can be achieved. In the framework of the scaled boundary finite element method (SBFEM), the image-based quadtree decomposition is employed to automatically generate the multi-level mesh for the concrete composites, with no trouble in dealing with hanging nodes or the dramatically changing element size in the vicinity of the material interface. The nonlocal damage model in integral format is extended to simulate progressive damage of concrete at mesoscale with good mesh independence. Four benchmarks are modelled to demonstrate the performance of the proposed approach, and the effects of model parameters on the structural responses are also discussed.

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“…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%

Image‐based simulation of complex fracture networks by numerical manifold method

2021

Numerical Meth Engineering

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Complex geometric features of fracture networks contained in rock masses can be captured by digital images quickly and accurately. However, the continuous and discontinuous deformation simulation of rock masses directly based on digital images is still challenging. Based on the Numerical Manifold Method (NMM), a simple and efficient image-based simulation method is developed for rock masses containing complex fracture networks. A new crack model, named as "voxel crack model," is generated based on pixel values of the digital image and a user-defined resolution. With the voxel crack model, physical cover and manifold elements in NMM are then efficiently generated for complex fracture networks. After this, the continuous and discontinuous displacement fields of rock masses are simulated straightforwardly. In the present work, conventionally burdensome tasks, like boundary detections to transform digital images into computer aided design (CAD) models, generating conforming meshes, and explicitly tracking of fracture surfaces, are avoided. Several benchmarks validate the developed method. The calculated continuous and discontinuous deformation field of the San Leo rock slope containing a complex fracture network demonstrates the capability of the proposed method for practical engineering application. K E Y W O R D Scomplex fracture networks, continuous and discontinuous simulation, image-based simulation, numerical manifold method, rock mass engineering, voxel crack model 3100

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A novel scaled boundary finite element formulation with stabilization and its application to image‐based elastoplastic analysis

Cited by 26 publications

References 70 publications

3D simulation of complex fractures with a simple mesh

3D simulation of complex fractures with a simple mesh

Mesoscale damage modelling of concrete by using image-based scaled boundary finite element method

Image‐based simulation of complex fracture networks by numerical manifold method

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