Engineering Fracture Mechanics最新文献

{"title":"Brittle crack propagation simulation based on the Virtual Element Method and Jk-integral fracture criterion","authors":"Yujie Chen ,&nbsp;Dexin Sun ,&nbsp;Umberto Perego ,&nbsp;Qun Li","doi":"10.1016/j.engfracmech.2024.110684","DOIUrl":"10.1016/j.engfracmech.2024.110684","url":null,"abstract":"<div><div>Crack propagation simulation is a challenging topic in computational fracture mechanics, and the main issue is modeling the displacement discontinuity in the existing finite element mesh. The Virtual Element Method (VEM), as an extension of the Finite Element Method (FEM), permits the usage of arbitrarily shaped elements, including non-convex polygons or elements with hanging vertices, and has no distortion sensitivity. These features greatly facilitate VEM in addressing the crack propagation problem. An arbitrary crack propagation path can be achieved during the crack propagation process because the local mesh can be modified by adding or deleting vertices and/or edges, and by splitting one element into two polygons. This study simulates brittle crack propagation by the VEM with an element split strategy. The <span><math><msub><mrow><mi>J</mi></mrow><mrow><mi>k</mi></mrow></msub></math></span>-integral fracture criterion has been employed to determine the crack initiation and predict the crack propagation direction for mixed-mode loading conditions. The <span><math><msub><mrow><mi>J</mi></mrow><mrow><mi>k</mi></mrow></msub></math></span>-integral is computed directly by the path integral rather than by the domain integral, and its conservation has been verified. Some numerical applications have been implemented, including a mode-I crack problem test, a shear test of a single-edge notched plate and two different three-point bending tests. The numerical results show good agreement with the experiments, which verify the validity of the proposed simulation method for crack propagation.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"314 ","pages":"Article 110684"},"PeriodicalIF":4.7,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143166105","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":"Fracture modeling in cracked Brazilian discs based on the topological derivative method","authors":"M. Xavier ,&nbsp;D.S. Duarte ,&nbsp;L.C.S. Nunes","doi":"10.1016/j.engfracmech.2025.110887","DOIUrl":"10.1016/j.engfracmech.2025.110887","url":null,"abstract":"<div><div>Brazilian disc tests are often used to study the mixed-mode fracture toughness and the crack behavior of rock-like materials. In this work, the predictive capability of the topological derivative method using the Francfort–Marigo damage model for describing the brittle fracture nucleation and propagation processes of centrally cracked Brazilian discs is presented. Simulations were carried out for different angles of the initial pre-crack with respect to the applied compressive load, enabling the analysis of configurations involving the combination of shearing and opening modes. The numerical results demonstrated that the proposed approach may adequately capture the fracturing processes in the Brazilian discs, showing an excellent correlation with experimental data from the literature. These processes include failure characterization and typical fracture trajectories.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"316 ","pages":"Article 110887"},"PeriodicalIF":4.7,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143388175","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":"Self-affine roughness and spatial-temporal correlation of shear-induced micro-fractures in rough DEM rock joints","authors":"Alberto Varela-Valdez ,&nbsp;Gilles Pijaudier-Cabot ,&nbsp;Moisés Hinojosa Rivera ,&nbsp;Victor I. German-Flores ,&nbsp;Stéphane Morel","doi":"10.1016/j.engfracmech.2024.110767","DOIUrl":"10.1016/j.engfracmech.2024.110767","url":null,"abstract":"<div><div>We investigate the spatial and temporal correlations of micro-fractures generated during shear simulations of rough rock joints using the Discrete Element Method (DEM). Eight numerical joints were meticulously designed, characterized by distinct self-affine roughness parameters: the Hurst exponent <span><math><mrow><mi>H</mi></mrow></math></span>, self-affine correlation length <span><math><mrow><msub><mi>L</mi><mi>c</mi></msub></mrow></math></span>, and variance of heights <span><math><mrow><msup><mrow><mi>σ</mi></mrow><mn>2</mn></msup></mrow></math></span>. Shearing was conducted under quasi-static conditions, maintaining constant normal load (CNL) and constant shear speed. The DEM model underwent calibration to faithfully replicate the mechanical behavior observed in experimental compression, tension and shear tests on synthetic rock. Remarkably, our results unveil a power-law behavior in both spatial and temporal dimensions. The probability distribution <span><math><mrow><mi>P</mi><mo>(</mo><mi>Δ</mi><mi>d</mi><mo>)</mo></mrow></math></span> describing the separation distance <span><math><mrow><mi>Δ</mi><mi>d</mi></mrow></math></span> between two fractures follows a power-law relationship: <span><math><mrow><mi>P</mi><mrow><mo>(</mo><mi>Δ</mi><mi>d</mi><mo>)</mo></mrow><mspace></mspace><msup><mrow><mi>Δ</mi><mi>d</mi></mrow><mrow><mo>-</mo><mi>q</mi></mrow></msup></mrow></math></span>, where the exponent <span><math><mrow><mi>q</mi></mrow></math></span> ranges between 0.4 and 0.8, displaying a marked sensitivity to joint roughness. Additionally, the probability <span><math><mrow><mi>p</mi><mo>(</mo><mi>Δ</mi><mi>t</mi><mo>)</mo></mrow></math></span> of two fractures occurring within a time interval <span><math><mrow><mi>Δ</mi><mi>t</mi></mrow></math></span> during shearing also conforms to a power-law distribution: <span><math><mrow><mi>P</mi><mrow><mo>(</mo><mi>Δ</mi><mi>t</mi><mo>)</mo></mrow><mspace></mspace><msup><mrow><mi>Δ</mi><mi>t</mi></mrow><mrow><mo>-</mo><mi>p</mi></mrow></msup></mrow></math></span>. For mechanically interacting micro-fractures, <span><math><mrow><mi>n</mi></mrow></math></span> ranges from 0.716 to 0.869, while for micro-fractures generated across the entire joint area (not necessarily interacting fractures), <span><math><mrow><mi>n</mi></mrow></math></span> takes values between 1.458 and 1.895. Notably, these findings underscore a remarkable analogy with the Omori law in seismic activity.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"314 ","pages":"Article 110767"},"PeriodicalIF":4.7,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143164612","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":"Fatigue life prediction model for welded stainless steel connections considering mean stress under random vibration","authors":"Shao-Dong Wu ,&nbsp;De-Guang Shang ,&nbsp;Chang Zhou ,&nbsp;Jing-Xin Ma ,&nbsp;Ze-Peng Ma ,&nbsp;Bo-Cheng Zhao","doi":"10.1016/j.engfracmech.2024.110770","DOIUrl":"10.1016/j.engfracmech.2024.110770","url":null,"abstract":"<div><div>For vibration response signals with mean stress, a Rayleigh function with a multiplier was used to fit the probability distribution of stress amplitude corrected to vibration response signals with zero mean stress. An equation was developed by the obtained S-N curves for welded 1Cr18Ni9Ti stainless steel connections with stress ratios of −1, 0.1, and 0.5, respectively, to convert the stress amplitudes of cyclic loadings with different mean stress to stress amplitudes with zero mean stress for the same fatigue life. Based on the S-N curve of material with a stress ratio of −1 and the Miner linear damage accumulation theory, a vibration fatigue life prediction method was proposed. The results of the random vibration fatigue test with non-zero mean stress on the pipeline of the launch vehicle have verified the accuracy of the proposed method.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"314 ","pages":"Article 110770"},"PeriodicalIF":4.7,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143164617","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":"Investigation of microscale brittle fracture opening in diamond with olivine inclusion using XFEM and cohesive zone modeling","authors":"Biswabhanu Puhan ,&nbsp;Alessia Patton ,&nbsp;Simone Morganti ,&nbsp;Greta Rustioni ,&nbsp;Alessandro Reali ,&nbsp;Matteo Alvaro","doi":"10.1016/j.engfracmech.2024.110713","DOIUrl":"10.1016/j.engfracmech.2024.110713","url":null,"abstract":"<div><div>Inclusions trapped in diamonds are a fundamental source of information to probe the Earth’s interior, provided that the pressure conditions at which the diamond grew are correctly determined. This study explores the traditional assumptions in geothermobarometry for olivine-in-diamond host-inclusion systems by employing extended finite element methods (XFEM) and cohesive zone models (CZM) to quantify the contributions of brittle fractures to the relaxation of the residual stress of inclusions. Our analysis was performed assuming that the host-inclusion system does not contain fluids and that the unfractured minerals are elastically isotropic. Our models show that the damage initiation is solely dependent on the shape of the inclusion and on the fracture strength of the diamond host, while the fracture nucleation is influenced by both the size of the inclusion and the toughness of the diamond. Our findings indicate that, in dry systems, the amount of relaxation of residual stress of the inclusion due to the opening of brittle fractures is much lower than that due to the elastic interaction between the host and the inclusion. Moreover, the pressure release due to fractures is not substantially affected by the shape of the inclusion. We also show that the total relaxation of the residual pressure due to the combined effect of the elastic interaction and the brittle deformation is lower than what is observed in natural samples, even when assuming fracture strength and toughness lower than those reported from experiments on single crystals of diamond. Such discrepancies suggest that in natural olivine-diamond systems additional mechanisms such as viscous or plastic deformation and/or the presence of preexisting defects and fluids in the host might play a relevant role in the relaxation of the residual stress. These findings underscore the need for advanced numerical tools that consider the complex interplay of the geometry of the host-inclusion system, the fracture properties, and the presence of fluids and defects in order to build more accurate models to constrain the geological history of diamonds.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"314 ","pages":"Article 110713"},"PeriodicalIF":4.7,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143164999","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":"A hybrid method of coupling phase field model and linear elastic model to simulate fracture using cell-based smooth finite element method and finite element method","authors":"Yuanfeng Yu ,&nbsp;Chi Hou ,&nbsp;Timon Rabczuk ,&nbsp;Meiying Zhao","doi":"10.1016/j.engfracmech.2024.110750","DOIUrl":"10.1016/j.engfracmech.2024.110750","url":null,"abstract":"<div><div>The phase field model’s computational efficiency is increased in this work by connecting it to the linear elastic model. Firstly, the whole region is split up into many subregions, and each region’s mechanical characteristics determine which matching solution scheme to use. The linear elastic model lowers computational costs by allowing the use of rougher mesh and solving problems in non-crack areas. Only crack patterns inside the fracture propagation region may be predicted using the phase field model. Secondly, the model is implemented in a hybrid computational framework, which combines the computational efficiency of the cell-based smooth finite element technique (CSFEM) with the traditional finite element method (FEM). Lastly, illustrative instances are applied to verify the coupled model. The findings demonstrate that the energy and mechanical parameters for the coupled model and the pure phase field model coincide quite well. In addition to reducing computation time, the simulation findings of the coupled model are identical to those of the pure phase field model, and the fracture trajectories of the test samples are unaffected regardless of the failure modes.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"314 ","pages":"Article 110750"},"PeriodicalIF":4.7,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143165261","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":"Comparative experimental investigation on shale fracture propagation induced by high-temperature water and carbon dioxide","authors":"Jiao Ge ,&nbsp;Chuanjin Yao ,&nbsp;Qi Zhang ,&nbsp;Xingheng Huang ,&nbsp;Tiankui Guo ,&nbsp;Shenglai Guo","doi":"10.1016/j.engfracmech.2024.110727","DOIUrl":"10.1016/j.engfracmech.2024.110727","url":null,"abstract":"<div><div>High-temperature convective heating is a promising in situ conversion method that has the potential to improve the productivity of oil and gas reservoirs substantially. Thermal fluid can efficiently fracture rocks and enhance the permeability of reservoirs. A self-developed in situ high-temperature convective thermal simulation experimental equipment was utilized to fracture shale in this research. The patterns of fracture propagation in shale fractured by high-temperature water and CO₂ were systematically investigated. The experimental results indicated that high-temperature convective heat may significantly decreased the fracture pressure and increased the complexity of fracture propagation. In comparison to conventional hydraulic fracturing, the fracture pressure of shale decreased by 50.75% with 450℃ water fracturing and by 62.23% with 450℃ CO₂ fracturing. The decrease in shale fracture pressure mainly resulted from the permeation of low viscosity fluid into minuscule pores or fractures, reducing the effective stress. Elevated temperature fluid induced the formation of many bending fractures, and the width of these fractures enlarged. As the temperature of the injected fluid rose, the intensity of thermal shock, the number of microcracks, and the severity of rock damage all increased. CO₂ fractured shale had more branch fractures and rough fracture surfaces than water. These characteristics facilitated the formation of complex fracture networks inside the shale. The fracture properties of thermal fluid fracturing shale were better understood through this work, which offered references for implementing in situ high-temperature convective thermal recovery in shale reservoirs.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"314 ","pages":"Article 110727"},"PeriodicalIF":4.7,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143166098","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":"Surgical face masks as reinforcement to improve the tensile mode fracture toughness of reinforced concrete under three-point bending tests","authors":"Hadi Haeri ,&nbsp;Jinwei Fu ,&nbsp;Vahab Sarfarazi ,&nbsp;Soheil Abharian ,&nbsp;Haleh rasekh ,&nbsp;Mohammad Rezaei ,&nbsp;Manoj Khandelwal","doi":"10.1016/j.engfracmech.2024.110741","DOIUrl":"10.1016/j.engfracmech.2024.110741","url":null,"abstract":"<div><div>A set of experimental three-point bending tests and numerical simulations for using surgical masks as reinforcing layers in concrete samples were carried out. Different samples were prepared for analysis with changes in the number and position of the masks. The tensile strength of concrete was measured at 2.1 MPa, while that of face musk was 4.3 MPa. In these samples, fracture patterns, maximum load, fracture toughness of state I, fracture energy, and external work at the point of peak load were investigated based on the theory of fracture mechanics. The fracture procedure of specimens without face masks evolves quicker than the specimens with face masks. When the face mask was situated upper the notch, the fracture toughness increased rapidly by increasing the face mask number. When one face mask was situated upper the notch, the fracture toughness decreases by increasing the distance between the face mask and the lower boundary. When the face mask goes through the notch, the fracture toughness has the maximum value. It decreases by increasing the distance between the face mask and the lower boundary. When two face masks exist in the model, the fracture toughness decreases by increasing the distance between the face mask and the lower boundary. In addition, the external work decreases by increasing the distance between two face masks.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"314 ","pages":"Article 110741"},"PeriodicalIF":4.7,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143166103","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":"Assessing the effects of loading rate on fracture toughness of AISI 1020 and API 5L X80 steels with hydrogen charging: experimental and numeric simulation study","authors":"Hantong Wang ,&nbsp;Ci Zhang ,&nbsp;Haonan Ma ,&nbsp;Zhi Tong ,&nbsp;Yibai Huang ,&nbsp;Ying Jin ,&nbsp;Cheng Su ,&nbsp;Wenyue Zheng","doi":"10.1016/j.engfracmech.2024.110771","DOIUrl":"10.1016/j.engfracmech.2024.110771","url":null,"abstract":"&lt;div&gt;&lt;div&gt;This study focuses on the effect of hydrogen on fracture toughness of AISI 1020 and API 5L X80 steels using experimental measurement technique and numeric simulation. Hydrogen was introduced into Single Edge Notch Bend (SENB) specimens through in-situ electrochemical charging techniques. The study varied the loading rates (K̇) and observed a significant reduction in the fracture toughness of both types of steels with hydrogen presence, worsening as loading rates decreased. The findings illustrated that the current standards of hydrogen compatibility test, which specifies a loading rate that ranges from &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mn&gt;0.1&lt;/mn&gt;&lt;mi&gt;M&lt;/mi&gt;&lt;mi&gt;P&lt;/mi&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;msqrt&gt;&lt;mi&gt;m&lt;/mi&gt;&lt;/msqrt&gt;&lt;mo&gt;/&lt;/mo&gt;&lt;mi&gt;m&lt;/mi&gt;&lt;mi&gt;i&lt;/mi&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; to &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mi&gt;M&lt;/mi&gt;&lt;mi&gt;P&lt;/mi&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;msqrt&gt;&lt;mi&gt;m&lt;/mi&gt;&lt;/msqrt&gt;&lt;mo&gt;/&lt;/mo&gt;&lt;mi&gt;m&lt;/mi&gt;&lt;mi&gt;i&lt;/mi&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; in toughness tests, may produce non-conservative results by not fully capturing the degradation at lower loading rates (K̇ &lt;＜&lt;span&gt;&lt;math&gt;&lt;mn&gt;0.1&lt;/mn&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mi&gt;M&lt;/mi&gt;&lt;mi&gt;P&lt;/mi&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;msqrt&gt;&lt;mi&gt;m&lt;/mi&gt;&lt;/msqrt&gt;&lt;mo&gt;/&lt;/mo&gt;&lt;mi&gt;m&lt;/mi&gt;&lt;mi&gt;i&lt;/mi&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;). The low-strength steel (AISI 1020) showed a fracture mode transition from the Hydrogen-Enhanced Localized Plasticity (HELP) to the Hydrogen-Enhanced Decohesion (HEDE) as the K̇ decreases. Nevertheless, the crack re-initiation sites are always found at the tips of pre-cracks, which coincide with the areas of a high local hydrogen concentration and a high plastic strain. In contrast, the crack initiation sites in X80 steel tend to shift from the regions with high-strain (i.e. near the crack front) to areas with high hydrostatic stress (some distance away from the crack front) as the K̇ decreases, although it is still a predominantly quasi-cleavage (QC) fracture mode.&lt;/div&gt;&lt;div&gt;Finite element analysis further revealed that the diffusion and trapping of hydrogen atoms are significantly influenced by the gradient of hydrostatic stress and increment of plastic strain in the crack front region. In AISI 1020 steel, the concentration of trapped hydrogen significantly exceeds that of diffusible lattice interstitial hydrogen; In this case, the trapped hydrogen predominately dictates the distribution profile of total hydrogen at all K̇ conditions, whereas in X80 steel, the relative dominance of diffusible and trapped hydrogen depends on the loading rate: at lower K̇, diffusible hydrogen concentration at lattice sites exceeds that of the trapped hydrogen and there is a dynamic equilibrium relationship between the hydrogen induced by hydrostatic stress and the hydrogen trapped by plastic strain; at higher K̇, the hydrogen in trap sites dominate the hydrogen distribution. The differences in hydrogen concentration distribution are linked with different crack nucleation behaviours of the two steels under different loading rates, as well corroborated by fractographic observa","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"314 ","pages":"Article 110771"},"PeriodicalIF":4.7,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143164586","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":"Fracture of multilayer soft materials","authors":"Kunqing Yu,&nbsp;Yijie Cai,&nbsp;Zheng Jia","doi":"10.1016/j.engfracmech.2024.110747","DOIUrl":"10.1016/j.engfracmech.2024.110747","url":null,"abstract":"<div><div>In recent decades, soft materials such as hydrogels and elastomers have been rising and continuing to develop in engineering fields. Among them, layered stretchable structures composed of multilayer soft materials have attracted widespread attention due to their excellent mechanical properties and versatility. Notably, despite the rapid advancements in the design and functional development, there remains a scarcity of research on the fracture behavior of these multilayer soft materials. To address this largely unexplored issue, in this paper we study the fracture mechanics of multilayer soft materials. A theoretical framework is established to analyze the fracture modes of film-substrate structures composed of multiple layers of soft materials under tension. Then the proposed framework is applied to investigate the fracture of typical three-layered and four-layered soft structures with pre-crack in the films. The normalized driving force and critical stretches for different configurations of cracks are calculated.<!--> <!-->Furthermore, the failure phase diagrams for different film thickness are plotted. This work provides a theoretical basis for predicting the fracture of multilayer soft materials, thereby offering quantitative guidance for the design of soft layered structures with better fracture resistance.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"314 ","pages":"Article 110747"},"PeriodicalIF":4.7,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143164588","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}