Investigation of Shape Functions Role on the Mesh-free Method Application in Soft Tissue Elastography

Document Type: English


1 Islamic Azad University, Khomeinishahr Branch

2 Department of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran

3 Department of Electrical Engineering, Iran University of Science and Technology, Tehran, Iran


In current study, The Mesh-free method based on weak-form formulation coupled with the ultrasound imaging technique is developed. This problem consists in computing the deformation of an elastic non-homogenous phantom by numerical methods (both Mesh-free and Finite Element) and converge their results to the measured deformation by the ultrasound. The shape functions of Mesh-free are approximated by the Moving Least Square (MLS) method. The effect of Shape functions on the Mesh-free results are analyzed and discussed with the several simulations in 2D domain.


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