Navier’s equations modeling linear elastic solid deformations are embedded within an Extended Kalman Filter (EKF) to compute a sequential Bayesian estimate for non-rigid monocular Simultaneous Localization And Mapping (SLAM). The scene is represented as a Finite Element Method elastic thin-plate solid, where the discretization nodes are the sparse set of scene points salient in the image. It is...

In this study, two-dimensional finite element modeling was used to study the simultaneous effect of the cell shape and regular cell distribution on the anisotropy of the elastic properties of 316L stainless steel foam. In this way, the uniaxial compressive stress-strain curve was predicted using a geometric model and fully solid 316L stainless steel. The results showed that the elastic tangent ...

Large scale molecular dynamics simulations of iron at high pressure and temperature are performed to investigate the physics of shear softening. A solid 16×10(6) atoms sample of iron is grown out of the liquid with a small solid immersed in it at the start of simulation. We observe that diffusion in the sheared solid is similar to that in liquid, even though at different time scales. This allow...

In this paper, based on Kelvin and Linear Standard Solid models, dynamic response and the buckling load of a viscoelastic beam under  lateral and axial loads have been determined. The governing equations have been extracted using Euler  and Timoshenko theories and their analytical solutions have been obtained by using the eigenfunctions expansion method. Buckling load have been calculated by us...

An aside to the crash course on Basic mathematical structures of neo-classical continuum mechanics Energies through the ether flow, Waves travel to and fro, And with a ratio Their speed you measure. Colours yield their secret hue, And Saturn's rings subdued by you Suggest that gases Might be measured too. Science you freed From cramping mechanistic creed, And by your theory brought The elastic ...

We present a dynamical theory of a two–dimensional martensitic transition in an elastic solid, connecting a high–temperature phase which is nondegenerate and has triangular symmetry, and a low– temperature phase which is triply degenerate and has oblique symmetry. A global mode–based Galerkin method is employed to integrate the deterministic equation of motion, the latter of which is derived by...

The viscoelastic behavior of binderless carbon black compacts under dynamic compression (0.2–10.0 Hz, static strain 1.0–2.5%, deformation amplitude 9.4–16 lm and packing density 0.18–0.45 g/cm) is governed by the solid part of the compact, with the elastic character dominating the viscous character. The viscous character increases with increasing aggregate size, while the elastic character decr...

Eshelby's theory is the foundation of composite mechanics, allowing calculation of the effective elastic moduli of composites from a knowledge of their microstructure. However, it ignores interfacial stress and only applies to very dilute composites-i.e. where any inclusions are widely spaced apart. Here, within the framework of the Mori-Tanaka multiphase approximation scheme, we extend Eshelby...