T
Timon Rabczuk
Researcher at Bauhaus University, Weimar
Publications - 798
Citations - 47427
Timon Rabczuk is an academic researcher from Bauhaus University, Weimar. The author has contributed to research in topics: Finite element method & Isogeometric analysis. The author has an hindex of 99, co-authored 727 publications receiving 35893 citations. Previous affiliations of Timon Rabczuk include Tongji University & Ton Duc Thang University.
Papers
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Cracking particles: A simplified meshfree method for arbitrary evolving cracks
Timon Rabczuk,Ted Belytschko +1 more
TL;DR: A new approach for modelling discrete cracks in meshfree methods is described, in which the crack can be arbitrarily oriented, but its growth is represented discretely by activation of crack surfaces at individual particles, so no representation of the crack's topology is needed.
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Review: Meshless methods: A review and computer implementation aspects
TL;DR: This manuscript is to give a practical overview of meshless methods (for solid mechanics) based on global weak forms through a simple and well-structured MATLAB code, to illustrate the discourse.
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A three dimensional large deformation meshfree method for arbitrary evolving cracks
Timon Rabczuk,Ted Belytschko +1 more
TL;DR: In this paper, a new approach for modeling discrete cracks in mesh-free particle methods in 3D is described, where cracks can be arbitrarily oriented, but their growth is represented by activation of crack surfaces at individual particles, so no representation of the crack's topology is needed.
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A simple and robust three-dimensional cracking-particle method without enrichment
TL;DR: In this paper, a new robust and efficient approach for modeling discrete cracks in mesh-free methods is described, where the crack is modeled by splitting particles located on opposite sides of the associated crack segments and make use of the visibility method in order to describe the crack kinematics.
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An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications
Esteban Samaniego,Cosmin Anitescu,Somdatta Goswami,Vien Minh Nguyen-Thanh,Hongwei Guo,Khader M. Hamdia,Xiaoying Zhuang,Timon Rabczuk +7 more
TL;DR: This contribution focuses in mechanical problems and analyze the energetic format of the PDE, where the energy of a mechanical system seems to be the natural loss function for a machine learning method to approach a mechanical problem.