We propose two novel methods for computing the J2 integral of Linear Elastic Fracture Mechanics that do not make use of information from the close near-tip region, where the strain energy exhibits the strongest O(1/r) singularity. Numerical implementation of the methods turns out to be quite simple, which considerably shortens the relevant time-to-market, and their main features are highlighted based on error analyses that provide valuable insights into accuracy properties. The solution of a Middle Tension (MT) fracture test is presented that demonstrates the effectiveness of the proposed approach in a standard finite element setting.
On the J2 integral of Linear Elastic Fracture Mechanics
Valoroso, Nunziante
;
2026-01-01
Abstract
We propose two novel methods for computing the J2 integral of Linear Elastic Fracture Mechanics that do not make use of information from the close near-tip region, where the strain energy exhibits the strongest O(1/r) singularity. Numerical implementation of the methods turns out to be quite simple, which considerably shortens the relevant time-to-market, and their main features are highlighted based on error analyses that provide valuable insights into accuracy properties. The solution of a Middle Tension (MT) fracture test is presented that demonstrates the effectiveness of the proposed approach in a standard finite element setting.File in questo prodotto:
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