Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Manuel Friedrich"'
Publikováno v:
Forces in Mechanics, Vol 9, Iss , Pp 100138- (2022)
We consider atomistic systems consisting of interacting particles arranged in atomic lattices whose quasi-static evolution is driven by time-dependent boundary conditions. The interaction of the particles is modeled by classical interaction potential
Externí odkaz:
https://doaj.org/article/9f059955f6504e00bf6654cb5ddd2f9d
Autor:
Manuel Friedrich
Publikováno v:
Mathematics in Engineering, Vol 2, Iss 1, Pp 75-100 (2020)
We consider a nonlinear, frame indifferent Griffith model for nonsimple brittle materials where the elastic energy also depends on the second gradient of the deformations. In the framework of free discontinuity and gradient discontinuity problems, we
Externí odkaz:
https://doaj.org/article/558e111255374c5dabecc690e7a8e7a8
Publikováno v:
Nonlinearity. 34:8392-8413
Inspired by the issue of stability of molecular structures, we investigate the strict minimality of point sets with respect to configurational energies featuring two- and three-body contributions. Our main focus is on characterizing those configurati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5447e1a5550a32c3c1696662d02cbde2
https://doi.org/10.1088/1361-6544/ac3383
https://doi.org/10.1088/1361-6544/ac3383
Publikováno v:
Discrete & Continuous Dynamical Systems - S. 14:299-319
We consider metric gradient flows and their discretizations in time and space. We prove an abstract convergence result for time-space discretizations and identify their limits as curves of maximal slope. As an application, we consider a finite elemen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6116bf32b96be1a1ef624170b6b1cef1
https://doi.org/10.3934/dcdss.2020322
https://doi.org/10.3934/dcdss.2020322
Autor:
Manuel Friedrich, Ulisse Stefanelli
Publikováno v:
Communications in Mathematical Physics
Suspended graphene samples are observed to be gently rippled rather than being flat. In [M. Friedrich, U. Stefanelli. Graphene ground states, arXiv:1802.05049], we have checked that this nonplanarity can be rigorously described within the classical m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::191c524d1af5319e0457f1ec90562676
https://doi.org/10.1007/s00220-020-03869-z
https://doi.org/10.1007/s00220-020-03869-z
Autor:
Ulisse Stefanelli, Manuel Friedrich
Publikováno v:
Journal of statistical physics 179 (2020): 485–501. doi:10.1007/s10955-020-02537-9
info:cnr-pdr/source/autori:M. Friedrich and U. Stefanelli/titolo:Crystallization in a one-dimensional periodic landscape/doi:10.1007%2Fs10955-020-02537-9/rivista:Journal of statistical physics/anno:2020/pagina_da:485/pagina_a:501/intervallo_pagine:485–501/volume:179
info:cnr-pdr/source/autori:M. Friedrich and U. Stefanelli/titolo:Crystallization in a one-dimensional periodic landscape/doi:10.1007%2Fs10955-020-02537-9/rivista:Journal of statistical physics/anno:2020/pagina_da:485/pagina_a:501/intervallo_pagine:485–501/volume:179
We consider the crystallization problem for a finite one-dimensional collection of identical hard spheres in a periodic energy landscape. This issue arises in connection with the investigation of crystalline states of ionic dimers, as well as in epit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ba60f933ab98dfe592a9512bd6b21a3
https://doi.org/10.1007/s10955-020-02537-9
https://doi.org/10.1007/s10955-020-02537-9
Autor:
Leonard Kreutz, Manuel Friedrich
Publikováno v:
Nonlinearity. 33:1240-1296
We present two-dimensional crystallization results in the square lattice for finite particle systems consisting of two different atomic types. We identify energy minimizers of configurational energies featuring two-body short-ranged particle interact
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9848f3c3e041dd3f5b7587555d9f1f77
https://doi.org/10.1088/1361-6544/ab591f
https://doi.org/10.1088/1361-6544/ab591f
We consider a quasistatic nonlinear model in thermoviscoelasticity at a finite-strain setting in the Kelvin-Voigt rheology where both the elastic and viscous stress tensors comply with the principle of frame indifference under rotations. The force ba
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75a920c1056b2e45c5cd8c8af7682604
http://arxiv.org/abs/2203.02375
http://arxiv.org/abs/2203.02375
Autor:
Manuel Friedrich, Lennart Machill
We consider a two-dimensional model of viscoelastic von Kármán plates in the Kelvin’s-Voigt’s rheology derived from a three-dimensional model at a finite-strain setting in Friedrich and Kružík (Arch Ration Mech Anal 238: 489–540, 2020). As
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22b0b03d22282d0cf7b0943b9d43de10
http://arxiv.org/abs/2108.05132
http://arxiv.org/abs/2108.05132
In this work, we provide a characterization result for lower semicontinuity of surface energies defined on piecewise rigid functions, i.e., functions which are piecewise affine on a Caccioppoli partition where the derivative in each component is a sk
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ee2679fe000ddb8cee3c7b7989598dc
http://hdl.handle.net/11588/834260
http://hdl.handle.net/11588/834260