Fundamentals of finite element analysis

This new text, intended for the senior undergraduate finite element course in mechanical, civil and aerospace engineering departments, gives students a solid, practical understanding of the principles of the finite element method within a variety of engineering applications.

Hutton discusses basic theory of the finite element method while avoiding variational calculus, instead focusing upon the engineering mechanics and mathematical background that may be expected of senior engineering students. The text relies upon basic equilibrium principles, introduction of the principle of minimum potential energy, and the Galerkin finite element method, which readily allows application of finite element analysis to nonstructural problems.

The text is software-independent, making it flexible enough for use in a wide variety of programs, and offers a good selection of homework problems and examples.

A Book Website is also included, with PowerPoint images of key figures; complete problem solutions (password protected); the FEPC finite element program for student use; instructions on FEPC and its use with the text; and links to commercial FEA sites.

Contents

• Basic Concepts of the Finite Element Method
• Stiffness Matrices, Spring and Bar Elements
• Truss Structures: The Direct Stiffness Method
• Flexure Elements
• Method of Weighted Residuals
• Interpolation Functions for General Element Formulation
• Applications in Heat Transfer
• Applications in Fluid Mechanics
• Applications in Solid Mechanics
• Structural Dynamics
• Appendices

• Index