Review of the dispersion properties of plane square bilinear finite element used in plane elastic wave propagation problems is presented. It is assumed the grid (spatial) [...]

Explicit integration plays a key role in many problems of linear and non-linear dynamics. For example, the finite element method applied to spatial discretization of con [...]

This work addresses three issues in computational modelling of contact-impact problems: i) overviews a contact algorithm proposed by these authors, ii) local search treat [...]

Artificial oscillations in contact force due to non-smooth contact surface are treated by isogeometric analysis (IGA). After brief overview of B-splines and Non-Uniform [...]

The central difference method is widely used for the numerical solution of the transient elastodynamics problems by the finite element method. The effectiveness of this [...]

Accuracy and stability of two-dimensional bilinear four-node and serendipity eight-node finite elements was tested in a wave propagation simulation. The influence of di [...]

The stability of the contact algorithm is significantly influenced by the local contact search procedure, which consists in the determination of the exact position of t [...]

The spatial discretization of continuum by finite element method introduces the dispersion error to numerical solutions of stress wave propagation. For higher order fin [...]

The numerical dispersion of two-dimensional finite elements was studied. The outcome of this dispersion study was verified by the numerical and analytical solutions to [...]

The paper deals with application of the FETI (Finite Element Tearing and Interconnecting) method to finite element solution of contact problems while taking into account [...]