{"title":"The effect of transverse isotropy on the creep behavior of bedded salt under confining pressures","authors":"Kanya Kraipru, Kittitep Fuenkajorn, Thanittha Thongprapha","doi":"10.1007/s11043-024-09695-3","DOIUrl":"10.1007/s11043-024-09695-3","url":null,"abstract":"<div><p>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 (<span>(sigma _{3})</span>) of up to 24 MPa and a constant octahedral shear stress (<span>(tau _{mathrm{o}})</span>) of 9 MPa. The specimens were oriented with their bedding planes at various angles (<span>(beta )</span>) to the major principal axis to simulate transverse isotropic conditions. Our findings reveal that both instantaneous and creep deformations are most significant when <span>(beta = 0^{circ })</span>, decreasing progressively to a minimum at <span>(beta = 90^{circ })</span> across all confining pressures. The discrepancy in deformations between these intrinsic angles narrows with increasing <span>(sigma _{3})</span>. Creep deformations for intermediate angles (<span>(0^{circ} < beta < 90^{circ })</span>) follow the elliptical equations. Utilizing the Burgers creep model, we observed that the instantaneous, viscoelastic moduli, and viscoplastic coefficients escalate with <span>(beta )</span>. The degree of anisotropy declines sharply as confining pressures increase, reaching an isotropic state under <span>(tau _{mathrm{o}} = 9text{ MPa})</span> and <span>(sigma _{3})</span> 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.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"28 4","pages":"2879 - 2897"},"PeriodicalIF":2.1,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140610939","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Assessment of the strength deterioration of a coal pillar using a strain-softening time-dependent constitutive model","authors":"Prudhvi Raju Gadepaka, Sonu, Ashok Jaiswal","doi":"10.1007/s11043-024-09692-6","DOIUrl":"10.1007/s11043-024-09692-6","url":null,"abstract":"<div><p>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: <span>(m_{i} = 1.47)</span> and <span>(s_{i} = 0.01)</span>; residual parameters: <span>(m_{r} = 0.125)</span> and <span>(s_{r} = 0.00001)</span>; strength-reduction parameters: <span>(alpha = 0.04)</span>, <span>(beta = 200)</span> 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.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"28 4","pages":"2841 - 2858"},"PeriodicalIF":2.1,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140563836","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Higher-order heat conduction model in a rotating micropolar thermoelastic medium with moving heat source and electromagnetic field","authors":"Sourov Roy, Abhijit Lahiri","doi":"10.1007/s11043-024-09694-4","DOIUrl":"10.1007/s11043-024-09694-4","url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"28 4","pages":"2859 - 2877"},"PeriodicalIF":2.1,"publicationDate":"2024-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140563626","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Photothermoelastic response due to Hall current and gravity effects in a hyperbolic two-temperature semiconducting medium with voids under a moving thermal load","authors":"Mohit Kumar, Shilpa Chaudhary, Sandeep Singh Sheoran","doi":"10.1007/s11043-024-09689-1","DOIUrl":"https://doi.org/10.1007/s11043-024-09689-1","url":null,"abstract":"<p>Photothermal transport process and voids in solids are important phenomena in a variety of engineering approaches and scientific disciplines. For this purpose, the photothermal theory is being utilized to study the coupling between elastic waves and plasma waves in a semiconducting medium with voids. The basic governing equations for photothermal waves are derived in the framework of hyperbolic two-temperature theory and Green–Lindsay model. Normal mode analysis method is used to obtain the physical field distributions under investigation. A moving thermal load is applied at the outer free surface of the medium to obtain the complete solution. Expressions are calculated numerically for silicon (Si) material and presented to observe the variations of the field quantities. The effects of various key parameters on the physical fields are also shown graphically. Special cases that are consistent with the earlier findings have been obtained. Although, numerous studies do exist on the deformation analysis in a photothermoelastic medium under different thermoelasticity theories. However, no research emphasizing thermodynamical analysis of the photothermal transport process in a hyperbolic two-temperature semiconducting medium with voids under the influence of gravity and Hall current has been carried out. This provides us a motivation to study the current research. Chemical engineering, geophysics, earthquake engineering, soil dynamics, high-energy particle physics, nuclear fusion, aeronautic biomechanics, bone mechanics, and petroleum industry are the major application areas of the photothermolelasticity theory.</p>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"189 1","pages":""},"PeriodicalIF":2.5,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140563605","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Effects of dynamic loading and temperature on NEPE propellant: damage and ignition analysis","authors":"Zongtao Guo, Jinsheng Xu, Xiong Chen, Tingyu Wang, Jiaming Liu, Hao Zhang, Yulin Chen, Qixuan Song","doi":"10.1007/s11043-024-09684-6","DOIUrl":"https://doi.org/10.1007/s11043-024-09684-6","url":null,"abstract":"<p>We investigate herein the thermo-mechanical behavior of nitrate ester plasticized polyether (NEPE) propellants under dynamic, nonshock loading scenarios, such as impacts and drops, which are vital for assessing the safety of solid rocket motors. Using a split Hopkinson pressure bar (SHPB) apparatus, we performed dynamic loading tests on NEPE propellant samples at high strain rates (4000, 5100, and 6000 s<sup>−1</sup>) and various temperatures (228, 298, and 318 K). High-speed cameras captured the deformation, fracture, ignition, and combustion stages under these conditions. Results indicate that both the mechanical properties and ignition behavior of the propellant are significantly affected by strain rate and temperature. The propellant demonstrated nonlinear elastic deformation, with both ultimate stress and strain increasing with strain rate and decreasing with temperature. During dynamic loading, samples underwent stages of uniform and nonuniform deformation, fragmentation, and for some, ignition, which was more prompt and intense at higher strain rates and temperatures. High-speed footage, along with optical and scanning electron microscopy, revealed friction among ammonium perchlorate particles as the primary ignition catalyst, presenting as shear flow on a macroscopic level. This investigation underscores the complex interplay between strain rate, temperature, and mechanical integrity in the safety and performance of high-energy propellants.</p>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"9 1","pages":""},"PeriodicalIF":2.5,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140563597","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ahmed E. Abouelregal, Marin Marin, Hind A. Alharbi, Khaled J. A. Alrouili
{"title":"Modeling the thermal behavior of functionally graded media with a spherical gap: rectified sine wave heating via fourth-order Moore–Gibson–Thompson model","authors":"Ahmed E. Abouelregal, Marin Marin, Hind A. Alharbi, Khaled J. A. Alrouili","doi":"10.1007/s11043-024-09688-2","DOIUrl":"10.1007/s11043-024-09688-2","url":null,"abstract":"<div><p>The main objective of this work is to introduce a new thermal conductivity model that can be utilized to solve the infinite thermal diffusion problem in the Green and Naghdi type III model. This proposed model incorporates two key concepts: the fourth-order Moore–Gibson–Thompson (MGT) concept and thermal relaxation. By incorporating higher-order terms, the fourth-order MGT model provides a more accurate representation of the thermal behavior of the material. The thermal behavior of a functionally graded (FG) infinite medium containing a spherical gap is then studied using this model. A rectified sine wave heating system is applied to the traction-free gap surface. Power functions are utilized to model the uniform radial variation of the physical properties of the FG medium. The physical variables under investigation were meticulously examined, considering the impacts of heterogeneity, relaxation duration, and thermal frequency. These variables were estimated numerically using a suitable technique for Laplace transformations. Through this work, the expected outcomes may be able to make a significant contribution to the field of thermoelastic analysis in advanced and FG materials, as well as to engineering applications.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"28 3","pages":"681 - 707"},"PeriodicalIF":2.1,"publicationDate":"2024-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140324531","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Significance of trihybrid nanoparticles in non-Newtonian fluids: a finite-element simulation of magnetohydrodynamic effects under microgravity conditions","authors":"Bagh Ali, Imran Siddique, Sonia Majeed, Windarto, Tarik Lamoudan, Shahid Ali Khan","doi":"10.1007/s11043-024-09686-4","DOIUrl":"10.1007/s11043-024-09686-4","url":null,"abstract":"<div><p>This study examines the dynamics of the three different fluid types, mono-, di-, and trihybrid nanofluids, emphasizing the distinction between the three types of fluids. Also, the report highlights the significance of the microgravity environment: <span>(g*(tau ) = g_{0}(1+acos (pi omega {t})))</span>, and a gravitational field plus a temperature gradient typically produce buoyant convective flows in a variety of different situations, most likely in environments of low gravity or microgravity. One of the reasons for the growing interest in trihybrid nanofluids is their unique ability to improve thermal performance, which is really useful in various heat exchangers. The leading governing equations of linear momentum and energy of the developed problem are transmuted into nondimensional nonlinear coupled PDEs by using appropriate similarity modifications. The obtained systems of partial differential equations are solved via the finite-element method (FEM) in a MATLAB environment. The FEM is the most reliable, powerful, efficient, and fast convergence rate technique. The fluid velocity decreases as a function of the increasing strength of the magnetic (<span>(M)</span>) and Casson <span>(beta )</span> parameters. However, the temperature distribution increases as a function of these parameters. It is observed that both temperature and velocity functions for trihybrid nanofluid flow obtain peak values as compared to mono- and bihybrid cases. The Nusselt number exhibits an increasing behavior by <span>(15%)</span> as compared to mono- and trihybrid nanofluids and <span>(5%)</span> when comparing bihybrid cases with trihybrid cases. Furthermore, the shear stress and Nusselt number are enhanced against increasing amplitude modulation.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"28 3","pages":"1331 - 1348"},"PeriodicalIF":2.1,"publicationDate":"2024-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140324451","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Nonlocal and micropolar effects in a transversely isotropic functionally graded thermoelastic solid under an inclined load","authors":"Priti Dhankhar, M. S. Barak, Ravinder Poonia","doi":"10.1007/s11043-024-09687-3","DOIUrl":"10.1007/s11043-024-09687-3","url":null,"abstract":"<div><p>The objective of this study is to analyze the thermo-mechanical interactions occurring in a nonlocal transversely isotropic functionally graded (nonhomogeneous) micropolar thermoelastic half-space when subjected to an inclined load, based on the Lord and Shulman (LS) theory. The material properties are assumed to be graded exponentially along the <span>(z)</span>-direction. Utilizing the normal mode technique, the exact expressions for physical fields such as normal displacement, normal stress, shear stress, temperature field, and couple stress are derived. Numerical computation of the derived results is performed for a material resembling a magnesium crystal, and graphical representations are presented to illustrate the impacts of nonhomogeneity parameter, material’s anisotropy, time, nonlocal parameter, microinertia, and the inclination angle of the applied load on the variations of different physical fields. Some specific cases of interest have been deduced from the present investigation.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"28 3","pages":"1349 - 1373"},"PeriodicalIF":2.1,"publicationDate":"2024-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140324476","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Thermo-mechanical waves in a biological tissue under ramp and oscillatory heat in Atangana–Baleanu fractional theory","authors":"Rakhi Tiwari","doi":"10.1007/s11043-024-09685-5","DOIUrl":"10.1007/s11043-024-09685-5","url":null,"abstract":"<div><p>Accurate outcome prediction in a thermal treatment of a biological tissue is challenging for the medical practitioners. This paper makes an attempt to predict the outcomes using fractional modelling of the heat transfer. The model has the capability to describe the characteristics in the transient heat transport in a biological tissue. A novel heat transfer model is established with two relaxation times in the Atangana and Baleanu fractional derivatives. A comparison of the thermo-mechanical waves originated inside the skin tissue was made for the ramp and harmonic heat. Laplace transform is performed to obtain the analytical solution of dimensionless temperature, dilation, displacement, and thermal stress. Effects of the fractional parameters and the time are evaluated through the graphical results for both types of heat input. Auspicious outcomes are noticed for the different thermal loadings. Results under sinusoidal heat are observed to be stable compared to the results under ramp heat. Moreover, graphical results of the physical quantities under Atangana–Baleanu fractional model are compared with the results for the conventional dual phase lag model having integer-order derivatives. Results under fractional theory provide compressed values of the physical fields and prevent the damage formation inside the tissue. The paper provides a technique suitable for outcome prediction by medical practitioners in thermal therapy for diseases such as cancer and hyperthermia.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"28 3","pages":"1719 - 1741"},"PeriodicalIF":2.1,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140298146","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Guotao Chen, Yansong Lv, Zhiyuan Mei, Huadong Li, Xuefei Bai
{"title":"Characterization and modeling of the uniaxial thermo-mechanical compressive behavior of polymethacrylimide (PMI) foam at different temperatures","authors":"Guotao Chen, Yansong Lv, Zhiyuan Mei, Huadong Li, Xuefei Bai","doi":"10.1007/s11043-024-09671-x","DOIUrl":"10.1007/s11043-024-09671-x","url":null,"abstract":"<div><p>This paper investigates the uniaxial compressive failure behavior of polymethacrylimide (PMI) foam across a range of temperatures (20 °C–200 °C), at both macro- and microscales. The investigation includes dynamic mechanical analysis and dimensional stability tests to evaluate the material’s heat resistance. The stress–strain curve of PMI foam under varying compressive failure mechanisms was analyzed, utilizing the Liu–Subhash model for accurate prediction of the material’s stress–strain constitutive relationship at different temperatures. The results indicate that between 20 °C and 180 °C, PMI foam behaves as an elastoplastic material, displaying a “three-stage” pattern in its stress–strain curve. At 200 °C, the material transitions to a hyperelastic incompressible state, evidenced by a “two-stage” stress–strain pattern. The paper also determines how temperature affects yield strength and elastic modulus, as well as the influence of strain rate at different temperatures. A quasi-static compression constitutive model for PMI foam, considering temperature effects, was modified from the Liu–Subhash model. These findings offer crucial theoretical support and data for understanding the thermo-mechanical bearing mechanism in composite sandwich structures.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"28 4","pages":"2729 - 2749"},"PeriodicalIF":2.1,"publicationDate":"2024-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140173122","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}