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math.AP2026
The equivalence of solutions to fractional and logarithmic Helmholtz equations
A. Biswas, J. Groszkiewicz, P. R. Stinga
We show the following equivalence of solutions to general fractional Helmholtz equations: is a solution to for \textit{some} fixed and some if and o…
cond-mat.mtrl-sci2026
Bond failure in peridynamics: Nonequivalence of critical stretch and critical energy density criteria
Pablo Seleson, Pablo Raúl Stinga, Mary Vaughan
This paper rigorously analyzes bond failure in the peridynamic theory of solid mechanics, which is a fundamental component of fracture modeling. We compare analytically and numeric…