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Simulation Investigation on Penetration Based on Element Free Galerkin Method

Author: RaoGang
Tutor: GongShuGuang
School: Xiangtan University
Course: Chemical Process Equipment
Keywords: Penetration Meshless Galerkin method EFG-FEM coupling method Negative volume Numerical Simulation Node arrangement Node density
CLC: O385
Type: Master's thesis
Year: 2011
Downloads: 30
Quote: 0
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Abstract


The piercing Research key areas of impact dynamics studies and military science and technology research. Need people to go in-depth study, the kinetic energy penetrators important development direction of future anti-tank weapons, and the advantages of numerical simulation method for its economy, can be repeated observation, is one of the important means of piercing study. In this paper, free Galerkin method for numerical simulation study of a rigid projectile penetrating the Target main contents are as follows: a paper piercing method development and research and free Galerkin method (Element Free Galerkin EFG negative volume) in practical engineering application, on the basis of analysis of the advantages and disadvantages of EFG law in regard to the finite element method, finite element method, the numerical simulation process often appears phenomenon of the the EFG algorithm to resolve this issue thoroughly the method. The elastoplastic state moving least squares approximation principle derived stress strain increment relations, the use of projectile and target system of three conservation laws and the initial state conditions deduced rigid projectile penetrating the thin target plate the control equation, given the the the Thin Target elastic-plastic deformation under the the penetration control equation EFG method numerical dispersion equations. Handling of boundary conditions and integration scheme selected, briefly discusses the the EFG method of calculation steps. Elaborated used in armor-piercing study isotropic Johnson-Cook material model Gruneisen equation of state, and after physical calculation model and geometry model simplifications and assumptions, and completion of a rigid hemispherical projectile-based EFG algorithm The value of the vertical penetration unlimited sheet simulation analysis. The speed and acceleration of the expansion of finite element simulation theory and under the same conditions by comparing hole results, instructions the EFG algorithm can not only solve the phenomenon of negative volume finite element algorithm has high accuracy and penetration relative to the field, good accuracy and efficiency low features. Paper continue to study based on shape functions coupled meshless Galerkin - finite element coupling (Element free Galerkin-Finite Element Method, EFG-FEM) algorithm, the completion of the value of the elastic coupling algorithm penetration of vertical sheet simulation analysis. By comparing the results of the finite element algorithm, public test pictures and empirical formula confirms the The coupling algorithm not only improve the computational efficiency, and further validate the correctness of the results of the numerical simulation. By comparing different EFG node arrangement of EFG area size and the thickness of the thin plates by study node density on the coupling algorithm simulation invasion results, the relationship between the node density and computational efficiency. Short, EFG method used in armor-piercing study thoroughly the negative volumes phenomenon piercing numerical simulation, EFG-FEM coupling algorithm, completed penetration Simulation, computational efficiency, piercing research areas a new idea. However, the algorithm is not very mature, the need to continue in-depth research.

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CLC: > Mathematical sciences and chemical > Mechanics > Explosion > Armor-piercing theory
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