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Mechanical aspects of Maxwell nanofluid in dynamic system with irreversible analysis ZAMM (IF 1.603) Pub Date : 20210728
Noor Saeed Khan, Qayyum Shah, Arif Sohail, Poom Kumam, Phatiphat Thounthong, Taseer MuhammadThe study concerns with the mechanical characteristics of rotating system of two double disks. Hall current effect, entropy generation, Arrhenius activation energy and binary chemical reactions are investigated in heat and mass transfer bioconvection flow of Maxwell nanofluid. Brownian motion and thermophoresis with thermal radiation and buoyancy effects are encountered in the governing equations.

Verification of strain gradient elasticity computation by analytical solutions ZAMM (IF 1.603) Pub Date : 20210726
Hua Yang, Dmitry Timofeev, B. Emek Abali, Baotong Li, Wolfgang H. MüllerAs there are different computational methods for simulating problems in generalized mechanics, we present simple applications and their closedform solutions for verifying a numerical implementation. For such a benchmark, we utilize these analytical solutions and examine threedimensional numerical simulations by the finite element method (FEM) using IsoGeometric Analysis (IGA) with the aid of open

An exact solution of a fluidstructure interaction problem ZAMM (IF 1.603) Pub Date : 20210726
Eduard MarušićPalokaWe construct an exact solution for a stationary fluid flow through a channel with upper wall attached to an elastic spring. The position of the upper wall is determined from the interaction between the fluid and the wall. It is displacement computed from a quartic equation that can be solved by radicals and the solution is proved to be physically reasonable.

Porosity and phase lags response of thick circular plate in modified couple stress thermoelastic medium ZAMM (IF 1.603) Pub Date : 20210716
Rajneesh Kumar, Sachin Kaushal, Vikram DahiyaThe problem of thick circular plate in modified couple stress thermoelastic with voids (MCTV) is examined to study response of porosity, phase lags, one relaxation time and couple stress parameter. Governing equations are formulated for the new model and are solved by using Laplace and Hankel transform techniques. Normal load, thermal source and source over volume fraction field of voids (SVFV) of

On a three step twogrid finite element method for the Oldroyd model of order one ZAMM (IF 1.603) Pub Date : 20210716
Bikram Bir, Deepjyoti GoswamiIn this work, an optimal error analysis of a three step twogrid method for the equations of motion arising in the 2D Oldroyd model of order one is discussed. The model, which can be thought of as an integral perturbation of NavierStokes equations (NSE), represents linear viscoelastic fluid flows. This nonlinear model is analyzed here using a three step numerical scheme. In the first step the problem

Diffusion in inhomogeneous media with periodic microstructures ZAMM (IF 1.603) Pub Date : 20210715
Micol Amar, Daniele Andreucci, Emilio N.M. CirilloDiffusion in inhomogeneous materials can be described by both the Fick and Fokker–Planck diffusion equations. Here, we study a mixed Fick and Fokker–Planck diffusion problem with coefficients rapidly oscillating both in space and time. We obtain macroscopic models performing the homogenization limit by means of the unfolding technique.

Dualphaselag heat conduction with microtemperatures ZAMM (IF 1.603) Pub Date : 20210714
Zhuangyi Liu, Ramon Quintanilla, Yang WangIn this paper, we propose a system of equations governing the dualphaselag heat conduction with microtemperatures. Several conditions on the coefficients are imposed so that the energy of the system is positive definite and dissipative. On this base we prove the wellposedness and exponential stability of the system by means of the semigroup theory and frequency domain method.

Lyapunov instability of the stationary flows of polymeric fluid with constant flow rate ZAMM (IF 1.603) Pub Date : 20210710
Alexander M. Blokhin, Dmitry L. TkachevWe study a rheological PokrovskiVinogradov model for the flows of solutions and melts of incompressible viscoelastic polymeric medium in case of a flow in an infinite plane channel with perforated walls. We prove the linear Lyapunov instability of the base solution with the constant flow rate in a perturbation class, periodic with respect to the variable, changing along the channel wall.

Editorial ZAMM (IF 1.603) Pub Date : 20210708
Alexander FidlinThe 4th International Conference on VibroImpact Systems and Systems with Contact and Friction was organized by the International Centre of VibroImpact Systems (ICoVIS), Karlsruhe Institute of Technology and Kassel University with financial support of the German Research Foundation (DFG) and AVL List GmbH. It took place in Kassel, Germany on July 30August 3, 2018. Four keynote lectures and 34 regular

Waves in thermoelastic solid halfspace containing voids with liquid loadings ZAMM (IF 1.603) Pub Date : 20210703
Vijayata Pathania, Pallvi JoshiThe influence of the voids in the propagation of timeharmonic plane waves in a semiinfinite homogeneous isotropic thermoelastic medium in contact with inviscid liquid halfspace has been explored under the LordShulman theory of thermoelasticity. The incompressible and nonviscous liquid is taken in the upper halfspace and the effect of gravity on the whole system is assumed to be negligible. The

Comment on the paper “A new analytical approach for the research of thinfilm flow of magneto hydrodynamic fluid in the presence of thermal conductivity and variable viscosity, Liaqat Ali, Asifa Tassaddiq, Rohail Ali, Saeed Islam, Taza Gul, Poom Kumam, Safyan Mukhtar, Noor Saeed Khan, Phatiphat Thounthong, ZAMM, 2021;101:E201900292” ZAMM (IF 1.603) Pub Date : 20210630
Asterios PantokratorasSome errors exist in the above paper.

A thermoelastic microelongated layer under the effect of gravity in the context of the dualphase lag model ZAMM (IF 1.603) Pub Date : 20210625
Mohamed I. A. Othman, Sarhan Y. Atwa, Ebtesam E. M. Eraki, Mohamed F. IsmailThis paper aims to present a LordShulman theory of one relaxation time and the dualphaselag model of tworelaxation times to study the effect of gravity on both the microelongated thermoelasticity layer and the elastic layer in the above. The normal mode analysis was used to obtain the expressions of the displacement components, the microelongational scalar, and the stress components. Comparisons

Interaction of collinear interface cracks between dissimilar onedimensional hexagonal piezoelectric quasicrystals ZAMM (IF 1.603) Pub Date : 20210624
Keqiang Hu, Cunfa Gao, Zheng Zhong, Zengtao ChenIn this paper, the interaction of collinear interface cracks between dissimilar onedimensional (1D) hexagonal quasicrystals with piezoelectric effect under antiplane shear and inplane electric loading has been studied. By using complex variable method the mixed boundary value problem for the interface cracks was reduced to the solution of RiemannHilbert problem. Analytic fullfield solution for

Stabilization and numerical treatment for swelling porous elastic soils with fluid saturation ZAMM (IF 1.603) Pub Date : 20210623
Dilberto S. Almeida Júnior, Anderson J. A. Ramos, Alberto S. Noé, Mirelson M. Freitas, Pedro T. P. AumIn the current study, we analyze the asymptotic behavior of the solutions of onedimensional initial boundary value problem associated with the isothermal linear theory of swelling porous elastic media. Our main results are the wellposedness of the system as well as the exponential stabilization of solution and the discretization of the equations using a particular numerical scheme, which allowed

A new positivitypreserving domain decomposition method for the 2D diffusion equation ZAMM (IF 1.603) Pub Date : 20210621
Dongxu JiaIn this paper, we propose a new domain decomposition method for the 2D diffusion equation. The scheme is positivitypreserving with essential parallelism. First, we decompose the domain into many subdomains, and then some new schemes are used on the subdomains according to dimension. Moreover, only local communication is needed at each time level in the parallel programs. The method of discrete

Analyticity of solutions to thermoelasticplastic flow problem with microtemperatures ZAMM (IF 1.603) Pub Date : 20210615
Moncef Aouadi, Mohamed Ben Bettaieb, Farid AbedMeraimIn this paper, we study some qualitative and numerical properties of new equations including the coupled effects of thermal elasticplastic theory with microtemperatures. We establish the necessary and sufficient conditions to guarantee that the model dissipates energy. The onedimensional case, which corresponds to isotropic hardening problem, is chosen in order to present some qualitative and numerical

Unsteady MHD flow due to eccentric rotations of a porous disk and an oscillating fluid at infinity ZAMM (IF 1.603) Pub Date : 20210615
Zahid HussainAn exact solution of time dependent NavierStokes equations is constructed by taking the flow due to eccentric rotations of a porous disk and an oscillating fluid at infinity into account under the influence of a uniform magnetic field. Laplace transform technique is utilized to obtain the shear stress components in the fluid and on the disk and analytical solution of the proposed problem. Three cases

Adaptive boundary stabilization of a nonlinear axially moving string ZAMM (IF 1.603) Pub Date : 20210615
Abdelkarim Kelleche, Nasser Eddine TatarIn this paper, we are interested in stabilizing a nonlinear axially moving string by an adaptive boundary control. The existence and uniqueness of a solution of the closed loop system is dealt with in the framework of the nonlinear semigroup theory by using a theorem due to CrandallLiggett. The control is constructed through a lowgain adaptive velocity feedback. It is shown that the formulated control

Vanishingviscosity solutions to a rateindependent twofield gradient damage model ZAMM (IF 1.603) Pub Date : 20210615
Livia BetzA rateindependent damage model which features two damage variables coupled through a penalty term in the stored energy is considered. Since the energy functional is nonconvex, solutions may be discontinuous in time. This calls for suitable notions of (weak) solutions which allow for jumps. We resort to a vanishingviscosity approach based on an L 2 ( Ω ) − arclength parametrization, where parametrized

Triple stratification effects on bioconvective stagnation point flow pertaining carbon nanotubes due to induced magnetic field ZAMM (IF 1.603) Pub Date : 20210612
Sujesh Areekara, Alappat Sunny Sabu, Rakesh Kumar, Alphonsa MathewThe bioconvective stagnation point flow involving carbon nanotubes along a lengthening sheet subject to induced magnetic field and multiple stratification effects has been considered for investigation. Relevant similarity formulas are effectuated in converting the modelled equations into a firstorder system of ODEs and are further treated in MATLAB using ODE45 and Newton Raphson method. Illustrations

Axisymmetric hybrid nanofluid flow with heat and mass transfer amongst the two gyrating plates ZAMM (IF 1.603) Pub Date : 20210609
Muhammad Bilal, Taza Gul, Abdelaziz Alsubie, Ishtiaq AliThe combined effects of magnetic and electrohydrodynamic on the waterbased iron oxide and CNTs hybrid nanoliquids flow between two rotating plates are examined. The influence of electromagnetohydrodynamics on the mass and heat transmission characteristics is the main aim of this study. The hybrid nanofluid is synthesized using water as a base fluid in the (Iron oxide) Fe 2 O 3 , single and multiwalled

KKL correlation for simulation of nanofluid flow over a stretching sheet considering magnetic dipole and chemical reaction ZAMM (IF 1.603) Pub Date : 20210608
R. J. Punith Gowda, R. Naveen Kumar, A. M. Jyothi, B. C. Prasannakumara, Kottakkaran Sooppy NisarThe enhancement of heat transfer is an important factor in heat exchangers, nuclear reactors, electric coolers and solar collectors. The enhance in rate of heat and mass transfer can be achieved by choosing suitable nanofluid or ferromagnetic fluid as an active liquid. In this connection, we have investigated the ferromagnetic nanofluid flow past a flat elastic sheet with porous medium and chemical

Nonlocal response of multifield coupling elastic medium based on fractional order strain ZAMM (IF 1.603) Pub Date : 20210520
Yongbin Ma, Le Wang, Fei Huang 
Metal failure effects predicted accurately with a unified and explicit criterion ZAMM (IF 1.603) Pub Date : 20210605
SiYu Wang, Lin Zhan, Otto Timme Bruhns, Heng XiaoA new criterion for predicting metal failure effects under cyclic loading conditions is derived from an innovative elastoplasticity model established most recently. As compared with usual approaches, novel results with this new criterion are presented in four respects: (i) both low and high cycle fatigue effects can be simultaneously simulated in a unified and direct manner; (ii) cumbersome trialanderror

Stress analysis of an orthotropic elastic infinite plane with a hole ZAMM (IF 1.603) Pub Date : 20210603
Norio HasebeA general solution (stress functions) is derived for an orthotropic elastic plane problem using a mapping function to solve arbitrary configurations. Lekhnitskii formulism using complex variable is used. A problem of an infinite orthotropic elastic plane with a hole is solved. The boundary condition is represented by two complex variables. This makes it difficult to solve the orthotropic elastic plane

Deferred defectcorrection finite element method for the DarcyBrinkman model ZAMM (IF 1.603) Pub Date : 20210530
Yunhua Zeng, Pengzhan Huang, Yinnian HeThis paper proposes a deferred defectcorrection method for the timedependent nonlinear DarcyBrinkman model based on the mixed finite element method. The presented method combines the deferred correction strategy with the defectcorrection method and involves two steps. In the first step, a defect DarcyBrinkman model is solved. Then in the second step, a correction DarcyBrinkman model based on

On the magnetic Schrödinger hyperbolic equation with randomized coefficients ZAMM (IF 1.603) Pub Date : 20210528
Xiaojun LuMagnetic Schrödinger type equations are important physical models in the study of quantum electrodynamics (QED). This manuscript focuses on the regularity behavior of the solution of the stochastic hyperbolic equation influenced by various types of exponentially oscillating coefficients on the principal Hamiltonian operator part. Techniques from harmonic analysis and stochastic analysis are applied

Granular micromechanicsbased identification of isotropic strain gradient parameters for elastic geometrically nonlinear deformations ZAMM (IF 1.603) Pub Date : 20210528
Emilio Barchiesi, Anil Misra, Luca Placidi, Emilio TurcoAlthough the primacy and utility of highergradient theories are being increasingly accepted, values of second gradient elastic parameters are not widely available due to lack of generally applicable methodologies. In this paper, we present such values for a secondgradient continuum. These values are obtained in the framework of finite deformations using granular micromechanics assumptions for materials

Anisotropic thermomagnetic effects on the universal stability of a diffusive state in porous media ZAMM (IF 1.603) Pub Date : 20210521
S. Saravanan, D. Brindha, H. YamaguchiA nonlinear study is made to find the influence of transverse anisotropy on the onset of thermomagnetic convection in a homogeneous and rotating porous medium. The medium is filled with a magnetic fluid and is subjected to centrifugal force with alternating directions. Unconditional nonlinear stability bounds are found by exploiting the variational principles. Effects of various parameters on the stability

A thickpoint approximation of a small body embedded in an elastic medium: justification with an asymptotic analysis ZAMM (IF 1.603) Pub Date : 20210521
Arnaud Heibig, Nidhal Mannai, Adrien Petrov, Yves RenardThe present paper proposes an approximation of the influence of a small inhomogeneity, having different stiffness, in an elastic medium restricting its cinematics to a finite dimensional space. The problem, for the unknown displacement, is written in accordance of transmission conditions between elastic medium and inhomogeneity. The multiscale asymptotic expansions techniques, by using some corrective

3D hybrid model of foundationsoilfoundation dynamic interaction ZAMM (IF 1.603) Pub Date : 20210519
Hendrawan D. B. Aji, Frank Wuttke, Petia Dineva3D dynamic interaction of two adjacent elastic foundations embedded in a finite layered soil region rested in a homogeneous elastic isotropic halfspace with a transient dynamic source is studied. The hybrid computational model, the corresponding numerical scheme and the accompanied software are developed, verified and inserted in detail parametric study. The hybrid approach is based on (a) finite

Stress concentration due to the biaxial deformation of a plate of a porous elastic body with a hole ZAMM (IF 1.603) Pub Date : 20210518
Pavitra Murru, K.R. RajagopalMost solid bodies are porous and in such bodies we expect the material properties to vary with porosity and hence with the density. Such bodies whose properties depend on the density cannot be described by the classical linearized elastic constitutive relation when they are undergoing small deformations, as the material moduli cannot depend on density. A constitutive relation which is valid in the

Minimum‐series twist distributions for yawing‐moment control during pure roll* ZAMM (IF 1.603) Pub Date : 20210516
Douglas F. Hunsaker, Bruno Moorthamers, James J. JooThe main wings of most aircraft produce adverse yaw during roll. In order to control the lateral direction of the aircraft during the roll, the rudder is often mixed with the aileron. Lifting‐line theory is used here to develop spanwise lift distributions that require the minimum number of terms in the Fourier‐series solution for controlling the yawing moment during pure rolling motion using only the

On the importance of proper kernel normalization procedure in nonlocal integral continuum modeling of nanobeams ZAMM (IF 1.603) Pub Date : 20210515
Amin Anjomshoa, Behrooz HassaniIncreasing the bending analysis accuracy of nanobeams employing the nonlocal integral (NI) models is the subject of this paper. It is shown in this study that if the kernel of the NI model is not properly normalized, the natural boundary conditions will be violated and the deflections will be noticeably overestimated. Two kernel normalization procedures, borrowed from other disciplines, are rigorously

Double‐diffusive convection in a porous complex‐shaped cavity suspended by nano‐encapsulated phase change materials ZAMM (IF 1.603) Pub Date : 20210514
Abdelraheem M. Aly, Noura AlsedaisThis paper simulates a double‐diffusive convection of suspended nano‐encapsulated phase change materials (NEPCM) embedded inside a porous complex‐shaped cavity. The ISPH method is employed to handle the controlling equations in dimensionless form. The complex‐shaped cavity consists of a circular cylinder mounted vertically on two rectangle shapes. Variable‐length on the left wall is maintained at a

Heatline visualization of natural convection heat transfer for nanofluids confined within parallelogrammic cavities in presence of discrete isoflux sources ZAMM (IF 1.603) Pub Date : 20210514
Ahmed Hadi Hussain, Ali Meer Ali Al‐Zamily, Farooq Hassan Ali, Salam Hadi HussainNatural convection in a parallelogrammic enclosure filled with different types of nanofluids (Al2O3, Ag and TiO2) subjected to three discrete heated isoflux is examined numerically by using a heatlines visualization method. The position of three discrete isoflux are at left and right sidewalls remark by (λ = 0.25), while the third isoflux at a bottom wall remark by (ζ = 0.5). The top wall with the

Transient thermoelastic response of a size‐dependent nanobeam under the fractional order thermoelasticity ZAMM (IF 1.603) Pub Date : 20210512
Wei Peng, Yongbin Ma, Tianhu HeWith the miniaturization of structures, such as MEMS/NEMS, the size‐dependent effect has become an issue and attracted much attention. The well‐known theories describing the size‐dependent effect mainly include the nonlocal elasticity theory, the strain gradient theory and the modified coupled stress theory. Based on these theories, a number of works have been conducted to explore the size‐dependent

Analytical solution of the bending problem of free orthotropic rectangular thin plate on two‐parameter elastic foundation ZAMM (IF 1.603) Pub Date : 20210512
Eburilitu Bai, Chunling Zhang, Alatancang Chen, Xin SuThe bending problem of free orthotropic rectangular thin plate (RTP) on two‐parameter elastic foundation under a concentrated load is studied by the symplectic superposition method. Firstly, the original bending problem is decomposed into three subproblems by analyzing load effects and boundary conditions, each of which is the bending problem of the plate with two opposite edges slidingly supported

Vector solitons for the (2 + 1)‐dimensional coupled nonlinear Schrödinger system in the Kerr nonlinear optical fiber ZAMM (IF 1.603) Pub Date : 20210512
Yan Sun, Bo Tian, Qi‐Xing Qu, Han‐Peng Chai, Yu‐Qiang Yuan, Wen‐Rui Shan, Yan JiangInvestigated in this paper is the (2 + 1)‐dimensional coupled nonlinear Schrödinger system, which describes the propagation of the optical soliton through the Kerr nonlinear fiber in which each component diffracts in two transverse dimensions. By virtue of the Kadomtsev‐Petviashvili hierarchy reduction, we obtain the bright, dark and mixed vector soliton solutions in terms of the Gramian. We investigate

Modeling of thermoelastic diffusion plate under two temperature, fractional‐order, and temperature‐dependent material properties ZAMM (IF 1.603) Pub Date : 20210512
Ankit Bajpai, P. K. Sharma, Rajneesh KumarA mathematical model is formulated to study the thermoelastic diffusion in the plate using two temperature fractional order theory in materials having temperature‐dependent elastic properties. Governing equations for the considered two‐dimensional problem are deduced. The plate is considered as unstrained and unstressed at uniform temperature initially. Governing equations are non‐dimensionalized and

New analytical method for dynamic response of thermoelastic damping in simply supported generalized piezothermoelastic nanobeam ZAMM (IF 1.603) Pub Date : 20210508
Iqbal Kaur, Kulvinder Singh, Gilbert Marius Daniel GhitaThe present paper deals with the application of one‐dimensional piezoelectric materials in particular piezo‐thermo‐elastic nanobeam in the context of generalized piezothermoelastic theory. The ends of the nanobeam are considered to be simply supported and at a constant temperature. The mathematical model so formed is solved to obtain the non‐dimensional expressions for lateral deflection, electric

Indentation method accounting for thickness effect of viscoelastic layer ZAMM (IF 1.603) Pub Date : 20210507
Kotaro Miura, Chihiro Oyama, Makoto Sakamoto, Yuji TanabeIndentation tests have been widely used to evaluate the mechanical properties of industrial and biological materials in many studies. In this study, we obtained an analytical solution for the axisymmetric contact problem for a viscoelastic layer bonded to a rigid substrate and indented by a flat‐ended cylindrical punch using the elastic–viscoelastic correspondence principle. The analytical solution

Application of discontinuity layout optimization method to bearing capacity of shallow foundations on rock masses ZAMM (IF 1.603) Pub Date : 20210504
Miguel Angel Millán, Rubén Galindo, Ana AlencarThe discontinuity layout optimization (DLO) method is applied to obtain the bearing capacity of rock masses where it is necessary to consider a non‐linear resistance law. In rock mechanics, it is widely accepted the modified Hoek & Brown failure criterion, developed for homogeneous and isotropic rock masses. The results obtained with the DLO method are compared with those obtained from the analytical

Benchmarking the difference of moving follower and normal loads on linear and nonlinear Euler‐Bernoulli and Timoshenko beams ZAMM (IF 1.603) Pub Date : 20210504
Ara S. Avetisyan, Asatur Zh. KhurshudyanIn this short note, we compare the influence of follower and normal loads moving over a simply supported beam in case when the transverse shear deformation or von Kármán strains or both are taken into account. Eventually, beyond elasticity limit, there is not a significant difference between the influences of these loads.

Numerical simulation of a mixed vertical ventilation system ZAMM (IF 1.603) Pub Date : 20210429
Jacob NaglerThe following work describes the process of finding the flow and the temperature fields for a given ventilation system configuration. In order to simplify the problem, the flow was characterized as 2D, incompressible, viscous and in constant state. First, the governing equations in terms of the stream function, vorticity and Reynolds number have been developed. The obtained mathematical model for the

The optimal decay rates of classical solutions to the 3D compressible Navier‐Stokes equations ZAMM (IF 1.603) Pub Date : 20210428
Fuyi Xu, Meiling Chi, Jiqiang Jiang, Yujun CuiIn this paper, we revisit the optimal time decay rates of classical solutions to the 3D compressible Navier‐Stokes equations. Based on a global priori estimate, the optimal time decay rates of the solution and its first order derivative in L2‐norm are obtained if H l ‐norm ( l ≥ 4 ) of the initial perturbation around a constant state is small enough and ∥ ( ρ 0 − ρ ¯ , m 0 ) ∥ B ̇ 1 , ∞ − s ℓ is bounded

Fast evaluation for magnetohydrodynamic flow and heat transfer of fractional Oldroyd‐B fluids between parallel plates ZAMM (IF 1.603) Pub Date : 20210427
Yi Liu, Hui Zhang, Xiaoyun JiangIn this work, we establish a model to describe the unsteady magnetohydrodynamic (MHD) flow of fractional Oldroyd‐B fluid between parallel plates on heat transfer, by introducing the fractional derivative into the constitutive equation. The flow is driven by magnetic, electroosmotic and pressure gradient forcings. In the numerical implementation, the spectral collocation method combined with fast algorithm

The asymptotic profile of solutions to damped Euler equations ZAMM (IF 1.603) Pub Date : 20210426
Dongsheng Xu, Xiongfeng YangThis paper is concerned with the asymptotic behavior of solution to the damped Euler equation far away from vacuum. First of all, the global existence together with the decay rate of the solution and its derivatives are derived by the standard energy method. The decay rates of the solution operator are further improved by Green function method. Finally, the solution of damped Euler equation is confirmed

Two‐dimensional thin layer convective flow with heat transfer from magneto‐hydrodynamic uniform free convection flow driven by nonlinear stretching surface ZAMM (IF 1.603) Pub Date : 20210426
Mohammad Ferdows, Faris AlzahraniA uniform two‐dimensional magneto‐hydrodynamic convection flow of an adhesive incompressible fluid along a vertical stretching surface in accordance with varying thermal conductivity and radiation is analyzed. The uppermost layer temperature, the transverse magnetic field and the stretching velocity are presumed to alter as a power function of the distance from the origin. The non‐linear PDE (partial

Stability near equilibrium to the full compressible magnetohydrodynamic equations ZAMM (IF 1.603) Pub Date : 20210426
Yuanyuan Dan, Xiaoping Zhai, Fei Chen, Yongsheng LiIn this paper, we consider the stability near equilibrium to the full compressible magnetohydrodynamic equations on the torus T 3 . We prove the global regular solutions converge to equilibrium with an exponential rate provided that the magnetic B is bounded, the density ρ and the temperature θ are bounded above and away from zero.

Finite element treatment for nanofluids flow within enclosures filled with hydrodynamically and thermally anisotropic porous media: Impacts of sinusoidal heating ZAMM (IF 1.603) Pub Date : 20210426
Sameh E. AhmedThe local thermal non‐equilibrium model (LTNEM) in case of a sinusoidal heating is applied to investigate the unsteady nanofluid flow and thermal fields inside an inclined enclosure filled with a thermally and hydrodynamically anisotropic porous medium. The Galerkin finite element method (GFEM) together with the Characteristic‐based Split (CBS) Scheme is used to solve the dimensionless governing equations

Solution of reactive flow in a rocket engine nozzle with Paraffin/Kerosene propellants ZAMM (IF 1.603) Pub Date : 20210418
Jacob NaglerThis paper presents a simulation‐based solution for calculating rocket engine performance with liquid‐type propellants of Paraffin and Kerosene for oxidizer to fuel ratio that is given by a linear formula. The engine was divided into two main stages: combustion chamber and a nozzle. In the first phase, conditions were found in the combustion chamber, based on the assumption of equilibrium according

Local equilibrium approximation in free turbulent flows: Verification through the method of differential constrains ZAMM (IF 1.603) Pub Date : 20210406
Vladimir N. Grebenev, Andrew G. Demenkov, Gennady G. Chernykh, Alexandre N. GrichkovWe present a full version of the results obtained in Grebenev et al [Doklady Physics 47(7), 518–521 (2002)] wherein the closure formula, that is, the local equilibrium approximation of second‐order moments for modeling free turbulent flows was justified by the method of differential constrains. The proposed analysis provides us a point of view from the modern theory of symmetry analysis on the closure

Internal inertia gradient effect on two mode magneto‐elastic wave propagation ZAMM (IF 1.603) Pub Date : 20210326
Uğur GüvenIn this study, two‐mode harmonic wave propagation for thick rods subjected to a transverse magnetic field is addressed. The analysis is based on the Mindlin‐Herrmann rod theory and the unified strain/inertia gradient model. The effects of the strain and inertial gradient parameters on lower and upper modes under different magnetic field intensities are presented in detail and discussed. This study

First yield in the Maugis‐adhesive contact of elastic spheres ZAMM (IF 1.603) Pub Date : 20210325
Jean‐Emmanuel Leroy, Emanuel WillertWe analyze the onset of plastic yield in the Maugis‐adhesive contact of elastic spheres. Written in proper dimensionless variables, the problem solution depends on Poisson's ratio, the Tabor parameter and a non‐dimensional adhesion strength. The influences of adhesion range and strength are studied in detail. First yield can either occur inside the bodies on the axis of symmetry (for long range adhesion)

On the elastic limit stresses and failure of rotating variable thickness fiber reinforced composite disk ZAMM (IF 1.603) Pub Date : 20210322
Ömer Can Farukoğlu, İhsan KorkutThe outline of this study examines the elastic limit stresses and failure of rotating variable thickness disk composed of fiber reinforced material via utilizing Tsai‐Wu criterion. As known, strength parameters ( F i , F i j ), obtained with the tensile and compressive strength of the material, should be calculated to apply this criterion. In the literature, one may come across different approaches

Non‐local stress and electric displacement solution of a 3D semi‐permeable rectangular crack in infinite orthotropic piezoelectric materials ZAMM (IF 1.603) Pub Date : 20210320
Hai‐Tao Liu, Peng‐Hui Wang, Yan‐Hui QieThe paper presents the non‐local stress and electric displacement solution of a 3D semi‐permeable rectangular crack in infinite orthotropic piezoelectric materials (OPMs). With the help of the generalized Almansi's theorem and 2D Fourier transform, the boundary problem is formulated by three pairs of dual integral equations, and the displacement jumps across the crack surfaces are defined. The Schmidt

Inverse Hooke's law and complementary strain energy in coupled strain gradient elasticity ZAMM (IF 1.603) Pub Date : 20210320
Lidiia Nazarenko, Rainer Glüge, Holm AltenbachThe inverse Hooke's law and complementary strain energy density has been examined in the context of the theory of coupled gradient elasticity for second gradient materials. To this end, it was assumed that the potential energy density is a quadratic form of the strain and of the second gradient of displacement. Existence of the coupling term significantly complicates the problem. To avoid this complication

Multiple scattering of flexural waves on Mindlin plates with circular scatterers ZAMM (IF 1.603) Pub Date : 20210316
Yohei Kinoshita, Shiro Biwa, Zuowei WangThe multiple scattering of flexural waves on an elastic plate with circular scatterers is analyzed in the frequency domain based on the Mindlin plate theory accounting for the rotary inertia and shear deformation of the plate. To this purpose, a semi‐analytical numerical method is formulated as an extension of the previous study based on the Kirchhoff plate theory. It consists of expressing the flexural

The electroelastic fields inside and outside a piezoelectric parabolic inclusion with uniform eigenstrains and eigenelectric fields ZAMM (IF 1.603) Pub Date : 20210315
Xu Wang, Peter SchiavoneUsing the Stroh octet formalism, we obtain the electroelastic fields in an infinite homogeneous piezoelectric medium containing a parabolic Eshelby inclusion undergoing uniform eigenstrains and eigenelectric fields. We prove that the internal electroelastic field defining stresses, total strains, electric displacements, total electric fields and rigid‐body rotation inside the parabolic inclusion is