D-Index & Metrics Best Publications
Mechanical and Aerospace Engineering
Germany
2022

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mechanical and Aerospace Engineering D-index 92 Citations 26,532 353 World Ranking 18 National Ranking 1

Research.com Recognitions

Awards & Achievements

2022 - Research.com Mechanical and Aerospace Engineering in Germany Leader Award

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Composite material
  • Mathematical analysis

Timon Rabczuk mainly focuses on Mathematical analysis, Fracture mechanics, Structural engineering, Finite element method and Extended finite element method. The study incorporates disciplines such as Geometry, Shell, Finite strain theory and Meshfree methods in addition to Mathematical analysis. His Fracture mechanics research is multidisciplinary, incorporating elements of Multiscale modeling, Mechanics, Regularization and Local mesh refinement.

His Structural engineering research integrates issues from Vibration and Imaging phantom. His Finite element method research includes themes of Smoothing, Algorithm and Applied mathematics. His Extended finite element method research is multidisciplinary, incorporating perspectives in Quadrilateral, Mixed finite element method, Piezoelectricity, Fracture and Discretization.

His most cited work include:

  • Cracking particles: A simplified meshfree method for arbitrary evolving cracks (872 citations)
  • Review: Meshless methods: A review and computer implementation aspects (821 citations)
  • A three dimensional large deformation meshfree method for arbitrary evolving cracks (663 citations)

What are the main themes of his work throughout his whole career to date?

His main research concerns Finite element method, Mathematical analysis, Composite material, Structural engineering and Applied mathematics. The Finite element method study combines topics in areas such as Discretization, Algorithm and Smoothing. His work carried out in the field of Mathematical analysis brings together such families of science as Geometry, Isogeometric analysis, Shell and Partition of unity.

Timon Rabczuk has included themes like Graphene and Molecular dynamics in his Composite material study. Particularly relevant to Fracture mechanics is his body of work in Structural engineering. His Applied mathematics research incorporates themes from Mathematical optimization and Nonlinear system.

He most often published in these fields:

  • Finite element method (19.79%)
  • Mathematical analysis (18.12%)
  • Composite material (18.83%)

What were the highlights of his more recent work (between 2019-2021)?

  • Finite element method (19.79%)
  • Applied mathematics (14.06%)
  • Boundary value problem (6.08%)

In recent papers he was focusing on the following fields of study:

Timon Rabczuk mostly deals with Finite element method, Applied mathematics, Boundary value problem, Composite material and Isogeometric analysis. His Finite element method study incorporates themes from Flexural strength, Uniaxial tension and Multiscale modeling. In his study, Buckling is strongly linked to Artificial neural network, which falls under the umbrella field of Applied mathematics.

His research on Composite material often connects related areas such as Vibration. His Isogeometric analysis research incorporates themes from Discretization, Mathematical analysis, Flexoelectricity, Topology optimization and Nonlinear system. Timon Rabczuk has researched Nonlinear system in several fields, including Structural engineering and Mechanics.

Between 2019 and 2021, his most popular works were:

  • An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications (129 citations)
  • Three-dimensional mesoscale computational modeling of soil-rock mixtures with concave particles (63 citations)
  • Transfer learning enhanced physics informed neural network for phase-field modeling of fracture (44 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Composite material
  • Artificial intelligence

His primary areas of investigation include Boundary value problem, Finite element method, Applied mathematics, Density functional theory and Machine learning. His Boundary value problem study combines topics in areas such as Vibration, Partial differential equation, Material properties, Numerical integration and Mechanics. Timon Rabczuk combines subjects such as Acoustics, Ultimate tensile strength, Plasticity, Benchmark and Discretization with his study of Finite element method.

Timon Rabczuk has included themes like Energy functional, System of linear equations, Variational principle, Isogeometric analysis and Partial derivative in his Applied mathematics study. His work carried out in the field of Density functional theory brings together such families of science as Phonon, Thermal, Graphene and Molecular dynamics. His research integrates issues of Mathematical analysis and Timoshenko beam theory in his study of Composite material.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Review: Meshless methods: A review and computer implementation aspects

Vinh Phu Nguyen;Timon Rabczuk;Stéphane Bordas;Marc Duflot.
Mathematics and Computers in Simulation (2008)

1222 Citations

Meshless methods: review and key computer implementation aspects

V.P. Nguyen;T. Rabczuk;S. Bordas;M. Duflot.
Mathematics and Computers in Simulation (2008)

918 Citations

Cracking particles: A simplified meshfree method for arbitrary evolving cracks

T. Rabczuk;T. Belytschko.
International Journal for Numerical Methods in Engineering (2004)

911 Citations

A three dimensional large deformation meshfree method for arbitrary evolving cracks

T. Rabczuk;T. Belytschko.
Computer Methods in Applied Mechanics and Engineering (2007)

688 Citations

A simple and robust three-dimensional cracking-particle method without enrichment

Timon Rabczuk;Goangseup Zi;Stephane Bordas;Hung Nguyen-Xuan.
Computer Methods in Applied Mechanics and Engineering (2010)

458 Citations

Stable particle methods based on Lagrangian kernels

Timon Rabczuk;T. Belytschko;S. P. Xiao.
Computer Methods in Applied Mechanics and Engineering (2004)

427 Citations

A meshfree thin shell method for non‐linear dynamic fracture

T. Rabczuk;P. M. A. Areias;T. Belytschko.
International Journal for Numerical Methods in Engineering (2007)

400 Citations

Isogeometric analysis: An overview and computer implementation aspects

Vinh Phu Nguyen;Cosmin Anitescu;Stephane Pierre Alain Bordas;Timon Rabczuk.
Mathematics and Computers in Simulation (2015)

363 Citations

Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree method without asymptotic enrichment

Stephane Pierre Alain Bordas;T. Rabczuk;G. Zi.
Engineering Fracture Mechanics (2008)

354 Citations

Rotation free isogeometric thin shell analysis using PHT-splines

N. Nguyen-Thanh;J. Kiendl;H. Nguyen-Xuan;R. Wüchner.
Computer Methods in Applied Mechanics and Engineering (2011)

342 Citations

Editorial Boards

Computational Materials Science
(Impact Factor: 3.572)

Computers, Materials and Continua
(Impact Factor: 3.86)

Finite Elements in Analysis and Design
(Impact Factor: 2.618)

Composite Structures
(Impact Factor: 6.603)

Computers and Structures
(Impact Factor: 5.372)

International Journal of Impact Engineering
(Impact Factor: 4.592)

Theoretical and Applied Fracture Mechanics
(Impact Factor: 4.374)

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