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Ti-alloy sheet is a high-modulus elastic-plastic material, about which the resilience in the cold-forming process is quite difficult to control. As a matter of fact, the procedure of cold-forming is composed of many cases such as tensile case and bending case. An expression of ultimate radius for bending-curvature is obtained based on tri-parameters elastic-plastic constitutive model. By classifying the cold-forming process, some typical cases of cold-forming are presented in this paper, and analytical solutions with a high precision of resilience for high-modulus elastic-plastic material such as Ti-alloy sheet under the different typical cases are obtained in this paper. The accurate analytical solutions of resilience for high-modulus elastic-plastic material presented in this paper will contribute to cold-forming process both in the mould-designing and optimizing of cold-forming procedure.

Based on the experimental data of true stress-strain measured by DIC (Digital Image Correlation) combined with the data from a tensile test machine, the methodology for establishing a constitutive model for Ti40 alloy sheet is presented in this paper. The procedure is demonstrated by building the constitutive relationship for Ti40 alloy sheet. As the verification of the constitutive relationship, a force-displacement diagram is simulated by FEA (Finite Element Analysis). A comparison of force-displacement diagram obtained separately by FEA and the tensile test machine is made and the result shows that the method for establishing the constitutive relationship for Ti40 alloy sheet presented in this paper are reliable and considerately accurate.