Notes on Numerical Modeling in Geomechanics

Notes on Numerical Modeling in Geomechanics

Pariseau, William G.

Taylor & Francis Ltd

03/2022

278

Dura

Inglês

9780367762834

15 a 20 dias

698

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1. Introduction. 2. Interpolation Over a Triangle. 3. Derivatives of Interpolation Functions. 4. Linear Interpolation Over a Quadrilateral. 5. Derivatives for a Linear Displacement Quadrilateral. 6. Element Equilibrium and Stiffness. 7. Global Equilibrium and Global Stiffness. 8. Static Condensation and a 4CST Element. 9. Equation Solving. 10. Material Nonlinearity. 11. Time Integration. 12. Finite Element Seepage Formulation. 13. Hydro-mechanical Coupling. 14. Boundary Element Formulations. 15. Distinct Element Formulations. 16. Conclusion. Appendix A: Review of Fundamental Concepts. Appendix B: Study Questions. Appendix C: Question Replies.
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Seepage Analysis;Interpolation Functions;Constant Strain Triangles;Finite Element Form;Global Node Numbers;Follow;Strain Displacement Relations;Stiffness Matrix;Global Stiffness Matrix;Displacement Interpolation Functions;BEM;Fluid Stress;Gauss Seidel Iteration;Node Displacements;Elastic Plastic Analysis;Hydraulic Conductivity;DEM;Displacement Vector;Nod;Element Stiffness Equation;DEM Analysis;Double Subscript Notation;Linear Strain Triangle;Tangent Stiffness;Newton Raphson Iteration