Smoothed particle galerkin formulation for simulating physical behaviors in solids mechanics

A technology of smooth particles and solid mechanics, applied in electrical digital data processing, special data processing applications, instruments, etc., and can solve problems such as relying on background grids
CN104573166AInactive Publication Date: 2015-04-29LIVERMORE SOFTWARE TECH
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
LIVERMORE SOFTWARE TECH
Publication Date
2015-04-29
Estimated Expiration
Not applicable · inactive patent

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Abstract

Methods and systems for conducting numerical simulation of structural behaviors in solid mechanics using smoothed particle Galerkin formulation are disclosed. A meshfree model representing a physical domain defined by a plurality of particles is received in a computer system. Each particle is configured for material properties of portion of the physical domain it represents. A smoothed displacement field of the physical domain subject to defined boundary condition is obtained by conducting a time-marching simulation using the meshfree model based on smoothed particle Galerkin formulation. The smoothed displacement field is derived from a set of smoothed meshfree shape functions that satisfies linear polynomial reproduction condition. The set of smoothed meshfree shape functions is constructed by convex meshfree approximation scheme and configured to avoid calculation second order derivatives. The set of smoothed meshfree shape functions is a combination of regular meshfree shape function and a displacement smoothing function for the particles.
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Description

technical field

[0001] The present invention relates generally to computer-aided engineering analysis, and more particularly to systems and methods of the smoothed-particle Galerkin formulation for numerically simulating physical behavior in solid mechanics. Background technique

[0002] Meshless or particle methods offer many numerical advantages over traditional finite element and finite difference methods for modeling large deformations and moving discontinuities in solids and structural applications. These methods are also very effective in reducing volume locking and shear locking in solid and structural analyses. The earliest development of the meshless method is the smoothed particle hydrodynamics (Smoothed Particle Hydrodynamics, SPH) method. In this approach, partial differential equations are transformed into integral equations, followed by kernel estimates that provide approximations to estimate field variables at discrete particles. Since these functions are es...

Claims

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