RES.2-002 | Spring 2010 | Graduate

Finite Element Procedures for Solids and Structures

Nonlinear Analysis

Lecture 18: Modeling of Elasto-Plastic and Creep Response II

Topics: Modeling of elasto-plastic and creep response II

  • Strain formulas to model creep strains
  • Assumption of creep strain hardening for varying stress situations
  • Creep in multiaxial stress conditions, use of effective stress and effective creep strain
  • Explicit and implicit integrations of stresses
  • Selection of size of time step in stress integration
  • Thermo-plasticity and creep, temperature-dependency of material constants
  • Example analysis: Numerical uniaxial creep results
  • Example analysis: Collapse analysis of a column with offset load
  • Example analysis: Analysis of cylinder subjected to heat treatment

Instructor: Klaus-Jürgen Bathe

Study Guide (PDF)

Readings

Sections 6.6.3, 6.6.4

References

Snyder, M. D., and K. J. Bathe. “A Solution Procedure for Thermo-Elastic-Plastic and Creep Problems.” Nuclear Engineering and Design 64 (March 1981): 49-80.

Rammerstorfer, F. G., et al. “On Thermo-Elastic-Plastic Analysis of Heat-Treatment Processes Including Creep and Phase Changes.” Computers & Structures 13 (October-December 1981): 771-779.

Kojic, M., and K. J. Bathe. “The ‘Effective-Stress-Function’ Algorithm for Thermo-Elasto-Plasticity and Creep.” International Journal for Numerical Methods in Engineering 24 (August 1987): 1509-1532.

Kojic, M., and K. J. Bathe. “Thermo-Elastic-Plastic and Creep Analysis of Shell Structures.” Computers & Structures 26 (1987): 135-143.

Eterovic, A. L., and K. J. Bathe. “A Hyperelastic-Based Large Strain Elasto-Plastic Constitutive Formulation with Combined Isotropic-Kinematic Hardening Using the Logarithmic Stress and Strain Measures.” International Journal for Numerical Methods in Engineering 30 (October 20, 1990): 1099-1114.

Montans, F. J., and K. J. Bathe. “Computational Issues in Large Strain Elasto-Plasticity: An Algorithm for Mixed Hardening and Plastic Spin.” International Journal for Numerical Methods in Engineering 63 (May 14, 2005): 159-196.

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