Zobrazeno 1 - 10
of 149
pro vyhledávání: '"Dolzmann, Georg"'
Let $M$ be a smooth, compact, connected, oriented Riemannian manifold, and let $\imath: M \to \mathbb R^d$ be an isometric embedding. We show that a Sobolev map $f: M \to M$ which has the property that the differential $df(q)$ is close to the set $SO
Externí odkaz:
http://arxiv.org/abs/2402.06448
Autor:
Bangert, Kira, Dolzmann, Georg
Existence and uniqueness of solutions for a class of models for stress-modulated growth is proven in one spatial dimension. The model features the multiplicative decomposition of the deformation gradient $F$ into an elastic part $F_e$ and a growth-re
Externí odkaz:
http://arxiv.org/abs/2211.13571
A variational model of pressure-dependent plasticity employing a time-incremental setting is introduced. A novel formulation of the dissipation potential allows one to construct the condensed energy in a variationally consistent manner. For a one-dim
Externí odkaz:
http://arxiv.org/abs/2212.11783
Existence and regularity of minimizers for a geometric variational problem is shown. The variational integral models an energy contribution of the interface between two immiscible fluids in the presence of surfactants and includes a Helfrich type con
Externí odkaz:
http://arxiv.org/abs/2112.06898
Autor:
Behr, Florian, Dolzmann, Georg
Publikováno v:
PAMM: Proceedings in Applied Mathematics & Mechanics; Dec2024, Vol. 24 Issue 4, p1-7, 7p
Autor:
Behr, Florian1 (AUTHOR), Dolzmann, Georg1 (AUTHOR), Hackl, Klaus2 (AUTHOR) klaus.hackl@rub.de, Jezdan, Ghina2 (AUTHOR)
Publikováno v:
Continuum Mechanics & Thermodynamics. Sep2023, Vol. 35 Issue 5, p2019-2041. 23p.
Autor:
Conti, Sergio, Dolzmann, Georg
Publikováno v:
Arch. Ration. Mech. Anal. 217 (2015), 413-437
We consider vectorial variational problems in nonlinear elasticity of the form $I[u]=\int W(Du)dx$, where $W$ is continuous on matrices with positive determinant and diverges to infinity long sequences of matrices whose determinant is positive and te
Externí odkaz:
http://arxiv.org/abs/1403.5779
Autor:
Conti, Sergio, Dolzmann, Georg
Publikováno v:
Math. Models. Metods App. Sci. 24 (2014), 2929--2942
We consider a two-dimensional problem in nonlinear elasticity which corresponds to the cubic-to-tetragonal phase transformation. Our model is frame invariant and the energy density is given by the squared distance from two potential wells. We obtain
Externí odkaz:
http://arxiv.org/abs/1403.4877
Autor:
Dolzmann, Georg.
Univ., Habil-Schr.--Leipzig, 2002.
Literaturverzeichnis S. [201] - 209.
Literaturverzeichnis S. [201] - 209.
Externí odkaz:
http://www.loc.gov/catdir/enhancements/fy0813/2002036690-d.html
http://www.loc.gov/catdir/enhancements/fy0813/2002036690-t.html
http://www.loc.gov/catdir/enhancements/fy0813/2002036690-t.html