变形Mooney-Rivlin材料中的振幅非均匀平面波
Finite-amplitude inhomogeneous plane waves in a deformed Mooney-Rivlin material
摘要：
研究了有限振幅线偏振非均匀横向平面波在Mooney-Rivlin材料中的传播。它表明，这样的波是可能的，提供的方向的法线的平面的恒定相位和法线的平面的恒定振幅是正交的和共轭的B-椭球，其中B是左柯西-格林应变张量对应于初始变形。对于这些波，它被发现，即使该系统是非线性的，能量通量的结果仍然是相同的经典线性弹性理论中的相应结果。副产品的结果是新的精确的静态解的Mooney-Rivlin材料。
英文摘要：
The propagation of finite-amplitude linearly-polarized inhomogeneous transverse plane waves is considered for a Mooney-Rivlin material maintained in a state of finite static homogeneous deformation. It is shown that such waves are possible provided that the directions of the normal to the planes of constant phase and of the normal to the planes of constant amplitude are orthogonal and conjugate with respect to the B-ellipsoid, where B is the left Cauchy-Green strain tensor corresponding to the initial deformation. For these waves, it is found that even though the system is non-linear, results on energy flux are nevertheless identical with corresponding results in the classical linearized elasticity theory. Byproducts of the results are new exact static solutions for the Mooney-Rivlin material.
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。
