Domen Šeruga , Alberto Campagnolo , Jernej Klemenc , Giovanni Meneghetti
{"title":"Calculation of plastic notch stress intensity factor and strain energy density by Peak Stress Method under low-cycle fatigue conditions","authors":"Domen Šeruga , Alberto Campagnolo , Jernej Klemenc , Giovanni Meneghetti","doi":"10.1016/j.tafmec.2025.105396","DOIUrl":"10.1016/j.tafmec.2025.105396","url":null,"abstract":"<div><div>In this article, an idea for prediction of low-cycle fatigue durability of notched components is presented. The concept implements the Peak Stress Method into the calculation of both the plastic notch stress intensity factor and averaged elasto-plastic strain energy density. The scatter reduction which is characteristic for the approach using the strain energy density calculation under high-cycle fatigue conditions is less pronounced in the low-cycle fatigue area. Importantly, the otherwise changed slope of the durability curve in the low-cycle fatigue regime of the material remains almost equal to the slope in the high-cycle fatigue regime of the material using the implemented method. The method has been validated on tension–compression testing of plain and V-notched specimens of structural steel St-52 with three notch angles: 35<span><math><msup><mrow></mrow><mrow><mi>o</mi></mrow></msup></math></span>, 90<span><math><msup><mrow></mrow><mrow><mi>o</mi></mrow></msup></math></span> and 135<span><math><msup><mrow></mrow><mrow><mi>o</mi></mrow></msup></math></span>. It is shown that significant agreement can be drawn between predictions using the Peak Stress Method and finite element evaluation of the averaged strain energy density.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"142 ","pages":"Article 105396"},"PeriodicalIF":5.6,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145840452","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yuqi Zhou , Yi Miao , Lei Zhao , Lianyong Xu , Kai Song , Yongdian Han , Kangda Hao
{"title":"Unified characterization of thickness effects on ductile fracture toughness using a novel out-of-plane constraint parameter","authors":"Yuqi Zhou , Yi Miao , Lei Zhao , Lianyong Xu , Kai Song , Yongdian Han , Kangda Hao","doi":"10.1016/j.tafmec.2025.105408","DOIUrl":"10.1016/j.tafmec.2025.105408","url":null,"abstract":"<div><div>A new out-of-plane constraint parameter, <em>Q</em><sub>m</sub><sup>⁎</sup>, is proposed to capture fracture toughness evolution of 316 stainless steel at 550 °C under large-scale yielding (LSY). Unlike conventional measures, <em>Q</em><sub>m</sub><sup>⁎</sup> is load-independent and remains stable across specimen geometries and thicknesses, as confirmed by finite element analyses of C(T), SEN(B), and SEN(T) configurations. Crack propagation was modeled using a Rice–Tracey damage framework, producing <em>J</em>–<em>R</em> curves consistent with experiments. By correlating resistance parameters with <em>Q</em><sub>m</sub><sup>⁎</sup>, a generalized transformation method was established to predict <em>J</em>–<em>R</em> curves across different geometries and sizes from limited test data. This approach decouples geometry effects from intrinsic material behavior, enabling constraint-corrected fracture toughness evaluation with reduced experimental cost. The proposed framework demonstrates broad applicability for constraint-based modeling of ductile fracture and offers a transferable methodology for structural integrity assessments under service conditions.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"142 ","pages":"Article 105408"},"PeriodicalIF":5.6,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145840450","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yuqi Zhou , Yang Bai , Yong Cao , Junchao Cao , Chao Zhang
{"title":"Evaluation and quantification of ply configuration effects on mode-I delamination in thin-ply woven composites across loading rates","authors":"Yuqi Zhou , Yang Bai , Yong Cao , Junchao Cao , Chao Zhang","doi":"10.1016/j.tafmec.2025.105410","DOIUrl":"10.1016/j.tafmec.2025.105410","url":null,"abstract":"<div><div>This study addresses the critical challenge of evaluating how ply configuration affects mode-I interlaminar fracture in thin-ply woven composites under different loading rates. A meso-structure-informed finite element modeling strategy is proposed, explicitly incorporating ply architecture to determine dynamic fracture toughness. Additionally, a crack opening displacement (COD)-based approach, coupled with a stiffness coefficient, is developed to assess ply configuration effects. Double cantilever beam (DCB) tests were performed on specimens with ply thicknesses of 0.05 mm, 0.065 mm, and 0.08 mm in unidirectional (UD) and multidirectional (MD) stacking sequences. Pure mode-I fracture at high loading rates (16 m/s, 23 m/s) was achieved using a dual electromagnetic Hopkinson bar system. Under quasi-static loading, ply thickness strongly affects the stiffness coefficient, while its influence diminishes in dynamic loading due to a transition from fiber/matrix interfacial debonding to matrix brittle fracture. Interface angle significantly affects stiffness coefficient in both regimes, with UD stacking showing more tortuous crack paths and higher energy dissipation than MD stacking. Fracture toughness exhibits pronounced positive rate dependence, confirmed by COD-based evaluations and SEM analysis. The findings provide new insights into the loading-rate-dependent fracture behavior of thin-ply woven composites and validate a meso-structure-informed modeling strategy for determining their interlaminar fracture toughness.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"142 ","pages":"Article 105410"},"PeriodicalIF":5.6,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145790873","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Tingting Liu , Luyang Ding , Hui Shen , Xiaohan Xie , Xinping Li , Shenghao Yang
{"title":"Synergistic influence of grain size and flaw persistence ratio on fracture behavior and mechanical properties of granite","authors":"Tingting Liu , Luyang Ding , Hui Shen , Xiaohan Xie , Xinping Li , Shenghao Yang","doi":"10.1016/j.tafmec.2025.105392","DOIUrl":"10.1016/j.tafmec.2025.105392","url":null,"abstract":"<div><div>As a critical factor controlling the propagation paths of secondary cracks, crystal grain size is strongly correlated with the mechanical response characteristics of flawed granite. To elucidate the coupled effects of grain size and cross-flaw geometry on fracture mechanisms, this study investigates granite specimens with varying grain sizes and flaw persistence ratios (<em>ω</em>), treating both parameters as key factors governing fracture behavior. Uniaxial compression tests were conducted in combination with digital image correlation (DIC) technology to capture deformation and fracture behavior. Fracture toughness was evaluated from the DIC measurements, further revealing the intrinsic relationship between the crack initiation behavior of cross flaws and crystal grain size. In addition, the corresponding failure modes and meso-scale fracture characteristics were systematically examined. The results reveal that grain size significantly influences deformation characteristics during the compaction stage. Fine-grained granite is most sensitive to initial damage evolution, and when the flaw connectivity reaches 0.424, its strength is only 42 % of that of an intact specimen. As the grain size increases, the strength of granite specimens consistently decreases, with the peak stress of coarse-grained granite reaching only approximately 60 %–70 % of that of fine-grained granite. Two distinct failure modes were identified in granite with cross flaws: shear-splitting failure and tensile-shear mixed failure. As the crystal grain size increases, the degree of damage in specimens with same flaw persistence ratio progressively intensifies. These findings provide a theoretical basis for the safety and stability analysis of fractured engineering rock masses.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"142 ","pages":"Article 105392"},"PeriodicalIF":5.6,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145790977","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Hao Zheng , Jinfeng Peng , Yanhuai Ding , Mohammad Zaheer Rahimi , Xing Sun , Wei He , Huimin Xie , Rongguo Zhao
{"title":"Crack closure effect and fatigue crack growth behavior in laser repaired GH4169 superalloy based on digital image correlation technology","authors":"Hao Zheng , Jinfeng Peng , Yanhuai Ding , Mohammad Zaheer Rahimi , Xing Sun , Wei He , Huimin Xie , Rongguo Zhao","doi":"10.1016/j.tafmec.2025.105356","DOIUrl":"10.1016/j.tafmec.2025.105356","url":null,"abstract":"<div><div>Based on digital image correlation technology, the fatigue crack growth behavior and crack closure effect in laser repaired GH4169 superalloy under varying process parameters and spatial locations are investigated by using the modified Paris law and crack opening ratio, and their underlying mechanisms are elucidated through electron backscatter diffraction analysis. The results reveal that the residual stresses in laser repaired GH4169 superalloy significantly influence crack closure effect during fatigue crack growth. Moreover, the functionally graded laser repair processes improve fatigue life while reducing metallurgical defects. The grain size of GH4169 superalloy predominantly governs the threshold stress intensity factor range, whereas its effect on FCG rates is less significant. The metallurgical defects (such as lack of fusion, pores, and unmelted particles), secondary cracking, and grain boundary-induced crack deflection significantly increase both crack growth rate and data scatter. The findings in this work provide theoretical guidance and technical support for tailoring laser repair strategies to enhance fatigue resistance in engineering components.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"142 ","pages":"Article 105356"},"PeriodicalIF":5.6,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145738644","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Xinxin Ren , Jinchun Liu , Yuchun Li , Jiaxiang Wu , Bin Feng , Junyi Huang , Huaixi Wang , Ruiqi Wang
{"title":"J-integral-based evaluation of elasto-plastic fracture toughness of Al/PTFE reactive materials under low strain rates","authors":"Xinxin Ren , Jinchun Liu , Yuchun Li , Jiaxiang Wu , Bin Feng , Junyi Huang , Huaixi Wang , Ruiqi Wang","doi":"10.1016/j.tafmec.2025.105409","DOIUrl":"10.1016/j.tafmec.2025.105409","url":null,"abstract":"<div><div>The non-linear elastic–plastic strain energy fracture toughness of the aluminum/polytetrafluoroethylene (Al/PTFE) reactive material is correlated to some extent with the hot spot reaction mechanism and the material has a significant strain rate effect. In order to investigate the effect of strain rate on the <em>J</em>-integral-based fracture toughness, this study employed a universal testing machine to carry out static tensile tests and <em>J</em>-integral-based elastic-plastic fracture toughness tests in accordance with ASTM E1820. Crack extension length and strain rate calculations were tested using Digital Image Correlation (DIC) technique. A <em>J</em>-integral analysis is conducted to evaluate the elastic-plastic fracture toughness of Al/PTFE using the normalized data reduction technique in accordance with the ASTM E1820 single-specimen method. Finally, scanning electron microscopy (SEM) was employed to observe the fracture morphology and analyze the influence of strain rate on microscale fracture behavior. The results show that the critical value of the <em>J</em>-integral (<em>J</em><sub><em>Ic</em></sub>) of Al/PTFE reactive materials exhibits an obvious strain rate effect. The critical <em>J</em>-integral values (<em>J</em><sub><em>Ic</em></sub>) of the four ASTM-valid data points increase logarithmically with the increase of strain rate: <em>J</em><sub><em>Ic</em></sub><span><math><mo>=</mo><mn>19.95</mn><mo>+</mo><mn>3.83</mn><mi>lg</mi><mover><mi>ε</mi><mo>˙</mo></mover></math></span>. At 10 mm·s<sup>−1</sup>, the specimen exhibits unstable crack growth exceeding ASTM validity limits, transitioning to brittle fracture with a “pop-in” behavior. Microscopic observations reveal that increasing strain rate suppresses viscoelastic relaxation and fiber formation in the PTFE matrix, thereby altering the crack-propagation mode. The strain rate-dependent <em>J</em><sub><em>Ic</em></sub> relationship provides a quantitative basis for assessing strain-rate-dependent fracture resistance in Al/PTFE reactive materials, which is conducive to the safer and more reliable engineering application of reactive composites.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"142 ","pages":"Article 105409"},"PeriodicalIF":5.6,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145840447","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Xiang Wang , Zhende Zhu , Yingjie Chen , Shu Zhu , Xiangcheng Que , Chong Shi , Semaierjiang Maimaitiyusupu
{"title":"Experimental and numerical analysis of temperature and cooling medium on the mode-I fracture behavior of granite","authors":"Xiang Wang , Zhende Zhu , Yingjie Chen , Shu Zhu , Xiangcheng Que , Chong Shi , Semaierjiang Maimaitiyusupu","doi":"10.1016/j.tafmec.2025.105431","DOIUrl":"10.1016/j.tafmec.2025.105431","url":null,"abstract":"<div><div>The fracture properties of rock are critical in controlling the propagation of fracture networks in Enhanced Geothermal Systems (EGS). This study aims to investigate the mechanisms by which different temperatures (150 °C, 300 °C, 450 °C, 600 °C) and cooling methods (natural cooling, water cooling, liquid nitrogen cooling) influence the fracture toughness and crack propagation behavior of granite. Through a combination of split tests on Brazilian disc specimens with pre-existing flaws and numerical simulation, the following key conclusions are drawn: (1) The heat treatment temperature is the dominant factor causing the degradation of the mode-I fracture toughness (K<sub>IC</sub>) of granite. After treatment at 600 °C, the K<sub>IC</sub> of specimens cooled by liquid nitrogen dropped to approximately 0.69 MPa·m<sup>1</sup>/<sup>2</sup>, representing a maximum degradation of 49 % compared to the value at room temperature (1.35 MPa·m<sup>1</sup>/<sup>2</sup>). (2) At a given temperature, the cooling rate acts as a “damage amplifier”. At 600 °C, the K<sub>IC</sub> of water-cooled and liquid nitrogen-cooled specimens was further reduced by approximately 19 % and 16 %, respectively, compared to naturally cooled specimens. (3) Numerical simulations reveal the degradation mechanism from the perspective of pre-damage to the crack driving force: the intense thermal tensile stress generated at the crack tip during rapid cooling is equivalent to a pre-load on the crack. (4) The crack path transitions from straight and stable propagation under low temperatures/natural cooling to unstable deflection and branching under high temperatures/rapid cooling. This study quantitatively elucidates the origin of thermal damage from a fracture mechanics perspective, providing theoretical support for the optimization of thermal fracturing technologies.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"142 ","pages":"Article 105431"},"PeriodicalIF":5.6,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884008","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Wenhui Sun , Zhenggang Duan , Yifei Li , Xiaojian Cao , Shuyang Yu
{"title":"Fracture behaviors of bedded rock-like specimens with pre-existing flaws under three-point bending: An integrated experimental and numerical study","authors":"Wenhui Sun , Zhenggang Duan , Yifei Li , Xiaojian Cao , Shuyang Yu","doi":"10.1016/j.tafmec.2025.105420","DOIUrl":"10.1016/j.tafmec.2025.105420","url":null,"abstract":"<div><div>To examine the fracture properties of rock-like materials containing combined defects (prefabricated fissures and bedding planes) under tensile stress, specimens with varying bedding angles (<em>α</em>) and fissure angles (<em>β</em>) were produced via sand 3D printing technology. This study conducted three-point bending tests, systematically integrating Digital Image Correlation (DIC) technology with Particle Flow Code (PFC2D) simulations. The results demonstrate that crack propagation exhibits three typical stages, with failure modes classified into tension-dominated, shear-dominated, and mixed cracks based on DIC analysis. The propagation paths are synergistically controlled by <em>α</em> and <em>β</em>. In terms of mechanical properties, peak loads generally increased as <em>α</em> decreased, reaching an optimal capacity of 834.09 kPa at <em>α</em> = 0°. Conversely, strength fluctuated with increasing <em>β</em>, dropping to a minimum of 168.81 kPa at <em>β</em> = 45°. Numerical simulations, which aligned well with experimental observations, further revealed the energy dissipation mechanism, highlighting that horizontal bedding planes possess significant energy storage advantages. Stress distribution analysis indicated that failure evolution is governed by stress redistribution at the interfaces between fissures and bedding. These findings provide a theoretical basis for the stability evaluation of bedding-fissure composite rock masses.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"142 ","pages":"Article 105420"},"PeriodicalIF":5.6,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884098","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yu Zhao, Xiaojiang Deng, Mingxuan Shen, Jing Bi, Chaolin Wang, Yongfa Zhang, Yang Li, Lin Ning
{"title":"Effect of surface roughness on acousto-optic characteristics and energy evolution of cracked concrete-sandstone","authors":"Yu Zhao, Xiaojiang Deng, Mingxuan Shen, Jing Bi, Chaolin Wang, Yongfa Zhang, Yang Li, Lin Ning","doi":"10.1016/j.tafmec.2025.105407","DOIUrl":"10.1016/j.tafmec.2025.105407","url":null,"abstract":"<div><div>Concrete-rock interfaces are commonly encountered in civil engineering applications, where structural defects and interfacial instability may lead to significant safety risks. This study investigates the fracture behavior of concrete-sandstone composite specimens under varying interface roughness and inclination angles. The crack stress evolution, including crack closure stress, crack initiation stress, crack coalescence stress, and peak stress, was evaluated using acoustic emission (AE)-based micro-fracture theory and energy analysis. Digital image correlation (DIC) was employed to monitor strain field variations at each critical stress stage. Furthermore, macroscopic failure patterns under different interface conditions were comparatively analyzed using both conventional crack classification methods and a Gaussian mixture model-based clustering approach based on RA-AF characteristics. The results indicate that, in the traditional crack classification approach, tensile cracks account for more than 90 % of the cracks observed in specimens with varying interface roughness and inclination angles, suggesting a relatively simple failure mechanism. In contrast, the crack classification based on Gaussian mixture clustering reveals a tensile-shear mixed failure mode, which aligns more closely with the macroscopic failure behavior of the specimens. Furthermore, significant variations in AE amplitude entropy, AE average frequency entropy, and AE energy entropy are observed across the four stress stages preceding specimen failure, demonstrating their potential as precursor indicators for failure in concrete-rock interfaces</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"142 ","pages":"Article 105407"},"PeriodicalIF":5.6,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145840528","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Experimental and numerical study on dynamic mechanical properties of concrete-rock composite specimens with arc-shaped defects in the rock","authors":"Ruotong Song , Sen Wen , Min Zhang , Xiaohui Ni","doi":"10.1016/j.tafmec.2025.105391","DOIUrl":"10.1016/j.tafmec.2025.105391","url":null,"abstract":"<div><div>To fully account for the influence of arc-shaped blast hole traces on the dynamic tensile behavior of the rock-concrete interface during drilling and blasting construction, this study takes the surrounding rock-concrete bearing structure of a tunnel as the prototype. Combined with Split Hopkinson Pressure Bar (SHPB) tests and a coupled PFC3D-FLAC3D numerical model, the dynamic tensile properties of concrete-rock composite specimens with arc-shaped defects in the rock were systematically investigated under different interface inclination angles (the angle between the incident wave and the chord of the arc-shaped interface), incident directions, residual hole depths, and incident wave parameters. The results show that as the interface inclination angle increases from 0° to 90°, the tensile strength of marble-concrete, sandstone-concrete, and granite-concrete specimens increases by 64.42 %, 36.5 %, and 52.54 %, respectively. The failure mode shifted from interfacial fracture to composite fracture. When the wave is incident from the concrete side, the specimens exhibit higher dynamic tensile strength than when the wave is incident from the rock side; for the granite-concrete specimen at an interface angle of 60°, the maximum stress difference reaches 18.6 %. The residual hole depth significantly affects the peak stress, with a variation of −7.7 % to 43 %, controlled by the interface inclination. Moreover, as the incident wave amplitude increases, the stress growth is also influenced by the rock-concrete strength difference and interfacial bonding properties. This study provides theoretical support for optimizing shotcrete support in drill-and-blast tunnels.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"142 ","pages":"Article 105391"},"PeriodicalIF":5.6,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145738008","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}