Taylor-SPH Method for Viscoplastic Damage Material
Applied and Computational Mathematics
Volume 4, Issue 3, June 2015, Pages: 162-173
Received: May 8, 2015; Accepted: May 17, 2015; Published: May 29, 2015
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Hajar Idder, Laboratory of Mechanics and Civil Engineering, Faculty of Science and Technology, Abdelmalek Essaâdi University, Tangier, Morocco
Mokhtar Mabssout, Laboratory of Mechanics and Civil Engineering, Faculty of Science and Technology, Abdelmalek Essaâdi University, Tangier, Morocco
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In this paper, we apply the meshless method Taylor-SPH to solve the propagation of shock wave in viscoplastic material coupled to damage. The equations are written in terms of stress and velocity. Taylor-SPH method is based on the Taylor series expansion of stress and velocity and on the corrected SPH approximation. Numerical stability of the method as a function of the smoothing length and the Courant number is analysed in the elastic case. The Taylor-SPH method is used to simulate localization in a one dimensional viscoplastic damage problem. The numerical results show that the Taylor-SPH method is able to model localization phenomena in viscoplastic damage material without lose of hyperbolicity of partial differential equations.
Taylor-SPH, Meshless, Viscoplastic, Damage, Shock Wave, Stability
To cite this article
Hajar Idder, Mokhtar Mabssout, Taylor-SPH Method for Viscoplastic Damage Material, Applied and Computational Mathematics. Vol. 4, No. 3, 2015, pp. 162-173. doi: 10.11648/j.acm.20150403.19
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