Enriched Numerical Techniques: Implementation and Applications explores recent advances in enriched numerical techniques, including the extended finite element method, meshfree methods, extended isogeometric analysis and coupled numerical techniques. Techniques for implementation and programming issues are discussed, with other sections discussing applications for enriched numerical techniques in solving a range of engineering problems. The level set methodologies for complex shaped irregularities is presented, as are enriched numerical methodologies for various complex and advanced problems such as Nonlinear Structural Analysis, Fracture and Fatigue in Structures, Elasto-Plastic Crack Growth, Large Deformation Analysis, Frictional Contact Problems, Thermo-Mechanical Problems, Fluid Flow Investigations, Composite Materials and Bio-mechanics.
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Table of Contents
1. Level set Methodologies for Complex Material Irregularities2. Higher-order Enrichment Functions for Fracture Simulation in Isotropic and Orthotropic Material Medium
3. XFEM for Three Dimensional Cracks
4. XFEM for Free Vibration Analyses of Cracked Plate Based on Higher-Order Shear Deformation Theory
5. XFEM for Stability Analysis of Stiffened Trapezoidal Composite Panels
6. Implementation Issues in Element Free Galerkin Method
7. Enriched EFGM for Three Dimensional Cracks
8. Enriched EFGM for Elasto-plastic Crack Growth in Steel Alloys
9. Enriched EFGM for Modelling Large Elasto-Plastic Deformations
10. Modelling of Hertzian Contact Problems by Enriched EFGM
11. Enriched EFGM for Large Elasto-Plastic Deformations: Basic Mathematical Foundations
12. Implementation Issues in Extended Iso-geometric Analysis
13. XIGA for Modelling Strong Discontinuities
14. XIGA for Linear Elastic Materials under Thermo-Mechanical Loading
15. XIGA for Thermal Absorber Coatings
16. Enriched Techniques for Investigating the Behavior of Structural Wood
17. Analysis of Fracture in a Receiver Tube of Parabolic Trough collectors by XFEM
18. XIGA for Fracture Behavior of Isothermally-Cracked SWCNT Reinforced Composite Subjected to Thermo-Mechanical Load
19. Extended Finite Element Method for the Simulation of Edge Dislocations