Thermal-mechanical Coupling in Shear Deformation of Viscoelastic Material as a Model of Frictional Constitutive Relations

2002 ◽  
pp. 2011-2028 ◽  
Author(s):  
Masanori Kameyama ◽  
Yoshiyuki Kaneda
Keyword(s):  
Shear Deformation ◽  
Viscoelastic Material ◽  
Constitutive Relations ◽  
Mechanical Coupling

A Fully Coupled Theory and Variational Principle for Thermal–Electrical–Chemical–Mechanical Processes

2014 ◽  
Vol 81 (11) ◽  
Author(s):  
Pengfei Yu ◽  
Shengping Shen
Keyword(s):  
Variational Principle ◽  
Electrostatic Potential ◽  
Constitutive Relations ◽  
Irreversible Thermodynamics ◽  
Electrochemical Reactions ◽  
Mechanical Coupling ◽  
Field Diffusion ◽  
Chemical And Biological Systems ◽  
Fully Coupled ◽  
Large Research

Thermal–electrical–chemical–mechanical coupling controls the behavior of many transport and electrochemical reactions processes in physical, chemical and biological systems. Hence, advanced understanding of the coupled behavior is crucial and attracting a large research interest. However, most of the existing coupling theories are limited to the partial coupling or particular process. In this paper, on the basis of irreversible thermodynamics, a variational principle for the thermal electrical chemical mechanical fully coupling problems is proposed. The complete fully coupling governing equations, including the heat conduction, mass diffusion, electrochemical reactions and electrostatic potential, are derived from the variational principle. Here, the piezoelectricity, conductivity, and electrochemical reactions are taken into account. Both the constitutive relations and evolving equations are fully coupled. This theory can be used to deal with coupling problems in solids, including conductors, semiconductors, piezoelectric and nonpiezoelectric dielectrics. As an application of this work, a developed boundary value problem is solved numerically in a mixed ion-electronic conductor (MIEC). Numerical results show that the coupling between electric field, diffusion, and chemical reactions influence the defect distribution, electrostatic potential and mechanical stress.

A NEW NONLOCAL BEAM THEORY WITH THICKNESS STRETCHING EFFECT FOR NANOBEAMS

2013 ◽  
Vol 12 (04) ◽  
pp. 1350025 ◽  
Author(s):  
ABDELOUAHED TOUNSI ◽  
SOUMIA BENGUEDIAB ◽  
MOHAMMED SID AHMED HOUARI ◽  
ABDELWAHED SEMMAH
Keyword(s):  
Shear Deformation ◽  
Constitutive Relations ◽  
Equations Of Motion ◽  
Nonlocal Parameter ◽  
Beam Theory ◽  
Dynamic Responses ◽  
Theoretical Development ◽  
Small Scale ◽  
Small Scale Effect ◽  
Nonlocal Beam

This paper presents a new nonlocal thickness-stretching sinusoidal shear deformation beam theory for the static and vibration of nanobeams. The present model incorporates the length scale parameter (nonlocal parameter) which can capture the small scale effect, and it accounts for both shear deformation and thickness stretching effects by a sinusoidal variation of all displacements through the thickness without using shear correction factor. Based on the nonlocal differential constitutive relations of Eringen, the equations of motion of the nanobeam are derived using Hamilton's principle. The effects of nonlocal parameter, aspect ratio and the thickness stretching on the static and dynamic responses of the nanobeam are discussed. The theoretical development presented herein may serve as a reference for nonlocal theories as applied to the bending and dynamic behaviors of complex-nanobeam-system such as complex carbon nanotube system.

scholarly journals Numerical study of TRIP transformation in 35NCD16 steel-effects of plate orientation and some criteria

2021 ◽  
Vol 16 (59) ◽  
pp. 444-460
Author(s):  
Mounir Gaci ◽  
Fedaoui Kamel ◽  
Lazhar Baroura ◽  
Amar Talhi
Keyword(s):  
Grain Boundary ◽  
Shear Deformation ◽  
Numerical Study ◽  
Elastic Behavior ◽  
The Finite Element Method ◽  
Elastoplastic Behavior ◽  
Mechanical Coupling ◽  
First Case ◽  
Martensitic Plate ◽  
The Impact

This study aims to analyze the effect of thermo mechanical coupling damage in the presence of a phase change (austenite/martensite) in 35NCD16 steel. The impact of increasing mechanical traction load, accompanied by a martensitic transformation on the scale of a single grain with boundary has been studied. The prediction transformation of induced plasticity (TRIP) was evaluated by taking into account the following parameters: twenty shear directions of the martensitic plates, two values of the shear deformation of the martensitic plates, energetic and thermodynamics criteria for getting in order the transformation of the martensitic plates, elastoplastic behavior of the two areas in the first case (martensitic plate and grain boundary) and elastic behavior for the grain boundary in the second case. The numerical calculation is carried out using the finite element method (FEM), implemented in the Zebulon calculation code. The developed approach is validated using the available experimental results reported in the literature. The numerical results showed that the estimation of TRIP given by the energetics criteria with the values of the shear deformation (γ0 = 0.16) are closer to the experiment results.

scholarly journals Viscoelastic Material Properties of the Myocardium and Cardiac Jelly in the Looping Chick Heart

2012 ◽  
Vol 134 (2) ◽  
Author(s):  
Jiang Yao ◽  
Victor D. Varner ◽  
Lauren L. Brilli ◽  
Jonathan M. Young ◽  
Larry A. Taber ◽  
...  
Keyword(s):  
Viscoelastic Material ◽  
Material Properties ◽  
Constitutive Relations ◽  
Computational Method ◽  
Heart Tube ◽  
Embryonic Tissues ◽  
Strain Energy Density Function ◽  
Modeling Techniques ◽  
Chick Heart ◽  
Intact Heart

Accurate material properties of developing embryonic tissues are a crucial factor in studies of the mechanics of morphogenesis. In the present work, we characterize the viscoelastic material properties of the looping heart tube in the chick embryo through nonlinear finite element modeling and microindentation experiments. Both hysteresis and ramp-hold experiments were performed on the intact heart and isolated cardiac jelly (extracellular matrix). An inverse computational method was used to determine the constitutive relations for the myocardium and cardiac jelly. With both layers assumed to be quasilinear viscoelastic, material coefficients for an Ogden type strain-energy density function combined with Prony series of two terms or less were determined by fitting numerical results from a simplified model of a heart segment to experimental data. The experimental and modeling techniques can be applied generally for determining viscoelastic material properties of embryonic tissues.

scholarly journals Modeling the Hydro-Mechanical Coupling Behavior of Unsaturated Geotechnical Materials Based on Non-Equilibrium Thermodynamic Theory

2020 ◽  
Vol 10 (16) ◽  
pp. 5668
Author(s):  
Guangchang Yang ◽  
Yang Liu ◽  
Peipei Chen
Keyword(s):  
Yield Criterion ◽  
Constitutive Relations ◽  
Thermodynamic Theory ◽  
Granular Temperature ◽  
Equilibrium Thermodynamic ◽  
Energy Functions ◽  
Mechanical Coupling ◽  
Coupling Behavior ◽  
The Relationship ◽  
Non Equilibrium

A new hydro-mechanical model for unsaturated geotechnical materials based on the non-equilibrium thermodynamic theory is presented in this paper. Common concepts, such as yield criterion and flow rules, are not involved in the constitutive relationships, and are replaced with the thermodynamic concepts of granular temperature, granular entropy, migration coefficients, and energy functions. The dissipation system and the migration coefficient relationships are theoretically determined, and the constitutive relations of non-elastic deformation and granular temperature are obtained by dissipation relations and thermodynamic identity. Thus, the relationship between dissipation mechanism and macro mechanical behavior can be established by migration coefficients and energy functions. The model can reflect the complex hydro-mechanical coupling behavior of unsaturated geotechnical materials subjected to various mechanical paths. The validity of the model is verified by comparing the modeling results with experimental data, and reasonable agreement is achieved.

Buckling Analysis of Orthotropic Nanoscale Plates Resting on Elastic Foundations

2018 ◽  
Vol 55 ◽  
pp. 42-56 ◽  
Author(s):  
Belkacem Kadari ◽  
Aicha Bessaim ◽  
Abdelouahed Tounsi ◽  
Houari Heireche ◽  
Abdelmoumen Anis Bousahla ◽  
...  
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Scale Effects ◽  
Plate Theory ◽  
Constitutive Relations ◽  
Shear Deformation Theory ◽  
Nonlocal Elasticity Theory ◽  
Higher Order ◽  
Small Scale ◽  
Classical Plate Theory

This work presents the buckling investigation of embedded orthotropic nanoplates by using a new hyperbolic plate theory and nonlocal small-scale effects. The main advantage of this theory is that, in addition to including the shear deformation effect, the displacement field is modeled with only three unknowns and three governing equation as the case of the classical plate theory (CPT) and which is even less than the first order shear deformation theory (FSDT) and higher-order shear deformation theory (HSDT). A shear correction factor is, therefore, not required. Nonlocal differential constitutive relations of Eringen is employed to investigate effects of small scale on buckling of the rectangular nanoplate. The elastic foundation is modeled as two-parameter Pasternak foundation. The equations of motion of the nonlocal theories are derived and solved via Navier's procedure for all edges simply supported boundary conditions. The proposed theory is compared with other plate theories. Analytical solutions for buckling loads are obtained for single-layered graphene sheets with isotropic and orthotropic properties. The results presented in this study may provide useful guidance for design of orthotropic graphene based nanodevices that make use of the buckling properties of orthotropic nanoplates. Verification studies show that the proposed theory is not only accurate and simple in solving the buckling nanoplates, but also comparable with the other higher-order shear deformation theories which contain more number of unknowns. Keywords: Buckling; orthotropic nanoplates; a simple 3-unknown theory; nonlocal elasticity theory; Pasternak’s foundations. * Corresponding author; [email protected]

scholarly journals Mechanisms and Influence of Casing Shear Deformation near the Casing Shoe, Based on MFC Surveys during Multistage Fracturing in Shale Gas Wells in Canada

Energies ◽  
2019 ◽  
Vol 12 (3) ◽  
pp. 372 ◽  
Author(s):  
Yan Xi ◽  
Jun Li ◽  
Gonghui Liu ◽  
Jianping Li ◽  
Jiwei Jiang
Keyword(s):  
Shear Deformation ◽  
Shale Gas ◽  
Coupling Effect ◽  
Poisson Ratio ◽  
Constitutive Relations ◽  
Prediction Method ◽  
Measurement Results ◽  
Inner Diameter ◽  
Cement Sheath ◽  
Slip Distance

Casing shear deformation has become a serious problem in the development of shale gas fields, which is believed to be related to fault slipping caused by multistage fracturing, and the evaluation of the reduction of a casing’s inner diameter is key. Although many fault slipping models have been published, most of them have not taken the fluid-solid-heat coupling effect into account, and none of the models could be used to calculate the reduction of a casing’s inner diameter. In this paper, a new 3D finite element model was developed to simulate the progress of fault slipping, taking the fluid-solid-heat coupling effect during fracturing into account. For the purpose of increasing calculation accuracy, the elastoplastic constitutive relations of materials were considered, and the solid-shell elements technique was used. The reduction of the casing’s inner diameter along the axis was calculated and the calculation results were compared with the measurement results of multi-finger caliper (MFC) surveys. A sensitivity analysis was conducted, and the influences of slip distance, casing internal pressure, thickness of production and intermediate casing, and the mechanical parameters of cement sheath on the reduction of a casing’s inner diameter in the deformed segment were analyzed. The numerical analysis results showed that decreasing the slip distance, maintaining high pressure, decreasing the Poisson ratio of cement sheath, and increasing casing thickness were beneficial to protect the integrity of the casing. The numerical simulation results were verified by comparison to the shape of MFC measurement results, and had an accuracy up to 90.17%. Results from this study are expected to provide a better understanding of casing shear deformation, and a prediction method of a casing’s inner diameter after fault slipping in multistage fracturing wells.

Dynamic Viscoelastic Incremental-Layerwise Finite Element Method for Multilayered Structure Analysis Based on the Relaxation Approach

2014 ◽  
Vol 30 (6) ◽  
pp. 593-602 ◽  
Author(s):  
M. Malakouti ◽  
M. Ameri ◽  
P. Malekzadeh
Keyword(s):  
Finite Element ◽  
Viscoelastic Material ◽  
Constitutive Relations ◽  
Computer Code ◽  
Multilayered Structure ◽  
Numerical Results ◽  
Material Behavior ◽  
Element Formulation ◽  
Element Analysis ◽  
Laminated Structures

AbstractThis paper presents an axisymmetric layerwise finite element formulation for dynamic analysis of laminated structures with embedded viscoelastic material whose constitutive behavior is represented by the Prony-generalized Maxwell series. To account the time dependence of the constitutive relations of linear viscoelastic materials, the incremental formulation in the temporal domain is used. Layerwise finite element has been shown to provide an efficient and accurate tool for the simulation of laminated structure. Most of the previous work on numerical simulation of laminated structures has been limited to elastic material behavior. Thus, the current work focuses on layerwise finite element analysis of laminated structures with embedded viscoelastic material. A computer code based on the presented formulation has been developed to provide the numerical results. The present approach is verified by studying its convergence behavior and comparing the numerical results with those obtained using the ABAQUS software. Finally, and as an application of the presented formulation, the effects of load duration on the dynamic structural responses of multilayered pavements are studied.

Shear Constitutive Relations for Laminated Anisotropic Shells and Plates: Part II—Vibrations of Composite Cylinders

1992 ◽  
Vol 59 (2) ◽  
pp. 380-389 ◽  
Author(s):  
C. K. Chun ◽  
S. B. Dong
Keyword(s):  
Shear Deformation ◽  
Classical Theory ◽  
Deformation Theory ◽  
Constitutive Relations ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Anisotropic Plates ◽  
First Order ◽  
Anisotropic Structures ◽  
Plates And Shells

In Part I of this paper, a system of shear constitutive relations was proposed for a first-order shear deformation theory of laminated anisotropic plates and shells. For laminated anisotropic structures, these shear constitutive equations involved the concept of generalized shear planes. Herein, an extensive parametric study is presented to assess the modeling capability of these shear constitutive relations in a class of laminated composite and sandwich cylinders. Classical theory results are also given in order to fully understand the influence of anisotropy on the accuracy and ranges of validity of both first-order shear deformation theory and classical theory. It is seen that the proposed system of shear constitutive relations provides highly accurate frequency results over the range of anisotropy considered.

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