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The finite element method reigns as the dominant technique for
modeling mechanical systems. Originally developed to model
electromagnetic systems, the Transmission Line Matrix (TLM) method
proves to match, and in some cases exceed, the effectiveness of
finite elements for modeling several types of physical systems.
Transmission Line Matrix in Computational Mechanics provides a
tutorial approach to applying TLM for modeling mechanical and other
physical systems. Transmission Line Matrix in Computational
Mechanics begins with the history of TLM, an introduction to the
theory using mechanical engineering concepts, and the
electromagnetic basics of TLM. The authors then demonstrate the
theory for use in acoustic propagation, along with examples of
MATLAB(R) code. The remainder of the book explores the application
of TLM to problems in mechanics, specifically heat and mass
transfer, elastic solids, simple deformation models, hydraulic
systems, and computational fluid dynamics. A discussion of
state-of-the-art techniques concludes the book, offering a look at
the current research undertaken by the authors and other leading
experts to overcome the limitations of TLM in applying the method
to diverse types of systems. This valuable reference introduces
students, engineers, and researchers to a powerful, accurate, and
stable alternative to finite elements, providing case studies and
examples to reinforce the concepts and illustrate the applications.
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