Motivated by striped correlated quantum matter, and the recently developed duality between elasticity of a two-dimensional (2D) crystal gauge theory, we derive dual coupled U(1) vector theory for smectic, where disclination is mapped onto fractonic charge, that demonstrate can only move transversely to smectic layers. This also emerges from after Higgs transition corresponding single flavor its...

Abstract In this work, mathematical models of physically nonlinear plates and beams made from multimodulus materials are constructed. Our considerations based on the 3D deformation theory plasticity, von Mises plasticity criterion method variable parameters elasticity developed by Birger. The proposed computational algorithm enable for solving problems three types boundary conditions, edge cond...

This paper deals with the solution of the discretized quasistatic 3D Signorini problems with local Coulomb friction. After a time discretization we obtain a system of static contact problems with Coulomb friction. Each of these problems is decomposed by the TFETI domain decomposition method used in auxiliary contact problemswith Tresca friction. The algebraic formulation of these problems in 3D...

It has been claimed that quasistatic granular materials, as well as nanoscale materials, exhibit departures from elasticity even at small loadings. It is demonstrated, using 2D and 3D models with interparticle harmonic interactions, that such departures are expected at small scales [below O(100) particle diameters], at which continuum elasticity is invalid, and vanish at large scales. The model...

A large body of research addresses the representation, construction and interactive control of 3D curves for various applications. Interactively controlling curves with empirical physical attributes of stiffness and elasticity that bend and wrap around 3D scene geometry is a common and challenging problem. In this paper we address this problem with a novel 3D curve called a cord. A cord is crea...

Map-centric SLAM utilizes elasticity as a means of loop closure. This approach reduces the cost closure while still providing large-scale fusion-based dense maps, when compared to trajectory-centric approaches. In this article, we present novel framework, named ElasticLiDAR++ , for multimodal m...

We consider multigrid methods for problems in linear elasticity which are robust with respect to the Poisson ratio. Therefore, we consider mixed approximations involving the displacement vector and the pressure, where the pressure is approximated by discontinuous functions. Then, the pressure can be eliminated by static condensation. The method is based on a saddle point smoother which was intr...

in this paper, the stability characteristics of single-walled carbon nanotubes (swcnts) under the action of axial load are investigated. to this end, a nonlocal flügge shell model is developed to accommodate the small length scale effects. the analytical rayleigh-ritz method with beam functions is applied to the variational statement derived from the flügge-type buckling equations. molecular dy...