论文标题

动态载荷下薄各向异性复合膜的数值建模

Numerical modeling of thin anisotropic composite membrane under dynamic load

论文作者

Aksenov, Vitalii, Vasyukov, Alexey, Petrov, Igor

论文摘要

这项工作旨在描述一种数学模型和一种数值方法,以模拟薄薄的各向异性复合膜移动和在3D空间中的变形,并在任意时间和空间轮廓的动态载荷下进行。当准静态近似无效时,该模型和方法允许考虑问题,应计算由撞击引起的弹性波。该模型和该方法可用于薄复合层中不同过程的数值研究,例如冲击负载,超声传播,非破坏性测试程序,振动。薄膜被认为是3D空间中的2D对象,此方法允许减少具有任意材料流变和负载曲线的计算时间。

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.

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