Lecture 17: Modeling of Elasto-Plastic and Creep Response I

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Topics: Modeling of elasto-plastic and creep response I

  • Basic considerations in modeling inelastic response
  • A schematic review of laboratory test results, effects of stress level, temperature, strain rate
  • One-dimensional stress-strain laws for elasto-plasticity, creep, and viscoplasticity
  • Isotropic and kinematic hardening in plasticity
  • General equations of multiaxial plasticity based on a yield condition, flow rule, and hardening rule
  • Example of von Mises yield condition and isotropic hardening, evaluation of stress-strain law for general analysis
  • Use of plastic work, effective stress, effective plastic strain
  • Integration of stresses with subincrementation
  • Example analysis: Plane strain punch problem
  • Example analysis: Elasto-plastic response up to ultimate load of a plate with a hole
  • Computer-plotted animation: Plate with a hole

Instructor: Klaus-Jürgen Bathe

Related Resources

Study Guide (PDF)

Readings

Sections 6.6.3, 6.6.4

Examples

Problem 6.26

References

Bathe, K. J., et al. “On Some Current Procedures and Difficulties in Finite Element Analysis of Elastic-Plastic Response.Computers & Structures 12 (October 1980): 607-624.

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.

Sussman, T., and K. J. Bathe. “A Finite Element Procedure for Nonlinear Incompressible Elastic and Inelastic Analysis.Computers & Structures 26 (1987): 357-409.

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.