Rigid Plastic Analysis of Metal Parts using Meshless Approach

Ajay Chhillar; Rajender Singh

doi:https://doi.org/10.51976/ijari.331506

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Rigid Plastic Analysis of Metal Parts using Meshless Approach

Ajay Chhillar, Rajender Singh

Vol 3 , Issue 3 , July - September 2015 | Pages: 34-44 | Research Paper

https://doi.org/10.51976/ijari.331506

Received: July 03, 2015 | Revised: July 20, 2015 | Accepted: August 28, 2015 | Published Online: September 15, 2015

Author Details ( * ) denotes Corresponding author

1. * Ajay Chhillar, Department of Mechanical Engineering, DCRUST Murthal, Sonipat, Haryana, India (aasc1981@gmail.com)

2. Rajender Singh, Department of Mechanical Engineering, DCRUST Murthal, Sonipat, Haryana, India

Plastic deformation of metal parts has been a matter of concern for investigators in academia, industry and research institutions all over the world. Literature reveals that earlier researchers have applied efforts for predicting plastic deformations using mesh based approach. A truly meshless formulation for rigid plastic analysis of metal parts has been developed in the present study for both plane stress and plane strain cases. In the present formulation, the governing equations are obtained for different set of scattered nodes over the problem domain and the integral equation for rigid plastic behavior is obtained through weak form over a local sub-domain. The meshless solution functions are obtained for different set of scattered nodes through moving least square technique. Essential boundary conditions are enforced through Penalty approach. The rigid plastic constitutive relationships incorporate only small deformation. Material constitutive relationship include Von-Mises yield criterion with rate independent associative flow theory. The solution algorithm for rigid plastic analysis of metal parts using meshless approach is discussed in the present work. Numerical results have been computed through two test functions using both linear and quadratic basis function which shows that presented formulation is accurate and robust for carrying out the rigid plastic analysis of metal parts.

Keywords

Meshless Method; Rigid Plastic; Perfect Plastic; Truly Meshless; Meshless Local Petrov Galerkin Method.

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