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2010•Harbin Gongcheng Daxue Xuebao/Journal of Harbin Engineering UniversityRequires access

Solving hypervelocity impact problems with the material point method

Weidong Chen

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Abstract

When using traditional grid methods with large deformation problems caused by hypervelocity impacts,many numerical problems are encountered.These problems include mesh distortion and tangling issues associated with Lagrangian methods and difficulties describing interfaces between materials associated with Eulerian methods.The material point method(MPM),which is a meshfree method,takes advantage of both Eurlerian and Lagrangian methods.Discrete principles,artificial bulk viscosity and time steps were used in this method.By applying the von-Mises strength model and the shock equation of state,a code called MPM-EXPLICIT was developed in FORTRAN 90.Hypervelocity impact problems were then simulated.The calculated results were in agreement with experimental results,verifying the accuracy of the code.The influence of materials and impact velocities when simulating debris cloud shapes was then discussed.

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What this paper is about

When using traditional grid methods with large deformation problems caused by hypervelocity impacts,many numerical problems are encountered.These problems include mesh distortion and tangling issues associated with Lagrangian methods and difficulties describing interfaces between materials associated with Eulerian methods.The material point method(MPM),which is a meshfree method,takes advantage of both Eurlerian and Lagrangian methods.Discrete principles,artificial bulk viscosity and time steps were used in this method.By applying the von-Mises strength model and the shock equation of state,a code called MPM-EXPLICIT was developed in FORTRAN 90.Hypervelocity impact problems were then simulated.The calculated results were in agreement with experimental results,verifying the accuracy of the code.The influence of materials and impact velocities when simulating debris cloud shapes was then discussed.

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Available abstract

When using traditional grid methods with large deformation problems caused by hypervelocity impacts,many numerical problems are encountered.These problems include mesh distortion and tangling issues associated with Lagrangian methods and difficulties describing interfaces between materials associated with Eulerian methods.The material point method(MPM),which is a meshfree method,takes advantage of both Eurlerian and Lagrangian methods.Discrete principles,artificial bulk viscosity and time steps were used in this method.By applying the von-Mises strength model and the shock equation of state,a code called MPM-EXPLICIT was developed in FORTRAN 90.Hypervelocity impact problems were then simulated.The calculated results were in agreement with experimental results,verifying the accuracy of the code.The influence of materials and impact velocities when simulating debris cloud shapes was then discussed.

Key concepts: Hypervelocity, Material point method, Eulerian path, Fortran, Deformation (meteorology), Computer science, Meshfree methods, Grid

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