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Thesis Babak Shariatzadeh.pdf
Overview and Classification of Meshfree Methods
(16)
1.1. Introduction
(16)
Chapter 2 Overview of Reproducing Kernel Particle Method (RKPM)
(28)
2.1. Introduction
(28)
Chapter 3 Determination of particle volume and dilation parameter for each node
(57)
3.1. Determination of particle volume
(57)
3.2. Determination of dilation parameter (support domain)
(59)
Chapter 4 Correction of the shape function for discontinuous domains
(61)
4.1. Visibility Criterion for Discontinuous Approximations
(61)
Chapter 5 Application of essential boundary conditions in RKPM formulation
(68)
5.1. Introduction
(68)
5.2. Variational formulation and discretization:
(68)
5.3. The penalty method
(77)
,.,,-.−,,.-..
(77)
5.4. The Corrected Collocation Method
(79)
Chapter 6 Dipolar gradient elasticity
(86)
6.1. Introduction
(86)
6.2. Strain Gradient Elasticity
(87)
Chapter 7 Concepts of crack in fracture mechanics
(94)
7.1. Introduction
(94)
7.2. Stress Intensity Factor (SIF)
(94)
7.3. J integral
(95)
Chapter 8 Applying Essential Boundary condition in RKPM
(97)
Chapter 9 Numerical example of Strain Gradient Elasticity with RKPM
(106)
Chapter 10 Numerical Modeling of Fracture Mechanics with RKPM and Strain Gradient Elasticity
(110)
Chapter 11 Simulation and Results of Crack in Nanoscale
(128)
Chapter 12 Conclusion and recommendation
(143)