• Contentsto.44em. (6)
• List of Figuresto.44em. (8)
• List of Tablesto.44em. (12)
• Chapter 1 Introduction to.44em. (13)
• Chapter 2 Reproducing Kernel Particle Method to.44em. (16)
  • 2.1 Review of 1D RKPM Formulation (16)
    • 2.1.1 Reproducing Equation (16)
    • 2.1.2 The 1th Derivative of Reproducing Equation (18)
    • 2.1.3 RKPM Shape Function and their Derivative (19)
    • 2.1.4 Example of 1D RKPM Shape Function (20)
    • 2.1.5 Function Reconstruction (20)
  • 2.2 Review of 2D RKPM Formulation (26)
    • 2.2.1 2D RKPM (26)
    • 2.2.2 Example of 2d Shape Functions RKPM (27)
    • 2.2.3 Function Reproducing (27)
  • 2.3 Assign Essential Boundary Condition With Collocation (30)
  • 2.4 RKPM with Augmented Corrected Collocation (35)
• Chapter 3 Solving Some Problems in a RKPM Framework to.44em. (39)
  • 3.1 1D-Advection Diffusion (39)
  • 3.2 Two Dimensional Differential Equation (42)
  • 3.3 Modeling of Euler-Bernoulli in One Dimensional RKPM (43)
  • 3.4 Modeling Of Crack in Two Dimensional RKPM (46)
• Chapter 4 Review Of Beam Theories to.44em. (55)
  • 4.1 The Thin and Thick Beam Theories Hypotheses (55)
  • 4.2 Two Dimensional Elastic Beam (57)
  • 4.3 Separate The Phase of Thin and Thick Nano Beam with Considering the Surface to Volume Ratio (58)
  • 4.4 The numerical modeling (59)
  • 4.5 Numerical Results (61)
• Chapter 5 Review of Surface/Interface Elasticity to.44em. (63)
  • 5.1 Definition of Laminated Beam (64)
  • 5.2 Nano Laminated Beam Formulation with Surface/Interface Effect (65)
  • 5.3 Numerical Modeling (68)
  • 5.4 Numerical Results (69)
• Chapter 6 Review of Dislocation to.44em. (76)
  • 6.1 Modeling of Glide Edge Dislocation In RKPM (76)
  • 6.2 Review of Analytical Solution For Glide Edge Dislocation In Infinite Domain (78)
  • 6.3 Review of Analytical Solution For Glide Edge Dislocation In Bi-Material (80)
  • 6.4 Numerical Results (84)
• Chapter 7 Conclusion and Future Work to.44em. (89)
• AppendixChapter A to.44em. (90)
  • A.1 Spline Function (90)
  • A.2 Shurttleworth Formula (90)
• Bibliographyto.44em. (92)