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D-Index & Metrics

Mechanical and Aerospace Engineering

D-Index
50
Citations
16087
World Ranking
1143
National Ranking
460

Overview

N. Sukumar is affiliated with the University of California, Davis, located in the United States. Their primary field of study is Engineering, with a concentration across various related subfields including Computational Mechanics, Mechanics of Materials, Computational Theory and Mathematics, Numerical Analysis, and Atomic and Molecular Physics, and Optics.

The research topics covered by Sukumar's work span several areas within engineering and computational sciences. These include:

  • Numerical methods in engineering
  • Advanced Numerical Methods in Computational Mathematics
  • Advanced Numerical Analysis Techniques
  • Electromagnetic Simulation and Numerical Methods
  • Model Reduction and Neural Networks
  • Advanced Mathematical Modeling in Engineering
  • Contact Mechanics and Variational Inequalities

Among Sukumar's recent papers are the following publications:

  • Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks, 2021, arXiv (Cornell University)
  • Stabilization-free serendipity virtual element method for plane elasticity, 2022, Computer Methods in Applied Mechanics and Engineering
  • Extended virtual element method for two-dimensional linear elastic fracture, 2022, Institutional Research Information System University of Ferrara (University of Ferrara)
  • Scaled boundary cubature scheme for numerical integration over planar regions with affine and curved boundaries, 2021, Computer Methods in Applied Mechanics and Engineering
  • An efficient method to integrate polynomials over polytopes and curved solids, 2020, Computer Aided Geometric Design

Sukumar frequently publishes in several scientific venues. The most common of these are:

  • Computer Methods in Applied Mechanics and Engineering
  • International Journal for Numerical Methods in Engineering
  • arXiv (Cornell University)
  • Computer Aided Geometric Design
  • Institutional Research Information System University of Ferrara (University of Ferrara)

Their work often involves collaboration with multiple coauthors. Frequent collaborators include Alvin Chen, Gianmarco Manzini, Eric Chin, Jan Jaśkowiec, and Ankit Srivastava.

Best Publications

  • Extended finite element method for three-dimensional crack modelling

    Natarajan Sukumar;Nicolas Moës;Brian Moran;Ted Belytschko

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

    Natarajan Sukumar;David Chopp;Nicolas Moës;Ted Belytschko

  • Arbitrary branched and intersecting cracks with the eXtended Finite Element Method

    Christophe Daux;Nicolas Moës;John Dolbow;Natarajan Sukumar

  • THE NATURAL ELEMENT METHOD IN SOLID MECHANICS

    N. Sukumar;B. Moran;T. Belytschko

  • Modeling quasi-static crack growth with the extended finite element method Part I: Computer implementation

    N. Sukumar;J.-H. Prévost

  • Conforming polygonal finite elements

    N. Sukumar;A. Tabarraei

  • An Abaqus implementation of the extended finite element method

    E. Giner;N. Sukumar;J.E. Tarancón;F.J. Fuenmayor

  • Natural neighbour Galerkin methods

    N. Sukumar;B. Moran;A. Yu Semenov;V. V. Belikov

  • Extended finite element method and fast marching method for three-dimensional fatigue crack propagation

    N. Sukumar;D.L. Chopp;B. Moran

  • Structured extended finite element methods for solids defined by implicit surfaces

    Ted Belytschko;Chandu Parimi;Nicolas Moës;Natarajan Sukumar

  • Partition of unity enrichment for bimaterial interface cracks

    N. Sukumar;Z. Y. Huang;J.-H. Prévost;Z. Suo

  • Recent advances in the construction of polygonal finite element interpolants

    N. Sukumar;E. A. Malsch

  • Construction of polygonal interpolants: a maximum entropy approach

    N. Sukumar

  • Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks

    N. Sukumar;Ankit Srivastava

  • Abaqus implementation of extended finite element method using a level set representation for three-dimensional fatigue crack growth and life predictions

    Jianxu Shi;David Chopp;Jim Lua;N. Sukumar

  • MODELING QUASI-STATIC CRACK GROWTH WITH THE EXTENDED FINITE ELEMENT METHOD PART II: NUMERICAL APPLICATIONS

    Rui Huang;N. Sukumar;J. H. Prévost

  • Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons

    S. E. Mousavi;N. Sukumar

  • Irregular lattice model for quasistatic crack propagation

    J. E. Bolander;N. Sukumar

  • Generalized Gaussian quadrature rules on arbitrary polygons

    S. E. Mousavi;H. Xiao;N. Sukumar

  • Overview and recent advances in natural neighbour galerkin methods

    E. Cueto;N. Sukumar;B. Calvo;M. A. Martínez

  • Brittle fracture in polycrystalline microstructures with the extended finite element method

    N. Sukumar;N. Sukumar;D. J. Srolovitz;T. J. Baker;Jean-Herve Prevost

  • Fatigue crack propagation of multiple coplanar cracks with the coupled extended finite element/fast marching method

    D.L. Chopp;N. Sukumar

Frequent Co-Authors

Ted Belytschko
Ted Belytschko Northwestern University
Jean-Herve Prevost
Jean-Herve Prevost Princeton University
Brian Moran
Brian Moran King Abdullah University of Science and Technology
Nicolas Moës
Nicolas Moës École Centrale de Nantes
Paul Steinmann
Paul Steinmann University of Erlangen-Nuremberg
Sashi K. Kunnath
Sashi K. Kunnath University of California, Davis
Gianmarco Manzini
Gianmarco Manzini Los Alamos National Laboratory
Eitan Grinspun
Eitan Grinspun Columbia University
Maciej Kumosa
Maciej Kumosa University of Denver
John E. Dolbow
John E. Dolbow Duke University

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