The influence of static stress and alternating loading direction on the potential energy mechanical properties amorphous alloys is investigated using molecular dynamics simulations. model glass represented via a binary mixture which first slowly annealed well below transition temperature then subjected to elastostatic either along single or two three directions. We find that at sufficiently lar...

This paper summarizes the development of an object-oriented C++ library for the virtual element method (VEM) named Veamy, whose modular design is focused on its extensibility. The two-dimensional linear elastostatic problem has been chosen as the starting stage for the development of this library. In contrast to the standard finite element method, the VEM in two dimensions uses polygonal finite...

A methodology for solving three-dimensional crack problems with geometries that are independent of the mesh is described. The method is based on the extended 5nite element method, in which the crack discontinuity is introduced as a Heaviside step function via a partition of unity. In addition, branch functions are introduced for all elements containing the crack front. The branch functions incl...

A NEW method is presented for a systematic evaluation of the effective elastic tensor Ccc) in a two-component composite. Both Ct” and local strain field are expanded in terms of a complete set of elastostatic resonances. The resonances are found by calculating eigenstates of a certain integral operator, and this can be carried out in stages. First one finds theeigenstates of individual, isolate...

This paper developed an effective multiscale method for analysing the deformation of NanoElectroMechanical (NEM) switches based on carbon nanotubes. The switches were simplified to beam systems with loads calculated from three-coupled energy domains: the electrostatic energy domain, the elastostatic energy domain, and the van der Waals energy domain. A meshless formulation was then used to disc...

Abstract—Topology optimization technique utilizes constant element densities as design parameters. Finally, optimal distribution contours of the material densities between voids (0) and solids (1) in design domain represent the determination of topology. It means that regions with element density values become occupied by solids in design domain, while there are only void phases in regions wher...

Based on a general, operational approach, two new integral identities for the fundamental solutions of the potential and elastostatic problems are established in this paper. Non-singular forms of the conventional boundary integral equations (BIEs) are derived by employing these two identities for the fundamental solutions and the twoterm subtraction technique. Both the strongly(Cauchy type) and...

This chapter is devoted to the design of robots, with a focus on serial architectures. In this regard, we start by proposing a stepwise design procedure; then, we recall the main issues in robot design. These issues pertain to workspace geometry, the kinetostatic, the dynamic, the elastostatic, and elastodynamic performance. In doing this, the mathematics behind the concepts addressed is briefl...

We introduce precomputed multizone elastokinematic models for interactive simulation of multibody kinematic systems which include elastostatic deformations. This enables an efficient form of domain decomposition, suitable for interactive simulation of stiff flexible structures for real time applications such as interactive assembly. One advantage of multizone models is that each zone can have s...