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Preface
Introduction
Direct approach for Discrete Systems
Strong and Weak Forms for One-dimensional Problems
Approximation of Trial Solutions, Weight Functions and Gauss Quadrature for One-Dimensional Problems
Finite Element Formulation for One-Dimensional Problems
Strong and Weak Forms for Multi-Dimensional Scalar Field Problems
Approximation of Trial Solutions, Weight Functions and Gauss Quadrature for Multi-Dimensional Problems
Finite Element Formulation for Multi Dimensional Scalar Field Problems
Finite Element Formulation for Vector Field Problems - Linear Elasticity
Finite Element Formulation for Beams
Commercial Finite Element Program ABAQUS Tutorials
Appendix
Index
Table of Contents provided by Publisher. All Rights Reserved.
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Developed from the authors, combined total of 50 years undergraduate and graduate teaching experience, this book presents the finite element method formulated as a general-purpose numerical procedure for solving engineering problems governed by partial differential equations. Focusing on the formulation and application of the finite element method through the integration of finite element theory, code development, and software application, the book is both introductory and self-contained, as well as being a hands-on experience for any student. This authoritative text on Finite Elements: Adopts a generic approach to the subject, and is not application specific In conjunction with a web-based chapter, it integrates code development, theory, and application in one book Provides an accompanying Web site that includes ABAQUS Student Edition, Matlab data and programs, and instructor resources Contains a comprehensive set of homework problems at the end of each chapter Produces a practical, meaningful course for both lecturers, planning a finite element module, and for students using the text in private study. A First Course in Finite Elements is the ideal practical introductory course for junior and senior undergraduate students from a variety of science and engineering disciplines. The accompanying advanced topics at the end of each chapter also make it suitable for courses at graduate level, as well as for practitioners who need to attain or refresh their knowledge of finite elements through private study.
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