Felix Q Jin, Ned C Rouze, Kathryn R Nightingale, Mark L Palmeri
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引用次数: 0
Abstract
The stress-strain relation in a transversely isotropic (TI) material is described by five independent parameters. In the incompressible limit, only three parameters are required to describe shear wave propagation. Existing material parameterization models are not ideal for the analysis of wave propagation in the nearly incompressible TI (NITI) regime due to difficult-to-interpret parameters, complicated forms of the stiffness matrix elements, or the lack of five independent parameters. This study describes a new parameterization model for a general, TI material that uses the bulk modulus K, shear moduli μT and μL, a modulus-like term μE, and a new parameter η. In the proposed parameterization model, each parameter has a clear interpretation related to compressibility and shear wave propagation. The incompressible limit is represented by the limit K → ∞. Wave speeds and polarizations are derived and evaluated in both incompressible and NITI regimens. First-order NITI corrections are shown to be inversely proportional to the ratio of bulk modulus to shear moduli. In biological soft tissues, this ratio is approximately 106. NITI corrections depend on all five independent parameters; however, the small scale of these corrections validates previous studies that have assumed particular values for the parameter η.
横向各向同性(TI)材料的应力-应变关系由五个独立参数描述。在不可压缩极限下,只需三个参数即可描述剪切波的传播。由于参数难以解释、刚度矩阵元素形式复杂或缺乏五个独立参数,现有的材料参数化模型对于分析近不可压缩 TI(NITI)体系中的波传播并不理想。本研究描述了一般 TI 材料的新参数化模型,该模型使用了体积模量 K、剪切模量 μT 和 μL、模量样项 μE 以及新参数 η。在所提出的参数化模型中,每个参数都有与可压缩性和剪切波传播相关的明确解释。不可压缩极限用极限 K → ∞ 表示。推导并评估了不可压缩和 NITI 两种情况下的波速和极化。结果表明,一阶 NITI 修正与体积模量和剪切模量之比成反比。在生物软组织中,这一比率约为 106。NITI 修正取决于所有五个独立参数;然而,这些修正的规模较小,验证了之前假设参数 η 为特定值的研究。
期刊介绍:
Since 1929 The Journal of the Acoustical Society of America has been the leading source of theoretical and experimental research results in the broad interdisciplinary study of sound. Subject coverage includes: linear and nonlinear acoustics; aeroacoustics, underwater sound and acoustical oceanography; ultrasonics and quantum acoustics; architectural and structural acoustics and vibration; speech, music and noise; psychology and physiology of hearing; engineering acoustics, transduction; bioacoustics, animal bioacoustics.