Pub Date : 2023-07-10DOI: 10.1080/01495739.2023.2219284
Shijun Li, Liheng Chen, Shuai Liu
Abstract To predict on-orbit temperatures of the spacecraft accurately, a correction method for the thermal analysis model is proposed that combines Latin hypercube sampling and the coordinate rotation method. First, the thermal design parameters to be corrected are determined. Second, the thermal design parameters are sampled by the Latin hypercube sampling, and the sampling results inputted to the I-deas/TMG software for the thermal simulation calculation. Then according to the results of thermal simulation, the thermal design parameters are classified using the Spearman rank correlation coefficient formula, as either global sensitive parameters, local sensitive parameters, or insensitive parameters. Finally, according to the layered correction idea, the above parameters are corrected by the coordinate rotation method to find the optimal solution that satisfies the objective function. After the correction, the maximum temperature difference between the thermal simulation and the thermal balance test for each temperature measurement point is less than 1 °C for high-temperature conditions, and a maximum temperature difference of less than 2 °C for low-temperature condition.
{"title":"Thermal analysis model correction method based on Latin hypercube sampling and coordinate rotation method","authors":"Shijun Li, Liheng Chen, Shuai Liu","doi":"10.1080/01495739.2023.2219284","DOIUrl":"https://doi.org/10.1080/01495739.2023.2219284","url":null,"abstract":"Abstract To predict on-orbit temperatures of the spacecraft accurately, a correction method for the thermal analysis model is proposed that combines Latin hypercube sampling and the coordinate rotation method. First, the thermal design parameters to be corrected are determined. Second, the thermal design parameters are sampled by the Latin hypercube sampling, and the sampling results inputted to the I-deas/TMG software for the thermal simulation calculation. Then according to the results of thermal simulation, the thermal design parameters are classified using the Spearman rank correlation coefficient formula, as either global sensitive parameters, local sensitive parameters, or insensitive parameters. Finally, according to the layered correction idea, the above parameters are corrected by the coordinate rotation method to find the optimal solution that satisfies the objective function. After the correction, the maximum temperature difference between the thermal simulation and the thermal balance test for each temperature measurement point is less than 1 °C for high-temperature conditions, and a maximum temperature difference of less than 2 °C for low-temperature condition.","PeriodicalId":54759,"journal":{"name":"Journal of Thermal Stresses","volume":"46 1","pages":"857 - 870"},"PeriodicalIF":2.8,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46016199","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-10DOI: 10.1080/01495739.2023.2224413
Ayush Awasthi, M. Pant
Abstract In the present work a novel framework of algorithm has been proposed for enhancing the versatility of the element-free Galerkin method for modeling of fracture in graded media subjected to thermoelastic loadings. The proposed work restructures the conventional element free Galerkin method (EFGM) at multiple level through generic MATLAB algorithms thereby developing an efficient and robust method for simulating crack tip stress fields in graded material subjected to thermoelastic loads. The proposed algorithm utilizes varying nodal density criterion in conjunction with optimum Gaussian quadrature around these nodes for numerical integration of the governing equations. The proposed algorithm also incorporates blended approximation which is effective for simulating crack tip stress fields in both convex and non-convex problem domains. Nonequilibrium formulation has been selected for evaluating stress intensity factors (SIFs) for the fracture problems in graded media. A few problems of cracked domain subjected to thermoelastic loads have been modeled and simulated to illustrate the effectiveness of proposed framework of algorithms. Further, three component level problems having non-convex domains have also been discussed to establish the robustness and modeling capabilities of the proposed work. A good agreement between the simulated results and reference data demonstrates the algorithm’s competence and robustness for modeling thermoelastic fracture in graded materials. The proposed methodology improves the computational efficiency and flexibility of the element-free Galerkin method for modeling thermoelastic fracture in graded media. Moreover, enhancement of computing speed with the proposed methodology adds to its modeling potential.
{"title":"An efficient meshfree framework for simulation of crack tip stress fields in two-dimensional graded media subjected to thermoelastic loads","authors":"Ayush Awasthi, M. Pant","doi":"10.1080/01495739.2023.2224413","DOIUrl":"https://doi.org/10.1080/01495739.2023.2224413","url":null,"abstract":"Abstract In the present work a novel framework of algorithm has been proposed for enhancing the versatility of the element-free Galerkin method for modeling of fracture in graded media subjected to thermoelastic loadings. The proposed work restructures the conventional element free Galerkin method (EFGM) at multiple level through generic MATLAB algorithms thereby developing an efficient and robust method for simulating crack tip stress fields in graded material subjected to thermoelastic loads. The proposed algorithm utilizes varying nodal density criterion in conjunction with optimum Gaussian quadrature around these nodes for numerical integration of the governing equations. The proposed algorithm also incorporates blended approximation which is effective for simulating crack tip stress fields in both convex and non-convex problem domains. Nonequilibrium formulation has been selected for evaluating stress intensity factors (SIFs) for the fracture problems in graded media. A few problems of cracked domain subjected to thermoelastic loads have been modeled and simulated to illustrate the effectiveness of proposed framework of algorithms. Further, three component level problems having non-convex domains have also been discussed to establish the robustness and modeling capabilities of the proposed work. A good agreement between the simulated results and reference data demonstrates the algorithm’s competence and robustness for modeling thermoelastic fracture in graded materials. The proposed methodology improves the computational efficiency and flexibility of the element-free Galerkin method for modeling thermoelastic fracture in graded media. Moreover, enhancement of computing speed with the proposed methodology adds to its modeling potential.","PeriodicalId":54759,"journal":{"name":"Journal of Thermal Stresses","volume":"46 1","pages":"949 - 984"},"PeriodicalIF":2.8,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47880292","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-23DOI: 10.1080/01495739.2023.2221315
J. Baroi, S. A. Sahu
Abstract The study presents a theoretical modeling and analysis for the purpose of designing of acoustic devices and sensors with high performance. The propagation of Rayleigh-type waves in a piezoelectric substrate guided with fiber-reinforced layer is studied. Lord-Shulman (L-S) theory is used for thermoelasticity for both layer and substrate. Direct Sturm-Liouville method is employed to obtain the dispersion relation using traction free, thermally insulated, electrically open and short boundary conditions. The effect of different material parameters (e.g., reinforce, thickness ratio, and amplitude of thermal displacement) on the velocity (phase and group) of the considered wave are shown graphically by taking suitable numerical examples. The effect of specific loss factor is presented through graph. The present study may be utilized for better optimization of surface acoustic wave devices and sensors.
{"title":"Analysis of higher modes of Rayleigh-type waves in fiber-piezo thermoelastic composite structure","authors":"J. Baroi, S. A. Sahu","doi":"10.1080/01495739.2023.2221315","DOIUrl":"https://doi.org/10.1080/01495739.2023.2221315","url":null,"abstract":"Abstract The study presents a theoretical modeling and analysis for the purpose of designing of acoustic devices and sensors with high performance. The propagation of Rayleigh-type waves in a piezoelectric substrate guided with fiber-reinforced layer is studied. Lord-Shulman (L-S) theory is used for thermoelasticity for both layer and substrate. Direct Sturm-Liouville method is employed to obtain the dispersion relation using traction free, thermally insulated, electrically open and short boundary conditions. The effect of different material parameters (e.g., reinforce, thickness ratio, and amplitude of thermal displacement) on the velocity (phase and group) of the considered wave are shown graphically by taking suitable numerical examples. The effect of specific loss factor is presented through graph. The present study may be utilized for better optimization of surface acoustic wave devices and sensors.","PeriodicalId":54759,"journal":{"name":"Journal of Thermal Stresses","volume":"46 1","pages":"839 - 856"},"PeriodicalIF":2.8,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48133634","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Oncogenes are thought to play an important role in aberrant regulation of growth factors, which is believed to be an initiation event of carcinogenesis. However, recent genetic and pharmacological studies have shown that the Warburg effect (WE) is needed for tumour growth. It refers to extensively studied aerobic glycolysis over the past decade, although its impact on cancer remains unclear. Meanwhile, a large body of evidence has indicated that oxidative stress (OS) is connected with the occurrence and progression of various forms of cancer. Psychosocial factors (PSF), such as chronic depression, sadness, stressful life experiences, stress-prone personality, and emotional distress or poor quality of life affect the immune system and contribute to cancer outcomes. Here, we examine the relationship between WE, OS, PSF, metal ions, other carcinogens, and the development of different cancers from the viewpoint of physiological and biochemical mechanisms.
{"title":"Multifactorial Distress, the Warburg Effect, and Respiratory and pH Imbalance in Cancer Development","authors":"G. Drochioiu","doi":"10.3390/stresses3020036","DOIUrl":"https://doi.org/10.3390/stresses3020036","url":null,"abstract":"Oncogenes are thought to play an important role in aberrant regulation of growth factors, which is believed to be an initiation event of carcinogenesis. However, recent genetic and pharmacological studies have shown that the Warburg effect (WE) is needed for tumour growth. It refers to extensively studied aerobic glycolysis over the past decade, although its impact on cancer remains unclear. Meanwhile, a large body of evidence has indicated that oxidative stress (OS) is connected with the occurrence and progression of various forms of cancer. Psychosocial factors (PSF), such as chronic depression, sadness, stressful life experiences, stress-prone personality, and emotional distress or poor quality of life affect the immune system and contribute to cancer outcomes. Here, we examine the relationship between WE, OS, PSF, metal ions, other carcinogens, and the development of different cancers from the viewpoint of physiological and biochemical mechanisms.","PeriodicalId":54759,"journal":{"name":"Journal of Thermal Stresses","volume":"38 1","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75978248","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-14DOI: 10.1080/01495739.2023.2217243
Van-Thien Tran, T. Nguyen, P. Nguyen, T. Vo
Abstract Thermal buckling and vibration behaviors of functionally graded (FG) sandwich microplates are investigated by using a unified higher-order shear deformation theory and stochastic collocation (SC) method. Uniform and linear distributions are considered for thermal effect and lognormal distributions are used to characterize the variability of the materials properties. The governing equations are derived by using Hamilton’s principle and solved by Ritz’s approach. To demonstrate the effectiveness and accuracy of the current model, the results from SC are compared with those from Monte Carlo Simulation. The effects of boundary conditions, temperature distribution, thickness-to-length ratio, material scale characteristics and power-law index on the fundamental frequencies and critical buckling temperature of the FG sandwich microplates are investigated. The FG sandwich microplates’ stochastic analysis provides some new findings that may be utilized as references in the future.
{"title":"Stochastic collocation method for thermal buckling and vibration analysis of functionally graded sandwich microplates","authors":"Van-Thien Tran, T. Nguyen, P. Nguyen, T. Vo","doi":"10.1080/01495739.2023.2217243","DOIUrl":"https://doi.org/10.1080/01495739.2023.2217243","url":null,"abstract":"Abstract Thermal buckling and vibration behaviors of functionally graded (FG) sandwich microplates are investigated by using a unified higher-order shear deformation theory and stochastic collocation (SC) method. Uniform and linear distributions are considered for thermal effect and lognormal distributions are used to characterize the variability of the materials properties. The governing equations are derived by using Hamilton’s principle and solved by Ritz’s approach. To demonstrate the effectiveness and accuracy of the current model, the results from SC are compared with those from Monte Carlo Simulation. The effects of boundary conditions, temperature distribution, thickness-to-length ratio, material scale characteristics and power-law index on the fundamental frequencies and critical buckling temperature of the FG sandwich microplates are investigated. The FG sandwich microplates’ stochastic analysis provides some new findings that may be utilized as references in the future.","PeriodicalId":54759,"journal":{"name":"Journal of Thermal Stresses","volume":"46 1","pages":"909 - 934"},"PeriodicalIF":2.8,"publicationDate":"2023-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46119415","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-14DOI: 10.1080/01495739.2023.2217233
Hamza Zougheib, T. El Arwadi, Rodrigo L. R. Madureira, M. Rincon
Abstract Over the years, the stabilization Timoshenko systems with dissipative features have piqued the interest of researchers. The study of Timoshenko systems under various damping effects has resulted in a significant number of studies. When nonphysical assumptions of equal wave velocities are used in stabilization, the expected exponential decay of the energy solution is attained in all recent research. In this study, we analyze a one-dimensional thermooelastic Timoshenko type system in the setting of the second frequency spectrum, where the assumption of equal wave speed is not required for exponential decay to occur. In fact, According to Elishakoff’s studies [Elishakoff, Advances in Mathematical Modeling and Experimental Methods for Materials and Structures: The Jacob Aboudi Volume, Dordrecht, The Netherlands: Springer, pp. 249–254, 2009.], we consider the so-called truncated version of the Timoshenko system, and we added a thermoelastic damping according to Green Naghdi law of heat conduction. We first use Faedo–Galerkin approximation to verify the system’s global well-posedness. Using a Lyapunov functional we establish an exponential stability without assuming the condition of equal wave speed. A numerical scheme is introduced and analyzed. Finally, assuming extra regularity on the solution, we get some a priori error estimates and we present some numerical results which demonstrate the exponential behavior of the solution. This result significantly improves the previous results in the literature in which equal wave velocities are used to obtain exponential stability.
{"title":"Do equal speed condition and exponential stability relate for the truncated thermoelastic Timoshenko system under Green Naghdi law?","authors":"Hamza Zougheib, T. El Arwadi, Rodrigo L. R. Madureira, M. Rincon","doi":"10.1080/01495739.2023.2217233","DOIUrl":"https://doi.org/10.1080/01495739.2023.2217233","url":null,"abstract":"Abstract Over the years, the stabilization Timoshenko systems with dissipative features have piqued the interest of researchers. The study of Timoshenko systems under various damping effects has resulted in a significant number of studies. When nonphysical assumptions of equal wave velocities are used in stabilization, the expected exponential decay of the energy solution is attained in all recent research. In this study, we analyze a one-dimensional thermooelastic Timoshenko type system in the setting of the second frequency spectrum, where the assumption of equal wave speed is not required for exponential decay to occur. In fact, According to Elishakoff’s studies [Elishakoff, Advances in Mathematical Modeling and Experimental Methods for Materials and Structures: The Jacob Aboudi Volume, Dordrecht, The Netherlands: Springer, pp. 249–254, 2009.], we consider the so-called truncated version of the Timoshenko system, and we added a thermoelastic damping according to Green Naghdi law of heat conduction. We first use Faedo–Galerkin approximation to verify the system’s global well-posedness. Using a Lyapunov functional we establish an exponential stability without assuming the condition of equal wave speed. A numerical scheme is introduced and analyzed. Finally, assuming extra regularity on the solution, we get some a priori error estimates and we present some numerical results which demonstrate the exponential behavior of the solution. This result significantly improves the previous results in the literature in which equal wave velocities are used to obtain exponential stability.","PeriodicalId":54759,"journal":{"name":"Journal of Thermal Stresses","volume":"46 1","pages":"673 - 705"},"PeriodicalIF":2.8,"publicationDate":"2023-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41762813","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-12DOI: 10.1080/01495739.2023.2221313
Xiang Mu, Xiaoyu Fu, Z. Zhu, Liangliang Zhang, Yang Gao
Abstract In the framework of thermo-electro-elasticity, the present paper investigates the singular behaviors of interface corners, interface cracks, composite wedges and spaces for one-dimensional hexagonal quasicrystal. The stress function and temperature variation can be described as the exponential form with a view to stress and heat flux singularities. Based on the Stroh formalism, the analytical expressions of singular orders of stress and heat flux are easily established by simple multiplication of the crucial matrix. Numerical examples of the singular orders are given for some general cases including single, bi-material, and tri-material wedges and spaces under different boundary conditions. Numerical results show that the geometry structures, material properties, boundary conditions, and heat conduction coefficients have great influences on singularities, but thermal moduli have no effect on singularities.
{"title":"Stress singularity of one-dimensional hexagonal piezoelectric quasicrystal composites due to thermal effect","authors":"Xiang Mu, Xiaoyu Fu, Z. Zhu, Liangliang Zhang, Yang Gao","doi":"10.1080/01495739.2023.2221313","DOIUrl":"https://doi.org/10.1080/01495739.2023.2221313","url":null,"abstract":"Abstract In the framework of thermo-electro-elasticity, the present paper investigates the singular behaviors of interface corners, interface cracks, composite wedges and spaces for one-dimensional hexagonal quasicrystal. The stress function and temperature variation can be described as the exponential form with a view to stress and heat flux singularities. Based on the Stroh formalism, the analytical expressions of singular orders of stress and heat flux are easily established by simple multiplication of the crucial matrix. Numerical examples of the singular orders are given for some general cases including single, bi-material, and tri-material wedges and spaces under different boundary conditions. Numerical results show that the geometry structures, material properties, boundary conditions, and heat conduction coefficients have great influences on singularities, but thermal moduli have no effect on singularities.","PeriodicalId":54759,"journal":{"name":"Journal of Thermal Stresses","volume":"46 1","pages":"1066 - 1083"},"PeriodicalIF":2.8,"publicationDate":"2023-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41782921","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Dimitrios Kakavas, K. Panagiotidis, K. Rochfort, K. Grintzalis
The Organization for Economic Co-operation and Development (OECD) has set widely used guidelines that are used as a standardized approach for assessing toxicity in a number of species. Given that various studies use different experimental setups, it is difficult to compare findings across them as a result of the lack of a universally used setup in nano-ecotoxicology. For freshwater species, Daphnia magna, a commonly used filter feeding crustacean, can generate significant molecular information in response to pollutant exposure. One factor that has an effect in toxicity induced from nanomaterials in daphnids is the surface-to-volume ratio of the exposure vessels; however, there is limited information available about its impact on the observed effect of exposure. In this study, daphnids were exposed to silver nanoparticle ink in falcon tubes and Petri dishes for 24 h. Toxicity curves revealed differences in the observed mortality of daphnids, with animals exposed in Petri dishes displaying significantly higher mortality. Differences in the activities of a number of key enzymes involved in the catabolism of macromolecules and phosphate were also observed across the exposure setups, indicating possible differences in the toxicity mechanism of silver nano-ink. Understanding the impact of factors relevant to experimental setups in ecotoxicology can increase the reproducibility of testing, and also reduce experimental costs, time, generated waste, and daphnids used in research.
{"title":"Surface-to-Volume Ratio Affects the Toxicity of Nanoinks in Daphnids","authors":"Dimitrios Kakavas, K. Panagiotidis, K. Rochfort, K. Grintzalis","doi":"10.3390/stresses3020035","DOIUrl":"https://doi.org/10.3390/stresses3020035","url":null,"abstract":"The Organization for Economic Co-operation and Development (OECD) has set widely used guidelines that are used as a standardized approach for assessing toxicity in a number of species. Given that various studies use different experimental setups, it is difficult to compare findings across them as a result of the lack of a universally used setup in nano-ecotoxicology. For freshwater species, Daphnia magna, a commonly used filter feeding crustacean, can generate significant molecular information in response to pollutant exposure. One factor that has an effect in toxicity induced from nanomaterials in daphnids is the surface-to-volume ratio of the exposure vessels; however, there is limited information available about its impact on the observed effect of exposure. In this study, daphnids were exposed to silver nanoparticle ink in falcon tubes and Petri dishes for 24 h. Toxicity curves revealed differences in the observed mortality of daphnids, with animals exposed in Petri dishes displaying significantly higher mortality. Differences in the activities of a number of key enzymes involved in the catabolism of macromolecules and phosphate were also observed across the exposure setups, indicating possible differences in the toxicity mechanism of silver nano-ink. Understanding the impact of factors relevant to experimental setups in ecotoxicology can increase the reproducibility of testing, and also reduce experimental costs, time, generated waste, and daphnids used in research.","PeriodicalId":54759,"journal":{"name":"Journal of Thermal Stresses","volume":"14 1","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90834839","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-31DOI: 10.1080/01495739.2023.2211632
N. Bazarra, José R. Fernández, R. Quintanilla
Abstract In this work, we study a dynamic problem arising in the MGT-thermoelasti-city. Under some assumptions on the constitutive tensors, the basic equations of the model are derived, leading to a coupled system written in terms of the displacements and the thermal displacements. A MGT dissipation mechanism is considered for the heat equation. An existence and uniqueness result is proved in the three-dimensional case, and the one-dimensional version is analyzed in the case that the coefficients of the constitutive functions are assumed constants. We prove that at least a polynomial decay is found and that, in general, an exponential decay cannot be expected. A couple of remarks concerning particular situations are also proposed. Then, a fully discrete approximation is introduced by using the finite element method and the implicit Euler scheme, proving an a priori error estimates result which, under some additional regularity, leads to the linear convergence of the approximation. Finally, we perform some one-dimensional numerical simulations which show the accuracy and the behavior of the solution.
{"title":"Analysis of a strain-gradient problem arising in MGT thermoelasticity","authors":"N. Bazarra, José R. Fernández, R. Quintanilla","doi":"10.1080/01495739.2023.2211632","DOIUrl":"https://doi.org/10.1080/01495739.2023.2211632","url":null,"abstract":"Abstract In this work, we study a dynamic problem arising in the MGT-thermoelasti-city. Under some assumptions on the constitutive tensors, the basic equations of the model are derived, leading to a coupled system written in terms of the displacements and the thermal displacements. A MGT dissipation mechanism is considered for the heat equation. An existence and uniqueness result is proved in the three-dimensional case, and the one-dimensional version is analyzed in the case that the coefficients of the constitutive functions are assumed constants. We prove that at least a polynomial decay is found and that, in general, an exponential decay cannot be expected. A couple of remarks concerning particular situations are also proposed. Then, a fully discrete approximation is introduced by using the finite element method and the implicit Euler scheme, proving an a priori error estimates result which, under some additional regularity, leads to the linear convergence of the approximation. Finally, we perform some one-dimensional numerical simulations which show the accuracy and the behavior of the solution.","PeriodicalId":54759,"journal":{"name":"Journal of Thermal Stresses","volume":"46 1","pages":"706 - 727"},"PeriodicalIF":2.8,"publicationDate":"2023-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46955861","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-26DOI: 10.1080/01495739.2023.2208186
Tasneem Firdous Islam, G. D. Kedar, S. Anwar
Abstract This paper aims to study the effect of internal heat generation in a transient infinitely long solid cylinder subjected to hygrothermal loadings. The linear dependence theory of moisture and temperature is derived, based on Dufour and Soret effect. The meticulous solutions of temperature, moisture, and thermal stresses are procured by using the Hankel transform technique. The influence of the internal heat source on the radial aspect is examined for coupled and uncoupled cases. In the present study, the composite material T300/5208 is considered and the coupled and uncoupled cases are analyzed. The results obtained are computed numerically and illustrated graphically. The study presented here is purely hypothetical and entirely based on mathematical principles.
{"title":"Transient hygrothermal response of an infinite solid cylinder with internal heat generation","authors":"Tasneem Firdous Islam, G. D. Kedar, S. Anwar","doi":"10.1080/01495739.2023.2208186","DOIUrl":"https://doi.org/10.1080/01495739.2023.2208186","url":null,"abstract":"Abstract This paper aims to study the effect of internal heat generation in a transient infinitely long solid cylinder subjected to hygrothermal loadings. The linear dependence theory of moisture and temperature is derived, based on Dufour and Soret effect. The meticulous solutions of temperature, moisture, and thermal stresses are procured by using the Hankel transform technique. The influence of the internal heat source on the radial aspect is examined for coupled and uncoupled cases. In the present study, the composite material T300/5208 is considered and the coupled and uncoupled cases are analyzed. The results obtained are computed numerically and illustrated graphically. The study presented here is purely hypothetical and entirely based on mathematical principles.","PeriodicalId":54759,"journal":{"name":"Journal of Thermal Stresses","volume":"46 1","pages":"895 - 908"},"PeriodicalIF":2.8,"publicationDate":"2023-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43538372","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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