D-Index & Metrics Best Publications

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 67 Citations 16,322 276 World Ranking 94 National Ranking 1

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Finite element method
  • Mathematical analysis

The scientist’s investigation covers issues in Finite element method, Extended finite element method, Isogeometric analysis, Structural engineering and Applied mathematics. He has included themes like Algorithm and Mathematical analysis in his Finite element method study. His Extended finite element method study integrates concerns from other disciplines, such as Smoothing, Discontinuity, Geometry, Fracture mechanics and Classification of discontinuities.

He combines subjects such as Computer Aided Design, Interpolation, Basis function, Boundary element method and Plate theory with his study of Isogeometric analysis. His studies in Structural engineering integrate themes in fields like Vibration and Numerical analysis. His biological study spans a wide range of topics, including Boundary knot method, Quadratic equation, Mathematical optimization, Meshfree methods and Calculus.

His most cited work include:

  • Review: Meshless methods: A review and computer implementation aspects (821 citations)
  • A simple and robust three-dimensional cracking-particle method without enrichment (449 citations)
  • Isogeometric analysis: an overview and computer implementation aspects (317 citations)

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

Stéphane Bordas mainly focuses on Finite element method, Applied mathematics, Extended finite element method, Mathematical analysis and Structural engineering. His Finite element method research includes themes of Algorithm and Numerical analysis. His work focuses on many connections between Applied mathematics and other disciplines, such as Estimator, that overlap with his field of interest in Superconvergence.

His Extended finite element method course of study focuses on Fracture mechanics and Mechanics. The various areas that Stéphane Bordas examines in his Mathematical analysis study include Stiffness matrix, Stress intensity factor and Boundary knot method. He has researched Structural engineering in several fields, including Vibration and Fracture.

He most often published in these fields:

  • Finite element method (47.20%)
  • Applied mathematics (37.67%)
  • Extended finite element method (32.98%)

What were the highlights of his more recent work (between 2018-2021)?

  • Finite element method (47.20%)
  • Applied mathematics (37.67%)
  • Mathematical analysis (29.95%)

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

His primary areas of investigation include Finite element method, Applied mathematics, Mathematical analysis, Mechanics and Isogeometric analysis. Stéphane Bordas is interested in Linear elasticity, which is a branch of Finite element method. His Applied mathematics study incorporates themes from Stochastic process, Basis function, Taylor series, Monte Carlo method and Extended finite element method.

His work carried out in the field of Extended finite element method brings together such families of science as Partition of unity, Classification of discontinuities and Stress intensity factor. His research investigates the link between Mathematical analysis and topics such as Shear stress that cross with problems in Shear and Plate theory. His research in Isogeometric analysis intersects with topics in Space, Scale, Boundary and Dimension.

Between 2018 and 2021, his most popular works were:

  • Phase-field modeling of fracture (68 citations)
  • Deep neural network with high-order neuron for the prediction of foamed concrete strength (48 citations)
  • Deep neural network with high-order neuron for the prediction of foamed concrete strength (48 citations)

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

  • Quantum mechanics
  • Finite element method
  • Statistics

Stéphane Bordas spends much of his time researching Finite element method, Discretization, Mathematical analysis, Applied mathematics and Extended finite element method. His Finite element method study focuses on Isogeometric analysis in particular. His research in the fields of Boundary value problem overlaps with other disciplines such as Acoustic impedance.

His research integrates issues of Partition of unity, Stochastic process, Fracture mechanics, Interpolation and Vector field in his study of Applied mathematics. Fracture is closely connected to Rank in his research, which is encompassed under the umbrella topic of Fracture mechanics. His Extended finite element method study combines topics from a wide range of disciplines, such as Paris' law, Cold-formed steel, Stress intensity factor, Cylinder stress and Numerical integration.

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

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

Isogeometric boundary element analysis using unstructured T-splines

M. A. Scott;Robert Napier Simpson;J. A. Evans;S. Lipton.
Computer Methods in Applied Mechanics and Engineering (2013)

383 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

On three-dimensional modelling of crack growth using partition of unity methods

Timon Rabczuk;Stéphane Bordas;Goangseup Zi.
Computers & Structures (2010)

327 Citations

An extended finite element library

Stéphane Bordas;Phu Vinh Nguyen;Cyrille F. Dunant;Amor Guidoum.
International Journal for Numerical Methods in Engineering (2007)

309 Citations

A two-dimensional Isogeometric Boundary Element Method for elastostatic analysis

Robert Napier Simpson;Stephane Pierre Alain Bordas;J. Trevelyan;T. Rabczuk.
Computer Methods in Applied Mechanics and Engineering (2012)

305 Citations

A smoothed finite element method for plate analysis

Hung Nguyen-Xuan;Timon Rabczuk;Stéphane Bordas;Jean-François Debongnie.
Computer Methods in Applied Mechanics and Engineering (2008)

300 Citations

A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics

T. Rabczuk;Stephane Pierre Alain Bordas;G. Zi.
Computational Mechanics (2007)

288 Citations

Editorial Boards

Computers and Structures
(Impact Factor: 5.372)

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