Abstract Instability-induced wrinkle patterns of thin sheets are ubiquitous in nature, which often result origami-like that provide inspiration for the engineering origami designs. Inspired by instability-induced patterns, we propose a computational design method based on nonlinear analysis loaded and topology optimization. The bar-and-hinge model is employed structural analysis, added with dis...

the notions of quasi-prime submodules and developed  zariski topology was introduced by the present authors in cite{ah10}. in this paper we use these notions to define a scheme. for an $r$-module $m$, let $x:={qin qspec(m) mid (q:_r m)inspec(r)}$. it is proved that $(x, mathcal{o}_x)$ is a locally ringed space. we study the morphism of locally ringed spaces induced by $r$-homomorphism $mrightar...

Equilibrium topological phases are robust against weak static disorder but may break down in the strong-disorder regime. Here we propose to explore how quench-induced emergent dynamical topology evolves under noise and uncover novel physics beyond equilibrium counterparts. We develop an analytic theory show that for noise, quantum dynamics induced by quenching initial trivial phase Chern insula...

Considering a commutative unital quantale L as the truth value table and using the tool of L-generalized convergence structures of stratified L-filters, this paper introduces a kind of fuzzy upper topology, called fuzzy S-upper topology, on L-preordered sets. It is shown that every fuzzy join-preserving L-subset is open in this topology. When L is a complete Heyting algebra, for every completel...

in this paper‎, ‎we introduce a new model of point free topology‎ ‎for point-set topology‎. ‎we study the basic concepts in this‎ ‎structure and will find that it is naturally close to point-set‎ ‎topology‎.‎

The notions of quasi-prime submodules and developed  Zariski topology was introduced by the present authors in cite{ah10}. In this paper we use these notions to define a scheme. For an $R$-module $M$, let $X:={Qin qSpec(M) mid (Q:_R M)inSpec(R)}$. It is proved that $(X, mathcal{O}_X)$ is a locally ringed space. We study the morphism of locally ringed spaces induced by $R$-homomorphism $Mrightar...

Flat bands emerging in buckled monolayer graphene superlattices have been recently shown to realize correlated states analogous those observed twisted multilayers. Here, we demonstrate the emergence of valley topology driven by competing electronic correlations superlattices. We show, both means atomistic models and a low-energy description, that existence long-range leads competition between a...