In this article, the shape effects of copper‐water nanofluid on magnetohydrodynamic boundary layer flow and heat transfer over a nonlinear stretching sheet in a porous medium under the influence of radiation, a heat source, and Joule heating effects are studied. The primary objective of this study is to determine which shape of nanoparticle is most effective in terms of heat transfer rate and to analyze how nanoparticle shape affects it. The governing PDEs are transformed to ODEs through similarity variables, and the numerical solutions are computed with the help of MATLAB's built‐in bvp4c solver. Plots of the velocity and temperature profiles are shown for various key parameters. The stretching parameter decreases both velocity and temperature, whereas the magnetic parameter, porosity, Eckert number, radiation, and heat source escalate temperature profiles. The heat transfer rate of lamina‐shaped nanoparticles is higher than that of other shapes.
{"title":"Nanoparticle shape effects on hydromagnetic flow of Cu‐water nanofluid over a nonlinear stretching sheet in a porous medium with heat source, thermal radiation, and Joule heating","authors":"C. M. Mohana, B. R. Kumar","doi":"10.1002/zamm.202300188","DOIUrl":"https://doi.org/10.1002/zamm.202300188","url":null,"abstract":"In this article, the shape effects of copper‐water nanofluid on magnetohydrodynamic boundary layer flow and heat transfer over a nonlinear stretching sheet in a porous medium under the influence of radiation, a heat source, and Joule heating effects are studied. The primary objective of this study is to determine which shape of nanoparticle is most effective in terms of heat transfer rate and to analyze how nanoparticle shape affects it. The governing PDEs are transformed to ODEs through similarity variables, and the numerical solutions are computed with the help of MATLAB's built‐in bvp4c solver. Plots of the velocity and temperature profiles are shown for various key parameters. The stretching parameter decreases both velocity and temperature, whereas the magnetic parameter, porosity, Eckert number, radiation, and heat source escalate temperature profiles. The heat transfer rate of lamina‐shaped nanoparticles is higher than that of other shapes.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2023-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84276339","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Bilal Ahmad, Tasawar Abbas, Kiran Fatima, Faisal Z. Duraihem, S. Saleem
In this research, we investigate the mixed convection flow of hybrid nano fluid over nonlinear stretching sheet. By imposition of Cu‐Al2O3 as nanoparticles, water as base fluid. Impact of thermal radiation in the existence of magnetic field is considered. Similarity solution is obtained numerically by RK‐Fehlberg (RKF) Method. The velocity field is experimentally stronger due to the force of magnetic parameter. For the case of stretched and shrinkage aiding buoyancy force and opposite flow revealed the bifurcation solution. Velocity of hybrid nanofluid decreases in the presence of magnetic field, while temperature of nanofluid increases for thermal radiation.
{"title":"Nonlinear flow of hybrid nanofluid with thermal radiation: A numerical investigation","authors":"Bilal Ahmad, Tasawar Abbas, Kiran Fatima, Faisal Z. Duraihem, S. Saleem","doi":"10.1002/zamm.202200170","DOIUrl":"https://doi.org/10.1002/zamm.202200170","url":null,"abstract":"In this research, we investigate the mixed convection flow of hybrid nano fluid over nonlinear stretching sheet. By imposition of Cu‐Al2O3 as nanoparticles, water as base fluid. Impact of thermal radiation in the existence of magnetic field is considered. Similarity solution is obtained numerically by RK‐Fehlberg (RKF) Method. The velocity field is experimentally stronger due to the force of magnetic parameter. For the case of stretched and shrinkage aiding buoyancy force and opposite flow revealed the bifurcation solution. Velocity of hybrid nanofluid decreases in the presence of magnetic field, while temperature of nanofluid increases for thermal radiation.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2023-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90358003","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Shuguang Li, S. Khan, Kamel Al-khaled, Ezzat A. Ali, M. Khan, K. M. A. Elamin, Bandar M. Fadhl, B. Makhdoum
The phenomenon of heat as well as mass transfer due to ferromagnetic flow of Oldroyd‐B nanofluid is addressed. The additional thermal source like heat source, thermal radiation, and activation energy features has been implemented to extend the dynamic of flow problem. The source of flow is moving stretching surface with magnetic dipole impact. The convective boundary conditions are implemented. The Boungrino nanofluid model is used to observe the thermophoresis and Brownian motion consequences. The mathematical modeling of problem in view of flow assumptions will be converted into the non‐dimensional form. The numerical shooting technique will be implemented for presenting the approximate simulations. After verifying the solution accuracy, the physical dynamic of problem with variation of parameter is presented. It is noticed that the velocity profile reduces due to ferrohydrodynamic interaction parameter. An enhanced thermal profile is observed due to relaxation time constant and ferrohydrodynamic interaction parameter. Furthermore, the concentration profile reduces for retardation time constant parameter.
{"title":"Development of convective heat transport in nanofluid flow of Oldroyd‐B model with magnetic dipole moment","authors":"Shuguang Li, S. Khan, Kamel Al-khaled, Ezzat A. Ali, M. Khan, K. M. A. Elamin, Bandar M. Fadhl, B. Makhdoum","doi":"10.1002/zamm.202200564","DOIUrl":"https://doi.org/10.1002/zamm.202200564","url":null,"abstract":"The phenomenon of heat as well as mass transfer due to ferromagnetic flow of Oldroyd‐B nanofluid is addressed. The additional thermal source like heat source, thermal radiation, and activation energy features has been implemented to extend the dynamic of flow problem. The source of flow is moving stretching surface with magnetic dipole impact. The convective boundary conditions are implemented. The Boungrino nanofluid model is used to observe the thermophoresis and Brownian motion consequences. The mathematical modeling of problem in view of flow assumptions will be converted into the non‐dimensional form. The numerical shooting technique will be implemented for presenting the approximate simulations. After verifying the solution accuracy, the physical dynamic of problem with variation of parameter is presented. It is noticed that the velocity profile reduces due to ferrohydrodynamic interaction parameter. An enhanced thermal profile is observed due to relaxation time constant and ferrohydrodynamic interaction parameter. Furthermore, the concentration profile reduces for retardation time constant parameter.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2023-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84768339","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Carbon nanotubes have garnered considerable interest from academia and industry due to their unique properties and potential applications. This study examines fluid flow induced by a plate moving at a constant velocity towards/receding from normal stagnation point flow. The plate's surface is immersed with ethylene glycol and two types of carbon nanotubes: single‐walled and multi‐walled. The Reynolds number, proportional to the plate's velocity, governs the flow. Thermal transport analysis includes Ohmic heating, heat source/sink effects for constant wall temperature and prescribed surface temperature, and entropy generation analysis. Similarity ansatz is used to obtain non‐dimensional ordinary differential equations, and numerical and asymptotic solutions are computed using MATLAB's bvp4c routine (finite difference‐based approach). By varying the relevant parameters, the study interprets the behavior of entropy generation, Bejan number, skin frictions, Nusselt number, flow, and energy profiles. The numerical solutions are observed to match their asymptotic behaviors within an intermediate range of small and large Reynolds numbers for the wall stress parameter. The magnetic parameter produces a resistive force that reduces fluid flow but enhances the system's energy. Moreover, understanding the flow and heat transfer characteristics of CNT‐based nanofluids induced by a moving plate can provide insights into the design and optimization of thermal systems, including efficient heat exchangers used in power generation, chemical, and petrochemical industries.
{"title":"Entropy generation analysis of CNT‐based nanofluid flows induced by a moving plate","authors":"M. Sarfraz, Masood Khan","doi":"10.1002/zamm.202200555","DOIUrl":"https://doi.org/10.1002/zamm.202200555","url":null,"abstract":"Carbon nanotubes have garnered considerable interest from academia and industry due to their unique properties and potential applications. This study examines fluid flow induced by a plate moving at a constant velocity towards/receding from normal stagnation point flow. The plate's surface is immersed with ethylene glycol and two types of carbon nanotubes: single‐walled and multi‐walled. The Reynolds number, proportional to the plate's velocity, governs the flow. Thermal transport analysis includes Ohmic heating, heat source/sink effects for constant wall temperature and prescribed surface temperature, and entropy generation analysis. Similarity ansatz is used to obtain non‐dimensional ordinary differential equations, and numerical and asymptotic solutions are computed using MATLAB's bvp4c routine (finite difference‐based approach). By varying the relevant parameters, the study interprets the behavior of entropy generation, Bejan number, skin frictions, Nusselt number, flow, and energy profiles. The numerical solutions are observed to match their asymptotic behaviors within an intermediate range of small and large Reynolds numbers for the wall stress parameter. The magnetic parameter produces a resistive force that reduces fluid flow but enhances the system's energy. Moreover, understanding the flow and heat transfer characteristics of CNT‐based nanofluids induced by a moving plate can provide insights into the design and optimization of thermal systems, including efficient heat exchangers used in power generation, chemical, and petrochemical industries.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2023-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86474771","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We describe the time‐evolution of a tumor spheroid without necrotic core using the quasi‐stationary reaction–diffusion approach. We assume that inhibitor and nutrient supplies are time‐dependent and oscillating by incorporating continuous almost periodic functions in the model. The functional form of the intensity of the mitosis is supposed to be the product of two linear functions depending on the nutrient concentration σ and of the inhibitor concentration, β, respectively. Under some mild conditions, we give criteria predicting two possible global asymptotic limits: either the tumor oscillates converging towards a stable global almost periodic solution or the tumor shrinks as time increases.
{"title":"Tumor spheroid with almost periodic nutrient and inhibitor supplies","authors":"H. Díaz-Marín, O. Osuna","doi":"10.1002/zamm.202200228","DOIUrl":"https://doi.org/10.1002/zamm.202200228","url":null,"abstract":"We describe the time‐evolution of a tumor spheroid without necrotic core using the quasi‐stationary reaction–diffusion approach. We assume that inhibitor and nutrient supplies are time‐dependent and oscillating by incorporating continuous almost periodic functions in the model. The functional form of the intensity of the mitosis is supposed to be the product of two linear functions depending on the nutrient concentration σ and of the inhibitor concentration, β, respectively. Under some mild conditions, we give criteria predicting two possible global asymptotic limits: either the tumor oscillates converging towards a stable global almost periodic solution or the tumor shrinks as time increases.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2023-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78934389","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Shilpa Chaudhary, K. K. Kalkal, Sandeep Singh Sheoran
This article highlights the study of photothermoelastic interactions in a semiconducting fiber‐reinforced anisotropic medium with temperature‐dependent properties. The model is studied in the context of the photothermal transport process with dual‐phase‐lag theory of generalized thermoelasticity. The governing equations describe the interactions between elastic and plasma thermal waves. The normal mode analysis is employed to procure the exact expressions of the physical fields under investigation. A mechanical load is applied at the outer free surface of the medium to obtain the complete solution of the displacements, stresses, temperature, and carrier density distributions. Numerical results are obtained and displayed graphically with the help of MATLAB software. Some special cases of interest have been deduced from the present study and comparisons are also made among the different theories of thermoelasticity.
{"title":"Photothermal interactions in a semiconducting fiber‐reinforced elastic medium with temperature‐dependent properties under dual‐phase‐lag model","authors":"Shilpa Chaudhary, K. K. Kalkal, Sandeep Singh Sheoran","doi":"10.1002/zamm.202300316","DOIUrl":"https://doi.org/10.1002/zamm.202300316","url":null,"abstract":"This article highlights the study of photothermoelastic interactions in a semiconducting fiber‐reinforced anisotropic medium with temperature‐dependent properties. The model is studied in the context of the photothermal transport process with dual‐phase‐lag theory of generalized thermoelasticity. The governing equations describe the interactions between elastic and plasma thermal waves. The normal mode analysis is employed to procure the exact expressions of the physical fields under investigation. A mechanical load is applied at the outer free surface of the medium to obtain the complete solution of the displacements, stresses, temperature, and carrier density distributions. Numerical results are obtained and displayed graphically with the help of MATLAB software. Some special cases of interest have been deduced from the present study and comparisons are also made among the different theories of thermoelasticity.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84381460","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this study, an eigen‐value problem for deformable boundary conditions in nonlocal elasticity is described using Levinson beam theory. Firstly, the nanobeam has been modeled by placing two springs that can be deformed in the downward direction. These springs control the amount of downward displacement at the ends. In the analytical solution, the displacement points are defined by two coefficients and the interior part of the nanobeam deflection is expressed by Fourier sine series. Stokes’ transformation is preferred to enforce the boundary conditions to the desired point. After the mathematical operations, a matrix of coefficients including the general elastic spring constants has been found. The eigenvalues of this coefficient matrix give the frequencies of the Levinson nanobeam. The effect of some parameters on the free vibration frequencies is shown in a series of graphs and tables.
{"title":"Size‐dependent Levinson beam theory for thermal vibration of a nanobeam with deformable boundary conditions","authors":"Ö. Civalek, B. Deliktas, B. Uzun, M. Yaylı","doi":"10.1002/zamm.202300336","DOIUrl":"https://doi.org/10.1002/zamm.202300336","url":null,"abstract":"In this study, an eigen‐value problem for deformable boundary conditions in nonlocal elasticity is described using Levinson beam theory. Firstly, the nanobeam has been modeled by placing two springs that can be deformed in the downward direction. These springs control the amount of downward displacement at the ends. In the analytical solution, the displacement points are defined by two coefficients and the interior part of the nanobeam deflection is expressed by Fourier sine series. Stokes’ transformation is preferred to enforce the boundary conditions to the desired point. After the mathematical operations, a matrix of coefficients including the general elastic spring constants has been found. The eigenvalues of this coefficient matrix give the frequencies of the Levinson nanobeam. The effect of some parameters on the free vibration frequencies is shown in a series of graphs and tables.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2023-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80045677","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
T. Maranna, U. S. Mahabaleshwar, S. N. Ravichandra Nayakar, I. Sarris, B. Souayeh
This research focuses on energy convention and mass transpiration in magnetohydrodynamic hybrid nanofluid (Al2O3–Cu) flows driven by a moving surface, which build numerous applications such as inducing hypothermia in cancer tumors, reducing bleeding in severe injuries, and performing magnetic resonance imaging are only a few medical applications applying magnetohydrodynamics A similarity transformation describes the representational construction of the steady two‐dimensional nonlinear partial differential equations (PDEs) to a set of nonlinear ordinary differential equations (ODEs). Above equations subject to corresponding boundary conditions are analytically solved. Specifically, the energy equation with radiation effect is solved analytically using incomplete Gamma function. Moreover, the graphs included physical representations of the measurement can be found in this paper. In summary, our findings demonstrate that mass‐transfer induced slip has a non‐negligible impact on flows driven by a moving sheet. Mass transfer induced slip may even be able to dominate the flow driven effect of the moving sheet by changing the flow directions to flow against the sheet motion and also thermal radiation parameter increases as thermal boundary layer increases.
{"title":"An influence of radiation and magnetohydrodynamic flow of hybrid nanofluid past a stretching/shrinking sheet with mass transpiration","authors":"T. Maranna, U. S. Mahabaleshwar, S. N. Ravichandra Nayakar, I. Sarris, B. Souayeh","doi":"10.1002/zamm.202300140","DOIUrl":"https://doi.org/10.1002/zamm.202300140","url":null,"abstract":"This research focuses on energy convention and mass transpiration in magnetohydrodynamic hybrid nanofluid (Al2O3–Cu) flows driven by a moving surface, which build numerous applications such as inducing hypothermia in cancer tumors, reducing bleeding in severe injuries, and performing magnetic resonance imaging are only a few medical applications applying magnetohydrodynamics A similarity transformation describes the representational construction of the steady two‐dimensional nonlinear partial differential equations (PDEs) to a set of nonlinear ordinary differential equations (ODEs). Above equations subject to corresponding boundary conditions are analytically solved. Specifically, the energy equation with radiation effect is solved analytically using incomplete Gamma function. Moreover, the graphs included physical representations of the measurement can be found in this paper. In summary, our findings demonstrate that mass‐transfer induced slip has a non‐negligible impact on flows driven by a moving sheet. Mass transfer induced slip may even be able to dominate the flow driven effect of the moving sheet by changing the flow directions to flow against the sheet motion and also thermal radiation parameter increases as thermal boundary layer increases.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84458380","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, the insulated conductivity model with two touching or close‐to‐touching inclusions is considered in with . We establish the pointwise upper bounds on the gradient of the solution for the generalized m‐convex inclusions under these two cases with , which show that the singular behavior of the gradient in the thin gap between two inclusions is described by the first non‐zero eigenvalue of an elliptic operator of divergence form on . Finally, the sharpness of the estimates is also proved for two touching axisymmetric insulators, especially including curvilinear cubes.
{"title":"Gradient estimates for the insulated conductivity problem with inclusions of the general m‐convex shapes","authors":"Zhiwen Zhao","doi":"10.1002/zamm.202200324","DOIUrl":"https://doi.org/10.1002/zamm.202200324","url":null,"abstract":"In this paper, the insulated conductivity model with two touching or close‐to‐touching inclusions is considered in with . We establish the pointwise upper bounds on the gradient of the solution for the generalized m‐convex inclusions under these two cases with , which show that the singular behavior of the gradient in the thin gap between two inclusions is described by the first non‐zero eigenvalue of an elliptic operator of divergence form on . Finally, the sharpness of the estimates is also proved for two touching axisymmetric insulators, especially including curvilinear cubes.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2023-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79345717","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We investigate the uniformity of anti‐plane stresses inside two interacting p‐Laplacian nonlinear elastic non‐elliptical inhomogeneities embedded in an infinite linear elastic matrix subjected to uniform remote anti‐plane stresses. In our discussion, the two inhomogeneities have a common nonlinear shear modulus. The uniformity of the internal stresses is accomplished through the numerical solution of a single non‐linear equation.
{"title":"Uniform anti‐plane stress field within two nonlinear elastic non‐elliptical inhomogeneities","authors":"Xu Wang, P. Schiavone","doi":"10.1002/zamm.202300443","DOIUrl":"https://doi.org/10.1002/zamm.202300443","url":null,"abstract":"We investigate the uniformity of anti‐plane stresses inside two interacting p‐Laplacian nonlinear elastic non‐elliptical inhomogeneities embedded in an infinite linear elastic matrix subjected to uniform remote anti‐plane stresses. In our discussion, the two inhomogeneities have a common nonlinear shear modulus. The uniformity of the internal stresses is accomplished through the numerical solution of a single non‐linear equation.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2023-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78026284","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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