Simulation of three-dimensional cracks

Hirota, Koichi; Tanoue, Yasuyuki; Kaneko, T.

doi:10.1007/s003710000069

Cited by 41 publications

(29 citation statements)

References 6 publications

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“…This simplification gives the user control over the resulting crack patterns and decreases costs of the initial stress computation. Lastly, instead of moving the nodes during the simulation, such as in [27,13,8,19], our method keeps the nodes stationary and updates the stress field with a first-order quasi-static system.…”

Section: Stress Forces and The Separation Tensormentioning

confidence: 99%

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Generating surface crack patterns

Iben

O’Brien

2009

Graphical Models

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a b s t r a c tWe present a method for generating surface crack patterns that appear in materials such as mud, ceramic glaze, and glass. To model these phenomena, we build upon existing physically based methods. Our algorithm generates cracks from a stress field defined heuristically over a triangle discretization of the surface. The simulation produces cracks by evolving this field over time. The user can control the characteristics and appearance of the cracks using a set of simple parameters. By changing these parameters, we have generated examples similar to a variety of crack patterns found in the real world. We assess the realism of our results by comparison with photographs of real-world examples. Using a physically based approach also enables us to generate animations similar to time-lapse photography.

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Section: Stress Forces and The Separation Tensormentioning

confidence: 99%

“…A mass-spring system was used to reproduce crack patterns in microsphere monolayers [32], and to model tree bark [6], cracks in surfaces [12], and in volumes [13]. Gobron and Chiba used cellular automata to crack multi-layer surfaces [10] and simulate materials peeling off of surfaces [11].…”

Section: Introductionmentioning

confidence: 99%

Generating surface crack patterns

Iben

O’Brien

2009

Graphical Models

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“…There is a wide range of methods available for the deformation step, such as mass-spring networks [Norton et al 1991;Hirota et al 1998;Hirota et al 2000;Smith et al 2001;Levine et al 2014], finite element methods (FEM) [O'Brien and Hodgins 1999;Müller et al 2001;O'Brien et al 2002;Bao et al 2007;Wicke et al 2010;Zheng and James 2010;Koschier et al 2014] and extended FEM (X-FEM) Gravouil et al 2002;Abdelaziz and Hamouine 2008;Kaufmann et al 2009;Mousavi et al 2011], mesh-less or particle-based methods [Pauly et al 2005] such as the material point method (MPM) [Stomakhin et al 2013;Stomakhin et al 2014], and boundary element methods (BEM) [Aliabadi 1997;James and Pai 1999;Wilde and Aliabadi 1999;Frangi et al 2002;Sutradhar et al 2008;Kielhorn 2009;Messner and Schanz 2010;Sauter and Schwab 2011;Keeler and Bridson 2014].…”

Section: Deformationmentioning

confidence: 99%

High-resolution brittle fracture simulation with boundary elements

Hahn

Wojtan

2015

ACM Trans. Graph.

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We present a method for simulating brittle fracture under the assumptions of quasi-static linear elastic fracture mechanics (LEFM).Using the boundary element method (BEM) and Lagrangian crackfronts, we produce highly detailed fracture surfaces. The computational cost of the BEM is alleviated by using a low-resolution mesh and interpolating the resulting stress intensity factors when propagating the high-resolution crack-front.Our system produces physics-based fracture surfaces with high spatial and temporal resolution, taking spatial variation of material toughness and/or strength into account. It also allows for crack initiation to be handled separately from crack propagation, which is not only more reasonable from a physics perspective, but can also be used to control the simulation.Separating the resolution of the crack-front from the resolution of the computational mesh increases the efficiency and therefore the amount of visual detail on the resulting fracture surfaces. The BEM also allows us to re-use previously computed blocks of the system matrix.

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“…However, it is difficult to deal with changes to the material properties of the object or the environment. The second method performs simulations that take into consideration physical reasons that cause cracking to occur and reproduce cracking based on those results [6][7][8][9][10]. Although the computational costs are greater for this approach, cracking under various conditions can be reproduced relatively easily by changing physical parameters.…”

Section: Introductionmentioning

confidence: 98%

Representation method for cracks on drying 3D solid by physical model

Aoki

Dong

Kaneko

2007

Electron Comm Jpn Pt III

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SUMMARYConstructing a method for representing natural objects and natural phenomena is one of the important topics of research in the field of computer graphics. In the current research, the authors propose a method of realistically representing cracks that occur in 3D objects in computer graphics. Cracking is a familiar natural phenomenon that is seen on mud walls, the surface of rice fields, ceramics, and the bark of trees. The objective of the current research is to reproduce the cracking that occurs when an object that consists of mud or clay shrinks when it dries out. To represent cracking in computer graphics, rules based on observation or approaches based on simple physical models have been considered. However, the current research uses a method based on a physical model since changes in the material properties, environment, or external forces can easily be represented. Specifically, by introducing a spring network model to represent the shrinking, elasticity, and pliability of the clay and a moisture content model to represent the moisture movement within the object due to drying and integrating these two models, the authors simulate a mechanism for generating cracks due to drying. They also investigate a method of measuring the physical parameters that are used based on the moisture content. Finally, they performed experiments for 3D objects having various shapes to verify the effectiveness of the proposed method.

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Simulation of three-dimensional cracks

Cited by 41 publications

References 6 publications

Generating surface crack patterns

Generating surface crack patterns

High-resolution brittle fracture simulation with boundary elements

Representation method for cracks on drying 3D solid by physical model

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