Jintegrals for some crack and notch geometries

✍ Scribed by M. P. Ranaweera; F. A. Leckie

• Publisher: Springer Netherlands
• Year: 1982
• Tongue: English
• Weight: 663 KB
• Volume: 18
• Category: Article
• ISSN: 1573-2673
• DOI: 10.1007/bf00034824

✦ Synopsis

Numerical values are obtained for the path independent integrals, crack opening displacements, and energies of some common crack geometries exhibiting incompressible elastic-power hardening material behavior. Displacement as well as stress formulations of the finite element method are used to discretize the problems and the solutions are obtained through nonlinear optimization. The J integral as well as its dual I are evaluated by energy differencing. The results are also applicable to steady-state creep.

Plane strain/stress results are presented for tensile specimens containing center, double edge, and single edge cracks and plane strain results are given for the standard compact tension and bend specimens. Values obtained for J are generally lower than those for I. Numerical values for 3 are also reported for tensile specimens containing center and double edge notches with finite radius.