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Finite Element Analysis (FEA) is a tool used for the evaluation of structures and systems, providing an accurate prediction of a component’s response subjected to various types of loads (such as mechanical force, thermal/transient and vibration). focuses on the basic of the finite element method theory. Theory and Applications of Finite Element . The Finite Element Method in Engineering, Sixth Edition, provides a thorough grounding in the mathematical principles behind the Finite Element Analysis technique—an analytical engineering tool originated in the 1960's by the aerospace and nuclear power industries to find usable, approximate solutions to problems with many complex variables. J.N. Fundamentals of Finite Element Method by David V Hutton. by Hutton, David (ISBN: 9780072922363) from Amazon's Book Store. including energy principle. Reddy's, An Introduction to the Finite Element Method, third edition is an update of one of the most popular FEM textbooks available. 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