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...

and this problem can be solved analytically: u (x) = x − sinhx/sinh1. The purpose of starting with this problem is to demonstrate the fundamental concepts and pitfalls in FEM in a situation where we know the correct answer, so that we will know where our approximation is good and where it is poor. In cases of practical interest we will look at ODEs and PDEs that are too complex to be solved ana...

Finite element methods are based on the variational formulation of partial differential equations which only need to compute the gradient of a function. Although unknowns are still associated to nodes, the function composed by piece-wise polynomials on each element and thus the gradient can be computed element-wise. Finite element spaces can thus be constructed on general triangulations and thi...

G. Pileičikienė*, A. Šurna**, G. Skirbutis***, R. Barauskas****, R. Šurna***** *Kaunas University of Medicine, Sukilėlių 51, 50106 Kaunas, Lithuania, E-mail [email protected] **Kaunas University of Medicine, Sukilėlių 51, 50106 Kaunas, Lithuania, E-mail: [email protected] ***Kaunas University of Medicine, Sukilėlių 51, 50106 Kaunas, Lithuania, E-mail: [email protected] ****Kau...