Numerical Modeling of a Nano Crack in Fcc Solids Using RKPM Based Dipolar Gradient Elasticity, M.Sc. Thesis Sharif University of Technology ; Mohammadi Shodja, Hosain (Supervisor)
Abstract
In many structures, crack creation is one of the most significant fracture mechanisms. To predict these fracture mechanisms accurate numerical modeling is necssary. Finite Element Method (FEM) is one of the substantial methods in analysis of numerical fracture problems in recent past decades. But, this method has difficulties in remeshing of elements in each step of calculation in fracture mechanics or large deformation analysis. Therefore, the theory was defined that, without using elements, just with setting of characteristics nodes in geometry of problem, the differential equations can be solved. These methods are called Meshfree or Meshless methods. RKPM is a new meshfree method for...
Cataloging briefNumerical Modeling of a Nano Crack in Fcc Solids Using RKPM Based Dipolar Gradient Elasticity, M.Sc. Thesis Sharif University of Technology ; Mohammadi Shodja, Hosain (Supervisor)
Abstract
In many structures, crack creation is one of the most significant fracture mechanisms. To predict these fracture mechanisms accurate numerical modeling is necssary. Finite Element Method (FEM) is one of the substantial methods in analysis of numerical fracture problems in recent past decades. But, this method has difficulties in remeshing of elements in each step of calculation in fracture mechanics or large deformation analysis. Therefore, the theory was defined that, without using elements, just with setting of characteristics nodes in geometry of problem, the differential equations can be solved. These methods are called Meshfree or Meshless methods. RKPM is a new meshfree method for...
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