Contact of Faces Inside an Edge Crack in an Elastic Wedge

ABSTRACT The problem of smooth contact of the faces inside an edge crack on the axis of symmetry of an elastic wedge under the action of two concentrated compressive forces applied to the lateral faces of the wedge is considered. Using the Wiener–Hopf method, the problem is reduced to an infinite system of algebraic equations with exponentially decreasing coefficients. The boundaries of the contact domain were determined. The stress distributions in the contact domain and on the crack extension, the normal displacements of the crack faces, and the stress intensity factor were obtained.

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Publication Details

Journal
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Published
2026-04-01
DOI
https://doi.org/10.1002/zamm.70389
Primary Topic
Elasticity and Wave Propagation
Type
article
Field-Weighted Citation Impact
0.00
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article

Contact of Faces Inside an Edge Crack in an Elastic Wedge

V. І. Ostryk
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Elasticity and Wave Propagation
article

Contact of Faces Inside an Edge Crack in an Elastic Wedge

V. І. Ostryk
article en

Abstract

ABSTRACT The problem of smooth contact of the faces inside an edge crack on the axis of symmetry of an elastic wedge under the action of two concentrated compressive forces applied to the lateral faces of the wedge is considered. Using the Wiener–Hopf method, the problem is reduced to an infinite system of algebraic equations with exponentially decreasing coefficients. The boundaries of the contact domain were determined. The stress distributions in the contact domain and on the crack extension, the normal displacements of the crack faces, and the stress intensity factor were obtained.

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und MechanikVol. 106(4)
National Academy of Agrarian Sciences of Ukraine (UA)
Openalex Percentile: Top 10%
Elasticity and Wave Propagation
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