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 33 Citations 4,994 118 World Ranking 910 National Ranking 33

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Finite element method
  • Geometry

His main research concerns Finite element method, Mathematical analysis, Classical mechanics, Numerical analysis and Geometry. Erwin Stein combines subjects such as Applied mathematics and Strain hardening exponent with his study of Finite element method. In his study, which falls under the umbrella issue of Applied mathematics, Linear system, Inverse problem and Monotonic function is strongly linked to Mathematical optimization.

His Mathematical analysis study integrates concerns from other disciplines, such as Euler angles and Plasticity. His work carried out in the field of Classical mechanics brings together such families of science as Structural mechanics, Simple, Heat transfer, Constant coefficients and Stiffness. Erwin Stein studied Numerical analysis and Tensor that intersect with Shell.

His most cited work include:

  • Encyclopedia of computational mechanics (626 citations)
  • FINITE ELEMENT FORMULATION OF LARGE DEFORMATION IMPACT-CONTACT PROBLEMS WITH FRICTION (339 citations)
  • A 4-node finite shell element for the implementation of general hyperelastic 3D-elasticity at finite strains (195 citations)

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

His scientific interests lie mostly in Finite element method, Mathematical analysis, Applied mathematics, Numerical analysis and Geometry. Erwin Stein works on Finite element method which deals in particular with Mixed finite element method. The study incorporates disciplines such as Stress resultants, Plane stress, Hyperelastic material and Virtual work in addition to Mathematical analysis.

His research in Applied mathematics intersects with topics in Multigrid method, Mathematical optimization, Residual and Calculus. The Numerical analysis study combines topics in areas such as Galerkin method, Plasticity, Constitutive equation, Algorithm and Newton's method. His Geometry research includes elements of Computation and Shape-memory alloy.

He most often published in these fields:

  • Finite element method (56.25%)
  • Mathematical analysis (27.84%)
  • Applied mathematics (22.16%)

What were the highlights of his more recent work (between 2005-2018)?

  • Finite element method (56.25%)
  • Mathematical analysis (27.84%)
  • Applied mathematics (22.16%)

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

His primary scientific interests are in Finite element method, Mathematical analysis, Applied mathematics, Extended finite element method and Residual. His Finite element method research incorporates elements of Discretization, Elasticity, Geometry and Shape-memory alloy. He has included themes like Transformation and Hyperelastic material in his Mathematical analysis study.

His Applied mathematics research is multidisciplinary, relying on both Inequality, Mathematical optimization, Constitutive equation and Ansatz. While the research belongs to areas of Extended finite element method, Erwin Stein spends his time largely on the problem of Mixed finite element method, intersecting his research to questions surrounding Development and Numerical stability. His Residual research is multidisciplinary, incorporating perspectives in Type and Fracture mechanics.

Between 2005 and 2018, his most popular works were:

  • Finite Element Methods for Elasticity with Error‐controlled Discretization and Model Adaptivity (41 citations)
  • Goal-oriented a posteriori error estimates in linear elastic fracture mechanics (40 citations)
  • Error-controlled adaptive goal-oriented modeling and finite element approximations in elasticity (34 citations)

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

  • Mathematical analysis
  • Finite element method
  • Geometry

His scientific interests lie mostly in Finite element method, Mathematical analysis, Extended finite element method, Residual and Applied mathematics. Particularly relevant to Finite strain theory is his body of work in Finite element method. His Mathematical analysis study incorporates themes from Transformation, Geometry and Shape-memory alloy.

His study explores the link between Geometry and topics such as Hyperelastic material that cross with problems in hp-FEM, Cauchy stress tensor and Tangent. As part of one scientific family, he deals mainly with the area of Residual, narrowing it down to issues related to the Fracture mechanics, and often Interpolation operator and Quadrilateral. Erwin Stein interconnects Development, Numerical stability and Mathematical optimization in the investigation of issues within Applied mathematics.

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

Encyclopedia of computational mechanics

Erwin Stein;de R. Borst;Thomas J.R. Hughes.
(2004)

626 Citations

FINITE ELEMENT FORMULATION OF LARGE DEFORMATION IMPACT-CONTACT PROBLEMS WITH FRICTION

P. Wriggers;T. Vu Van;E. Stein.
Computers & Structures (1990)

508 Citations

A 4-node finite shell element for the implementation of general hyperelastic 3D-elasticity at finite strains

P. Betsch;Friedrich Gruttmann;E. Stein.
Computer Methods in Applied Mechanics and Engineering (1996)

282 Citations

A unified approach for parameter identification of inelastic material models in the frame of the finite element method

Rolf Mahnken;Erwin Stein.
Computer Methods in Applied Mechanics and Engineering (1996)

241 Citations

An assumed strain approach avoiding artificial thickness straining for a non‐linear 4‐node shell element

P. Betsch;E. Stein.
Communications in Numerical Methods in Engineering (1995)

232 Citations

Parameter identification for viscoplastic models based on analytical derivatives of a least-squares functional and stability investigations

Rolf Mahnken;Erwin Stein.
International Journal of Plasticity (1996)

206 Citations

Error-controlled Adaptive Finite Elements in Solid Mechanics

E. Stein;E. Ramm.
(2001)

184 Citations

Shakedown with nonlinear strain-hardening including structural computation using finite element method

Erwin Stein;Genbao Zhang;Jan A. König.
International Journal of Plasticity (1992)

178 Citations

On the parametrization of finite rotations in computational mechanics: A classification of concepts with application to smooth shells

P. Betsch;A. Menzel;E. Stein.
Computer Methods in Applied Mechanics and Engineering (1998)

170 Citations

Real contact mechanisms and finite element formulation - A coupled thermomechanical approach

Giorgio Zavarise;P. Wriggers;E. Stein;B. A. Schrefler.
International Journal for Numerical Methods in Engineering (1992)

136 Citations

Best Scientists Citing Erwin Stein

Peter Wriggers

Peter Wriggers

University of Hannover

Publications: 72

Paul Steinmann

Paul Steinmann

University of Erlangen-Nuremberg

Publications: 46

Andreas Menzel

Andreas Menzel

TU Dortmund University

Publications: 45

Valery I. Levitas

Valery I. Levitas

Iowa State University

Publications: 38

Ernst Rank

Ernst Rank

Technical University of Munich

Publications: 33

Gabriel N. Gatica

Gabriel N. Gatica

University of Concepción

Publications: 29

Christian Miehe

Christian Miehe

University of Stuttgart

Publications: 28

Wolfgang A. Wall

Wolfgang A. Wall

Technical University of Munich

Publications: 28

Stefanie Reese

Stefanie Reese

RWTH Aachen University

Publications: 28

Giorgio Zavarise

Giorgio Zavarise

University of Salento

Publications: 27

Alexander Düster

Alexander Düster

Hamburg University of Technology

Publications: 27

Werner Wagner

Werner Wagner

Karlsruhe Institute of Technology

Publications: 25

Pedro M. A. Areias

Pedro M. A. Areias

Instituto Superior Técnico

Publications: 25

Ekkehard Ramm

Ekkehard Ramm

University of Stuttgart

Publications: 20

Adnan Ibrahimbegovic

Adnan Ibrahimbegovic

University of Technology of Compiègne

Publications: 20

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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