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

Inactive Publication Date: 2015-04-29
LIVERMORE SOFTWARE TECH
View PDF0 Cites 4 Cited by
  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

But prior art methods are generally specific and rely on the background grid

Method used

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
View more

Image

Smart Image Click on the blue labels to locate them in the text.
Viewing Examples
Smart Image
  • Smoothed particle galerkin formulation for simulating physical behaviors in solids mechanics
  • Smoothed particle galerkin formulation for simulating physical behaviors in solids mechanics
  • Smoothed particle galerkin formulation for simulating physical behaviors in solids mechanics

Examples

Experimental program
Comparison scheme
Effect test

Embodiment Construction

[0015] First refer to figure 1 , a flowchart illustrating an exemplary process 100 for obtaining a numerically simulated displacement field of a physical domain based on the smoothed particle Galerkin formula. Process 100 is preferably implemented in software, understood with reference to the other figures.

[0016] Process 100 begins at step 102 with a computer system on which an application is installed (e.g., Figure 7 A meshless model representing the physical domain is received in a computer 700). The application module is configured to perform time-marching simulations based on the smoothed particle Galerkin formulation. The meshless model includes a plurality of particles, each particle configured to represent a material property of a portion of the physical domain. Exemplary meshless model 200 in figure 2 shown in .

[0017] An exemplary physical domain Ω 202 and a corresponding boundary or limit Γ 203 are shown. To represent the physical domain 202, a number of...

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to view more

PUM

No PUM Login to view more

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.

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

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to view more

Application Information

Patent Timeline
no application Login to view more
Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/20
Inventor 吴政唐
Owner LIVERMORE SOFTWARE TECH
Who we serve
  • R&D Engineer
  • R&D Manager
  • IP Professional
Why Eureka
  • Industry Leading Data Capabilities
  • Powerful AI technology
  • Patent DNA Extraction
Social media
Try Eureka
PatSnap group products

Browse by: Latest US Patents, China's latest patents, Technical Efficacy Thesaurus, Application Domain, Technology Topic.

© 2024 PatSnap. All rights reserved.Legal|Privacy policy|Modern Slavery Act Transparency Statement|Sitemap