Speaker
Description
Forging simulation involves large deformation, material nonlinearity, and complex contact between the billet and dies. To support the development of independent finite element software for metal forming, this study develops linear elastic and elastoplastic solvers for forging analysis within a static implicit finite element framework. The computational procedure is organized using an incremental-iterative strategy. The finite element model is established from input data, including nodes, elements, material parameters, boundary conditions, contact definitions, and loading steps. In each increment, active degrees of freedom, single-point constraints, multi-point constraints, contact pairs, and load information are updated. The global equilibrium equation is then formed through element stiffness calculation, internal force evaluation, and sparse matrix assembly. The linear elastic solver adopts Hooke’s law and is used to verify the basic finite element formulation, constraint treatment, matrix assembly, and linear equation solution. Based on this framework, an elastoplastic solver is developed by introducing incremental plasticity, stress integration, and history-variable updating. The nonlinear equilibrium equation is solved using the Newton–Raphson method. During each iteration, the residual force vector is assembled from the imbalance between external and internal forces, while the tangent stiffness matrix, material state, and contact constraints are updated consistently. A penalty-based contact formulation with Coulomb friction is used to describe billet–die interaction. Representative forging examples are used for verification. The results are compared with commercial finite element software in terms of deformation, equivalent stress, forming load, and convergence behavior. The comparison shows that the developed solvers can reproduce the main mechanical responses of forging processes and provide a basis for remeshing, thermo-mechanical coupling, and parallel computation.
| Speaker Company/University | College of Mechanical Engineering, Taiyuan University of Technology |
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