Zobrazeno 1 - 10
of 197
pro vyhledávání: '"Friedrich, Manuel"'
According to the Nernst theorem or, equivalently, the third law of thermodynamics, the absolute zero temperature is not attainable. Starting with an initial positive temperature, we show that there exist solutions to a Kelvin-Voigt model for quasi-st
Externí odkaz:
http://arxiv.org/abs/2407.02035
Autor:
Bresciani, Marco, Friedrich, Manuel
We propose a model for quasistatic growth of cavities and cracks in two-dimensional nonlinear elasticity. Cavities and cracks are modeled as discrete and compact subsets of a planar domain, respectively, and deformations are defined only outside of c
Externí odkaz:
http://arxiv.org/abs/2406.11293
We derive a strain-gradient theory for plasticity as the $\Gamma$-limit of discrete dislocation fractional energies, without the introduction of a core-radius. By using the finite horizon fractional gradient introduced by Bellido, Cueto, and Mora-Cor
Externí odkaz:
http://arxiv.org/abs/2406.08023
We characterize the unique minimizer of the three-dimensional double-bubble problem with respect to the $\ell_1$-norm for volume ratios between $1/2$ and $2$.
Comment: 17 pages, 2 figures
Comment: 17 pages, 2 figures
Externí odkaz:
http://arxiv.org/abs/2403.19295
We study the quasistatic evolution of a linear peridynamic Kelvin-Voigt viscoelastic material. More specifically, we consider the gradient flow of a nonlocal elastic energy with respect to a nonlocal viscous dissipation. Following an evolutionary $\G
Externí odkaz:
http://arxiv.org/abs/2402.16386
We investigate the existence of minimizers of variational models with Eulerian-Lagrangian formulations. We consider energy functionals depending on the deformation of a body, defined on its reference configuration, and an Eulerian map defined on the
Externí odkaz:
http://arxiv.org/abs/2402.12870
In this note we show Ahlfors-regularity for a large class of quasiminimizers of the Griffith functional. This allows us to prove that, for a range of free discontinuity problems in linear elasticity with anisotropic, cohesive, or heterogeneous behavi
Externí odkaz:
http://arxiv.org/abs/2402.09396
Autor:
Friedrich, Manuel, Seutter, Joscha
We study the atomistic-to-continuum limit for a model of a quasi-static crack evolution driven by time-dependent boundary conditions. We consider a two-dimensional atomic mass spring system whose interactions are modeled by classical interaction pote
Externí odkaz:
http://arxiv.org/abs/2402.02966
We study stochastic homogenisation of free-discontinuity surface functionals defined on piecewise rigid functions which arise in the study of fracture in brittle materials. In particular, under standard assumptions on the density, we show that there
Externí odkaz:
http://arxiv.org/abs/2312.12082
We derive a von K\'arm\'an plate theory from a three-dimensional quasistatic nonlinear model for nonsimple thermoviscoelastic materials in the Kelvin-Voigt rheology, in which the elastic and the viscous stress tensor comply with a frame indifference
Externí odkaz:
http://arxiv.org/abs/2312.07196