Stationary Temperature and Stress Fields in an Anisotropic Elastic Slab

1975 ◽  
Vol 42 (3) ◽  
pp. 647-650 ◽  
Author(s):  
T. R. Tauchert ◽  
A. Y. Ako¨z
Keyword(s):  
Elastic Anisotropy ◽  
Plane Deformation ◽  
Stress Fields ◽  
Stress Distributions ◽  
Uniform Temperature ◽  
General Representation ◽  
Thermal Boundary Conditions ◽  
Temperature Heat ◽  
Anisotropic Elastic ◽  
Elastic Slab

The stationary temperature, displacement, and stress distributions in an anisotropic elastic slab undergoing generalized plane deformation are examined. A general representation for the thermal boundary conditions is used, which permits specification of surface temperature, heat input, thermal insulation, or convection at each boundary of the slab. The solution is valid for traction-free slabs having thermal and elastic anisotropy of the most general form. As an illustrative example, the temperature and stresses due to a uniform temperature rise over a portion of the boundary of a slab are computed.

Thermoelastic Analysis of a Finite Orthotropic Slab

1978 ◽  
Vol 20 (2) ◽  
pp. 65-71 ◽  
Author(s):  
A. Y. Aköz ◽  
T. R. Tauchert
Keyword(s):  
Thermal Stresses ◽  
Initial Temperature ◽  
Temperature Fields ◽  
Two Dimensional ◽  
Stress Distributions ◽  
Uniform Temperature ◽  
Reinforced Composite ◽  
Temperature Heat ◽  
Displacement Potentials ◽  
Reinforced Composite Material

Stationary two-dimensional temperature and stress distributions are examined for an orthotropic elastic body having a rectangular boundary. Temperature fields are determined for situations in which one edge of the rectangle experiences an arbitrary variation of temperature, heat flow or convection, while each of the remaining edges is either insulated or maintained at the initial temperature. Displacement potentials are then used to find the thermal stresses for those cases in which the temperature remains constant over two opposite ends of the rectangle. As an illustrative example, the temperature and stresses resulting from a uniform temperature rise over a portion of one edge of the rectangle are computed; numerical results are given for a fibre-reinforced composite material.

scholarly journals Photogrammetric Process to Monitor Stress Fields Inside Structural Systems

Sensors ◽  
2021 ◽  
Vol 21 (12) ◽  
pp. 4023
Author(s):  
Leonardo M. Honório ◽  
Milena F. Pinto ◽  
Maicon J. Hillesheim ◽  
Francisco C. de Araújo ◽  
Alexandre B. Santos ◽  
...  
Keyword(s):  
Boundary Element ◽  
Real Time ◽  
Stress Fields ◽  
Structural Systems ◽  
Unknown Boundary ◽  
Stress Distributions ◽  
Displacement Fields ◽  
Time Stress ◽  
Beam Surface ◽  
Measured Displacement

This research employs displacement fields photogrammetrically captured on the surface of a solid or structure to estimate real-time stress distributions it undergoes during a given loading period. The displacement fields are determined based on a series of images taken from the solid surface while it experiences deformation. Image displacements are used to estimate the deformations in the plane of the beam surface, and Poisson’s Method is subsequently applied to reconstruct these surfaces, at a given time, by extracting triangular meshes from the corresponding points clouds. With the aid of the measured displacement fields, the Boundary Element Method (BEM) is considered to evaluate stress values throughout the solid. Herein, the unknown boundary forces must be additionally calculated. As the photogrammetrically reconstructed deformed surfaces may be defined by several million points, the boundary displacement values of boundary-element models having a convenient number of nodes are determined based on an optimized displacement surface that best fits the real measured data. The results showed the effectiveness and potential application of the proposed methodology in several tasks to determine real-time stress distributions in structures.

Three-Dimensional Green’s Functions in Anisotropic Elastic Bimaterials With Imperfect Interfaces

2003 ◽  
Vol 70 (2) ◽  
pp. 180-190 ◽  
Author(s):  
E. Pan
Keyword(s):  
Green's Functions ◽  
Green’S Functions ◽  
Three Dimensional ◽  
Imperfect Interface ◽  
Boundary Integral ◽  
Stress Fields ◽  
Superposition Method ◽  
Interface Conditions ◽  
Complementary Part ◽  
Anisotropic Elastic

In this paper, three-dimensional Green’s functions in anisotropic elastic bimaterials with imperfect interface conditions are derived based on the extended Stroh formalism and the Mindlin’s superposition method. Four different interface models are considered: perfect-bond, smooth-bond, dislocation-like, and force-like. While the first one is for a perfect interface, other three models are for imperfect ones. By introducing certain modified eigenmatrices, it is shown that the bimaterial Green’s functions for the three imperfect interface conditions have mathematically similar concise expressions as those for the perfect-bond interface. That is, the physical-domain bimaterial Green’s functions can be obtained as a sum of a homogeneous full-space Green’s function in an explicit form and a complementary part in terms of simple line-integrals over [0,π] suitable for standard numerical integration. Furthermore, the corresponding two-dimensional bimaterial Green’s functions have been also derived analytically for the three imperfect interface conditions. Based on the bimaterial Green’s functions, the effects of different interface conditions on the displacement and stress fields are discussed. It is shown that only the complementary part of the solution contributes to the difference of the displacement and stress fields due to different interface conditions. Numerical examples are given for the Green’s functions in the bimaterials made of two anisotropic half-spaces. It is observed that different interface conditions can produce substantially different results for some Green’s stress components in the vicinity of the interface, which should be of great interest to the design of interface. Finally, we remark that these bimaterial Green’s functions can be implemented into the boundary integral formulation for the analysis of layered structures where imperfect bond may exist.

Stress Analysis and Life Estimation of Drawing Die with Bi-Materials

2010 ◽  
Vol 156-157 ◽  
pp. 1415-1420
Author(s):  
Zhong Zheng ◽  
Hai Ou Zhang ◽  
Gui Lan Wang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stress Fields ◽  
Drawing Process ◽  
Stress Distributions ◽  
Life Estimation ◽  
Drawing Die ◽  
Die Material ◽  
The Cost ◽  
Realistic Significance

In this article, a drawing die is researched in order to obtain the dynamic load and stress distributions and determine the potential fatigue location in it. The stress fields of the drawing die in the drawing process and their changing rules were studied through finite element method. The dynamic simulation of stress changing state has been realized, and the potential fatigue locations in the die were also determined. Based on the conclusion, the cavity die was divided into the substrate part and the wear-resistant part according to the stress distribution. Fatigue life estimations were made on the homogeneous die and the die with bi-materials. The example showed that bi-materials design can increase the service life while greatly reduces the cost of die material. The conclusions drawn conform to reality and have realistic significance.

scholarly journals Numerical simulation of porous media combustion for high temperature heat exchanger

2018 ◽  
Vol 192 ◽  
pp. 02016
Author(s):  
Panu Iamsakulpanich ◽  
Kittipass Wasinarom ◽  
Thanathon Sesuk ◽  
Jarruwat Charoensuk ◽  
Katsunori Hanamura ◽  
...  
Keyword(s):  
Porous Media ◽  
Temperature Distribution ◽  
Uniform Temperature ◽  
Reaction Equation ◽  
Temperature Heat ◽  
1D Model ◽  
Burner Design ◽  
Porous Media Combustion ◽  
Porous Media Burner

The purpose of this work is developing the numerical 1D model of porous media combustion for investigating porous media burner systems. The software is used to solve energy, mass transfer and chemical reaction equation of the combustion. The operating condition and property parameters, which mainly affect the functions and quality of the industrial burner design, such as the inlet velocity of the reactants, the equivalence ratio, the extinction coefficient and the thermal conductivity of porous media, will be investigated and validated with experimental data. For developing the procedure of experiment, three diameter sizes of porous media materials (5 mm, 10 mm, and 15 mm.) were used. As a result, the developed model will be used as a tool to explore temperature distribution of heat exchange to improve thermal performance and overall efficiency system. Moreover, this knowledge can be applied to design porous media burner systems for uniform temperature distribution operation.

Deformation of an anisotropic elastic slab containing a crack

1979 ◽  
Vol 32 (1-3) ◽  
pp. 55-61 ◽  
Author(s):  
D. L. Clements ◽  
T. R. Tauchert
Keyword(s):  
Anisotropic Elastic ◽  
Elastic Slab

Free Vibration of Elliptical Plates in Uniform Temperature Field

2005 ◽  
Author(s):  
Xiaohu Yao ◽  
Qiang Han ◽  
Liming Dai
Keyword(s):  
Temperature Field ◽  
Differential Equations ◽  
Free Vibration ◽  
Nonlinear Differential Equations ◽  
Stress Fields ◽  
Elastic Coupling ◽  
Uniform Temperature ◽  
Elliptical Plate ◽  
Uniform Temperature Field ◽  
Fundamental Equations

The free vibration of clamped elliptical plate, when temperature and stress fields are coupled, is analyzed based on the fundamental equations of nonlinear thermo-elastic vibrations. A system of nonlinear differential equations of time is obtained with utilization of Galerkin’s method. The vibration states are compared with respect to different coefficients. The effects of thermo-elastic coupling on the amplitude and frequency are also presented.

scholarly journals Relationships between elastic anisotropy and thermal expansion in A2Mo3O12materials

2016 ◽  
Vol 18 (44) ◽  
pp. 30652-30661 ◽  
Author(s):  
Carl P. Romao ◽  
S. P. Donegan ◽  
J. W. Zwanziger ◽  
Mary Anne White
Keyword(s):  
Thermal Expansion ◽  
Thermal Stress ◽  
Elastic Anisotropy ◽  
Stress Distributions ◽  
Grüneisen Parameters ◽  
Expansion Range ◽  
Gruneisen Parameters

We report calculated elastic tensors, axial Grüneisen parameters, and thermal stress distributions in Al2Mo3O12, ZrMgMo3O12, Sc2Mo3O12, and Y2Mo3O12, a series of isomorphic materials for which the coefficients of thermal expansion range from low-positive to negative.

Analysis of the off-corner subsurface cracks of continuous casting blooms under the influence of soft reduction and controllable approaches by a chamfer technology

2019 ◽  
Vol 116 (3) ◽  
pp. 310 ◽  
Author(s):  
Nanfu Zong ◽  
Hui Zhang ◽  
Yang Liu ◽  
Zhifang Lu
Keyword(s):  
Continuous Casting ◽  
Cross Section ◽  
Mechanical Model ◽  
Stress Fields ◽  
Temperature History ◽  
Stress Distributions ◽  
Soft Reduction ◽  
Reduction Operation ◽  
Subsurface Cracks ◽  
Reduction Region

In the current study, the morphology of the off-corner subsurface cracks located on the cross section of continuous casting bloom under a soft reduction operation was observed. A 3D thermo-mechanical model was adopted to calculate the temperature history, bulging deformation and stress distributions in the reduction region, and then to analyze the formation of the off-corner subsurface cracks under the influence of soft reduction. The results showed that the off-corner subsurface cracks can be formed under the influence of the extensive stress fields which develop in the cracking temperature range, especially located on the loosed side of the bloom corner region. Adjusting the chamfer angle and chamfer length can decrease stress concentration and bulging deformation to minimize the risk of off-corner subsurface cracks during the soft reduction operation.

scholarly journals Atomistically enabled nonsingular anisotropic elastic representation of near-core dislocation stress fields inα-iron

2015 ◽  
Vol 91 (18) ◽  
Author(s):  
Dariush Seif ◽  
Giacomo Po ◽  
Matous Mrovec ◽  
Markus Lazar ◽  
Christian Elsässer ◽  
...  
Keyword(s):  
Stress Fields ◽  
Dislocation Stress ◽  
Anisotropic Elastic ◽  
Core Dislocation
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