By Felippa C.
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Extra resources for Advanced finite element methods
Washizu, Variational Methods in Elasticity and Plasticity, Pergamon Press, 1972 (2nd expanded edition 1981). With an encyclopœdic coverage of the title subject, this is a good reference monograph. Drawbacks are the flat exposition style (there is no unifying, lifting theme a la Lanczos) and the cost (since it is out of print — Washizu passed away in 1985 — used copies, if found on the Internet, go for over $150). R. Weinstock, Calculus of Variations, with Applications to Physics and Engineering, McGraw-Hill, 1952.
1. Introduction We move now from the easy ride of Poisson problems and Bernoulli-Euler beams to the tougher road of elasticity in three dimensions. This Chapter summarizes the governing equations of linear elastostatics. Various notational systems are covered in sufficient detail to help readers with the literature of the subject, which is enormous and spans over two centuries. The governing equations are displayed in a Strong Form Tonti diagram.
E. , Wiley, New York, 1989. ) The most readable FEM-oriented treatment from a mathematical standpoint is still the excellent monograph by Strang and Fix: G. Strang and G. Fix, An Analysis of the Finite Element Method. Prentice-Hall, 1973. Out of print. Available on the Internet as used book in range $100-$250. Engineers should avoid any “FEM math” book other than Strang-Fix unless they are confortable with advanced functional analysis. 9 A 5th edition in several volumes has appeared in the late 1990s.
Advanced finite element methods by Felippa C.