Axial Stress Research Articles

Study on stress concentration and fatigue life of tubing with slip indentation

The indentation caused by slip on the outer wall of tubing is a significant contributor to stress concentration and, consequently, fatigue failure in the tubing string. Through an analysis of the interaction between slips and tubing, a mathematical model to predict slip-tubing interaction and slip crushing load is formulated, accounting for external pressure, internal pressure, and axial forces. On this basis, the influence factors and influence rules of slip crushing load are studied, and three-dimensional yield surface and tri-axial stress ellipse of tubing are investigated, considering different transverse load factors and design factors. To accurately forecast the fatigue life of tubing subjected to slip indentation, two models are established: one for fatigue life prediction and the other for tubing string vibration. In order to quantitatively assess the stress concentration arising from slip indentation, a finite element model of tubing featuring slip indentation is established. Finite element analysis reveals that stress concentration and non-uniformity are evident in the vicinity of slip indentation, with their severity intensifying as the indentation depth grows. The initial step in assessing fatigue life involves fatigue life tests on tubing material subjected to varying stress levels. Subsequently, a case study is conducted and the variations of wellhead pressure and axial stress are evaluated. Fatigue life analysis reveals that the fatigue life is notably sensitive to variations in stress amplitude and slip indentation depth. An increase in the magnitude of alternating stress and the depth of slip indentation will result in a significant reduction in the fatigue lifespan. The methodologies employed in this research, along with the resulting findings, offer a robust theoretical framework and a solid practical basis for forecasting and managing stress concentration and fatigue durability in tubing affected by slip indentation.

Effect of repeated temperature cycles on thermal expansion coefficient and elastic moduli of high porosity chalks

This paper describes the impact of repeated temperature cycles on elastic mechanical parameters of chalk. The experiments were performed at both hydrostatic and deviatoric stress geometries at an axial stress 70% of stress at failure. Thus, shear failure tests are reported. Geomechanical stability during cooling was evaluated at constant axial stress, while the side stress was reduced to counteract thermal contraction at uniaxial strain conditions. The study was motivated by the fact that chalk reservoirs are exposed to cooling due to intermittent water injection during hydrocarbon extraction and are future prospects for CO2 storage. Detrimental effects on rock-mechanical stiffness and strengths were anticipated because temperature cycles are known to degrade calcite cemented sedimentary rocks and marble. This study documents how temperature cycles influence elasticity and thermal expansion coefficient of two chalks with different degree of calcite cementation. The more indurated and less porous Kansas chalk, and the less indurated and more porous Belgian Mons chalk.Following temperature cycling, elastic bulk modulus measured under hydrostatic conditions decreased for the softer Mons chalk, while no significant effect was found for the stiffer Kansas chalk. For both chalks, Young´s modulus measured under deviatoric stress, showed no effect of temperature cycling. At hydrostatic stresses, the thermal expansion coefficient of the Kansas chalk was found to decrease with increasing number of temperature cycles, while a less clear, but similar trend was seen for the Mons chalk samples. The thermal-elastic coupling coefficient, needed to evaluate effective stresses during cooling, was measured before and after the repeated temperature changes.

Effect of internal pressure on the flexural fatigue behaviour of trenchless internal replacement pipe systems

Internal replacement pipe (IRP) systems are a novel trenchless technique that is gaining interest in the rehabilitation of damaged legacy pipelines distributing natural gas. Performance evaluation of IRP systems under repetitive loads transmitted from vehicular traffic is essential to ensure their optimal and safe design. This study conducted numerical simulations to examine the impact of internal pressure on the bending fatigue behaviour of IRP systems that are fully bonded to legacy gas pipes with circumferential discontinuities. Other design parameters include the thickness and modulus of elasticity of IRP and the level of transmitted traffic load. The findings indicate that the operating internal pressure has a greater impact on the longitudinal stresses than the circumferential stresses of IRP when subjected to cyclic bending. The level of internal pressure changes the failure behaviour of IRP under fatigue. Based on the results obtained from extensive parametric simulations, mathematical expressions were formulated to predict the fatigue life of the IRP systems. Contour plots were generated to represent fatigue life response for different combinations of internal pressure levels and transmitted traffic loads.

Component‐section transverse‐pressure effect on internal damage and failure mode of post‐installed rebar

AbstractA post‐installed rebar (PIR) is commonly used to establish structural connections between new components and existing structures, such as structural member extensions or concrete layer overlays in the construction/strengthening/retrofitting of buildings or bridges. In joint connections, the anchored PIR system always bears a non‐negligible compression in the component section, which is derived from the loads and self‐weight and has a confinement effect on the anchorage zone. However, excessive pressure can result in the fracture of the adhesive component, thereby leading to brittle failure in the PIR system. Owing to the important role of the adhesive component in the PIR system, this study is focused on the internal damage to the PIR system, and the effect of transverse pressure on the failure modes is investigated. This study comprises an experimental investigation of the failures of a PIR system under transverse pressure and a description of the internal damages based on the test results. Finally, an elastic analysis was established to explain the internal cracking and investigate the stress distribution in the PIR system. The tests on 34 pull‐out specimens showed two typical failures for the PIR system under transverse pressure (adhesive–rebar [A–R] interface failure and adhesive fracture failure). The A–R interface failure resulted from the shearing failure in the adhesive component, while the adhesive fracture failure resulted from the propagation of longitudinal and transverse cracks. The elastic analysis indicated that cracking in the concrete and adhesive component was dominated by circumferential stress, and the rebar rib direction and adhesive component thickness had a significant influence on the stress distribution. Based on this, some suggestions for anchorage design were made.

Yielding onset in FGM thick-walled spherical shells under thermo-mechanical loading

Based on von Mises yield criterion, a thermoelasto-plastic analysis of a thick-walled spherical shell composed of functionally graded material (FGM) subjected to internal pressure and thermal gradient is conducted in order to accurately predict the onset radius of yielding within the vessel wall. The modulus of elasticity, thermal conductivity and thermal expansion coefficients, and yield stress of FGM are assumed to follow power-law functions in radius according to Erdogan’s model. The equilibrium differential equation of the shell under thermo-mechanical loading in steady-state conduction heat transfer are derived analytically and then solved to determine through-thickness variations of the radial and circumferential stresses and radial displacement in elastic and perfectly plastic zones in the vessel wall. The presented approach leads to the definition of new formulation to predict the onset radius of yielding. Moreover, a neural network (NN) solution to reliable quantify the influence of all uncertain input parameters with respect to uncertain output parameter is utilized. The numerical results showed that for various FGM parameters and specific thermal gradient, the plastic zone can commence from inside radius, outside radius, simultaneously in both radii, or may be launched in the intermediate radius of the spherical shell wall.

Critical length parameter of HDPE and its use in fatigue lifetime predictions

The contribution describes the fatigue lifetime predictions of polyethylene notched specimens based on the theory of critical distance. The approach uses the line method, which averages the axial stress over the critical distance. The critical distance is determined from experimental data of Cracked Round Bar (CRB) specimens and specimens with a model notch. From these two sets of experimental fatigue data and corresponding axial stress distributions, the critical distance is determined. The critical distance depends on the number of cycles to failure and notch radius. For this reason, the critical distance is modified by the ratio of stress concentration factors and the modified distance is used for fatigue lifetime predictions of notched specimens with various notch radii. Using this approach significant savings in testing time can be achieved. CRB fatigue tests are commonly used tests for ranking PE pipe grades and are easily available. Adding the fatigue tests of notched specimens with a model notch, the critical parameter can be found, and fatigue lifetime predictions of various notches can be calculated.

Mechanical Properties of Inflamed Appendix Tissues

Background/Objectives: Histopathological examination enables visualization of morphological changes in cells and tissues. In recent years, there has been increasing interest in assessing the mechanical properties of tissues that cannot be determined by standard histopathological examinations. Mechanobiology is crucial in human physiology and holds promise for uncovering new diagnostic markers for disease processes such as carcinogenesis and inflammation. In this study, we concentrated on measuring the mechanical properties of appendix biopsy specimens to identify potential mechanomarkers of inflammation. Appendix tissues provided the opportunity to measure mechanical properties both with an atomic force microscope and a shear rheometer. Methods: The atomic force microscope AFM—NanoWizard 4 BioScience JPK/Bruker was used for the evaluation of the elastic modulus (i.e., Young’s modulus) of appendix tissues. Young’s modulus was derived from the Hertz-Sneddon model applied to force-indentation curves. The rheological properties of macroscopic samples were measured on a parallel-plate, strain-controlled shear rheometer Anton Paar MCR302. Results: The data collected suggest that elasticity, expressed as Young’s modulus and the storage modulus, could be considered a marker indicating appendix tissue inflammation. Young’s modulus of inflamed appendix tissues was found to be significantly lower than that of healthy ones, with an average reduction of 67%. Furthermore, it was observed that inflamed appendix tissues, in comparison to healthy ones, respond differently under varying axial and shear stresses, enabling their identification. Conclusions: Our findings suggest that the specific mechanical properties of inflamed vermiform appendices could serve as novel mechanomarkers for the early detection and monitoring of appendicitis.

Effect of moisture on mechanical and physical properties of coals: a uniaxial compression study

The estimation of mechanical and physical properties of coal reservoirs is important for the successful exploration and development of coalbed methane (CBM). Unlike conventional sandstone reservoirs, coal reservoirs exhibit greater sensitivity to stress, resulting in distinct mechanical and physical behaviors. In this study, uniaxial compression tests were performed on both low-rank and high-rank coal samples under different moisture conditions to reveal the mechanical and physical property changes with stress. The results indicate that during axial stress loading (up to 2.8 MPa), axial strain initially increases rapidly and subsequently at a slower rate, with an axial strain of 0.13–0.25% observed at the maximum axial stress. The instantaneous Young’s modulus increases linearly before stabilizing, ranging from 618.01 to 4861.10 MPa, while the Poisson’s ratio remains relatively constant or increases linearly, ranging from 0.002 to 0.165. This results in a negative exponential decrease in both porosity and permeability, with maximum reductions of 1.77–4.21% and 5.38–12.25%, respectively. The mechanical properties of coal are influenced by both the cementation effect of water at low water saturation and the softening effect at high water saturation, which results in axial strain decreases and then increases as the water saturation increases. Concurrently, the elastic modulus initially increases and then decreases, while the Poisson’s ratio exhibits a less pronounced change or tends to increase. Consequently, there is a trend in which porosity and permeability first increase and then decrease. In addition, during stress unloading, the influence of water in coal induces a notable strain hysteresis phenomenon in water-containing coal samples, and this phenomenon is more obvious in the low-rank coals.

STRESS ANALYSIS OF THE MAIN COMPONENTS OF IMPROVED GATE VALVE CONSTRUCTION

This study explores the stress resistance of an improved valve design under high-pressure conditions, focusing on stress distribution across both the sealing element and the valve body. A 2D model of the valve was created in AutoCAD and analyzed using Python’s Matplotlib, simulating performance under pressures up to 75 MPa, 5 MPa above the operational limit. Results reveal critical stress patterns, with stress concentrations reaching up to 325 MPa along the inner radius of the sealing element and valve body. Radial, longitudinal, and circumferential stresses were evaluated, showing a gradual decrease in compressive forces from the inner to outer surfaces. The contact areas between the sealing element and valve body emerged as critical zones, with high-pressure exposure raising the risk of early material fatigue and functional degradation. Overall, the improved valve design exhibits significant resilience under high-pressure conditions. However, sustaining this performance over time will require proactive inspection and maintenance to prevent premature wear and material fatigue. This research provides valuable insights for enhancing valve designs and improving durability in high-pressure applications within the oil and gas industry. The analysis demonstrates that the improved valve design can withstand high pressures effectively, but highlights the importance of routine inspection and maintenance to prevent premature failure due to material fatigue. Continuous monitoring, particularly around the inner radius and critical contact areas, is recommended to ensure operational longevity and reliability under fluctuating pressure conditions. Keywords: Linear motion valve, body, finite element analysis, wear, seal.

Crescendo beyond the horizon: more gravitational waves from domain walls bounded by inflated cosmic strings

Abstract Gravitational-wave (GW) signals offer a unique window into the dynamics of the early universe. GWs may be generated by the topological defects produced in the early universe, which contain information on the symmetry of UV physics. We consider the case in which a two-step phase transition produces a network of domain walls bounded by cosmic strings. Specifically, we focus on the case in which there is a hierarchy in the symmetry-breaking scales, and a period of inflation pushes the cosmic string generated in the first phase transition outside the horizon before the second phase transition. We show that the GW signal from the evolution and collapse of this string-wall network has a unique spectrum, and the resulting signal strength can be sizeable. In particular, depending on the model parameters, the resulting signal can show up in a broad range of frequencies and can be discovered by a multitude of future probes, including the pulsar timing arrays and space- and ground-based GW observatories. As an example that naturally gives rise to this scenario, we present a model with the first phase transition followed by a brief period of thermal inflation driven by the field responsible for the second stage of symmetry breaking. The model can be embedded into a supersymmetric setup, which provides a natural realization of this scenario. In this case, the successful detection of the peak of the GW spectrum probes the soft supersymmetry breaking scale and the wall tension.

Research on the Theoretical Models of FRP-Confined Gangue Aggregate Concrete Partially Filled Steel Tube Columns

FRP-confined gangue aggregate concrete partially filled steel tubes (CGCPFTs) can not only effectively enhance the performance of coal gangue concrete, but also fully exploit the elastic-plastic mechanical behavior of the steel tubes. However, research on theoretical models that can describe their mechanical properties is yet to be conducted. To fill this gap, theoretical models for structural design and analysis were proposed for CGCPFTs. For the analytical model, based on the available experimental data, a prediction method for the stress–strain behavior of the gangue aggregate concrete in CGCPFTs, which is confined only by FRP and partly confined by both FRP and the steel tubes, was first proposed. Additionally, the condition for the synergetic deformation of the two confined states of gangue aggregate concrete within the CGCPFT was proposed. Based on the condition, an iterative incremental process was developed which subsequently allows for the theoretical calculation of the load–displacement curve for the CGCPFT under monotonic axial compression. For the design model, by introducing the constraint contribution coefficient of the steel tube, the existing closed-loop calculation formula for the stress–strain relationship of FRP-confined concrete was revised. Furthermore, by expressing the axial and lateral stresses of the steel tube as a unified circumferential effect on the concrete, the calculation methods for the ultimate strength and strain in the closed-loop formula were redefined, thus achieving the prediction of the stress–strain behavior of CGCPFTs. The comparison with the test data obtained by the author and their team revealed that both the analysis and design models could provide accurate predictions.

Phosphorylation of MWCNTs/PPy/PDA-nZVI Catalyst for Boosted Catalytic Performance

Nano zero valent iron (nZVI) is widely studied for its efficient removal of recalcitrant organic contaminants. However, it is prone to oxidation and aggregation, and its structurally dense oxide shell seriously prevents mass and electron transport. Herein, a novel phosphorylated multi-wall carbonnanotubes/polypyrrole/polydopamine supported nZVI (P-MWCNTs/PPy/PDA-nZVI) was successfully fabricated. Induced by the circumferential stress from phosphate ions, a unique 2D agaric-like nanoflake morphology with ultrathin thickness (ca. 20nm) and inhibited dense oxide shell was formed. Impressively, the unprecedented modified kinetic rate constants (K-value) of 116.35 and 154.15 μmol·g-1·s-1 towards para-nitrophenol degradation were obtained in batch and continuous-flow reactors, far outperforming other reported catalysts (1-3 orders of magnitude) and non-P-doped MWCNTs/PPy/PDA-nZVI (1.53 and 10.5 folds). Phosphorylation-dependent enhancement in dispersity, conductivity and hydrophilicity rendered the catalyst with abundant active sites, accelerated electron transfer and boosted catalytic efficiency. The present encouraging findings might shed light on new ways to design high-performance nZVI in water decontamination.

Analysis of microcracking processes in microconcrete under confined compression utilising synchrotron-based ultra-high speed X-ray phase contrast imaging

In the present study, microconcrete (MC) samples were exposed to dynamic quasi-oedometric compression (QOC) tests and visualised in-situ by the means of MHz synchrotron X-ray phase-contrast imaging in the ESRF synchrotron in order to analyse the damage mechanisms governing the mechanical behaviour of concrete under high-strain-rate confined compression. To do so, small cylindrical samples were placed in polymeric confinement cell and dynamically compressed along their axial direction using SHPB (Split-Hopkinson Pressure Bar) set-up available in ID19 beamline in the European Synchrotron Radiation Facility (ESRF). The damage process was visualized with MHz X-ray phase-contrast imaging along with an ultra-high-speed camera operating at a recording frequency approximately 1 Mfps (million frames per second i.e., 880 ns interframe time). The axial stress and strain temporal profiles were obtained from standard Kolsky's (SHPB) data processing. In addition, data of radial stress and strain within the sample were deduced from non-linear analysis of the mechanical behaviour of the polycarbonate confining cell instrumented with a strain gauge. Finally, the onset and growth of microcracking observed from the equatorial zone of large spherical pores is correlated with deviatoric and pressure measurements showing how the pore collapse process develops during the applied mechanical loading.

Phosphate overload via the type III Na-dependent Pi transporter represses aortic wall elastic fiber formation.

Phosphate (Pi) induces differentiation of arterial smooth muscle cells to the osteoblastic phenotype by inducing the type III Na-dependent Pi transporter Pit-1/solute carrier family member 1. This induction can contribute to arterial calcification, but precisely how Pi stress acts on the vascular wall remains unclear. We investigated the role of extracellular Pi in inducing microstructural changes in the arterial wall. Aortae of Pit-1-overexpressing transgenic (TG) rats and their wild-type (WT) littermates were obtained at 8 weeks after birth. The thoracic descending aorta from WT and TG rats was used for the measurement of wall thickness and uniaxial tensile testing. Structural and ultrastructural analyses were performed using light microscopy and transmission electron microscopy. Gene expression of connective tissue components in the aorta was quantified by quantitative real-time polymerase chain reaction. Aortic wall thickness in TG rats was the same as that in WT rats. Uniaxial tensile testing showed that the circumferential breaking stress in TG rats was significantly lower than that in WT rats (p<0.05), although the longitudinal breaking stress, breaking strain, and elastic moduli in both directions in TG rats were unchanged. Transmission electron microscopy analysis of the aorta from TG rats showed damaged formation of elastic fibers in the aortic wall. Fibrillin-1 gene expression levels in the aorta were significantly lower in TG rats than in WT rats (p<0.05). Pi overload acting via the arterial wall Pit-1 transporter weakens circumferential strength by causing elastic fiber malformation, probably via decreased fibrillin-1 expression.

Study on the compressive performance of hyperelastic seismic isolation materials under passive confinement of surrounding rock simulated by CFRP tubes

Tunnel engineering has played a significant role in the development of human society. However, due to geological constraints, tunnels are prone to losing stability and safety under strong seismic forces. High-elasticity, super-tough polymer-inorganic composite tunnel isolation materials (PTIM), based on polyurethane elastomers, can meet the requirements for tunnel isolation, but research on their passive confinement mechanical properties remains insufficient. This study designed an experimental method to simulate the passive confinement state of tunnel isolation materials. The method uses CFRP tube confinement and core loading to replicate the actual stress conditions within a confined tunnel space. Based on the experimental data, a constitutive model for PTIM under passive confinement was established. The results show that the initial elastic modulus (Ec0) of PTIM and the CFRP confinement stiffness (K) are significantly correlated with the material's stress-strain curve, axial peak stress and strain, circumferential strain, compressive performance, and elastic modulus. Based on these mechanical properties as characteristic values, a tri-linear constitutive model for PTIM with different mix ratios under various confinement stress conditions was established. The high degree of agreement between the predicted data and the experimental data validates the effectiveness of the model.

Multiaxial low cycle fatigue behavior and constitutive model of 316L under various loading paths at high-temperature

The work is devoted into investigating the multiaxial low cycle fatigue behavior and constitutive model of 316L under various strain amplitudes, strain ratios, and phase angles at 550 °C. Experimental results show that both axial and shear stress amplitudes present three stages of cyclic hardening, softening and fracture. Internal stress analysis reveals that initial cyclic hardening is influenced by both friction and back stresses, while cyclic softening is primarily controlled by friction stress. Moreover, the Mises equivalent stress–strain relationship effectively accommodates different strain amplitudes and strain ratios, but cannot account for the non-proportional hardening arising from back stress. Pearson correlation analysis highlights a correlation between fatigue life and the equivalent stress amplitude and plastic strain energy density, and that elastic modulus is influenced by strain ratio and phase angle, not the strain amplitude. Based on the Chaboche unified viscoplastic constitutive theory, an improved constitutive model incorporating new hardening rules and Hooke’s law is proposed. In the proposed model, three classical loading path-dependent coefficients’ ability for description of non-proportional hardening and stiffness weakening behaviors are evaluated. Simulation results reveal that the proposed model can effectively capture the non-proportional hardening of back stress, stiffness weakening, non-masing effect, and varied softening rate.

Finite Tube Method for buckling analysis of tubular members using Fourier-approximation for the displacements

In this paper an efficient numerical method for the static analysis of cylindrical tubes is introduced. The method is designed for the linear buckling analysis of wind turbine support towers which are, most typically, built up from conical and/or cylindrical cans. Accordingly, the developed method uses cylindrical tube segments as elementary building blocks, along with specialized shape functions, and is named the Finite Tube Method. Within a tube segment the displacements are approximated by two-dimensional Fourier series. The curved nature of the surface is directly considered in the kinematic equations. The segments are joined and/or supported to the ground by constraint equations or by elastic links. In the current implementation internal stresses are determined in a simplified way: the circumferential stress distributions are calculated from the internal forces/moment by classic strength of material formulae, while the longitudinal distribution within each segment is quadratic. The considered internal forces/moments are: normal force, shear force, bending moment, and torsional moment. The internal forces can be arbitrarily combined. In the paper the underlying derivations are briefly summarized, then the method is demonstrated and validated by numerical examples, comparing the results to analytical and alternative numerical solutions. The authors are actively developing the method and will provide future work on utilization of the method for buckling mode identification and decomposition, as well as practical advancements to make the method a useful tool in the engineering design and analysis of wind turbine support towers.

Thermal and mechanical impact of artificial ground-freezing on deep excavation stability in Nakdong River Deltaic deposits

This paper presents a case study of deep excavation using the artificial ground freezing (AGF) method for tunnel restoration work in the Nakdong River deltaic deposits. The study involved detailed construction monitoring and data analysis to assess the thermal and mechanical impacts on surrounding ground and underground structures. Factors influencing heat transfer were identified and evaluated for their effect on ground temperature distribution. The excavation and frost expansion of the ground led to unique lateral deformation of the diaphragm wall. However, the frozen soil effectively resisted earth pressure and suppressed deformation of the wall. The axial stress applied to the braced strut was closely related to the deformation of the diaphragm wall and was influenced by both excavation-induced and frost-expansion pressures. Boreholes near the frozen soil functioned as stress-relief holes, enhancing excavation stability. These comprehensive findings enhance the understanding of AGF techniques and their impact on complex deltaic geological conditions and adjacent structures.

Supplemental oxygen for pulmonary embolism (SO-PE): study protocol for a mechanistic, randomised, blinded, cross-over study

BackgroundAcute pulmonary embolism (PE) mortality is linked to abrupt rises in pulmonary artery (PA) pressure due to mechanical obstruction and pulmonary vasoconstriction, leading to right ventricular (RV) dilation, increased RV...

Finite element analysis and computational fluid dynamics to elucidate the mechanism of distal stent graft-induced new entry after frozen elephant trunk technique.

Distal stent graft-induced new entry (dSINE), a new intimal tear at the distal edge of the frozen elephant trunk (FET), is a complication of FET. Preventive measures for dSINE have not yet been established. This study aimed to clarify the mechanisms underlying the development of dSINE by simulating the mechanical environment at the distal edge of the FET. The stress field in the aortic wall after FET deployment was calculated using finite element analysis. Blood flow in the intraluminal space of the aorta and FET models was simulated using computational fluid dynamics. The simulations were conducted with various oversizing rates of FET ranging from 0 to 30% under the condition of FET with elastic recoil. The elastic recoil of the FET, which caused its distal edge to push against the greater curvature of the aorta, induced a concentration of circumferential stress and increased wall shear stress (WSS) at the aorta. Elastic recoil also created a discontinuous notch on the lesser curvature of the aorta, causing flow stagnation. An increase in the oversizing rate of the FET widened the large circumferential stress area on the greater curvature and increases the maximum stress. Conversely, a decrease in the oversizing rate of the FET increased the WSS and widened the area with high WSS. Circumferential stress concentration due to an oversized FET and high WSS due to an undersized FET can cause a dSINE. The selection of smaller-sized FET alone might not prevent dSINE.