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国际多尺度计算工程期刊

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ISSN 打印: 1543-1649

ISSN 在线: 1940-4352

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A DAMAGE PARTICLE METHOD FOR SMEARED MODELING OF BRITTLE FRACTURE

卷 16, 册 4, 2018, pp. 303-324
DOI: 10.1615/IntJMultCompEng.2018026133
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摘要

Numerical procedures for brittle fracture modeling become tedious when many moving strong discontinuities have to be captured. A smeared fracture modeling approach formulated under the reproducing kernel particle discretization is presented. In this approach, the smeared strain is computed by the divergence operation with a boundary integral of displacements in each nodal representative domain, thus avoiding direct derivatives of displacements for strain computation in the smeared cracking region. To avoid discretization size sensitivity issues, a scaling law is introduced based on the equivalence between the bulk damage energy dissipation and the surface fracture energy of the associated crack segment over the nodal representative domain. This scaling law is introduced under the stabilized conforming nodal integration framework, where the nodal representative domain serves as the smearing domain, and the smeared strain over the nodal representative domain is used with the scaled damage law to determine the damage state. The employment of stabilized conforming nodal integration also allows the displacement and damage state variables to be calculated and stored for the same set of particles, avoiding interpolation of variables between nodal and Gaussian points in conventional finite elements. Several numerical examples are presented to examine the effectiveness of the proposed damage particle method for smeared modeling of fracture.

对本文的引用
  1. Huang Tsung-Hui, Wei Haoyan, Chen Jiun-Shyan, Hillman Michael C., RKPM2D: an open-source implementation of nodally integrated reproducing kernel particle method for solving partial differential equations, Computational Particle Mechanics, 7, 2, 2020. Crossref

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  3. Huang Tsung-Hui, Chen Jiun-Shyan, Wei Haoyan, Roth Michael J., Sherburn Jesse A., Bishop Joseph E., Tupek Michael R., Fang Eliot H., A MUSCL-SCNI approach for meshfree modeling of shock waves in fluids, Computational Particle Mechanics, 7, 2, 2020. Crossref

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  5. Yang Zhen, Yang Sheng-Qi, Chen Miao, Peridynamic simulation on fracture mechanical behavior of granite containing a single fissure after thermal cycling treatment, Computers and Geotechnics, 120, 2020. Crossref

  6. Taghipoor Siavash, Roostaei Morteza, Velayati Arian, Sharbatian Atena, Chan Dave, Nouri Alireza, Numerical investigation of the hydraulic fracturing mechanisms in oil sands, Underground Space, 6, 2, 2021. Crossref

  7. Vlassis Nikolaos N., Ma Ran, Sun WaiChing, Geometric deep learning for computational mechanics Part I: anisotropic hyperelasticity, Computer Methods in Applied Mechanics and Engineering, 371, 2020. Crossref

  8. Kaneko Shigeki, Wei Haoyan, He Qizhi, Chen Jiun-Shyan, Yoshimura Shinobu, A hyper-reduction computational method for accelerated modeling of thermal cycling-induced plastic deformations, Journal of the Mechanics and Physics of Solids, 151, 2021. Crossref

  9. Pasetto Marco, Baek Jonghyuk, Chen Jiun-Shyan, Wei Haoyan, Sherburn Jesse A., Roth Michael J., A Lagrangian/semi-Lagrangian coupling approach for accelerated meshfree modelling of extreme deformation problems, Computer Methods in Applied Mechanics and Engineering, 381, 2021. Crossref

  10. Gaur Piyush, Sharma Sanyam, Kumar Devendra, Chawla Anoop, Mukherjee Sudipto, Jain Mohit, Mayer Christian, Chitteti Ravi Kiran, Ghosh Pronoy, Malhotra Rajesh, Lalwani Sanjeev, Inverse material characterisation of human aortic tissue for traumatic injury in motor vehicle crashes, International Journal of Crashworthiness, 27, 2, 2022. Crossref

  11. Wei Haoyan, Chen Jiun-Shyan, Beckwith Frank, Baek Jonghyuk, A Naturally Stabilized Semi-Lagrangian Meshfree Formulation for Multiphase Porous Media with Application to Landslide Modeling, Journal of Engineering Mechanics, 146, 4, 2020. Crossref

  12. Morales R. Chavez, Baek J., Sharp D., Aderounmu A., Wei H., Chen J. S., Eliasson V., Mode-II Fracture Response of PMMA Under Dynamic Loading Conditions, Journal of Dynamic Behavior of Materials, 8, 1, 2022. Crossref

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  14. Baek Jonghyuk, Schlinkman Ryan T., Beckwith Frank N., Chen Jiun-Shyan, A deformation-dependent coupled Lagrangian/semi-Lagrangian meshfree hydromechanical formulation for landslide modeling, Advanced Modeling and Simulation in Engineering Sciences, 9, 1, 2022. Crossref

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