The finite element method (FEM) is the dominant tool for numerical
analysis in engineering, yet many engineers apply it without fully
understanding all the principles. Learning the method can be
challenging, but Mike Gosz has condensed the basic mathematics,
concepts, and applications into a simple and easy-to-understand
reference. Finite Element Method: Applications in Solids,
Structures, and Heat Transfer navigates through linear, linear
dynamic, and nonlinear finite elements with an emphasis on building
confidence and familiarity with the method, not just the
procedures. This book demystifies the assumptions made, the
boundary conditions chosen, and whether or not proper failure
criteria are used. It reviews the basic math underlying FEM,
including matrix algebra, the Taylor series expansion and
divergence theorem, vectors, tensors, and mechanics of continuous
media. The author discusses applications to problems in solid
mechanics, the steady-state heat equation, continuum and structural
finite elements, linear transient analysis, small-strain
plasticity, and geometrically nonlinear problems. He illustrates
the material with 10 case studies, which define the problem,
consider appropriate solution strategies, and warn against common
pitfalls. Additionally, 35 interactive virtual reality modeling
language files are available for download from the CRC Web site.
For anyone first studying FEM or for those who simply wish to
deepen their understanding, Finite Element Method: Applications in
Solids, Structures, and Heat Transfer is the perfect resource.
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