论文标题
什么是剪切波
What is Shear Wave
论文作者
论文摘要
这项研究表明，剪切波的传统定义破坏了剪切应力互惠。通过分析剪切波的位移场和材料元件的运动方程，发现位移场与局部刚体旋转有关，并且在经典的连续性力学中假定的应力状态无法平衡局部刚体旋转。还发现，由剪切变形引起的位移场既不是差异，也不是旋转的，它被波动方程推导过程中局部刚体旋转引起的位移场被取代。这表明剪切波的定义超出了连续力学的基本假设。该研究根据传统定义的剪切波修改了本构之间的关系和弹性张量是客观的。还得出了与剪切波相对应的运动方程。从传统剪切波的定义得出结论，局部刚体旋转应造成压力，而剪切应力互惠并不是非极性连续体的先决条件。
This study shows that the traditional definition of shear wave breaks the shear stress reciprocity. By analyzing the displacement field for shear wave and the motion equation of material element, it is found that the displacement field is related to local rigid body rotation, and the local rigid body rotation cannot be balanced by the stress state assumed in classical continuum mechanics. It is also found that the displacement field caused by shear deformation, which is neither divergence nor rotation, is replaced with that caused by local rigid body rotation during the derivation of wave equation. This indicates that the definition of shear wave is beyond the basic assumption of continuum mechanics. The study modified the constitutive relation and elastic tensor based on that the traditionally defined shear wave is objective. The motion equation corresponding to shear wave is also derived. It is concluded from the definition of traditional shear wave that the local rigid body rotation should contribute stress and the shear stress reciprocity is not prerequisite for nonpolar continuum.
