| The purpose of this research is to develop a tool for the mechanical analysis of nickel base single crystal superalloys, specifically Rene N4, used in gas turbine engine components. This objective is achieved by developing a rate dependent anisotropic constitutive model and implementing it in a nonlinear three dimensional finite element code.; The constitutive model is developed from metallurgical concepts utilizing a crystallographic approach. A non Schmid's law formulation is used to model the tension/compression asymmetry and orientation dependence in octahedral slip. Schmid's law is a good approximation to the inelastic response of the material in cube slip. The constitutive equations model the tensile behavior, creep response and strain rate sensitivity of these alloys. Methods for deriving the material constants from standard tests are presented.; The finite element implementation utilizes an initial strain method and twenty noded isoparametric solid elements. The ability to model piecewise linear load histories is included in the finite element code. The constitutive equations are accurately and economically integrated using a second order Adams-Moulton predictor-corrector method with a dynamic time incrementing procedure.; Computed results from the finite element code are compared with experimental data for tensile, creep and cyclic tests at 760(DEGREES)C. The strain rate sensitivity and stress relaxation capabilities of the model are evaluated. Limitations and future development needs are discussed. |
