3 problems

Let $I(y,\{s_j\},\lambda)$ be the laminated energy for a Lipschitz weight $\lambda\in\mathrm{Lip}(\Omega)$ satisfying $0<\lambda(x)<1$, and define … Here the slips $s_j$ are assume…

Let $E_{\mathrm{lb}}$ denote the lower-bound energy and let $E_{\mathrm{ub}}^{(1)}$ be the upper bound obtained from laminates with plane-wise constant weights. In the setting wher…

Let $\ell$ and $h$ be the material length-scale and specimen height, respectively, and let $\mathcal{T}(f)$ be the energy functional … Let the space of admissible functions, the yi…