各向异性和色散波在应变梯度结构中的传播
Anisotropic and dispersive wave propagation within strain-gradient framework
摘要：
本文研究了线性应变梯度弹性中各向异性和色散波的传播。这一分析揭示了连续弹性理论的重要特征。首先，与经典弹性力学相反，波在六方晶格（手征或非手征）中的传播随着频率的增加而变得各向异性。其次，由于应变梯度弹性是分散的，群速度和能量速度必须被视为不同的量。这些点首先从理论上推导，然后在六方手性和非手性晶格上进行数值计算。使用连续体模型来描述这些微结构材料的高频行为在工程应用中可以引起极大的兴趣，使得具有复杂几何形状的问题更容易处理。
英文摘要：
In this paper anisotropic and dispersive wave propagation within linear strain-gradient elasticity is investigated. This analysis reveals significant features of this extended theory of continuum elasticity. First, and contrarily to classical elasticity, wave propagation in hexagonal (chiral or achiral) lattices becomes anisotropic as the frequency increases. Second, since strain-gradient elasticity is dispersive, group and energy velocities have to be treated as different quantities. These points are first theoretically derived, and then numerically experienced on hexagonal chiral and achiral lattices. The use of a continuum model for the description of the high frequency behavior of these microstructured materials can be of great interest in engineering applications, allowing problems with complex geometries to be more easily treated.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
