Elastostatic problems in multicomponent, multilayered periodic composites

The object of the analysis is a two-dimensional elastostatic problem for multicomponent, multilayered periodic composites. The equations of equilibrium for this composite are obtained within the framework of tolerance modelling procedure. The paper presents two examples of solutions of boundary value problems.

Nano-beams under torsion: a stress-driven nonlocal approach

Purpose This study aims to model scale effects in nano-beams under torsion. Design/methodology/approach The elastostatic problem of a nano-beam is formulated by a novel stress-driven nonlocal approach. Findings Unlike the standard strain-driven nonlocal methodology, the proposed stress-driven nonlocal model is mathematically and mechanically consistent. The contributed results are useful for the design of modern devices at nanoscale. Originality/value The innovative stress-driven integral nonlocal model, recently proposed in literature for inflected nano-beams, is formulated in the present submission to study size-dependent torsional behavior of nano-beams.

The Coupling of Pseudo-Spectral Method and Domain Decomposition Method for the Elastostatic Problem

It presents the coupling of Pseudo-spectral method (PS) and domain decomposition method (DDM) for the elastostatic problem. First, the original problem is decomposed into several sub-problems by DDM. Next combining the advantage of easy programming and high accuracy of Pseudo-spectral method, we can solve these sub-problems in parallel by PS. Finally the global numerical solution is obtained by the partition of unity approximation. Some numerical experiments illustrate the effectiveness and accuracy of our method.