A Project-Based Introduction to Computational Statics

1. Front Matter

   Pages i-xv

   PDF

2. Introduction and Problem Formulation

   • Andreas Öchsner

   Pages 1-8

3. Review of Analytical Mechanics

   • Andreas Öchsner

   Pages 9-66

4. Finite Element Method

   • Andreas Öchsner

   Pages 67-204

5. Outlook: Two- and Three-Dimensional Elements

   • Andreas Öchsner

   Pages 205-207

6. Back Matter

   Pages 209-222

   PDF

This book uses a novel concept to teach the finite element method, applying it to solid mechanics. This major conceptual shift takes away lengthy theoretical derivations in the face-to-face interactions with students and focuses on the summary of key equations and concepts; and to practice these on well-chosen example problems. The theoretical derivations are provided as additional reading and students must study and review the derivations in a self-study approach. The book provides the theoretical foundations to solve a comprehensive design project in tensile testing. A classical clip-on extensometer serves as the demonstrator on which to apply the provided concepts. The major goal is to derive the calibration curve based on different approaches, i.e., analytical mechanics and based on the finite element method, and to consider further design questions such as technical drawings, manufacturing, and cost assessment. Working with two concepts, i.e., analytical and computational mechanics strengthens the vertical integration of knowledge and allows the student to compare and understand the different concepts, as well as highlighting the essential need for benchmarking any numerical result. 

• Computational Statics textbook
• Finite Element Method
• FEM in solid mechanics
• tensile testing
• clip-on extensometer
• vertical knowledge integration of mechanics

• Griffith School of Engineering, Griffith University, Southport, Australia

  Andreas Öchsner

Andreas Öchsner is a Full Professor at the School of Engineering, Griffith University, Australia and Leader of the Mechanical Engineering Program (Head of Discipline and Program Director). Having obtained a Dipl.-Ing. degree in Aeronautical Engineering at the University of Stuttgart (1997), Germany, he served as a research and teaching assistant at the University of Erlangen-Nuremberg from 1997 to 2003 while working to complete his Doctor of Engineering Sciences (Dr.-Ing.) degree. From 2003 to 2006, he was an Assistant Professor at the Department of Mechanical Engineering and Head of the Cellular Metals Group affiliated with the University of Aveiro, Portugal. He spent seven years (2007–2013) as a Full Professor at the Department of Applied Mechanics, Technical University of Malaysia, where he was also Head of the Advanced Materials and Structure Lab.

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