A striking geometric property of elastic bodies with dislocations is their non-Riemannian nature in the sense that the deformation tensor cannot be written as the gradient of a one-to-one immersion, since its curl must not be zero, but equals to the density of dislocations, a concentrated Radon measure in the dislocation lines. In this work, we discuss the mathematical properties of such constr...

X-ray mirrors with high focusing performances are commonly used in different sectors of science, such as X-ray astronomy, medical imaging and synchrotron/free-electron laser beamlines. While deformations of the mirror profile may cause degradation of the focus sharpness, a deliberate deformation of the mirror can be made to endow the focus with a desired size and distribution, via piezo actuato...

Shape deformation as a fundamental geometric operation underpins a wide range of applications, from geometric modelling, medical imaging to biomechanics. In medical imaging, for example, to quantify the difference between two corresponding images, 2D or 3D, one needs to find the deformation between both images. However, such deformations, particularly deforming complex volume datasets, are pron...

A layer-wise third order shear and normal deformable plate/shell theory (TSNDT) incorporating all geometric nonlinearities is used to study finite transient deformations of a curved laminated beam composed of a St. Venant–Kirchhoff material. In the TSNDT all displacement components of a point are expressed as 3rd order polynomials in the thickness coordinate in each layer while maintaining the ...

Bucket is key and primary component of heavy construction machinery such as excavators. It has to bear high impact loads during digging process, resulting in large stress deformations. This research work been focused on reducing deformations produced excavator bucket due digging. For this purpose, different design patents buckets (including ornamental designs) were considered. Various models de...

AIM To establish a new procedure for 3D geometric reconstruction of the human cornea to obtain a solid model that represents a personalized and in vivo morphology of both the anterior and posterior corneal surfaces. This model is later analyzed to obtain geometric variables enabling the characterization of the corneal geometry and establishing a new clinical diagnostic criterion in order to dis...

We undertake a systematic analysis of non-geometric backgrounds in string theory by seeking stringy liftings of a class of gauged supergravity theories. In addition to conventional flux compactifications and non-geometric T-folds with T-duality transition functions, we find a new class of non-geometric backgrounds with non-trivial dependence on the dual coordinates that are conjugate to the str...

Nowadays hyperspectral data are really important in the environmental field. While the advantages, due to their radiometric features are broadly documented a rigorous metric verification is still absent especially in uneven areas (mountains) where the presence of steep slopes produces strong deformations on the images that have therefore to be preventively corrected. The classification potentia...

Abstract Coisotropic algebras consist of triples for which a reduction can be defined and unify in very algebraic fashion coisotropic several settings. In this paper, we study the theory (formal) deformation showing that deformations are governed by suitable DGLAs. We define functor prove it commutes with reduction. Finally, obstructions to existence uniqueness present some geometric examples.