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Mathematics

D-Index
54
Citations
10070
World Ranking
848
National Ranking
40

Overview

Patrizio Neff is affiliated with the University of Duisburg-Essen in Germany and has a research focus primarily in the field of Engineering. Their work spans multiple specialized subfields including Mechanics of Materials, Biomedical Engineering, Materials Chemistry, Computational Theory and Mathematics, and Applied Mathematics.

The main topics addressed by Patrizio Neff's research include:

  • Elasticity and Material Modeling
  • Nonlocal and gradient elasticity in micro/nano structures
  • Numerical methods in engineering
  • Composite Material Mechanics
  • Thermoelastic and Magnetoelastic Phenomena
  • Advanced Mathematical Modeling in Engineering
  • Acoustic Wave Phenomena Research

Neff has authored numerous papers, with recent examples including:

  • "Unfolding engineering metamaterials design: Relaxed micromorphic modeling of large-scale acoustic meta-structures" (2022), published in the Journal of the Mechanics and Physics of Solids
  • "Size-effects of metamaterial beams subjected to pure bending: on boundary conditions and parameter identification in the relaxed micromorphic model" (2023), published in Computational Mechanics
  • "Nečas-Lions lemma revisited: An Lp-version of the generalized Korn inequality for incompatible tensor fields" (2021), published in Mathematical Methods in the Applied Sciences
  • "Frequency- and angle-dependent scattering of a finite-sized meta-structure via the relaxed micromorphic model" (2020), published in Archive of Applied Mechanics
  • "Analytical solutions of the simple shear problem for micromorphic models and other generalized continua" (2021), published in Archive of Applied Mechanics

The frequent coauthors collaborating with Neff include:

  • Ionel-Dumitrel Ghiba
  • Angela Madeo
  • Gianluca Rizzi
  • Peter Lewintan
  • Adam Sky

Neff's work is often disseminated through a number of key publication venues, such as:

  • arXiv (Cornell University)
  • Mathematics and Mechanics of Solids
  • PAMM
  • Computer Methods in Applied Mechanics and Engineering
  • Journal of Elasticity

Their contributions represent an intersection of theoretical and practical aspects of material mechanics, including the development and application of mathematical methods to study elasticity, composite materials, and acoustic wave phenomena. This research supports advancements in microstructured material design and computational modeling approaches relevant to engineering and applied sciences.

Best Publications

  • Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions

    Jörg Schröder;Patrizio Neff

  • Polyconvexity of generalized polynomial-type hyperelastic strain energy functions for near-incompressibility

    Stefan Hartmann;Patrizio Neff

  • A polyconvex framework for soft biological tissues. Adjustment to experimental data

    D. Balzani;P. Neff;J. Schröder;G.A. Holzapfel

  • A unifying perspective: the relaxed linear micromorphic continuum

    Patrizio Neff;Ionel-Dumitrel Ghiba;Angela Madeo;Luca Placidi

  • A variational approach for materially stable anisotropic hyperelasticity

    Jörg Schröder;Patrizio Neff;Daniel Balzani

  • Wave propagation in relaxed micromorphic continua: modeling metamaterials with frequency band-gaps

    Angela Madeo;Patrizio Neff;Ionel-Dumitrel Ghiba;Luca Placidi

  • A Geometrically Exact Micromorphic Model for Elastic Metallic Foams Accounting for Affine Microstructure. Modelling, Existence of Minimizers, Identification of Moduli and Computational Results

    Patrizio Neff;Samuel Forest

  • Wave propagation in relaxed micromorphic continua: modelling metamaterials with frequency band-gaps

    Angela Madeo;Patrizio Neff;Ionel-Dumitrel Ghiba;Luca Placidi

  • Polyconvex anisotropic hyperelasticity with neural networks

    Dominik K. Klein;Mauricio Fernández;Robert J. Martin;Patrizio Neff

  • A finite-strain elastic–plastic Cosserat theory for polycrystals with grain rotations

    Patrizio Neff

  • Existence of minimizers for a finite-strain micromorphic elastic solid

    Patrizio Neff

  • Existence, Uniqueness and Stability in Linear Cosserat Elasticity for Weakest Curvature Conditions

    Jena Jeong;Patrizio Neff

  • The Cosserat couple modulus for continuous solids is zero viz the linearized Cauchy-stress tensor is symmetric

    Patrizio Neff

  • The Exponentiated Hencky-Logarithmic Strain Energy. Part I: Constitutive Issues and Rank-One Convexity

    Patrizio Neff;Ionel-Dumitrel Ghiba;Ionel-Dumitrel Ghiba;Ionel-Dumitrel Ghiba;Johannes Lankeit

  • Optimal BV estimates for a discontinuous Galerkin method for linear elasticity

    Adrian Lew;Patrizio Neff;Deborah Sulsky;Michael Ortiz

  • Geometry of Logarithmic Strain Measures in Solid Mechanics

    Patrizio Neff;Bernhard Eidel;Robert J. Martin

  • A new paradigm: the linear isotropic Cosserat model with conformally invariant curvature energy.

    Patrizio Neff;Jena Jeong

  • On Korn's first inequality with non-constant coefficients

    Patrizio Neff

  • Anisotropic polyconvex energies on the basis of crystallographic motivated structural tensors

    J. Schröder;P. Neff;V. Ebbing

  • Curl bounds Grad on SO(3)

    Patrizio Neff;Ingo Münch

Frequent Co-Authors

Angela Madeo
Angela Madeo TU Dortmund University
Werner Wagner
Werner Wagner Karlsruhe Institute of Technology
Luca Placidi
Luca Placidi UniNettuno University
Elias C. Aifantis
Elias C. Aifantis Aristotle University of Thessaloniki
Samuel Forest
Samuel Forest Mines ParisTech
David Yang Gao
David Yang Gao Federation University Australia
Alexander Düster
Alexander Düster Hamburg University of Technology
Dietmar Gross
Dietmar Gross Technical University of Darmstadt
Dierk Raabe
Dierk Raabe Max Planck Institute for Iron Research

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