  This work aims to describe a mathematical model and a numerical method to
simulate a thin anisotropic composite membrane moving and deforming in 3D space
under a dynamic load of an arbitrary time and space profile. The model and the
method allow to consider problems when quasi static approximation is not valid,
and elastic waves caused by the impact should be calculated. The model and the
method can be used for numerical study of different processes in thin composite
layers, such as shock load, ultrasound propagation, non-destructive testing
procedures, vibrations. The thin membrane is considered as 2D object in 3D
space, this approach allows to reduce computational time still having an
arbitrary material rheology and load profile.

Numerical Analysis;Numerical Analysis