Manuel Friedrich
[friedrich1]
Associate Professor, FAU Erlangen-Nürnberg
Email: manuel.friedrich AT fau.de
Home-page: https://www.math.fau.de/angewandte-mathematik-1/mitarbeiter/prof-dr-manuel-friedrich/
Available papers (32):
[plain text]- S. Almi - M. Caponi - M. Friedrich - F. Solombrino (Submitted Paper)
A fractional approach to strain-gradient plasticity: beyond core-radius of discrete dislocations (2024) - M. Bresciani - M. Friedrich (preprint)
Quasistatic growth of cavities and cracks in the plane (2024) - M. Friedrich - J. Seutter (Submitted Paper)
Atomistic-to-continuum convergence for quasi-static crack growth in brittle materials (2024) - M. Bresciani - M. Friedrich - C. Mora-Corral (Preprint)
Variational models with Eulerian-Lagrangian formulation allowing for material failure (2024) - M. Friedrich - L. Kreutz - K. Zemas (Math. Models Methods Appl. Sci. (M3AS))
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids (2024) - M. Friedrich - L. Kreutz - K. Zemas (Accepted Paper: Ann. Inst. H. Poincaré Anal. Non Linéaire (C))
Geometric rigidity in variable domains and derivation of linearized models for elastic materials with free surfaces (2024) - S. Almi - R. Badal - M. Friedrich - S. Schwarzacher (Preprint)
Thermo-elastodynamics of nonlinearly viscous solids (2024) - S. Almi - M. Caponi - M. Friedrich - F. Solombrino (Preprint)
Geometric rigidity on Sobolev spaces with variable exponent and applications (2023) - M. Friedrich - M. Perugini - F. Solombrino (Indiana University Mathematics Journal)
$Γ$-convergence for free-discontinuity problems in linear elasticity: Homogenization and relaxation (2023) - A. F. Donnarumma - M. Friedrich (preprint)
Stochastic homogenisation for functionals defined on asymptotically piecewise rigid functions (2023) - L. Kreutz - M. Friedrich - K. Zemas (Nonlinearity)
From atomistic systems to linearized continuum models for elastic materials with voids (2022) - E. Davoli - M. Friedrich (Accepted Paper: JEMS)
Two-well linearization for solid-solid phase transitions (2022) - S. Almi - E. Davoli - M. Friedrich (Accepted Paper: J. Math Pure Appl.)
Non-interpenetration conditions in the passage from nonlinear to linearized Griffith fracture (2022) - R. Badal - M. Friedrich - J. Seutter (Forces in Mechanics)
Existence of quasi-static crack evolution for atomistic systems (2022) - M. Friedrich - L. Kreutz (Journal of Statistical Physics)
A proof of finite crystallization via stratification (2022) - M. Friedrich - M. Perugini - F. Solombrino (Journal of Functional Analysis)
Lower semicontinuity for functionals defined on piecewise rigid functions and on $GSBD$ (2021) - M. Friedrich - F. Solombrino (Archive for Rational Mechanics and Analysis)
Functionals defined on piecewise rigid functions: Integral representation and $\Gamma$-convergence (2020) - V. Crismale - M. Friedrich (Arch. Rational Mech. Anal.)
Equilibrium configurations for epitaxially strained films and material voids in three-dimensional linear elasticity (2020) - E. Davoli - M. Friedrich (Calc. Var. Partial Differential Equations)
Two-well rigidity and multidimensional sharp-interface limits for solid-solid phase transitions (2020) - V. Crismale - M. Friedrich - F. Solombrino (Advances in Calculus of Variations)
Integral representation for energies in linear elasticity with surface discontinuities (2020) - M. Friedrich - L. Kreutz - B. Schmidt (Accepted Paper: Archive for Rational Mechanics and Analysis)
Emergence of rigid Polycrystals from atomistic Systems with Heitmann-Radin sticky disk energy (2020) - M. Friedrich - E. Mainini - P. Piovano (Rendiconti Sem. Mat. Univ. Pol. Torino)
Atomistic potentials and the Cauchy-Born rule for carbon nanotubes: a review (2019) - L. Kreutz - M. Friedrich (Nonlinearity)
Finite crystallization and wulff shape emergence for ionic compounds in the square lattice (2019) - M. Friedrich - F. Solombrino (Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire)
Quasistatic crack growth in 2d-linearized elasticity (2018) - M. Friedrich - E. Mainini - P. Piovano - U. Stefanelli (Arch. Ration. Mech. Anal.)
Characterization of optimal carbon nanotubes under stretching and validation of the Cauchy-Born rule (2018) - L. Kreutz - M. Friedrich (Accepted Paper: Math. Mod. Meth. Appl. Sci. (M3AS))
Crystallization in the hexagonal lattice for ionic dimers (2018) - M. Friedrich (Preprint)
A piecewise Korn inequality in $SBD$ and applications to embedding and density results (2016) - M. Friedrich - P. Piovano - U. Stefanelli (SIAM J. Appl. Math.)
The geometry of $C_{60}$: a rigorous approach via Molecular Mechanics (2016) - M. Friedrich (Preprint)
A Korn-Poincare-type inequality for special functions of bounded deformation (2015) - M. Friedrich - B. Schmidt (Preprint)
A quantitative geometric rigidity result in SBD (2015) - M. Friedrich (Preprint)
A derivation of linearized Griffith energies from nonlinear models (2015) - M. Friedrich (Preprint)
A Korn-type inequality in SBD for functions with small jump sets (2015)
Speaker:
- 21 feb 2024 - 23 feb 2024: Variational models in Materials Science-II
- 18 sep 2023 - 20 sep 2023: 11th Workshop of the GAMM Activity Group "Analysis of Partial Differential Equations"
- 19 jun 2023 - 21 jun 2023: Calculus of Variations and Applications
- 5 jun 2023 - 9 jun 2023: Vito Volterra Meeting 2023 in Calculus of Variations
- 20 feb 2023 - 24 feb 2023: Between Regularity and Defects: Variational and Geometrical Methods in Materials Science
- 6 sep 2022 - 9 sep 2022: Workshop "Nonlinear evolutionary equations and applications"
- 15 jun 2022 - 17 jun 2022: XXIII STAMM
- 16 may 2022 - 20 may 2022: Beyond Elasticity: Advances and Research Challenges
- 1 jul 2019 - 5 jul 2019: Calculus of Variations on Schiermonnikoog 2019
- 13 feb 2017 - 16 feb 2017: Miniworkshop on dislocations, plasticity, and fracture
Organizer:
- 20 sep 2023 - 22 sep 2023: Variational models for material failure
- 12 sep 2022 - 16 sep 2022: Summerschool on Analysis and Applied Mathematics
- 22 feb 2021 - 26 feb 2021: (Virtual) Winterschool on Analysis and Applied Mathematics
- 29 oct 2019 - 1 nov 2019: Mathematics for Mechanics
- 16 sep 2019 - 19 sep 2019: 6th Applied Mathematics Symposium Münster: recent advances in the Calculus of Variations
- 20 aug 2018 - 24 aug 2018: New trends in the variational modeling of failure phenomena