The main difficulty in the contact analysis is a non-smoothness of contacting surfaces. It arises from inequality constraints as well as from geometric discontinuities in [...]

The critical Courant number limiting the length of time step in explicit integration schemes is inversely proportional to the maximum natural frequency of a finite elemen [...]

The spatial discretization of elastic continuum by finite element method (FEM) introduces dispersion errors to numerical solutions of wave propagation tasks. For higher o [...]

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

Accuracy and stability analysis of mass matrix lumping schemes applicable to wave propagation is carried out. To this end, a variable parameter, x, is defined for the 8no [...]

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 [...]

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 [...]

Mass matrix diagonalization in terms of a finite element method (FEM) is essential for an effective deployment of the explicit method as one of the direct integration me [...]