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:

σ = A + B ε p N MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKf MBHbqefqvATv2CG4uz3bIuV1wyUbqedmvETj2BSbqefm0B1jxALjhi ov2DaebbnrfifHhDYfgasaacPqpw0le9v8qqaqFD0xXdHaVhbbf9v8 qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9 q8qqQ8frFve9Fve9Ff0dmeaacaGacmGadaWaaiqacaabaiaafaaake aabaGaam4Wdiaad2dacaWGbbGaam4kaiaadkeacaWG1oWaa0baaSqa aiaadchaaeaacaWGobaaaaaaaa@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

Before you begin, copy the file(s) used in this problem to your working directory.