Notch Shape Research Articles

Effect of various notch shape on Lamb wave scattering behaviour in a bent plate

Abstract The application of guided waves to investigate commonly used plate shapes in the aerospace, mechanical and civil industries are plates with bend shapes. This paper investigates the interaction of fundamental Lamb waves with notches in bent plates, commonly found in aerospace, mechanical, and civil engineering applications. These areas are particularly susceptible to failure due to defects such as cracks and notches, which often manifest as semi-circular corrosion patches or 900 notches. The presence of notches affects stress distribution, necessitating thorough analysis to prevent accidents. Accordingly, this paper focus on the interaction of fundamental Lamb waves through two types of notches that could be present inside a bent metal plate section. To explore this, a hybrid numerical framework is employed which combines Semi-Analytical Finite Elements (SAFE) with the Finite Element Method (FEM). A bent plate sections with various notch types is simulated using FEM, while SAFEs facilitate the definition of wave propagation through healthy regions of the plate. The study analyses the scattering behaviour of Lamb waves for different notch configurations and examines both fundamental modes over a specified frequency range. With a change in the interrogation signal parameters, there is a noticeable difference in the sensitivity of scattered waves with different notch types. Formulating a strategy for identifying and locating a notch inside a bent plate may need careful consideration of the important conclusions drawn. Understanding these interactions, aim of the paper is to enhance the integrity assessment of structural components subject to such defects.

Reciprocal inhibition of NOTCH and SOX2 shapes tumor cell plasticity and therapeutic escape in triple-negative breast cancer.

Cancer cell plasticity contributes significantly to the failure of chemo- and targeted therapies in triple-negative breast cancer (TNBC). Molecular mechanisms of therapy-induced tumor cell plasticity and associated resistance are largely unknown. Using a genome-wide CRISPR-Cas9 screen, we investigated escape mechanisms of NOTCH-driven TNBC treated with a gamma-secretase inhibitor (GSI) and identified SOX2 as a target of resistance to Notch inhibition. We describe a novel reciprocal inhibitory feedback mechanism between Notch signaling and SOX2. Specifically, Notch signaling inhibits SOX2 expression through its target genes of the HEY family, and SOX2 inhibits Notch signaling through direct interaction with RBPJ. This mechanism shapes divergent cell states with NOTCH positive TNBC being more epithelial-like, while SOX2 expression correlates with epithelial-mesenchymal transition, induces cancer stem cell features and GSI resistance. To counteract monotherapy-induced tumor relapse, we assessed GSI-paclitaxel and dasatinib-paclitaxel combination treatments in NOTCH inhibitor-sensitive and -resistant TNBC xenotransplants, respectively. These distinct preventive combinations and second-line treatment option dependent on NOTCH1 and SOX2 expression in TNBC are able to induce tumor growth control and reduce metastatic burden.

The Transverse Sigmoid Notch Morphology Unravelled.

Background: Several studies have described pathology in relation to transverse sigmoid notch morphology, using the Tolat transverse sigmoid notch classification. It is believed that the entire shape of a sigmoid notch can be described using Tolat sigmoid types. We hypothesised that the determination of the sigmoid notch shape (SNS) depends on the level of the transverse CT plane on the axial axis of the distal radius. The aim of this study was to determine and compare the transverse SNS on different axial CT levels in the same wrist. Methods: The transverse SNS of 53 participants were independently qualitatively classified by two researchers in accordance with the four morphologies described by Tolat et al. The SNS was determined at two levels on the axial axis of the distal radius; at the level of the most prominent part of Lister tubercle, determined on the sagittal plane and at the level of the 'smallest distance between the ulnar head and sigmoid notch' (SDUS). Results: Forty-seven percent of the wrists demonstrated different SNS types according to Tolat classification, depending on the axial level of the CT scan. Interobserver agreement on the transverse sigmoid shape was 87% at Lister tubercle and 85% at SDUS, which can both be interpreted as 'excellent'. Conclusions: Despite an excellent interobserver agreement, 47% of the study population had different transverse sigmoid notch types within the same wrist. We, therefore, conclude that Tolat transverse sigmoid classification may not be useful for the description of potential pathology in relation to the sigmoid notch morphology.

Investigating the impact of notch shapes on oxide–oxide ceramic matrix composites strength: A computational approach

AbstractThis study utilizes finite element analysis (FEA) to explore the effect of standardized notch shapes—triangular, circular, and rectangular on the tensile behavior of oxide–oxide (O–O) ceramic matrix composites (CMCs) across various temperature ranges. Findings reveal that unnotched samples exhibited a superior equivalent stress of ∼425 MPa, closely aligning with experimental values. However, under elevated temperatures of 1000°C and 1200°C, degradation occurs, reaching up to 54% decrease at 1200°C. Notched samples demonstrate similar behavior, with all notches acting as stress concentrators. Analysis of single and double notches highlights that circular notches have the most significant stress concentrators due to their smooth surfaces and lack of sharp edges, in contrast to rectangular and triangular notches. Although all notch types influence stress concentration, the absence of non‐sharp corners in circular notches limit stress dissipation, resulting in higher stress concentrations. This trend persists under high temperature as well. The study emphasizes the critical need for a thorough assessment of notch effects, considering their position, orientation, shape, and size, as they significantly affect the mechanical properties of O–O CMCs.

Experimental analysis of the bond-slip characteristics between CFRP and natural stone masonry units

Purpose Although the reinforcement of concrete and brick masonry with fiber-reinforced polymer (FRP) has been extensively researched, its application and impact on natural stone, especially in historic preservation, have received less attention. This study aims to examine the bond-slip characteristics of carbon fiber-reinforced polymer (CFRP) with two types of natural stone masonry, aiming to enhance their effectiveness in reinforcing historic structures. The stones studied include one from the Chouf-Lekdad region (A) and another from a historic structure in Sétif City (B). Both stones were strengthened using CFRP and carbon fiber fabric (CFF) through near-surface mount (NSM) and external bonding (EBR) techniques. Design/methodology/approach The interaction was assessed during the pull-out test by analyzing the stress transfer mechanisms, adhesion and deformation. This study also examines the effects of the following parameters on the bond between CFRP and stone: type of stone (A and B), type of reinforcement (plat CFRP and CFF), various notch shapes and sizes (bp, tp and Lb), and reinforcement techniques (NSM and EBR). Findings This study demonstrated the practicality and effectiveness of enhancing natural stone masonry of old buildings by integrating NSM and EBR techniques with CFRP. With a bond length of 30 mm, the pull-out force correlates with the strength of the stone. This indicates the importance of stone strength in obtaining better adhesion. The CFF–resin interface is more cohesive than the CFRP plate–resin interface because the resin penetrates the flexible CFF strip, ensuring better adhesion. In contrast, the CFRP plate interface is rigid and smooth. The results suggest that natural stone–CFRP adhesion is more effective than CFRP bonded to concrete and brick masonry due to the stone's strong resistance. Originality/value This experimental investigation provides new study into the bond-slip behavior of CFRP-reinforced natural stone masonry, filling the gap in existing research. The findings offer useful direction for creating FRP strengthening solutions that are specifically adapted to the properties of natural stone used in historic constructions. This study helps to improve preservation procedures by guiding the selection of reinforcing techniques, such as NSM versus EBR, and finding ideal bond lengths. This work's novelty stems from its ability to improve the structural integrity of culturally significant buildings while preserving their historical authenticity.

Prevalence of anatomic variations of temporomandibular joint on orthopantomogram and cone-beam computed tomography: A retrospective study

Maxillofacial radiography by means of orthopantamogram is used as a routine screening tool in the diagnosis and treatment planning in various fields of dentistry and is found to be less expensive when compared to other advanced imaging modalities like computed tomography, magnetic resonance imaging and cone-beam computed tomography. Morphological variations in the shape of mandibular condyle, coronoid process and sigmoid notch have been documented in the literature as indispensable aids in anthropological and forensic studies. 100 OPG and CBCT scans of same participants, comprising of 200 temporo-mandibular joints were evaluated for anatomical variations in shapes of mandibular condyle, coronoid process and sigmoid notch. The prevalence of various morphological variations were correlated with age and gender and subjected to statistical analysis. The most common shape of condyle, coronoid process and sigmoid notch on OPG was round, whereas on CBCT the most common shape of condyle, coronoid process and sigmoid notch were flat, triangular and wide respectively. Variations in the morphology of shape of mandibular condyle, coronoid process and sigmoid notch using panoramic radiographs can be tentatively used as a screening tool in human identification, owing to its ready availability and low cost.

High-quality femtosecond laser cutting of battery electrodes with enhanced electrochemical performance by regulating the taper angle: Promoting green manufacturing and chemistry

Laser cutting electrode technology is an environmentally friendly and sustainable manufacturing method that offers many benefits, such as low energy consumption and greenhouse gases, no waste production, no tool wear, flexible manipulation, and multi-scale processing. However, achieving high cutting quality with adjustable notch shape and controllable dimension precision is still a cutting-edge challenge. In addition, the influence of laser cutting on the microscopic structure and electrochemical performance of battery electrodes has not been fully illustrated. Here, the Li4Ti5O12 (LTO) electrode is cut using a femtosecond laser technology. The processing parameters are systematically optimized, and the influence of laser cutting taper structure on the structure and performance of LTO electrodes is comprehensively investigated. It is found that laser photoionization and the generated plasma could create oxygen vacancies and thus more Ti3+/Ti4+ defects in the LTO electrodes, resulting in increased electronic conductivity. Moreover, proper taper structure could help improve electrolyte infiltration as well as Li+ diffusion kinetics. As a result, the laser cutting LTO electrode with the optimized taper angle of T = 0.004 shows excellent electrochemical performance. The capacity retention is more than 99.2 % after 400 cycles at 1C, and the specific capacity reaches ∼60 mAh g−1 at a high rate of 60C, which is about 1.7 times higher than that of mechanically cutting LTO electrodes. The outstanding electrochemical performance is also demonstrated by LiFePO4||Li4Ti5O12 full cells. This work could pave the way for the development and application of laser technology in cutting battery electrodes.

Decompression corrective osteotomy of the distal radius for treatment of the DRUJ-incongruency and impingement syndrome with focus on posttraumatic cases

IntroductionPosttraumatic or congenital ulna-minus variance with altered shape of the sigmoid notch and increased tension of the distal oblique band of the interosseous membrane (DIOM) can lead to painful impingement in the distal radioulnar joint (DRUJ) during rotation and loading of the forearm. As an operative treatment concept, a new method was described in 2016. Its goal is to restore the osseous congruency, which is required for normal painless function. The hypothesis is based on remodelling of the joint surface and the decompression of the DRUJ by releasing the DIOM. The purpose of this study is to analyze the results of performed operations with detailed focus on posttraumatic cases. Materials and Methods: The indication for the operation is the impingement and incongruency in the DRUJ with ulna-minus variance. The surgical procedure is based on shortening and closed-wedge osteotomy of the distal radius with an ulnar translation of the radial shaft. Fifty-nine operations were performed between 2011 – 2022 on 52 patients (13 men, 39 women). Twenty-four patients were operated on the right side, 21 on the left side and 7 bilaterally. In 45 cases the operation was indicated because of congenital, in 12 cases due to posttraumatic incongruency and in 2 cases because of iatrogenic impingement after previously performed excessive ulnar shortening osteotomy. Modified Mayo-Wrist-Score, patient questioning, VAS and ROM were used to evaluate the results. ResultsSignificant reduction of pain on VAS from 7.22 to 1.98 (p < .001) was achieved. The pre- and postoperative range of motion did not show any significant changes (mean total arc of motion 301,94° vs. 295,20°, p = .300). Specific complications we observed included a too distally performed osteotomy, DRUJ instability, de Quervain´s tenosynovitis, persistent pain and conversion into an ulna-plus variance. ConclusionUnder consideration of the indication criteria and correct execution of the osteotomy, in about 90 % of the cases this operation leads to good-to-excellent results with pain reduction and improvement of weight-bearing and power. The preoperative examination, verification of the DRUJ stability and the radiological diagnostics are crucial for a good outcome.

Estimating osteological sex using predictive geometric morphometric analyses of the greater sciatic notch

Accurately estimating the biological sex of human skeletal remains is crucial in both forensic and archaeological contexts for constructing biological profiles. Presently, one of the most commonly used methods involves an ordinal scale describing the shape of the greater sciatic notch (GSN). However, this approach is limited by variations influenced by temporal, geographic, and ancestral factors affecting pelvic morphology. Consequently, its reliable applicability is restricted to populations resembling the original reference group. Recent advancements in quantitative analyses offer a promising alternative by enabling detailed measurement of subtle morphological changes, thus enhancing the accuracy of sex estimation using skeletal pelvic remains. In this study, we employ 2D landmark-based geometric morphometrics (GMM) to develop a protocol for pelvic sex estimation by quantifying the curve and angle of the GSN. These techniques are applied to both a contemporary population of adult European-Americans of known biological sexes (33 females, 38 males) and an archaeological population (n = 73) from south-west England. Our analysis reveals that our GMM approach achieves a 90 % accuracy rate in modern populations. Results indicate that both GSN morphology and angle are highly indicative of biological sex, allowing confidence in sex estimations of archaeological remains using these features.

Testing Protocol Development for the Fracture Toughness of Parts Built with Big Area Additive Manufacturing.

The mechanical testing of additively manufactured parts has largely relied on the existing standards developed for traditional manufacturing. While this approach leverages the investment made in current standards development, it inaccurately assumes that the mechanical response of additive manufacturing (AM) parts is identical to that of parts manufactured through traditional processes. When considering thermoplastic, material extrusion AM, the differences in response can be attributed to an AM part's inherent inhomogeneity caused by porosity, interlayer zones, and surface texture. Additionally, the interlayer bonding of parts printed with large-scale AM is difficult to adequately assess, as much testing is performed such that stress is distributed across many layer interfaces; therefore, the lack of AM-specific standards to assess interlayer bonding is a significant research gap. To quantify interlayer bonding via fracture toughness, double cantilever beam (DCB) testing has been used for some AM materials, and DCB has been generally used for a variety of materials including metal, wood, and laminates. Mode I DCB testing was performed on thermoplastic matrix composites printed with Big Area Additive Manufacturing (BAAM). Of particular interest was the notch shape and deflection speed during testing. The results examine the differences when using two notch types and three deflection speeds. The testing method introduced by the following paper differentiates itself from the ones described in the standards used by modernizing the methodology. This was conducted with the introduction of Digital Image Correlation (DIC) to gather displacement and load data simultaneously without human intervention.

An Improved Ordinary State-Based Peridynamic Model for Granular Fractures in Cubic Crystals and the Effects of Crystal Orientations on Crack Propagation.

Material anisotropy caused by crystal orientation is an essential factor affecting the mechanical and fracture properties of crystal materials. This paper proposes an improved ordinary state-based peridynamic (OSB-PD) model to study the effect of arbitrary crystal orientation on the granular fracture in cubic crystals. Based on the periodicity of the equivalent elastic modulus of a cubic crystal, a periodic function regarding the crystal orientation is introduced into peridynamic material parameters, and a complete derivation process and expressions of correction factors are given. In addition, the derived parameters do not require additional coordinate transformation, simplifying the simulation process. Through convergence analysis, a regulating strategy to obtain the converged and accurate results of crack propagation paths is proposed. The effects of crystal orientations on crack initiation and propagation paths of single-crystal materials with different notch shapes (square, equilateral triangle, semi-circle) and sizes were studied. The results show that variations in crystal orientation can change the bifurcation, the number, and the propagation path direction of cracks. Under biaxial tensile loading, single crystals with semi-circular notches have the slowest crack initiation time and average propagation speed in most cases and are more resistant to fracture. Finally, the effects of grain anisotropy on dynamic fractures in polycrystalline materials under different grain boundary coefficients were studied. The decrease in grain anisotropy degree can reduce the microcracks in intergranular fracture and the crack propagation speed in transgranular fracture, respectively.

Anatomical variability of the intertragal notch shape of the auricle in young men

Objective: to determine the typological features of the intertragal notch (ITN) shape of the auricles (AU) in young men. Material and methods. After somatotyping and cephalotyping of 140 young men both right and left AU were photographed. 25 marks were applied on the images of AU along the margin of the ITN by digitizer tpsDig2 2.31. We performed a procedure for superposition of label configurations using the method of generalized Procrustean analysis using MorphoJ 1.06d soft. Procrustean coordinates were determined, characterizing the variability of the ITN shape of the right and left AU. A one-way AN OVA was carried out on the obtained data with the determination of Goodall's F-criterion, which was used to determine the strength of the influence of the cephalotype and somatotype of the young men on ITN shape both left and right AU. The significance level of the F-criterion is set at 0.05. To visualize the change in the shape of the ITN of AU of the corresponding side, the method of transformation grid was used. Results. As a result of ANOVA, a statistically significant influence of the somatotype of young men on ITN shape only in the left AU was established (F =1.98; p&lt;0.0001). The significance level of the F-criterion in determining the strength of the influence of the cephalotype on ITN shape of both AU exceeded the critical value. As a result of discriminant analysis of ITN shape in groups of young men belonging to different morphotypes, models were obtained that allow for the correct classification of ITN. The classification accuracy of such models in some cases exceeds 90%. Conclusions. Variability in the form of ITN is more associated with the somatotype than with the cephalotype of young men. The shape of ITN differs in young men with different morphotypes.

Analysis of fracture damage mechanical properties of particle reinforced polymer composite film based on micro-macro finite element method

The particle reinforcement and related effect on fracture damage mechanical properties of polymers have been studied in this paper. Based on the uniaxial tensile test result of SiO2 particle reinforced polyvinylidene fluoride (PVDF) composites, the parameters of macro elastic-plastic finite element model and micro particle reinforced model are obtained. The effects of boundary conditions, shape and size of damage notch on fracture damage mechanical properties of PVDF composites are studied from macroscopic view. The uniaxial tensile mechanical properties and elastic modulus are increased with notch angle (0°, 30°, 60°, 120°). The damage analysis of the micro model shows that the mechanical properties of SiO2/PVDF composites are best when the content of SiO2 is 6%. Debonding between particles and matrix indicates have great effect on crack propagation. The micro-macro finite element model is effective tool to study the damage mechanical properties of particle reinforced polymers.

Sensitivity of Stainless Steel Fracture to Triaxiality Factor and Lode Parameter Using Dislocation Density Approach

This work is devoted to the analysis of the influence of the triaxiality factor and the Lode parameter on the ductile fracture of a stainless steel tube. A micromechanical-based model incorporating several deformation mechanisms and formulated in the framework of the dislocation density theory is chosen to model the viscoplastic behavior of the 316L stainless steel. After adaptation of the implementation of the model into the finite element code Abaqus 2020 and the calibration of the model parameters with experimental available results, simulations of healthy and notched tubular specimens were carried out. In order to vary the triaxiality and Lode angle, we used specimens of different sizes and notch shapes. The results showed the capacity of the model to reproduce the experimental results of tubular structures. It was found that the strength and ductility of the specimens depend on the Triaxiality Factor and Lode Parameter.

Radiographic analysis in Thoroughbreds reveals morphological changes in healthy maturing stifle joints and possible association between subchondral lesions and femoral condyle width.

Assess femorotibial features in foals with and without medial femoral condyle (MFC) subchondral radiolucencies (SR+ and SR-). 3 independent, sequential radiographic studies were performed. Study 1 retrospectively measured femorotibial morphological parameters in repository radiographs (SR- and SR+). Study 2 qualitatively compared drawings of intercondylar notch shape in postmortem radiographs (SR-). Study 3 prospectively measured femorotibial parameters in 1-month-old foals (SR-). In studies 1 and 3, 13 morphologic parameters were measured. Limb directional asymmetry was assessed in 2 age groups (< 7 or ≥ 7 months). Study 1 (SR- group; n = 183 radiographs) showed increased femoral measurements with maturation, except the distal femoral intercondylar notch width (FINwal), which decreased. In contrast, in SR+ stifles (53 radiographs), 3 femoral parameters (MFC width [MFCwpf], MFC height, or FINwal) showed no changes. Tibial plateau width alone increased with maturation in both groups. Interobserver reliability was good to excellent. Study 2 (n = 53 radiographs) confirmed a distal FINw decrease in SR- foals. In study 1, left SR- stifles in greater than or equal to 7-month-old fillies had significantly larger femoral bicondylar width and FINw, while right SR+ stifles in fillies greater than or equal to 7 months had a significantly larger MFCw. In study 3 of 1-month-old foals (n = 94 SR- radiographs), the MFCw, femoral condyle bicondylar width, and lateral femoral condyle height were all greater on the left, whereas the intercondylar intereminence space width was larger on the right. In SR+ stifles, the distal femur exhibited divergent maturation, indicating a wider MFC in the right stifle in older foals. As SR lesions are more common on the right, this suggests a potential association with MFC morphology.

New approach to low-cycle fatigue lifetime prediction for deep-rectangular notched components with finite residual thickness: Experiment and simulation

The introduction of notches in engineering components often has detrimental effects on fatigue behavior. Current research on finite residual thickness is extremely limited, especially when dealing with more complex geometric shapes of notches. In this study, the low-cycle fatigue (LCF) life of cylindrical components with deep-rectangular notches were predicted based on the theory of critical distance (TCD) and the total stress field (TSF) method. The results indicated that the presence of stress concentration near the notch accelerated the initiation and propagation of cracks. Furthermore, finite element method (FEM) was conducted, revealing the need to comprehensively consider the stress distribution across the residual thickness zone (RTZ) for notched specimens. Through numerical method improvement and geometric modeling optimizations, the accuracy of fatigue lifetime prediction has been refined to within a margin of ± 1.5. Comparative simulations on notched specimens with various ratio of notch depth to residual thickness were conducted, characterizing the fatigue process zone (FPZ) near the notch root under LCF loading for Q345R steel, indicating that characteristic material parameter d* exhibits minimal fluctuations with changes in the notch size, while the corresponding local stress levels display a logarithmic upward trend, substantiating that fatigue lifetime decreases with larger notch sizes.

Prediction of allowable compression load for notched composite laminates combining FEA simulation and machine learning

Determining the allowable compression load (ACL) of notched composite laminates (NCL) requires consideration of buckling, intra- and inter-laminar damage, which is a costly and repetitive task due to the high dimensional and nonlinear relation of ACL to the numerous design variables. In this work, a high-throughput finite element analysis (FEA) and machine learning (ML) combined approach is proposed to predict ACL of laminates. First, the high-throughput FEA model of NCL covering all of the design variables is generated, and the corresponding critical compression loads in terms of buckling, intra- and inter-laminar damage are obtained. Then, ML models are trained, with inputs being the design variables of NCL and outputs being the critical compression loads. ACL and initial failure mode are determined by the minimum compression load of the three failure modes. Moreover, transfer learning is introduced to laminates with new design variables of new ply number, notch shape and laminate type. By fine-tuning the pre-trained ML model using scarce new data, the fine-tuned models are suitable for new laminates. Consequently, ACL and initial failure mode of notched laminates with various design variables are predicted.

Enhancement of Convection and Molecular Transport into Film Stacked Structures by Introduction of Notch Shape for Micro-Immunoassay.

A 3D-stack microfluidic device that can be used in combination with 96-well plates for micro-immunoassay was developed by the authors. ELISA for detecting IgA by the 3D-stack can be performed in one-ninth of the time of the conventional method by using only 96-well plates. In this study, a notched-shape film was designed and utilized for the 3D-stack to promote circulation by enhancing and utilizing the axial flow and circumferential flow in order to further reduce the reaction time. A finite element analysis was performed to evaluate the axial flow and circumferential flow while using the 3D-stack in a well and design the optimal shape. The 3D-stack with the notched-shape film was fabricated and utilized for the binding rate test of the antibody and antigen and ELISA. As a result, by promoting circulation using 3D-stack with notched-shape film, the reaction time for each process of ELISA was reduced to 1 min, which is 1/60 for 96 wells at low concentrations.

Magnetic Resonance Imaging-Based Morphometric Analyses of the Bicruciate Injury of the Knee: Is There a Clue in the Distal Femur?

The morphology of the distal femur's intercondylar notch has been implicated in the susceptibility to and severity of cruciate ligament injuries. While previous research has primarily focused on isolated anteriorcruciate ligament (ACL) or posterior cruciate ligament (PCL) injuries, the relationship between notch morphology and combined cruciate injuries remains less understood. This study aimed to explore the association between femoral notch morphology and the severity of combined cruciate ligament injuries in adult males. In this retrospective cohort study, MRI scans from 118 adult male participants with and without knee dislocations (60 cases with Schenk classification Type II or higher knee dislocations and 58 controls) were analyzed. The study period ranged from 2015 to 2023. Femoral notch width, notch width index (NWI), and notch shape (U shape, A shape) were assessed using a Philips Multiva 1.5 Tesla system (Philips, Amsterdam, Netherlands). The statistical significance of differences in measurements between cases and controls was evaluated using independent sample t-tests performed with IBM SPSS Statistics, version 26 (IBM Corp., Armonk, NY). The case group exhibited a significantly smaller mean femoral notch width (15.88 mm ± 2.7 mm) and NWI (0.238 ± 0.58) compared to the control group (notch width 18.29 mm ± 3.4 mm, NWI 0.25 ± 0.31), with p-values of 0.004 for both measurements. The notch shape was predominantly A-shaped in the case group (n = 49) as opposed to U-shaped in the control group (n = 41). The study identifies a significant association between reduced femoral notch dimensions and the severity of complex cruciate ligament injuries. These findings support the notion that specific femoral notch morphologies may predispose individuals to more severe ligamentous injuries.

Modification of nominal strength scaling laws to pseudo-ductility

We investigate the influence pseudo-ductility has on the notched strength and size-effect behaviour of typical notched specimens of quasi-isotropic pseudo-ductile composite materials. Our previous findings reveal that pseudo-ductility enhances translaminar toughness and nominal strength recovery but can negatively affect specimens below a critical notch size. The traditional Bažant Size Effect Law (SEL) does not adequately capture these observations, necessitating modifications to account for the non-recoverable pseudo-ductile damage past the pseudo-yield strength. We propose modifications to the nominal strength scaling laws, aiming to characterise both the notched strengths for a given notch radius and the size effect due to pseudo-ductility. Modifications are applied to centre-cracked (CC), elliptical hole (EH), and open-hole (OH) specimens for a wide range of pseudo-ductile materials. The proposed modifications for nominal strength predictions agree with FE estimates across all three notch shapes (CC, EH, and OH). The findings suggest that the presented SEL serves as a valuable tool for understanding and assessing the size-effect behaviour of pseudo-ductile composites.