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What (who) is J-integral - definition
J-integral
METHOD OF CALCULATING STRAIN ENERGY RELEASE RATE IN A MATERIAL
HRR singularity; J integral
The J-integral represents a way to calculate the strain energy release rate, or work (energy) per unit fracture surface area, in a material.Van Vliet, Krystyn J.
Henstock–Kurzweil integral
GENERALIZATION OF THE RIEMANN INTEGRAL
Henstock-Kurzweil Integral; Perron integral; Gauge integral; Henstock integral; Denjoy Integral; Henstock-Kurzweil-Stieltjes integral; Perron Integral; Henstock-Kurzweil-Stieltjes Integral; Generalized Riemann integral; Denjoy-Perron integral; Henstock-Kurzweil integral; H-K integral
In mathematics, the Henstock–Kurzweil integral or generalized Riemann integral or gauge integral – also known as the (narrow) Denjoy integral (pronounced ), Luzin integral or Perron integral, but not to be confused with the more general wide Denjoy integral – is one of a number of inequivalent definitions of the integral of a function. It is a generalization of the Riemann integral, and in some situations is more general than the Lebesgue integral.
Pettis integral
In mathematics, the Pettis integral or Gelfand–Pettis integral, named after Israel M. Gelfand and Billy James Pettis, extends the definition of the Lebesgue integral to vector-valued functions on a measure space, by exploiting duality.
