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Article
Improvement of the second order approximation of the smoothed particle hydrodynamics
The smoothed particle hydrodynamics (SPH), as a fully Lagrangian particle method, has been successfully applied to astrophysical problems and extended to elastic dynamics and computational fluid dynamics. High...
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Article
A method to improve first order approximation of smoothed particle hydrodynamics
Smoothed particle hydrodynamics (SPH) is a useful meshless method. The first and second orders are the most popular derivatives of the field function in the mechanical governing equations. New methods were pro...
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Article
Neural network method for solving elastoplastic finite element problems
A basic optimization principle of Artificial Neural Network—the Lagrange Programming Neural Network (LPNN) model for solving elastoplastic finite element problems is presented. The nonlinear problems of mechan...