Mechanics of Time-Dependent Materials最新文献

This research investigates the impact of thermoelastic coupling on thermally conducting, homogeneous, and isotropic Kelvin–Voigt-type circular microplate resonators. The study utilizes the Moore–Gibson–Thompson technique, which incorporates viscous effects. We examine the use of clamped boundary conditions and obtain analytical solutions in the Laplace-transform domain. In order to clarify the thermomechanical effects on the vibrations of a ceramic Si₃N₄ plate resonator, we calculate numerical outcomes in the time domain by employing the inverse Laplace transform. We examine the impact of viscosity on many physical phenomena, including deflection, temperature, displacement, thermal moment in the radial direction, and radial stress. We give graphical findings that compare the results with and without the presence of viscosity. The study evaluates the precision and feasibility of the MGTE thermal-conductivity theory by comparing its numerical outcomes with well-established thermoelastic models, such as the classical theory, Lord–Shulman theory, and Green–Naghdi II and III theories. The MGTE theory showcases improved accuracy, facilitating the production of circular micro/nanoplate resonators with exceptional quality and decreased energy dissipation.

We investigate the aging behavior of High-Density Polyethylene (HDPE) pipelines, specifically comparing the Pipe Body (PB) and Butt-Fusion Welded Joint (BFWJ) under thermal oxidative and hydrothermal accelerated aging conditions. Our results indicate that the performance disparity between PB and BFWJ diminishes as aging time increases. We also find that the specimen type affects the quantity of polyethylene fibers, with hydrothermal aging significantly affecting the cohesive force among these fibers in both PB and BFWJ. These findings on differential aging processes of PB and BFWJ contribute to a deeper understanding of HDPE pipeline durability and offer practical recommendations for mitigating degradation risks associated with these disparities. This research underscores the importance of considering specific aging behaviors in the maintenance and reliability assessment of HDPE pipeline systems used in energy transport, industrial, and agricultural applications.

This paper investigates the thermoelastic behavior of porous materials under magnetic fields using a dual-phase lag (DPL) model, with a specific focus on an unbounded porous body containing a cylindrical cavity. By applying the Laplace transform to address the time-dependent aspects of the governing equations, we investigate the effects of harmonically varying heat loads on the material’s porous–thermoelastic response. Numerical simulations provide insights into the distribution of excess pore water pressure, temperature, displacement, thermal stresses, and the magnetic field within the material. Results are presented through graphical analyses, facilitating a detailed comparison of porous–thermoelastic behaviors under different conditions. This approach not only validates the model’s accuracy but also enhances our understanding of porous materials’ responses to thermal and magnetic stimuli, offering valuable implications for their design and safety in engineering applications.

Lung tissue plays a crucial role in biological functions and exhibits significant sensitivity to mechanical loading. Its mechanical properties have garnered increased attention for their potential to guide human protection strategies against collisions and explosions. However, the behavior and underlying mechanisms remain largely undefined, particularly under dynamic loading conditions. In the present study, rabbit lung tissues were subjected to directional compression loadings, both parallel and perpendicular to the trachea. For accurate dynamic measurements, a modified Hopkinson pressure bar was employed. To minimize spike-like stress characteristics, annular specimens were utilized, and a polymethyl methacrylate bar served as the transmission tube, in conjunction with semiconductor strain gauges, to enhance the amplification of transmission signals. Experiments were meticulously conducted using the modified split Hopkinson pressure bar and an Instron machine, covering a strain rate range of 0.0005–3000 s⁻¹. The results revealed a pronounced rate-dependence in the stress–strain curves of lung tissue, characterized by an initial linear elastic regime, a deformation plateau, and ultimate densification. A significant dependency on strain rate was observed, with the strength of tissue increasing a thousandfold from quasi-static to dynamic loading. Anisotropic behavior was evident under both loading directions. Furthermore, both strain rate dependency and anisotropic behavior became more pronounced beyond 0.3 strain under dynamic loading and 0.45 under quasi-static loading. Finally, potential mechanisms involving tissue fluid discharge and the mechanical characteristics of orientated collagen were proposed. These mechanisms were corroborated by staining techniques that demonstrated the predominant orientation of collagen in a specific direction within rabbit lung tissue.

We investigate herein the role of acidic dry-wet cycles and dynamic loading on the mechanical stability of sandstone, which is crucial for managing closed and abandoned mines’ safety. Using a split Hopkinson pressure bar, we conducted dynamic compression tests on sandstone samples exposed to four acidic conditions (pH = 3, 5, 6.5, 7) and five dry-wet cycle frequencies (1, 5, 10, 20, 30) at an impact pressure of 0.70 MPa. Our findings reveal that the dynamic stress-strain response of sandstone entails compacting, elastic, plastic, and failure phases, with peak stress and elasticity decreasing as the acidity and cycle frequency increase. Analytical techniques, including EDS, XRD, and NMR, showed changes in composition and porosity, indicating reduced deterioration compared to untreated stone. Based on Weibull distribution and damage mechanics, a dynamic damage constitutive model was developed to accurately predict the sandstone’s behavior under these conditions. This model, validated by experimental data, effectively captures the dynamic stress-strain characteristics of sandstone, indicating the importance of understanding environmental degradation effects on rock stability in mining contexts.

In this paper, we investigate the role of transverse isotropy on the creep behavior of bedded salt. We conducted a series of triaxial creep tests on prismatic specimens subjected to confining pressures ((sigma _{3})) of up to 24 MPa and a constant octahedral shear stress ((tau _{mathrm{o}})) of 9 MPa. The specimens were oriented with their bedding planes at various angles ((beta )) to the major principal axis to simulate transverse isotropic conditions. Our findings reveal that both instantaneous and creep deformations are most significant when (beta = 0^{circ }), decreasing progressively to a minimum at (beta = 90^{circ }) across all confining pressures. The discrepancy in deformations between these intrinsic angles narrows with increasing (sigma _{3}). Creep deformations for intermediate angles ((0^{circ} < beta < 90^{circ })) follow the elliptical equations. Utilizing the Burgers creep model, we observed that the instantaneous, viscoelastic moduli, and viscoplastic coefficients escalate with (beta ). The degree of anisotropy declines sharply as confining pressures increase, reaching an isotropic state under (tau _{mathrm{o}} = 9text{ MPa}) and (sigma _{3}) around 40 MPa, beyond which transient creep ceases, indicating a transition to Maxwell-material behavior. Employing linear viscoelastic theory, we derived an equation for time-dependent deformation under varying octahedral shear stresses. This enables the formulation of governing equations for Burgers-model parameters, considering bedding plane orientations, loading durations, and the interactions between shear and confining stresses.

In this study, a time-dependent constitutive model of a coal pillar was developed using the Hoek–Brown strain-softening model, which is useful for studying the strength deterioration of a coal pillar over time. A database of 32 failed cases of coal pillars of different ages from the Witbank Coalfield has been utilized to deduce the strength parameters of the coal seam through back analysis. A three-dimensional finite-difference method (FDM) has been chosen to simulate the failed cases. The simulation results have been obtained in terms of pillar strength and FOS of the pillar concerning time. Based on the simulation results the life of the pillar is considered when FOS is nearly equal to 1. The appropriate strength parameters have been derived as peak strength parameters: (m_{i} = 1.47) and (s_{i} = 0.01); residual parameters: (m_{r} = 0.125) and (s_{r} = 0.00001); strength-reduction parameters: (alpha = 0.04), (beta = 200) for a coal mass. 39 stable cases from the same coalfields (Witbank) have been considered to validate the strength parameters. The simulation results of all the stable cases were showing FOS > 1. The proposed constitutive model is suitable for assessing a pillar’s time-dependent strength deterioration and creep behavior. The deterioration/yielding of the pillar is observed to be initiated from the skin/side, extending deeper into the pillar’s core with time and ultimately forming an hourglass shape. It is also observed that the FOS of the pillar decreases with time.

This article investigates the influence of an electromagnetic field, angular velocity, and internal heat sources on two-dimensional thermoelasticity in a micropolar thermoelastic medium using a generalized model of higher-order (multi-phase-lag) heat conduction. The governing coupled partial differential equations are transformed through the normal mode analysis method. The eigenvalue approach is then applied to determine analytically the displacement components, stress components, couple stresses, and temperature distributions from the vector-matrix differential equation. The study’s findings are validated through boundary conditions, and graphical representations highlight the influence of angular velocity, magnetic field, and heat sources in this multi-phase-lag model. The graphical comparison of different thermoelastic models is presented, and the inclusion of tabular data enhances clarity, facilitating a comparative analysis of field variables.