5 papers
Dimension reduction for a coupled electro-elastic saddle-point problem at finite strains
Kateryna Buryachenko, Annegret Glitzky, Matthias Liero +1
We study the finite deformation of a thin, elastically heterogeneous sheet subject to electrostatic coupling. The interaction between mechanics and electrostatics is formulated as…
Derivation of the Reissner-Mindlin model from nonlinear elasticity
Tamara Fastovska, Janusz Ginster, Barbara Zwicknagl
We discuss how the Reissner-Mindlin plate model can be derived from three-dimensional finite elasticity in terms of -convergence. The presence of transverse shear effects in th…
Nonlinear interpolation inequalities with fractional Sobolev norms and pattern formation in biomembranes
Janusz Ginster, Anastasija PeÅ¡iÄ, Barbara Zwicknagl
We consider a one-dimensional version of a variational model for pattern formation in biological membranes. The driving term in the energy is a coupling between the order parameter…
Microstructures in a two-dimensional frustrated spin system: Scaling regimes and a discrete-to-continuum limit
Janusz Ginster, Melanie Koser, Barbara Zwicknagl
We study pattern formation within the - - spin model on a two-dimensional square lattice in the case of incompatible (ferromagnetic) boundary conditions on the spin field…
On the Effect of Geometry on Scaling Laws for a Class of Martensitic Phase Transformations
Janusz Ginster, Angkana Rüland, Antonio Tribuzio +1
We study scaling laws for singular perturbation problems associated with a class of two-dimensional martensitic phase transformations and deduce a domain dependence of the scaling…