Basics of Metal Forming and Finite-Element Method - Comparison of Finite-Difference and Finite Element Methods with Analytical Solutions - Spatial Discretization - Shape Functions - Assembly of the Stiffness Matrix.
Finite Elements for Large Deformation - Solution of Linear Finite-Element Systems and Nonlinear Finite-Element Systems, Typical Finite Elements.
Classification of Finite-Element Formulations, Auxiliary Equations - Thermomechanical Principles.
Steady-State Forming Problems - Slab Analysis Versus the Finite-Element Solution in forming processes.
Sheet Forming Analysis and Sheet-Metal Formability Tests - Elements Used in SHEET-S and SHEET-3, General Considerations, Consistent Full Set Algorithm, Performance of SHEET-3 in International Benchmark Tests, Meshing and Remeshing - Error Estimation, Adaptive Remeshing.
REFERENCES
1) Shiro Kobayanshi, Soo Ik oh and Taylan Atlan , “Metal Forming and Finite Element Method”, Oxford pub, 1992.
2) R.H. Wagoner, Jean Loup chenot “Metal Forming Analysis”, Cambridge Publications, 1994.
3) G.W. Rowe, C.E.N. Sturgess, P.Hartley, I. Pillinger “Finite Element Plasticity and Metal Forming Analysis”, Cambridge publications,1992.
