Short Course: Numerical Analysis of Peridynamics and Ultrasonics

 

Introduction:
We understand the importance of building relationships and the visibility and reputation of your research group. In response to numerous inquiries from researchers, students, and professors regarding the numerical analysis of peridynamics theory, our group is delighted to offer a comprehensive online course that focuses on writing your own computer code in Peridynamics. With our leading role in the rise of peridynamics and ultrasonics, our goal is to provide individuals and teams with the necessary education and training to excel in this field. Our course will guide you through the latest advancements and numerical approaches in Peridynamics and Ultrasonics. For further information, please contact us.

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Course Overview:
Our courses are designed to help you review and expand your knowledge of essential concepts in Non-Destructive Testing (NDT) - Ultrasonic Testing (UT). Through a thorough examination of analytical, numerical, and experimental research works, you will gain awareness of areas that require further study. These courses are intended to supplement your personal studies and provide a comprehensive understanding of the subject matter.

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Course Content:
This course focuses on theoretical concepts and the analysis of wave problems in science and engineering. Examples are carefully chosen from elasticity, acoustics, nondestructive evaluation, and other relevant applications. Additionally, the course delves into numerical modeling for linear and nonlinear ultrasonics.

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Reference Textbook:
Kundu, T. (2019). Mechanics of Elastic Waves and Ultrasonic Nondestructive Evaluation. CRC Press.

While the course is comprehensive and provides in-depth knowledge for engineers and researchers, it is important to note that it should not be considered the sole source for success.

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Syllabus:
The course covers a range of topics, including:

• Ultrasonic Testing: Acoustic impedance and reflection coefficient; refraction and mode conversion; sound velocity and time of flight; transducer properties such as bandwidth and Q factor; near and far field calculations; sound-path distance and thickness measurement, and more.

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Upon completion of this course, you will have reviewed:

• The basic principles and theory related to Ultrasonic Testing

• The classes of equipment and materials commonly used in UT.

• Typical responses encountered during Ultrasonic Testing applications.

• How to extract procedural requirements from specifications and standards

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Key Features:

• Introduction to both Linear and Nonlinear ultrasonic techniques in a single course

• Commencement with basic definitions of displacement, displacement gradient, traction, and stress

• Step-by-step derivations of fundamental equations of mechanics, as well as linear and nonlinear wave propagation analysis

• Comprehensive discussion of basic theory alongside detailed NDE applications

•  Abundance of example and exercise problems, accompanied by an extensive solutions manual

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