D-Index & Metrics Best Publications
Mechanical and Aerospace Engineering
USA
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 129 Citations 87,677 376 World Ranking 1 National Ranking 1

Research.com Recognitions

Awards & Achievements

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

2011 - Member of the National Academy of Sciences

2011 - William Prager Medal

2002 - IACM Congress Medal (Gauss-Newton Medal)

2001 - John von Neumann Medal, U.S. Association for Computational Mechanics (USACM) For his numerous seminal contributions in nonlinear computational mechanics, including explicit time integration methods widely used in crash analysis and metal forming simulations, and his latest contributions in meshless methods

2001 - Timoshenko Medal, The American Society of Mechanical Engineers

1999 - Theodore von Karman Medal

1998 - Fellow of the International Association for Computational Mechanics (IACM)

1997 - THE BELYTSCHKO MEDAL

1990 - Fellow of the American Association for the Advancement of Science (AAAS)

1982 - Fellow of the American Society of Mechanical Engineers

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Finite element method

Finite element method, Mathematical analysis, Extended finite element method, Geometry and Galerkin method are his primary areas of study. He has included themes like Discretization, Applied mathematics and Nonlinear system in his Finite element method study. His research integrates issues of Structural engineering and Fracture mechanics in his study of Mathematical analysis.

His biological study spans a wide range of topics, including Representation, Element and Mixed finite element method. His research in Geometry focuses on subjects like Quadrilateral, which are connected to Rigid body and Stiffness. His Galerkin method research includes themes of Partial differential equation, Boundary value problem, Meshfree methods, Domain and Discontinuous Galerkin method.

His most cited work include:

  • Element‐free Galerkin methods (4377 citations)
  • A finite element method for crack growth without remeshing (4217 citations)
  • Nonlinear Finite Elements for Continua and Structures (3109 citations)

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

Ted Belytschko spends much of his time researching Finite element method, Mathematical analysis, Extended finite element method, Structural engineering and Geometry. His Finite element method study combines topics in areas such as Mechanics, Applied mathematics and Nonlinear system. His Applied mathematics research incorporates elements of Discretization, Algorithm and Mathematical optimization.

His studies deal with areas such as Meshfree methods, Galerkin method and Discontinuous Galerkin method as well as Mathematical analysis. The study incorporates disciplines such as Element, Partition of unity, Classification of discontinuities and Dislocation in addition to Extended finite element method. His Structural engineering study combines topics in areas such as Cracking, Displacement and Fracture.

He most often published in these fields:

  • Finite element method (48.33%)
  • Mathematical analysis (29.00%)
  • Extended finite element method (20.83%)

What were the highlights of his more recent work (between 2003-2017)?

  • Extended finite element method (20.83%)
  • Finite element method (48.33%)
  • Mathematical analysis (29.00%)

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

His scientific interests lie mostly in Extended finite element method, Finite element method, Mathematical analysis, Structural engineering and Classification of discontinuities. His Extended finite element method research is multidisciplinary, incorporating elements of Mixed finite element method, Fracture mechanics, Stress intensity factor, Dislocation and Mechanics. Ted Belytschko has included themes like Discrete element method, Geometry and Classical mechanics in his Finite element method study.

The Mathematical analysis study combines topics in areas such as Quadrilateral and Meshfree methods. He combines subjects such as Cracking, Composite material, Fracture and Displacement with his study of Structural engineering. His Classification of discontinuities study combines topics from a wide range of disciplines, such as Discontinuity, Solid mechanics, Partition of unity, Applied mathematics and Algorithm.

Between 2003 and 2017, his most popular works were:

  • Cracking particles: A simplified meshfree method for arbitrary evolving cracks (872 citations)
  • The extended/generalized finite element method: An overview of the method and its applications (864 citations)
  • Achieving minimum length scale in topology optimization using nodal design variables and projection functions (746 citations)

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

  • Quantum mechanics
  • Mathematical analysis
  • Finite element method

His primary scientific interests are in Finite element method, Extended finite element method, Mathematical analysis, Structural engineering and Classification of discontinuities. His studies in Finite element method integrate themes in fields like Calculus, Classical mechanics and Paris' law. His study in Extended finite element method is interdisciplinary in nature, drawing from both Partition of unity, Geometry, Fracture mechanics, Applied mathematics and Dislocation.

His Mathematical analysis research integrates issues from Shell and Meshfree methods. His research in Structural engineering intersects with topics in Discrete element method, Cracking, Fracture, Impulse and Nonlinear system. His studies deal with areas such as Algorithm, Mechanics and Representation as well as Classification of discontinuities.

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

Element‐free Galerkin methods

T. Belytschko;Y. Y. Lu;L. Gu.
International Journal for Numerical Methods in Engineering (1994)

7056 Citations

A finite element method for crack growth without remeshing

Nicolas Moës;John Dolbow;Ted Belytschko.
International Journal for Numerical Methods in Engineering (1999)

6458 Citations

Nonlinear Finite Elements for Continua and Structures

Ted Belytschko;Wing Kam Liu;Brian Moran.
(2000)

5772 Citations

Elastic crack growth in finite elements with minimal remeshing

T. Belytschko;T. Black.
International Journal for Numerical Methods in Engineering (1999)

4678 Citations

Meshless methods: An overview and recent developments

T. Belytschko;Y. Krongauz;D. Organ;M. Fleming.
Computer Methods in Applied Mechanics and Engineering (1996)

4229 Citations

Extended finite element method for cohesive crack growth

Nicolas Moës;Ted Belytschko.
Engineering Fracture Mechanics (2002)

1442 Citations

Extended finite element method for three-dimensional crack modelling

Natarajan Sukumar;Nicolas Moës;Brian Moran;Ted Belytschko.
International Journal for Numerical Methods in Engineering (2000)

1315 Citations

Arbitrary discontinuities in finite elements

Ted Belytschko;Nicolas Moës;S. Usui;Chandu Parimi.
International Journal for Numerical Methods in Engineering (2001)

1312 Citations

MODELING HOLES AND INCLUSIONS BY LEVEL SETS IN THE EXTENDED FINITE-ELEMENT METHOD

Natarajan Sukumar;David Chopp;Nicolas Moës;Ted Belytschko.
Computer Methods in Applied Mechanics and Engineering (2001)

1297 Citations

A uniform strain hexahedron and quadrilateral with orthogonal hourglass control

D. P. Flanagan;T. Belytschko.
International Journal for Numerical Methods in Engineering (1981)

1168 Citations

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