On evaluation of influence coefficients for edge and intermediate boundary elements in 3D problems involving strong field concentrations

• Autorzy: Rybarska-Rusinek L.

Identyfikatory

DOI

10.24425/bpas.2019.125435

• Języki publikacji: EN

Abstrakty

EN

The paper presents a tool for accurate evaluation of high field concentrations near singular lines, such as contours of cracks, notches and grains intersections, in 3D problems solved the BEM. Two types of boundary elements, accounting for singularities, are considered: (i) edge elements, which adjoin a singular line, and (ii) intermediate elements, which while not adjoining the line, are still under strong influence of the singularity. An efficient method to evaluate the influence coefficients and the field intensity factors is suggested for the both types of the elements. The method avoids time expensive numerical evaluation of singular and hypersingular integrals over the element surface by reduction to 1D integrals. The method being general, its details are explained by considering a representative examples for elasticity problems for a piecewise homogeneous medium with cracks, inclusions and pores. Numerical examples for plane elements illustrate the exposition. The method can be extended for curvilinear elements.

Słowa kluczowe

EN

boundary integral equation; boundary element method; singular element; Hadamard finite part integral

PL

brzegowe równanie całkowe; metoda elementów brzegowych; macierz Hadamarda

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2019
• Tom: Vol. 67, nr 1
• Strony: 69--76
• Opis fizyczny: Bibliogr. 31 poz., wykr., tab., rys.

Twórcy

autor

Rybarska-Rusinek L.

• Rzeszow University of Technology, Poland

Bibliografia

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Uwagi

EN

The author appreciate the support of the National Science Centre Poland (Project Number 2015/19/B/ST8/00712).

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).