Current Cluster Publications

Current Cluster Publications of JProf. Dr. Manuel Friedrich

$\bullet $ Manuel Friedrich, Manuel Seitz, and Ulisse Stefanelli. Nonlocal-to-local limit in linearized viscoelasticity. arXiv e-prints, February 2024. arXiv:2402.16386.

$\bullet $ Manuel Friedrich, Camille Labourie, and Kerrek Stinson. Strong existence for free discontinuity problems in linear elasticity. arXiv e-prints, February 2024. arXiv:2402.09396.

$\bullet $ Manuel Friedrich and Leonard Kreutz. A proof of finite crystallization via stratification. Journal of Statistical Physics, December 2023. doi:10.1007/s10955-023-03202-7.

$\bullet $ Manuel Friedrich, Wojciech Górny, and Ulisse Stefanelli. A characterization of $\ell _1$ double bubbles with general interface interaction. arXiv e-prints, November 2023. arXiv:2311.07782.

$\bullet $ Manuel Friedrich and Lennart Machill. One-dimensional viscoelastic von Kármán theories derived from nonlinear thin-walled beams. Calculus of Variations and Partial Differential Equations, 62(7):190, July 2023. doi:10.1007/s00526-023-02525-3.

$\bullet $ Manuel Friedrich, Leonard Kreutz, and Konstantinos Zemas. Derivation of effective theories for thin 3D nonlinearly elastic rods with voids. arXiv e-prints, April 2023. arXiv:2304.05289.

$\bullet $ Rufat Badal, Manuel Friedrich, and Martin Kružík. Nonlinear and linearized models in thermoviscoelasticity. Archive for Rational Mechanics and Analysis, 247(1):5, January 2023. doi:10.1007/s00205-022-01834-9.

$\bullet $ Manuel Friedrich, Leonard Kreutz, and Konstantinos Zemas. From atomistic systems to linearized continuum models for elastic materials with voids. Nonlinearity, 36(1):679–733, December 2022. doi:10.1088/1361-6544/aca5de.

$\bullet $ Rufat Badal, Manuel Friedrich, and Joscha Seutter. Existence of quasi-static crack evolution for atomistic systems. Forces in Mechanics, 9:100138, December 2022. doi:10.1016/j.finmec.2022.100138.

$\bullet $ Leonard Kreutz and Manuel Friedrich. A proof of finite crystallization via stratification. arXiv e-prints, September 2022. arXiv:2209.14880.

$\bullet $ Manuel Friedrich, Manuel Seitz, and Ulisse Stefanelli. Tilings with nonflat squares: A characterization. Milan Journal of Mathematics, 90(1):131–175, June 2022. doi:10.1007/s00032-022-00350-5.

$\bullet $ Manuel Friedrich, Leonard Kreutz, and Konstantinos Zemas. From atomistic systems to linearized continuum models for elastic materials with voids. arXiv e-prints, February 2022. arXiv:2202.05018.

$\bullet $ Manuel Friedrich and Lennart Machill. Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons. Nonlinear Differential Equ. Appl. NoDEA, 29(2):11, January 2022. doi:10.1007/s00030-021-00745-0.

$\bullet $ Manuel Friedrich, Martin Kružík, and Ulisse Stefanelli. Equilibrium of immersed hyperelastic solids. Discrete Contin. Din. Syst. Ser. S, 14(11):4141, November 2021. doi:10.3934/dcdss.2021003.

$\bullet $ Laurent Bétermin, Manuel Friedrich, and Ulisse Stefanelli. Stability of $\mathbb Z^2$ configurations in 3D. Nonlinearity, 34(12):8392–8413, November 2021. doi:10.1088/1361-6544/ac3383.

$\bullet $ Manuel Friedrich, Wojciech Górny, and Ulisse Stefanelli. The double-bubble problem on the square lattice. arXiv e-prints, September 2021. arXiv:2109.01697.

$\bullet $ Manuel Friedrich, Manuel Seitz, and Ulisse Stefanelli. Tilings with nonflat squares: a characterization. arXiv e-prints, August 2021. arXiv:2108.01954.

$\bullet $ Laurent Bétermin, Manuel Friedrich, and Ulisse Stefanelli. Lattice ground states for embedded-atom models in 2D and 3D. Letters in Mathematical Physics, 111(4):107, August 2021. doi:10.1007/s11005-021-01446-6.

$\bullet $ Manuel Friedrich, Leonard Kreutz, and Konstantinos Zemas. Geometric rigidity in variable domains and derivation of linearized models for elastic materials with free surfaces. arXiv e-prints, July 2021. arXiv:2107.10808.

$\bullet $ Manuel Friedrich, Matteo Perugini, and Francesco Solombrino. Lower semicontinuity for functionals defined on piecewise rigid functions and on GSBD. Journal of Functional Analysis, April 2021. doi:10.1016/j.jfa.2021.108929.

$\bullet $ Manuel Friedrich, Leonard Kreutz, and Bernd Schmidt. Emergence of rigid polycrystals from atomistic systems with Heitmann-Radin sticky disk energy. Arch. Ration. Mech. Anal., 240(2):627–698, March 2021. doi:10.1007/s00205-021-01615-w.

$\bullet $ Laurent Bétermin, Manuel Friedrich, and Ulisse Stefanelli. Lattice ground states for embedded-atom models in 2d and 3d. arXiv e-prints, January 2021. arXiv:2101.05602.

$\bullet $ Manuel Friedrich, Martin Kružík, and Jan Valdman. Numerical approximation of von Karman viscoelastic plates. Discrete And Continuous Dynamical Systems - S, 14(1):299–319, January 2021. doi:10.3934/dcdss.2020322.

$\bullet $ Vito Crismale, Manuel Friedrich, and Francesco Solombrino. Integral representation for energies in linear elasticity with surface discontinuities. Advances in Calculus of Variations, November 2020. doi:10.1515/acv-2020-0047.

$\bullet $ Manuel Friedrich, Matteo Perugini, and Francesco Solombrino. Γ-convergence for free-discontinuity problems in linear elasticity: homogenization and relaxation. arXiv e-prints, October 2020. arXiv:2010.05461.

$\bullet $ Manuel Friedrich and Ulisse Stefanelli. Ripples in graphene: A variational approach. Comm. Math. Phys., 379(3):915–954, October 2020. doi:10.1007/s00220-020-03869-z.

$\bullet $ Manuel Friedrich and Martin Kružík. Derivation of von Kármán plate theory in the framework of three-dimensional viscoelasticity. Archive for Rational Mechanics and Analysis, 238(1):489–540, October 2020. doi:10.1007/s00205-020-01547-x.

$\bullet $ Laurent Bétermin, Manuel Friedrich, and Ulisse Stefanelli. Angle-rigidity for $\mathbb z^2$ configurations. arXiv e-prints, September 2020. arXiv:2009.11503v1.

$\bullet $ Manuel Friedrich and Ulisse Stefanelli. Crystallization in a one-dimensional periodic landscape. J. Stat. Phys., 179(2):485–501, April 2020. doi:10.1007/s10955-020-02537-9.

$\bullet $ Vito Crismale and Manuel Friedrich. Equilibrium configurations for epitaxially strained films and material voids in three-dimensional linear elasticity. Arch. Ration. Mech. Anal., 237(2):1041–1098, April 2020. doi:10.1007/s00205-020-01525-3.

$\bullet $ Manuel Friedrich and Leonard Kreutz. Finite crystallization and Wulff shape emergence for ionic compounds in the square lattice. Nonlinearity, 33(3):1240–1296, February 2020. doi:10.1088/1361-6544/ab591f.

$\bullet $ Manuel Friedrich and Francesco Solombrino. Functionals defined on piecewise rigid functions: Integral representation and Γ-convergence. Arch. Ration. Mech. Anal., 236(3):1325–1387, February 2020. doi:10.1007/s00205-020-01493-8.

$\bullet $ Elisa Davoli and Manuel Friedrich. Two-well rigidity and multidimensional sharp-interface limits for solid–solid phase transitions. Calc. Var. Partial Differential Equations, 59(2):Paper No. 44, February 2020. doi:10.1007/s00526-020-1699-5.

$\bullet $ Manuel Friedrich. Griffith energies as small strain limit of nonlinear models for nonsimple brittle materials. Mathematics in Engineering, 2(1):75–100, January 2020. arXiv:1916.07817, doi:10.3934/mine.2020005.

$\bullet $ Manuel Friedrich, Edoardo Mainini, and Paolo Piovano. Atomistic potentials and the Cauchy-Born rule for carbon nanotubes: A review. Rendiconti del Seminario Matematico, 77(2):79–98, September 2019.

$\bullet $ Manuel Friedrich and Leonard Kreutz. Crystallization in the hexagonal lattice for ionic dimers. Mathematical Models & Methods in Applied Sciences, 29(10):1853–1900, September 2019. doi:10.1142/s0218202519500362.

$\bullet $ Manuel Friedrich. A compactness result in $ GSBV^p$ and applications to Gamma-convergence for free discontinuity problems. Calc. Var. PDE, 58(3):86, May 2019. doi:10.1007/s00526-019-1530-3.

$\bullet $ Manuel Friedrich and Martin Kružík. Derivation of von rmán plate theory in the framework of three-dimensional viscoelasticity. arXiv e-prints, February 2019. arXiv:1902.10037.

$\bullet $ Manuel Friedrich, Edoardo Mainini, and Paolo Piovano. Atomistic potentials and the Cauchy-Born rule for carbon nanotubes: a review. Rendiconti del Seminario Matematico, 77(2):79–98, 2019.

$\bullet $ Manuel Friedrich, Edoardo Mainini, Paolo Piovano, and Ulisse Stefanelli. Characterization of optimal carbon nanotubes under stretching and validation of the Cauchy–Born rule. Archive for Rational Mechanics and Analysis, 231(1):465–517, July 2018. doi:10.1007/s00205-018-1284-7.