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® 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...

Preface. Introduction. TLM and the 1-D Wave Equation. The Theory of TLM: An Electromagnetic Viewpoint. TLM Modeling of Acoustic Propagation. TLM Modeling of Thermal and Particle Diffusion. TLM Models of Elastic Solids. Simple TLM Deformation Models. TLM Modeling of Hydraulic Systems. Application of TLM to Computational Fluid Mechanics. State of the Art Examples.