Anisotropic constitutive model for nickel base single crystal alloys: development and finite element implementation. Final Report
A tool for the mechanical analysis of nickel base single crystal superalloys, specifically Rene N4, used in gas turbine engine components is developed. This is achieved by a rate dependent anisotropic constitutive model implemented in a nonlinear three dimensional finite element code. The constitutive model is developed from metallurigical 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 deg C. The strain rate sensitivity and stress relaxation capabilities of the model are evaluated.
- Research Organization:
- Cincinnati Univ., OH (USA)
- OSTI ID:
- 5542373
- Report Number(s):
- N-86-21952; NASA-CR-175015
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
NICKEL BASE ALLOYS
MECHANICAL PROPERTIES
ANISOTROPY
CHROMIUM ALLOYS
COMPUTER CALCULATIONS
FINITE ELEMENT METHOD
GAS TURBINES
MATHEMATICAL MODELS
MONOCRYSTALS
THEORETICAL DATA
ALLOYS
CRYSTALS
DATA
INFORMATION
MACHINERY
NICKEL ALLOYS
NUMERICAL DATA
NUMERICAL SOLUTION
TURBINES
TURBOMACHINERY
360103* - Metals & Alloys- Mechanical Properties