PSI - Issue 82

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ScienceDirect

Procedia Structural Integrity 82 (2026) 44–50 Structural Integrity Procedia 00 (2026) 000–000 Structural Integrity Procedia 00 (2026) 000–000

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© 2026 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of ICSID organizers Abstract This study presents a semi-analytical method for evaluating T-stress in double-edge cracked circular annuli under internal and external pressure using weight functions. The approach combines the Lame´ stress solution for the uncracked configuration with geometry-specific weight functions to determine T-stress without finite element simulations. Results are presented for inner and outer cracked rings with radius ratios R i / R o = 0 . 2–0 . 6 and pressure ratios η = P o / P i = 0–1 . 0. For inner cracks, T-stress varies from positive to negative with increasing crack length, showing strong dependence on geometry and loading. For outer cracks, T-stress remains negative across all cases with less variation. The study demonstrates the e ffi ciency of the weight function method for analyzing crack-tip stress characteristics in pressurized annular components. © 2026 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http: // creativecommons.org / licenses / by-nc-nd / 4.0 / ) Peer-review under responsibility of ICSID organizers. Keywords: Fracture mechanics; T-stress; Cylindrical annuli; Weight function method; Lame’s problem; crack-tip constraint 8th International Conference on Structural Integrity and Durability (ICSID2025) Application of Weight Functions of Double Edge Cracked Circular Rings for T-Stress M. S. KannanKulavan ∗ , K V N Surendra a Department of Mechanical Engineering, Indian Institute of Technology Palakkad, Palakkad, Kerala, India, 678623 Abstract This study presents a semi-analytical method for evaluating T-stress in double-edge cracked circular annuli under internal and external pressure using weight functions. The approach combines the Lame´ stress solution for the uncracked configuration with geometry-specific weight functions to determine T-stress without finite element simulations. Results are presented for inner and outer cracked rings with radius ratios R i / R o = 0 . 2–0 . 6 and pressure ratios η = P o / P i = 0–1 . 0. For inner cracks, T-stress varies from positive to negative with increasing crack length, showing strong dependence on geometry and loading. For outer cracks, T-stress remains negative across all cases with less variation. The study demonstrates the e ffi ciency of the weight function method for analyzing crack-tip stress characteristics in pressurized annular components. © 2026 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http: // creativecommons.org / licenses / by-nc-nd / 4.0 / ) Peer-review under responsibility of ICSID organizers. Keywords: Fracture mechanics; T-stress; Cylindrical annuli; Weight function method; Lame’s problem; crack-tip constraint 8th International Conference on Structural Integrity and Durability (ICSID2025) Application of Weight Functions of Double Edge Cracked Circular Rings for T-Stress M. S. KannanKulavan ∗ , K V N Surendra a Department of Mechanical Engineering, Indian Institute of Technology Palakkad, Palakkad, Kerala, India, 678623 Annular components are widely used in engineering applications such as pressure vessels, rotating machinery, and structural couplings. These geometries often experience complex stress fields under internal and external pressure, and when cracks are present—especially at the edges—their fracture behavior becomes highly sensitive to geometry and loading conditions. In fracture mechanics, the T-stress is a non-singular term that influences crack-tip constraint and a ff ects the stability of crack growth. While the stress intensity factor (SIF) governs the magnitude of the singular stress field, the T-stress modifies the shape of the plastic zone and plays a key role in determining whether a crack will grow stably or unstably Betego´n and Hancock (1991); Du et al. (1991). To evaluate T-stress in cracked bodies, the weight function method o ff ers a computationally e ffi cient alternative to full-field finite element analysis (FEM). In this study, the weight function for double edge cracked annular rings is directly applied, having been previously established for the given geometry K.K. and Surendra (2025b). In order to Annular components are widely used in engineering applications such as pressure vessels, rotating machinery, and structural couplings. These geometries often experience complex stress fields under internal and external pressure, and when cracks are present—especially at the edges—their fracture behavior becomes highly sensitive to geometry and loading conditions. In fracture mechanics, the T-stress is a non-singular term that influences crack-tip constraint and a ff ects the stability of crack growth. While the stress intensity factor (SIF) governs the magnitude of the singular stress field, the T-stress modifies the shape of the plastic zone and plays a key role in determining whether a crack will grow stably or unstably Betego´n and Hancock (1991); Du et al. (1991). To evaluate T-stress in cracked bodies, the weight function method o ff ers a computationally e ffi cient alternative to full-field finite element analysis (FEM). In this study, the weight function for double edge cracked annular rings is directly applied, having been previously established for the given geometry K.K. and Surendra (2025b). In order to 1. Introduction 1. Introduction

2452-3216 © 2026 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of ICSID organizers 10.1016/j.prostr.2026.04.008 ∗ Corresponding author. Tel.: 919633248264. E-mail address: kkmshafeeque@gmail.com 2210-7843 © 2026 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http: // creativecommons.org / licenses / by-nc-nd / 4.0 / ) Peer-review under responsibility of ICSID organizers. ∗ Corresponding author. Tel.: 919633248264. E-mail address: kkmshafeeque@gmail.com 2210-7843 © 2026 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http: // creativecommons.org / licenses / by-nc-nd / 4.0 / ) Peer-review under responsibility of ICSID organizers.