Heyliger Paul R, Ledbetter Hassel, Kim Sudook, Reimanis Ivar
Department of Civil Engineering, Colorado State University, Fort Collins, Colorado 80523, USA.
J Acoust Soc Am. 2003 Nov;114(5):2618-25. doi: 10.1121/1.1618754.
The individual laminae elastic constants in multilayer laminates composed of dissimilar isotropic layers were determined using ultrasonic-resonance spectroscopy and the linear theory of elasticity. Ultrasonic resonance allows one to measure the free-vibration response spectrum of a traction-free solid under periodic vibration. These frequencies depend on pointwise density, laminate dimensions, layer thickness, and layer elastic constants. Given a material with known mass but unknown constitution, this method allows one to extract the elastic constants and density of the constituent layers. This is accomplished by measuring the frequencies and then minimizing the differences between these and those calculated using the theory of elasticity for layered media to select the constants that best replicate the frequency-response spectrum. This approach is applied to a three-layer, unsymmetric laminate of WpCu, and very good agreement is found with the elastic constants of the two constituent materials.
利用超声共振光谱法和线性弹性理论，测定了由不同各向同性层组成的多层板中各单层的弹性常数。超声共振使人们能够测量无牵引固体在周期性振动下的自由振动响应谱。这些频率取决于逐点密度、层压板尺寸、层厚度和层弹性常数。对于一种质量已知但组成未知的材料，该方法可以提取组成层的弹性常数和密度。这是通过测量频率，然后最小化这些频率与使用层状介质弹性理论计算的频率之间的差异来实现的，以选择最能复制频率响应谱的常数。该方法应用于WpCu三层非对称层压板，发现与两种组成材料的弹性常数非常吻合。
