Analysis of materials with strain-gradient effects: A meshless local Petrov-Galerkin (MLPG) approach, with nodal displacements only

Z. Tang; S. Shen; S. N. Atluri

Analysis of materials with strain-gradient effects: A meshless local Petrov-Galerkin (MLPG) approach, with nodal displacements only

Z. Tang, S. Shen, S. N. Atluri

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

101 Scopus citations

Abstract

The Meshless local Petrov-Galerkin (MLPG) method was developed for materials within the Toupin-Mindlin framework of strain gradient type constitutive theory. The resultant method defines the weak form of governing equations on sub-domains, which consequently helps to evaluate integration on some well-shaped region. The remarkable accuracy in the numerical simulations shows promising characteristics of MLPG for solving generation problems of material in elasticity, where strain-gradient effects may be important.

Original language	English
Pages (from-to)	177-196
Number of pages	20
Journal	CMES - Computer Modeling in Engineering and Sciences
Volume	4
Issue number	1
State	Published - 2003

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abstract = "The Meshless local Petrov-Galerkin (MLPG) method was developed for materials within the Toupin-Mindlin framework of strain gradient type constitutive theory. The resultant method defines the weak form of governing equations on sub-domains, which consequently helps to evaluate integration on some well-shaped region. The remarkable accuracy in the numerical simulations shows promising characteristics of MLPG for solving generation problems of material in elasticity, where strain-gradient effects may be important.",

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AU - Atluri, S. N.

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AB - The Meshless local Petrov-Galerkin (MLPG) method was developed for materials within the Toupin-Mindlin framework of strain gradient type constitutive theory. The resultant method defines the weak form of governing equations on sub-domains, which consequently helps to evaluate integration on some well-shaped region. The remarkable accuracy in the numerical simulations shows promising characteristics of MLPG for solving generation problems of material in elasticity, where strain-gradient effects may be important.

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