Simulation Based Engineering in Solid Mechanics
This book begins with a brief historical perspective of the advent of rotating machinery in 20th century Solid Mechanics and the development of the discipline of the Strength of Materials. High Performance Computing (HPC) and Simulation Based Engineering Science (SBES) have gradually replaced the co...
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| Main Author | |
|---|---|
| Format | Electronic eBook |
| Language | English |
| Published |
Cham, Switzerland :
Springer,
2016.
|
| Subjects | |
| Online Access | Full text |
| ISBN | 9783319476148 9783319476131 |
| Physical Description | 1 online resource (xiv, 200 pages) |
Cover
Table of Contents:
- Preface.- Introduction.- 1.1 Matrices.- 1.2 Vectors and Tensors.- 1.3 Energy Principle.- 2 Continuous Solid.- 2.1 External and Internal Tractions.- 2.2. Stress Definition.- 2.3. Equilibrium Relations.- 2.4. Strain.- 2.5. Stress
- Strain Relations.- 2.6 Strain Energy and Work.- 2.7 Von Mises Stress.- 3 Euler-Lagrange Equations.- 3.1 General Approach for solving Structural Problems.- 3.2 Other Applications of Euler-Lagrange Equation leading to Optimization.- 3.3 Derivation of Euler-Lagrange Equation through Delta Operator.- 4 Axially Loaded 1-D Structures.- 4.1 Simply Supported Bar.- 4.2 Simply Supported
- Free Bar.- 4.3 Finite Element Method.- 4.4 Thermal Stresses.- 4.5 Principle of Virtual Work.- 4.6 Minimization of Total Potential Energy.- 5 Twisting of a Rod.- 5.1 Finite Element Method for Torsion.- 5.2 Two Elements and Stiffness Matrix Assembly.- 5.3 Ritz Method for Torsion.- 6 Bending of a Beam.- 6.1 Bending by Energy Method.- 6.2 Beam with Axial Load (Beam-Column).- 6.3 Strength of Materials Approach.- 6.4 Beam Solution by Energy Method.- 6.5 Beam Finite Element.- 6.6 Buckling revisited.- 6.7 Galerkin Method for Tapered Beams.- 6.8 General Structures by Commercial Solvers.- 7. Epilogue.- Acknowledgements.- Index.