Theoretical and Applied Fracture Mechanics最新文献

{"title":"Employing sand 3D printing technology and DEM to investigate the fracture mechanisms of array fissured tunnel specimens","authors":"Lei Zhang,&nbsp;Yifei Li,&nbsp;Shuyang Yu","doi":"10.1016/j.tafmec.2026.105894","DOIUrl":"10.1016/j.tafmec.2026.105894","url":null,"abstract":"<div><div>Array fissures in natural rock mass easily trigger instability of tunnel surrounding rock. Most existing studies focus on a small number of isolated fissures, which fail to reveal the dominant control mechanism of spatial characteristics of array fissures on tunnel fracture. Moreover, traditional specimen preparation cannot accurately regulate complex fissures. This paper aims to clarify the influence laws of the number, inclination angle and length of array fissures on crack initiation, propagation and instability of horseshoe-shaped tunnels. A series of controllable tunnel specimens with array fissures are integrally fabricated via sand 3D printing technology, and uniaxial compression tests are carried out combined with DIC to observe full-field strain evolution. The parallel bond model of PFC2D discrete element method is adopted to calibrate mesoscopic parameters, reproducing crack propagation and stress distribution characteristics under different conditions. Specimens without fissures present vertical tensile brittle failure; array fissures transfer the stress concentration around the tunnel to fissure tips, leading to an average 75.2% reduction in the peak strength of specimens. The peak strength rises significantly with the increase of fissure inclination angle, while the number and length of fissures exert weak effects on strength. The stress curves of fissured specimens exhibit multiple stress drops, and long fissures and large-inclination fissures tend to form shear fracture zones penetrating the tunnel. The simulated fracture morphologies are highly consistent with experimental results. Crack initiation of intact tunnels is governed by stress redistribution around the tunnel contour, whereas array fissures dominate surrounding rock failure through tensile stress concentration at fissure tips. Fracture inclination angle acts as the key parameter controlling the bearing performance of surrounding rock. The research results can provide experimental and numerical bases for stability evaluation and support optimization of tunnels in fractured rock mass.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"147 ","pages":"Article 105894"},"PeriodicalIF":6.0,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148951174","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":"Dynamic mechanical behavior and fracture mechanism of S-shaped fissured rock under triaxial confinement","authors":"Gang Sun,&nbsp;Junxiang Wang,&nbsp;Jinlu Ba","doi":"10.1016/j.tafmec.2026.105897","DOIUrl":"10.1016/j.tafmec.2026.105897","url":null,"abstract":"<div><div>Rock masses inherently contain complex fissure geometries and are frequently subjected to coupled static–dynamic loading. Existing studies have largely simplified these fissures as straight fissures and focused on single loading conditions. To address this gap, dynamic compression tests under triaxial static loading were conducted on rock specimens with S-shaped fissures. A rate-dependent dynamic damage model based on uni-bond dual-parameter peridynamics (UDPD) was employed to simulate the dynamic fracture process of S-shaped fissured rock subjected to coupled static–dynamic loading. After the numerical results were validated against experimental data, the effects of burial depth and fissure angle on the dynamic mechanical properties, energy dissipation, and fracture mechanisms of S-shaped fissured rock were further investigated. The findings indicate that an increase in burial depth leads to a reduction in the dynamic strength of rock, but results in higher total strength and energy dissipation density. When the fissure angle is 45° or greater, crack initiation shifts from the fissure tips to the inflection point. As depth increases, the length of cracks emanating from the inflection point decreases. For fissure angles less than or equal to 15°, the cracks initiating from the tips of the S-shaped fissure form an arched penetration zone together with its inflection point. Based on the displacement trend lines and the calculated relative displacements, four distinct cracking mechanisms were identified. These findings uncover the crack propagation laws and fracture mechanisms of S-shaped fissured rock masses, which can serve as a reference for the design of deep underground structures.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"147 ","pages":"Article 105897"},"PeriodicalIF":6.0,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148951296","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":"Interface-controlled fracture evolution and AE spectral precursor identification in cracked red sandstone–concrete composites","authors":"Wenlong Gou,&nbsp;Kunpeng Lu,&nbsp;Guotao Ma,&nbsp;Wuzhou Zhang,&nbsp;Yantao Zheng","doi":"10.1016/j.tafmec.2026.105902","DOIUrl":"10.1016/j.tafmec.2026.105902","url":null,"abstract":"<div><div>Cracked rock–concrete composites are common in red-bed tunnel support systems, where weak interfaces and pre-existing flaws jointly control crack coalescence and instability. To clarify how such fracture processes modify acoustic emission (AE) precursors, C40 concrete–red sandstone composite specimens containing two parallel flaws were tested under uniaxial compression with synchronized AE monitoring. Five flaw inclinations, 0°, 30°, 45°, 60° and 90°, were considered. AE energy evolution, power-law statistics, Gaussian mixture model-assisted RA–AF analysis, Mel-frequency cepstral coefficients (MFCCs) and Bayesian online change-point detection (BOCPD) were integrated to relate macroscopic fracture modes to spectral state transitions. The specimens showed a progressive sequence of crack closure, stable damage, local flaw activation and unstable coalescence, while flaw inclination controlled the timing and concentration of high-energy AE events. AE energy followed a power-law distribution, with maximum-likelihood exponents of 1.44–1.64, indicating avalanche-like cascade rupture. GMM–RA–AF results revealed a transition from tensile splitting at 0° to mixed tensile–shear failure at higher inclinations; the shear component peaked at 55.9% for 60°. Low-order MFCCs dominated the spectral response, suggesting that flaw–interface interaction reconstructed the AE spectral envelope before failure. BOCPD identified change points at 90.45–110.19 s, with absolute lead times of 6.27–49.09 s and normalized lead times of 5.99%–30.82%, generally earlier than the objectively identified b-value anomalies.The results indicate that instability precursors are governed not only by increased AE activity, but by statistical transitions in AE spectral structure induced by fracture-mode reorganization.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"147 ","pages":"Article 105902"},"PeriodicalIF":6.0,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148951301","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":"Evaluation of the Z-shaped center-cracked direct shear method for dynamic mode II fracture toughness testing in rock","authors":"Peiwang Cao,&nbsp;Tao Zhou,&nbsp;Rui Li,&nbsp;Wenjie Feng,&nbsp;Honglue Qu,&nbsp;Jianbo Zhu","doi":"10.1016/j.tafmec.2026.105888","DOIUrl":"10.1016/j.tafmec.2026.105888","url":null,"abstract":"<div><div>Dynamic mode II fracture toughness of rock remains insufficiently understood due to the difficulty in achieving shear-dominated crack-tip conditions under impact loading. This study evaluated the applicability of the <em>Z</em>-shaped center-cracked direct shear (ZCCDS) specimen for dynamic mode II fracture toughness testing in a split Hopkinson pressure bar (SHPB) system through theoretical analysis and experimental investigation. The characteristics of true mode II fracture were clarified theoretically, and the ZCCDS configuration closest to true mode II fracture was first identified by numerical analysis, crack paths and digital image correlation observations under quasi-static loading. On this basis, dynamic ZCCDS-SHPB tests were conducted under different loading rates and geometric parameters. The results show that when the offset ratio is 0.25 and the crack ratio is 0.3, the ZCCDS sandstone specimen is closest to true dynamic mode II fracture, characterized by nearly coplanar crack propagation along the original crack plane and displacement vectors near the crack tip dominated by in-plane relative sliding. Under this condition, the dynamic mode II fracture toughness of sandstone increases from 12.27 to 28.08 MPa·m^0.5 with increasing loading rates, and the dynamic peak shear load increases markedly. Additionally, the quantitative analysis of microscopic fracture features indicates that this increase is closely related to the transition of crack growth toward shear-dominated transgranular damage and grain sliding/crushing. These findings provide experimental evidence for assessing the applicability of the ZCCDS method in dynamic mode II fracture testing and offer insights into the loading-rate dependence of mode II fracture behaviour in rocks.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"147 ","pages":"Article 105888"},"PeriodicalIF":6.0,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148854197","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":"Analysis of fracture processes in quasi-brittle materials based on a unified representation of geometric-material-interface heterogeneities","authors":"Yi Xie,&nbsp;Zhaofeng Wang,&nbsp;Pengzhi Pan,&nbsp;Xingguang Zhao,&nbsp;Ning Yang,&nbsp;Qingsong Zheng,&nbsp;Wanquan Mei","doi":"10.1016/j.tafmec.2026.105896","DOIUrl":"10.1016/j.tafmec.2026.105896","url":null,"abstract":"<div><div>Geometric-material-interface heterogeneities, including voids, inclusions, material interfaces and fissures, are commonly found in rocks, concrete and multiphase quasi-brittle materials, where they strongly influence local stress transfer, crack growth trajectories and macroscopic failure behaviour. Since voids, inclusions and cracks correspond to internal free boundaries, material-parameter discontinuities and strong displacement discontinuities, respectively, the unified representation of complex heterogeneous structures, dynamic topological updating and state inheritance after remeshing remain challenging. Therefore, a numerical method for crack propagation in quasi-brittle materials based on dynamic incremental topology and nearest integration-point material mapping is proposed. Based on Boolean operations and spatial partitioning, the method represents voids by the difference operation, inclusions by the intersection operation and cracks by dimensional-elevation cutting, thereby transforming voids, inclusions and cracks into a unified spatial-region partitioning problem. On this basis, the dynamic evolution of pore phases, material-parameter discontinuities and strong displacement discontinuities is described by the dynamic subtraction of regions enclosed by internal boundaries, dynamic assignment of material partitions, and updating of parent crack lines with auxiliary narrow-band cutting, respectively. Combined with nearest Gaussian integration-point material mapping and residual equilibrium correction, the displacement field and material properties are inherited, while mechanical equilibrium is restored after remeshing. The verification results show that the method can accurately predict the opening displacement of a central crack, the crack propagation path in an L-shaped panel, the coalescence behaviour of double fissures with circular holes, and the influence of inclusions on the stress intensity factor (SIF) at crack tips. The single-step field-variable mapping and equilibrium-recovery time is only 0.03066 s, representing a 59.94-fold improvement in efficiency over the reference method. The examples containing randomly distributed multiple fissures, voids and inclusions further demonstrate the stability and applicability of the proposed method for simulating complex crack-void-inclusion interactions.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"147 ","pages":"Article 105896"},"PeriodicalIF":6.0,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148854196","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":"Integrated Digital Image Correlation for experimental Generalized Stress Intensity Factors determination","authors":"Rafael Vargas,&nbsp;Hugo Girard,&nbsp;Joël Lachambre,&nbsp;Aurélien Doitrand","doi":"10.1016/j.tafmec.2026.105871","DOIUrl":"10.1016/j.tafmec.2026.105871","url":null,"abstract":"<div><div>Generalized Stress Intensity Factors (GSIFs) at 30 deg. V-notch tips in epoxy Arcan specimens under shear and opening mixed-mode loading are experimentally estimated using Integrated Digital Image Correlation (IDIC). The approach is based on asymptotic displacement fields and implemented with the open-source code pyFEDIC, for which a minimal working example is provided. Analysis of gray level and displacement residuals is used to improve the selection of the region of interest for IDIC, taking a classical finite element-based DIC as reference. The proposed approach, which is compared to the common fitting DIC data in analytical fields, enables the measurement of opening and shear GSIF variations prior to crack initiation, the corresponding mode mixities for several Arcan specimen positions, as well as non-singular terms that helps reducing gray level residuals. Dual mode GSIFs are also included in the analysis, enabling the characterization of local nonlinearity development such as a process zone at the V-notch tip, quantified either directly from the dual mode GSIF magnitude, or from a shift in the equivalent V-notch tip position within the IDIC formulation.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"147 ","pages":"Article 105871"},"PeriodicalIF":6.0,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148854267","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Particle mechanics method of fracture and failure patterns in surrounding rock of roadways under static-dynamic loads","authors":"Xiao Zhou ,&nbsp;Hossein Nowamooz","doi":"10.1016/j.tafmec.2026.105687","DOIUrl":"10.1016/j.tafmec.2026.105687","url":null,"abstract":"<div><div>Investigating the damage accumulation and fracture mechanisms of fractured rock masses under combined static in-situ stress and dynamic perturbations (e.g., mining-induced vibrations) is crucial for predicting roadway instability, optimizing support design, and mitigating dynamic hazards. This study conducts numerical simulations using PFC2D, with a static-dynamic loading module implemented via FISH functions, to analyze the mechanical response of roadway surrounding rock and the dynamic propagation characteristics of cracks. The results reveal the micro-mechanical mechanisms governing crack propagation under varying dynamic loading conditions and are further extrapolated to the failure behavior of mining roadways during extraction. Numerical results agree well with physical experiments, showing distinct shear bands on both roadway sides and crack coalescence patterns significantly influenced by dynamic loading frequency, amplitude, and fracture dip angle. The evolution of mining-induced fractures under static-dynamic loading follows a consistent sequence: point-like crack initiation → line-like propagation → surface-like coalescence. Damage in surrounding rock of roadway severity intensified with increasing mining distance. These insights enhance the understanding of dynamic failure mechanisms in fractured rock masses and support hazard assessment in deep mining environments.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"145 ","pages":"Article 105687"},"PeriodicalIF":5.6,"publicationDate":"2026-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147995594","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":"Development of a finite-strain phase-field formulation for thermo-mechanical brittle fracture in Total Lagrangian SPH and its comparative assessment with pseudo-spring model","authors":"Jerome Samuel Stephen ,&nbsp;Md Rushdie Ibne Islam","doi":"10.1016/j.tafmec.2026.105481","DOIUrl":"10.1016/j.tafmec.2026.105481","url":null,"abstract":"<div><div>This work presents the development of a finite-strain phase-field formulation for thermo-mechanical brittle fracture within the Total Lagrangian Smoothed Particle Hydrodynamics (TLSPH) framework and its comparative assessment with the pseudo-spring model. The proposed formulation extends TLSPH to coupled thermo-mechanical conditions through a multiplicative decomposition of the deformation gradient into elastic and thermal components, enabling consistent treatment of large deformations and temperature-dependent stresses. A hyperbolic regularization of the phase-field evolution equation is adopted to enhance stability and alleviate time-step restrictions inherent in parabolic formulations. Four representative problems are investigated: thermal cracking in a double-notched specimen, expansion-induced fracture in a two-layer cylindrical rock, dynamic crack branching in a notched plate under combined loading, and thermal-shock-induced fracture in ceramics. Results are validated against experimental and numerical data, with quantitative comparisons of crack paths, crack-tip velocity, branching angle, and strain–energy dissipation. The phase-field TLSPH formulation accurately captures continuous and parallel crack evolution under severe thermal gradients, whereas the pseudo-spring model efficiently reproduces multiple small radial cracks in heterogeneous media but exhibits spurious local damage under abrupt thermal shocks. The study establishes a robust particle-based framework for thermo-mechanical fracture and clarifies the relative strengths and limitations of continuum and discrete fracture representations within TLSPH.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"143 ","pages":"Article 105481"},"PeriodicalIF":5.6,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146078525","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":"Peridynamic modeling of ballistic impact on metallic-ceramic functionally graded Sandwich plates","authors":"Ioannis Sioutis,&nbsp;Konstantinos Tserpes","doi":"10.1016/j.tafmec.2026.105435","DOIUrl":"10.1016/j.tafmec.2026.105435","url":null,"abstract":"<div><div>Functionally Graded Sandwich Plates (FGSP) composed of metallic-ceramic layers have been widely investigated for their superior ballistic performance. Their through-the-thickness variation in material properties significantly enhances energy dissipation and resistance to projectile penetration. While traditional numerical FEA tools such as LS-Dyna can simulate such phenomena with reasonable accuracy, the non-local method of peridynamics (PD) offers a promising alternative for capturing complex fracture and failure mechanisms, particularly under dynamic loading. To the authors' best knowledge, direct comparison of the two methods in computational terms on an actual case study has been lacking from literature. In the present article, the ballistic impact of a 0.30 caliber steel projectile to a 7-layer Al-SiC composite FGSP is numerically examined using a bond-based PD framework. Although LS-Dyna was initially selected for both FEA and PD simulations, limitations of the available PD implementation necessitated the adaptation of LAMMPS molecular dynamics simulator to accommodate a fully customized bond-based PD model. A comprehensive parametric study was performed, including variations in lattice discretization, horizon radius and material inhomogeneity, to assess the accuracy and robustness of the PD approach. Comparative analysis against conventional FEA results is presented, highlighting the strengths and limitations of each method in predicting impact response, failure modes and damage evolution. The results demonstrate that the PD method provides enhanced resolution of fracture phenomena, offering valuable insights into the design of advanced FGSPs in ballistic protection applications.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"143 ","pages":"Article 105435"},"PeriodicalIF":5.6,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145940250","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":"Cross-scale crack evolution in pre-flawed sandstone under high temperature: Insights from a composition-aware thermal-mechanical grain-based model","authors":"Shi Liu ,&nbsp;Zhipeng Zhang ,&nbsp;Qixing Wu ,&nbsp;Chun Feng ,&nbsp;Chen Chen ,&nbsp;Xiasong Hu","doi":"10.1016/j.tafmec.2026.105450","DOIUrl":"10.1016/j.tafmec.2026.105450","url":null,"abstract":"<div><div>In deep energy extraction, thermal damage induced by high temperatures critically degrades the mechanical integrity of rock, posing substantial risks to engineering safety. To systematically clarify the damage mechanisms under coupled thermal-mechanical-fracture conditions, this study develops a novel Composition-Aware Thermal-Mechanical Grain-Based Model (CATM-GBM).This model explicitly integrates the rock's quantitative mineralogical composition and spatial heterogeneity, implementing a temperature-dependent thermal expansion function to capture differential mineral degradation and employing parallel bond model and smooth joint model to simulate intergranular tensile and intragranular shear failure modes. Results demonstrate pronounced mechanical degradation under high-temperature exposure, characterized by marked reductions in uniaxial compressive strength and elastic modulus, significant increases in peak axial strain, and a coherent transition from brittle to ductile post-peak behavior. Crack analysis reveals tensile-dominated failure throughout loading and identifies a critical transition near 500 °C: intergranular cracking prevails below this threshold, while intragranular cracking dominates above it due to intensified thermal mismatch stresses and micro-damage within mineral grains. Pre-existing flaws control macroscopic failure patterns, promoting through-going “X”-shaped conjugate shear bands in flawed specimens, in contrast to localized “V”-shaped failures in intact ones. Microscopically, deviatoric loading induces particle-scale anisotropy, triggering progressive grain rotation, slip, and contact network destabilization. Macroscopically, cracks initiate predominantly at flaw tips and propagate to form specimen-scale through-fractures. This research provides a systematic, multi-scale decoupling of thermal cracking evolution in fractured sandstone, establishing a robust predictive numerical framework for assessing thermomechanical stability in critical deep geological engineering applications, including enhanced geothermal systems and deep geological repositories for nuclear waste.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"143 ","pages":"Article 105450"},"PeriodicalIF":5.6,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145940287","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}