Shell Elements Examples

A Johnson-Cook elasto-plastic material law is defined for shell elements. Input user data includes density, Young’s modulus, Poisson ratio, yield stress, hardening parameters, hardening modulus, maximum stress, and maximum strain.

The Johnson Cook model:(1)
σ=A+BεpN MathType@MTEF@5@5@+=feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKfMBHbqefqvATv2CG4uz3bIuV1wyUbqedmvETj2BSbqefm0B1jxALjhiov2DaebbnrfifHhDYfgasaacPqpw0le9v8qqaqFD0xXdHaVhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaacaGacmGadaWaaiqacaabaiaafaaakeaabaGaam4Wdiaad2dacaWGbbGaam4kaiaadkeacaWG1oWaa0baaSqaaiaadchaaeaacaWGobaaaaaaaa@4267@

Maximum stress and plastic strain are taken into account. Shell thickness is variable.

Two methods are available to compute plastically admissible stresses:
  • Projection by return radial
  • Iterative projection with three Newton iterations


Figure 1. Shell Elements Model

Example Demo Files

<install_directory>/hwsolvers/demos/radioss/user_subroutines/2_material_law_29_30_31/mat_for_shell/