The Finite Element Method in Thermomechanics

1. Front Matter

   Pages iii-xix

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2. Fundamentals of the Finite Element Method

   • Tai-Ran Hsu

   Pages 1-22

3. Finite Element Analysis in Heat Conduction

   • Tai-Ran Hsu

   Pages 23-52

4. Thermoelastic-Plastic Stress Analysis

   • Tai-Ran Hsu

   Pages 53-112

5. Creep Deformation of Solids by Finite Element Analysis

   • Tai-Ran Hsu

   Pages 113-124

6. Elastic-Plastic Stress Analysis with Fourier Series

   • Tai-Ran Hsu

   Pages 125-151

7. Elastodynamic Stress Analysis with Thermal Effects

   • Tai-Ran Hsu

   Pages 152-163

8. Thermofracture Mechanics

   • Tai-Ran Hsu

   Pages 164-221

9. Thermoelastic-Plastic Stress Analysis by Finite Strain Theory

   • Tai-Ran Hsu

   Pages 222-252

10. Coupled Thermoelastic-Plastic Stress Analysis

    • Tai-Ran Hsu

    Pages 253-273

11. Application of Thermomechanical analyses in Industry

    • Tai-Ran Hsu

    Pages 274-295

12. Back Matter

    Pages 296-391

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The rapid advances in the nuclear and aerospace technologies in the past two decades compounded with the increasing demands for high performance, energy-efficient power plant components and engines have made reliable thermal stress analysis a critical factor in the design and operation of such equipment. Recently, and as experienced by the author, the need for sophis­ ticated analyses has been extended to the energy resource industry such as in-situ coal gasification and in-situ oil recovery from oil sands and shales. The analyses in the above applications are of a multidisciplinary nature, and some involve the additional complexity of multiphase and phase change phenomena. These extremely complicated factors preclude the use of classical methods, and numerical techniques such as the finite element method appear to be the most viable alternative solution. The development of this technique so far appears to have concentrated in two extremes; one being overly concerned with the accuracy of results and tending to place all effort in the implementation of special purpose element concepts and computational algorithms, the other being for commercial purposes with the ability of solving a wide range of engineering problems. However, to be versatile, users require substantial training and experience in order to use these codes effectively. Above all, no provision for any modifi­ cation of these codes by users is possible, as all these codes are proprietary and access to the code is limited only to the owners.

• deformation
• elasticity
• energy
• finite element method
• fracture
• fracture mechanics
• growth
• material
• mechanics
• plasticity
• simulation
• solid
• stress
• thermal analysis
• thermomechanics

• Department of Mechanical Engineering, University of Manitoba, Winnipeg, Canada

  Tai-Ran Hsu

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