Fully Plastic Crack Problems, Part 1: Solutions by a Penalty Method Academic Article uri icon


  • We formulate a finite-element reduced integration penalty method applicable to plane-strain problems with incompressible material behavior. This numerical method is employed to generate crack solutions for pure power-hardening solids. For two configurations of interest in applications, an edge cracked panel subject to remote tension and an edge-cracked panel subject to remote bending, we obtain solutions for a wide range of crack lengths and strain-hardening behaviors.

published proceedings

  • Journal of Applied Mechanics

author list (cited authors)

  • Shih, C. F., & Needleman, A.

citation count

  • 76

complete list of authors

  • Shih, CF||Needleman, A

publication date

  • January 1984