H-Index & Metrics Best Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mechanical and Aerospace Engineering D-index 54 Citations 12,670 123 World Ranking 282 National Ranking 10

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Composite material

His primary areas of study are Mathematical analysis, Finite element method, Discretization, Homogenization and Numerical analysis. His research integrates issues of Plasticity, Tangent, Classical mechanics and Constitutive equation in his study of Mathematical analysis. His Finite element method research is multidisciplinary, incorporating elements of Fracture mechanics and Euler equations.

His Fracture mechanics study combines topics in areas such as Phase field models, Mechanics and Classification of discontinuities. His studies deal with areas such as Geometry, Boundary value problem and Nonlinear system as well as Discretization. As part of the same scientific family, he usually focuses on Homogenization, concentrating on Elasticity and intersecting with Dissipation and Isotropy.

His most cited work include:

  • Thermodynamically consistent phase‐field models of fracture: Variational principles and multi‐field FE implementations (911 citations)
  • A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits (893 citations)
  • Computational homogenization analysis in finite plasticity Simulation of texture development in polycrystalline materials (484 citations)

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

Christian Miehe spends much of his time researching Finite element method, Mathematical analysis, Mechanics, Plasticity and Classical mechanics. His Finite element method research is multidisciplinary, incorporating perspectives in Geometry, Boundary value problem, Fracture mechanics, Applied mathematics and Discretization. His research integrates issues of Isotropy, Tangent, Constitutive equation and Nonlinear system in his study of Mathematical analysis.

His Mechanics study also includes fields such as

  • Structural engineering, which have a strong connection to Classification of discontinuities,
  • Field which is related to area like Condensed matter physics. His research investigates the link between Plasticity and topics such as Statistical physics that cross with problems in Homogenization and Computation. His work deals with themes such as Euler equations, Finite strain theory and Dissipative system, which intersect with Classical mechanics.

He most often published in these fields:

  • Finite element method (37.70%)
  • Mathematical analysis (27.46%)
  • Mechanics (24.59%)

What were the highlights of his more recent work (between 2012-2019)?

  • Finite element method (37.70%)
  • Mechanics (24.59%)
  • Plasticity (22.13%)

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

Christian Miehe mainly investigates Finite element method, Mechanics, Plasticity, Structural engineering and Field. His Finite element method research incorporates elements of Mathematical analysis, Boundary value problem, Saddle point, Classical mechanics and Dissipative system. Many of his research projects under Mathematical analysis are closely connected to Context with Context, tying the diverse disciplines of science together.

Christian Miehe combines subjects such as Phase field models, Fracture mechanics, Finite strain theory, Discretization and Classification of discontinuities with his study of Mechanics. His Plasticity study combines topics from a wide range of disciplines, such as Mathematical optimization, Hardening, von Mises yield criterion and Regularization. His study in the fields of Dynamic loading under the domain of Structural engineering overlaps with other disciplines such as Balance equation.

Between 2012 and 2019, his most popular works were:

  • Phase field modeling of fracture in multi-physics problems. Part I. Balance of crack surface and failure criteria for brittle crack propagation in thermo-elastic solids (216 citations)
  • Phase Field Modeling of Fracture in Multi-Physics Problems. Part II. Coupled Brittle-to-Ductile Failure Criteria and Crack Propagation in Thermo-Elastic-Plastic Solids (211 citations)
  • Phase field modeling of fracture in multi-physics problems. Part III. Crack driving forces in hydro-poro-elasticity and hydraulic fracturing of fluid-saturated porous media (155 citations)

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

  • Quantum mechanics
  • Mathematical analysis
  • Composite material

His main research concerns Finite element method, Mechanics, Plasticity, Fracture mechanics and Structural engineering. His Finite element method study incorporates themes from Mathematical analysis, Boundary value problem, Saddle point, Classical mechanics and Dissipative system. He is involved in the study of Mathematical analysis that focuses on Legendre transformation in particular.

His studies in Mechanics integrate themes in fields like Displacement field, State variable, Finite strain theory and Classification of discontinuities. His Plasticity study integrates concerns from other disciplines, such as Hardening, Statistical physics and Regularization. His Fracture mechanics research includes themes of Brittleness, Variational principle and Phase field models.

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

A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits

Christian Miehe;Martina Hofacker;Fabian Welschinger.
Computer Methods in Applied Mechanics and Engineering (2010)

1200 Citations

Thermodynamically consistent phase‐field models of fracture: Variational principles and multi‐field FE implementations

C. Miehe;F. Welschinger;M. Hofacker.
International Journal for Numerical Methods in Engineering (2010)

1192 Citations

Computational homogenization analysis in finite plasticity Simulation of texture development in polycrystalline materials

Christian Miehe;Jörg Schröder;Jan Schotte.
Computer Methods in Applied Mechanics and Engineering (1999)

684 Citations

Computational micro-to-macro transitions of discretized microstructures undergoing small strains

C. Miehe;A. Koch.
Archive of Applied Mechanics (2002)

539 Citations

A micro-macro approach to rubber-like materials—Part I: the non-affine micro-sphere model of rubber elasticity

C Miehe;Serdar Göktepe;F. Lulei.
Journal of The Mechanics and Physics of Solids (2004)

478 Citations

Superimposed finite elastic–viscoelastic–plastoelastic stress response with damage in filled rubbery polymers. Experiments, modelling and algorithmic implementation

Christian Miehe;Joachim Keck.
Journal of The Mechanics and Physics of Solids (2000)

413 Citations

Strain‐driven homogenization of inelastic microstructures and composites based on an incremental variational formulation

Christian Miehe.
International Journal for Numerical Methods in Engineering (2002)

361 Citations

Discontinuous and continuous damage evolution in Ogden-type large-strain elastic materials

C Miehe.
European Journal of Mechanics A-solids (1995)

316 Citations

Numerical computation of algorithmic (consistent) tangent moduli in large-strain computational inelasticity

Christian Miehe.
Computer Methods in Applied Mechanics and Engineering (1996)

311 Citations

Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals

C. Miehe;J. Schotte;M. Lambrecht.
Journal of The Mechanics and Physics of Solids (2002)

299 Citations

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