ABSTRACT

THE FINITE ELEMENT METHOD : Basic Concepts and ApplicationsDarrell Pepper, Advanced Projects Research, Inc. California, and Dr . JuanHeinrich, University of Arizona, TucsonTh i s introductory textbook is designed for use in undergraduate, graduate, andshort courses in structural engineering and courses devoted specifically to thefinite element method. This method is rapidly becoming the most widely usedstandard for numerical approximation for partial differential equations definingengineering and scientific problems.The authors present a simplified approach to introducing the method and a coherentand easily digestible explanation of detailed mathematical derivations andtheory Example problems are included and can be worked out manually Anaccompanying floppy disk compiling computer codes is included and required forsome of the multi-dimensional homework problems.

part 1|181 pages

Foundations of Solid Mechanics and Variational Methods

chapter 1|63 pages

Theory of Linear Elasticity

chapter 2|45 pages

Introduction to the Calculus of Variations

chapter 3|71 pages

Variational Principles of Elasticity

part 2|272 pages

Structural Mechanics

chapter 4|44 pages

Beams

chapter 5|28 pages

Torsion

chapter 6|66 pages

Classical Theory of Plates

chapter 7|69 pages

Dynamics of Beams and Plates

chapter 8|63 pages

Elastic Stability

part 3|254 pages

Finite Elements

chapter 9|30 pages

Introduction to Finite Elements

chapter 10|23 pages

Finite Elements for Beams

chapter 11|33 pages

Elements and Interpolation Functions

chapter 12|31 pages

Plane Stress

chapter 13|41 pages

Finite Elements For Plates

chapter 14|13 pages

Torsion

chapter 15|15 pages

Finite Elements for Elastic Stability

chapter 16|16 pages

Finite Elements For Dynamics

chapter 17|50 pages

Broader Aspects of Finite Elements