March 3, 2026

Explicit Form of Asymptotic Coefficients in a Reentrant Corner for Conformal Mapping of an L-Shaped Domain

Puntos clave

Explicit formulas for asymptotic coefficients were derived, focusing on the reentrant corner of the L-shaped domain.
The expansion coefficients, known as stress intensity factors, are represented as a series based on a small parameter.
Analysis of the coefficients depends solely on the reentrant corner's size, determined by beta.
Finding explicit formulas advances the understanding of conferring mapping in complex geometries.

Resumen

For the conformal mapping of an L-shaped domain with ledges of arbitrary length A and width h and a reentrant corner of size, we find explicit analytical formulas for the expansion coefficients {c₍} of the mapping function near the vertex {w₁} of the reentrant corner. The formulas for {c₍}, which are known as stress intensity factors (SIFs), are derived in the form of series in powers of the small parameter: = (- A/h) with coefficients determined only by using explicit formulas. A brief bibliographic survey concerning the problem of calculating SIFs is given.

Me gusta

Guardar

Cite This Study

Vlasov et al. (Mon,) studied this question.

synapsesocial.com/papers/69a75b53c6e9836116a2276c https://doi.org/https://doi.org/10.1134/s0965542525701556

Me gusta

Guardar