Hot Compression Tests Using Total Lagrangian SPH Formulation in Energy-Based Framework

Abstract

Limitations of the finite element method (FEM) in some cases involving large deformations as in forging or high compression tests are overcome nowadays by meshless methods such as the smoothed particle hydrodynamic (SPH) method. This paper presents a corrected total Lagrangian SPH formulation for problems encountering large deformations in solid mechanics. The continuum is modeled as a Hamiltonian system of particles (energy-based framework). The total Lagrangian formulation proposed overcomes some problems faced by standard SPH in simulating solid mechanic problems such as tensile instability. Numerical applications compared with experimental results are presented to show the capabilities of this novel formulation.

Archives of Foundry Engineering

“…Besides, the SPH method was also used by Ba [105] to the axial compression of a cylindrical specimen (25.4 mm in diameter; 25.4 mm in length) at a constant velocity (2.54 mm s -1 ) and high temperature (400 °C) (Figure 8). This research aimed to demonstrate the effectiveness of the proposed overall formula Lagrangian SPH.…”