Phase Correction for Ultrasonic Bulk Wave Measurements of Elastic Constants in Anisotropic Materials

Anisotropic Elasticity offers for the first time a comprehensive survey of the analysis of anisotropic materials that can have up to twenty-one elastic constants. Focusing on the mathematically elegant and technically powerful Stroh formalism as a means to understanding the subject, the author tackles a broad range of key topics, including antiplane deformations, Green's functions, stress singularities in composite materials, elliptic inclusions, cracks, thermo-elasticity, and piezoelectric materials, among many others. Well written, theoretically rigorous, and practically oriented, the book will be welcomed by students and researchers alike.

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The elastic constants of anisotropic materials—II

Advances In Physics ◽

10.1080/00018732.1956.tadp0323 ◽

1956 ◽

Vol 5 (19) ◽

pp. 323-382 ◽

Cited By ~ 241

Author(s):

R.F.S. Hearmon

Keyword(s):

Elastic Constants ◽

Anisotropic Materials

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Mathematical methods for the characterization of ultrasound in anisotropic materials

Canadian Journal of Physics ◽

10.1139/p00-054 ◽

2000 ◽

Vol 78 (9) ◽

pp. 803-821 ◽

Cited By ~ 3

Author(s):

B O'Neill ◽

R Gr. Maev

Keyword(s):

Wave Propagation ◽

Acoustic Waves ◽

Asymptotic Theory ◽

Anisotropic Materials ◽

Bulk Wave ◽

Mathematical Methods ◽

Theoretical Methods ◽

The Past ◽

Fundamental Equations

Although the fundamental equations for the propagation of elastic and acoustic waves in anisotropic materials have not changed in more than a 100 years, the last few decades have seen a surge in interest in the topic. Much of this interest stems from the growing need for characterization of an increasing number of exotic materials. The intent of this paper is to review, for the benefit of beginning researchers in acoustics and ultrasonics, the fundamental phenomena related to elastic wave propagation in anisotropic media. We also present the most common and interesting theoretical methods developed over the past 20 years to model bulk wave propagation in such media. The methods discussed include plane wave superpositions, ray asymptotic theory, paraxial beams, and Green's functions. More peripheral issues, including anisotropic effects combined with various other exotic effects, are dealt with in the bibliography. PACS No.: 43.90

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Ultrasonic Bulk Waves Measurements for Defect Detection of Composite Materials

Solid State Phenomena ◽

10.4028/www.scientific.net/ssp.268.401 ◽

2017 ◽

Vol 268 ◽

pp. 401-406

Author(s):

Nurul Wahida Zainal Abidin Sham ◽

Md Supar Rohani

Keyword(s):

Composite Material ◽

Defect Detection ◽

Calculation Method ◽

Material Model ◽

Test Material ◽

Bottom Surface ◽

Bulk Wave ◽

Multilayered Composite ◽

Wave Measurements ◽

Percentage Difference

The defect detection in composite material is important for its quality control where the hidden defect such as crack, corrosion, notch, holes, void and porosity can develop. In this paper, the ultrasonic bulk wave measurements of longitudinal and shear waves are used to identify defect in the multilayered composite material. This study employs pulse echo technique and utilized angle beam transducer. The composite material model investigated in this contribution are made of 24 mm and 12 mm thick Aluminium plates with a width of 100 mm and a length of 203 mm which are separated with an approximately 1 mm thick oil layer. A simulated defect is created in the composite test material by drilling a hole with 2.5 mm diameter and 3 mm depth on the bottom surface of the third layer material. Finding indicates that the defect is located at 53.39 mm from transducer and the percentage difference of the defect location compared to the calculation method is 7%. It indicates that the proposed method can be use to detect defect in multilayered composite material within 10% accuracy compared to the calculation method.

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Identification of the parameters of the quadratic model of the elastic anisotropic material

Вестник Чувашского государственного педагогического университета им. И.Я. Яковлева. Серия: Механика предельного состояния ◽

10.37972/chgpu.2021.49.3.001 ◽

2021 ◽

pp. 3-11

Author(s):

Ши Тоан Нгуен ◽

Дмитрий Викторович Христич

Keyword(s):

Elastic Constants ◽

Anisotropic Material ◽

Orthotropic Material ◽

Composite Plates ◽

Anisotropic Materials ◽

Second Order ◽

Quadratic Model ◽

Linearly Independent ◽

Proposed Model ◽

The Difference

Рассмотрена модель упругости второго порядка для ортотропного материала. Проведенный анализ показывает, что квадратичная часть предложенной модели содержит тринадцать упругих постоянных, из которых девять являются линейно независимыми. Параметры модели определены по данным экспериментов с композитными пластинами. Модель позволяет описывать наблюдаемые в экспериментах нелинейные зависимости между напряжениями и деформациями в процессах растяжения, сжатия и сдвига, а также разносопротивляемость анизотропных материалов. A second-order elasticity model for an orthotropic material is considered. The analysis shows that the quadratic part of the proposed model contains thirteen elastic constants, nine of which are linearly independent. The parameters of the model are determined from the data of experiments with composite plates. The model allows one to describe experimentally observed nonlinear dependences of stresses and strains in the processes of tension, compression, and shear, as well as the difference in resistance of anisotropic materials.

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