Numerical modeling of thin anisotropic composite membrane under dynamic load

TL;DR

This paper presents a mathematical model and numerical method for simulating the dynamic deformation of thin anisotropic composite membranes in 3D, accounting for elastic waves and arbitrary loads, useful for various engineering applications.

Contribution

It introduces a novel 2D in 3D modeling approach that efficiently captures dynamic responses of anisotropic membranes under complex loads.

Findings

Model accurately simulates elastic wave propagation.

Method reduces computational time for 3D dynamic problems.

Applicable to shock, ultrasound, and vibration analyses.

Abstract

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.