Acta Mechanica Solida Sinica

, Volume 22, Issue 4, pp 337–346

# h-Adaptive Analysis Based on Meshless Local Petrov-Galerkin Method with B Spline Wavelet for Plates and Shells

• Di Li
• Zhongqin Lin
Article

## Abstract

Using the two-scale decomposition technique, the h-adaptive meshless local Petrov-Galerkin method for solving Mindlin plate and shell problems is presented. The scaling functions of B spline wavelet are employed as the basis of the moving least square method to construct the meshless interpolation function. Multi-resolution analysis is used to decompose the field variables into high and low scales and the high scale component can commonly represent the gradient of the solution according to inherent characteristics of wavelets. The high scale component in the present method can directly detect high gradient regions of the field variables. The developed adaptive refinement scheme has been applied to simulate actual examples, and the effectiveness of the present adaptive refinement scheme has been verified.

## Key words

meshless methods meshless local Petrov-Galerkin method multi-resolution analysis adaptive analysis plate and shell

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© The Chinese Society of Theoretical and Applied Mechanics and Technology 2009

## Authors and Affiliations

• Di Li
• 1
• 2
• Zhongqin Lin
• 2
1. 1.School of Transportation and Vehicle EngineeringShandong University of TechnologyZiboChina
2. 2.School of Mechanical EngineeringShanghai Jiaotong UniversityShanghaiChina