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

Flash and JavaScript are required for this feature.

Download the video from iTunes U or the Internet Archive.

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)


Sections 6.6.3, 6.6.4


Problem 6.26


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.

Free Downloads



  • English - US (SRT)