Introduction To The Finite Element Method

 This book is an introduction to the analysis of linear elastic structures by the Finite Element Method

(FEM). It embodies three Parts:

I Finite Element Discretization: Chapters 2-11. This part provides an introduction to the discretization and analysis of skeletal structures by the Direct Stiffness Method.

II Formulation of Finite Elements: Chapters 12-20. This part presents the formulation of displacement assumed elements in one and two dimensions.

III Computer Implementation of FEM: Chapters 21-28. This part uses Mathematica as the implementation language.

This Chapter presents an overview of where the book fits, and what finite elements are.

1.1. WHERE THIS MATERIAL FITS

The field of Mechanics can be subdivided into three major areas:
Mechanics
Theoretical
Applied
Computational
(1.1)
Theoretical mechanics deals with fundamental laws and principles of mechanics studied for their
intrinsic scientific value. Applied mechanics transfers this theoretical knowledge to scientific and
engineering applications, especially as regards the construction of mathematical models of physical
phenomena. Computational mechanics solves specific problems by simulation through numerical
methods implemented on digital computers. http://freebooks-me.blogspot.com/2016/06/introduction-to-finite-element-method.html

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