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We present a new physics informed neural network (PINN) algorithm for solving brittle fracture problems.
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A Direct Energy Balance Approach for Determining Energy Release Rates in Three and Four Point Bend End Notched Flexure Tests
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Hybrid discrete element/finite element method for fracture analysis
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Polynomial splines over hierarchical T-meshes
Jiansong Deng, Falai Chen, Xin Li, Changqi Hu, Weihua Tong, Zhouwang Yang, and Yuyu Feng · 2008
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Isogeometric analysis: toward integration of CAD and FEA
J Austin Cottrell, Thomas JR Hughes, and Yuri Bazilevs · 2009
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Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
C. Miehe, F. Welschinger, and M. Hofacker · 2010
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A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits
Christian Miehe, Martina Hofacker, and Fabian Welschinger · 2010
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Xavier Glorot and Yoshua Bengio · 2010
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Michael J. Borden, Clemens V. Verhoosel, Michael A. Scott, Thomas J.R. Hughes, and Chad M. Landis · 2012
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The NURBS book
Les Piegl and Wayne Tiller · 2012
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A higher-order phase-field model for brittle fracture: Formulation and analysis within the isogeometric analysis framework
Michael J. Borden, Thomas J.R. Hughes, Chad M. Landis, and Clemens V. Verhoosel · 2014
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Phase-field models for brittle and cohesive fracture
Maziar Raissi, Paris Perdikaris, and George E. Karniadakis · 2017
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2d and 3d abaqus implementation of a robust staggered phase-field solution for modeling brittle fracture
Gergely Molnár and Anthony Gravouil · 2017
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Deep hidden physics models: Deep learning of nonlinear partial differential equations
Maziar Raissi · 2018
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Maziar Raissi, Alireza Yazdani, and George Em Karniadakis · 2018
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The deep ritz method: A deep learning-based numerical algorithm for solving variational problems
E. Weinan and Yu Bing · 2018
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