Image-based mesh generation of tubular geometries under circular motion in refractive environments

Kudela, László; Frischmann, Felix; Yossef, Ofry; Kollmannsberger, Stefan; Yosibash, Zohar; Rank, Ernst

doi:10.1007/s00138-018-0921-3

Cited by 5 publications

(2 citation statements)

References 19 publications

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“…To assess the quality of the computed crack surface, image-based 3D representations of the fractured specimens are created. Based on a sequence of images recorded along a circular path a modified bundle adjustment algorithm (Triggs et al [1999], Kudela et al [2018]) is used to generate a 3D point cloud of the specimen. Using a suitable metric the distances between the obtained reference point set and the 3D surface model from the simulation can be evaluated and compared.…”

Section: Fracture Surfacementioning

confidence: 99%

A 3D benchmark problem for crack propagation in brittle fracture

Hug

Kollmannsberger

Yosibash

et al. 2020

Computer Methods in Applied Mechanics and Engineering

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We propose a full 3D benchmark problem for brittle fracture based on experiments as well as a validation in the context of phase-field models. The example consists of a series of four-point bending tests on graphite specimens with sharp V-notches at different inclination angles. This simple setup leads to a mixed mode (I + II + III) loading which results in complex yet stably reproducible crack surfaces. The proposed problem is well suited for benchmarking numerical methods for brittle fracture and allows for a quantitative comparison of failure loads and propagation paths as well as initiation angles and the fracture surface. For evaluation of the crack surfaces image-based 3D models of the fractured specimen are provided along with experimental and numerical results. In addition, measured failure loads and computed load-displacement curves are given. To demonstrate the applicability of the benchmark problem, we show that for a phase-field model based on the Finite Cell Method and multi-level hp-refinement the complex crack surface as well as the failure loads can be well reproduced.

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Section: Fracture Surfacementioning

confidence: 99%

A 3D benchmark problem for crack propagation in brittle fracture

Hug

Kollmannsberger

Yosibash

et al. 2020

Computer Methods in Applied Mechanics and Engineering

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“…Numerous applications implement the steps above -see e.g. [4][5][6][7][8] for examples in the preservation of historical structures, or [9] for an application in the context of biomechanical experiments.…”

Section: Finite Element Analysismentioning

confidence: 99%

Direct structural analysis of domains defined by point clouds

Kudela

Kollmannsberger

Almaç

et al. 2020

Computer Methods in Applied Mechanics and Engineering

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This contribution presents a method that aims at the numerical analysis of solids represented by oriented point clouds. The proposed approach is based on the Finite Cell Method, a highorder immersed boundary technique that computes on a regular background grid of finite elements and requires only inside-outside information from the geometric model. It is shown that oriented point clouds provide sufficient information for these point-membership classifications. Further, we address a tessellation-free formulation of contour integrals that allows to apply Neumann boundary conditions on point clouds without having to recover the underlying surface. Two-dimensional linear elastic benchmark examples demonstrate that the method is able to provide the same accuracy as those computed with conventional, continuous surface descriptions, because the associated error can be controlled by the density of the cloud. Three-dimensional examples computed on point clouds of historical structures show how the method can be employed to establish seamless connections between digital shape measurement techniques and numerical analyses.

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