Nonlinear elastic materials are of great engineering interest, but challenging to model with standard fi nite elements. The challenges arise because nonlinear elastic materials are characterized by nonconvex stored-energy functions as a result of their ability to undergo large reversible deformations, are incompressible or nearly incompressible, and often times possess complex microstructures. ...

Nowadays, piezoelectric materials have wide applications in various industries. Therefore, investigation of these materials and their applications has a special importance. In this paper first, the natural frequencies of a traveling-wave piezoelectric motor are achieved, using finite elements simulations. Then, applying an alternative electrical voltage to the piezoelectric ring, a traveling wa...

in this paper, we use molecular dynamics and finite element simulations to determine the mechanical properties of single-crystal metal of silver (ag) with nano-holes. the lattice transition method from 3-dimensions into 2-dimentions in molecular dynamics simulation as well as plane stress model in finite element method, is used to lessen the simulation time consuming. elasticity module reductio...

DIME is a programming environment for manipulation of irregular triangular meshes with a distributed memory machine. We have added a software layer DIMEFEM which manipulates Finite Element representations of functions and allows the stating and solving of variational statements. An application of DIMEFEM is an incompressible Navier-Stokes solver with a three-stage implicit time step, using quas...

In this work, we propose a mixed finite element method for solving elliptic multiscale problems based on a localized orthogonal decomposition (LOD) of Raviart– Thomas finite element spaces. It requires to solve local problems in small patches around the elements of a coarse grid. These computations can be perfectly parallelized and are cheap to perform. Using the results of these patch problems...

This fact motivated the rise of alternative simulation approaches (Lattice Boltzmann, Finite Differences, Finite Element Embedded approaches), which approximate the shape of the object of interest by the use of local refinement techniques or simply by employing finer discretizations. Within the area of the Finite Element Method (FEM), the challenge its often addressed by the use of tetrahedral ...