Title of article :
MESHFREE LOCAL INTEGRATION ON LINE METHOD (MLILM) FOR LINEAR ELASTICITY
Author/Authors :
Sadeghirad, Alireza university of tehran - School of Civil Engineering, تهران, ايران , Mahmoudzadeh Kani, Iradj university of tehran - School of Civil Engineering, تهران, ايران , Rahimian, Mohammad university of tehran - School of Civil Engineering, تهران, ايران , Vaziri Astaneh, Ali university of tehran - School of Civil Engineering, تهران, ايران
Abstract :
The meshfree local integration on line method (MLILM) is presented for solving two-dimensional problems in linear elasticity. For this purpose, local unsymmetric weak forms (LUWF) are developed using weighted residual method locally from the equilibrium equations. In this method, local domains are quadrangles and the test functions are pyramids centered on domain nodes. Application of the LUWF based on these deliberately selected test functions results in eliminating the domain integrals for calculation of the system “stiffness” matrix. A line-wise weighted least squares (LWLS) method is proposed to construct trial functions. This method for construction of trial functions is found to be an accurate technique. The formulation of the MLILM does not require calculating the derivatives of trial functions, leading to eliminating the process of differentiating the LWLS approximation for displacements. Numerical studies show the MLILM leads to accurate results
Keywords :
numerical methods , meshfree methods , meshfree Local Integration on Line Method (MLILM) , line , wise weighted least squares (LWLS) approximation , elasticity
Journal title :
The Arabian Journal for Science and Engineering
Journal title :
The Arabian Journal for Science and Engineering
