Thermal Stresses Induced into Two Plane Strain Sectors Having Different Material Properties

1977 ◽  
Vol 99 (1) ◽  
pp. 26-30
Author(s):  
I-Chih Wang ◽  
J. P. Eimermacher
Keyword(s):  
Temperature Distribution ◽  
Physical Properties ◽  
Plane Strain ◽  
Material Properties ◽  
Thermal Stresses ◽  
Structural Characteristics ◽  
Uniform Temperature ◽  
General Application ◽  
Numerical Examples ◽  
Stress Functions

Thermal stresses induced into two joined plane strain sectors having different physical properties and subjected to a uniform temperature distribution are investigated. Considering the elastic equations of equilibrium, compatibility, the stress-strain equations and appropriate boundary conditions, airy stress functions are formulated which describe the structural characteristics of the sectors. Stress and displacement relations are then obtained. Numerical examples are given illustrating the usage and general application of the derived expressions.

Design of Pressurized Cylinders for High-Temperature Applications

1960 ◽  
Vol 82 (2) ◽  
pp. 477-481
Author(s):  
J. F. Traexler
Keyword(s):  
Steady State ◽  
High Temperature ◽  
Creep Rate ◽  
Plane Strain ◽  
Material Properties ◽  
Rate Function ◽  
Specific Form ◽  
Steady State Creep ◽  
Numerical Examples ◽  
Walled Cylinder

General equations for the stresses in a thick-walled cylinder in a state of plane strain are derived considering “steady-state” creep. A specific form of the creep-rate function is assumed and numerical examples are included to show the effect of geometry and material properties.

scholarly journals A Study of Temperature Distribution and Thermal Stresses in a Hot Rock Due to Rapid Cooling

2020 ◽  
Vol 142 (4) ◽  
Author(s):  
Tran X. Phuoc ◽  
Mehrdad Massoudi ◽  
Ping Wang ◽  
Mark L. McKoy
Keyword(s):  
Heat Flux ◽  
Temperature Distribution ◽  
Thermal Stresses ◽  
Initial Temperature ◽  
Constant Heat Flux ◽  
Surface Heat ◽  
Uniform Temperature ◽  
Constant Heat ◽  
Thermoelastic Response ◽  
Unit Depth

Abstract Thermal stresses may be induced in a hot dry rock when a cold fluid is injected in the well. To study this problem, we look at the thermoelastic response of a hot rock that is suddenly cooled. The cooling is assumed to be either at a constant temperature or at a constant heat flux per unit depth. Our approach is to nondimensionalize the equations and perform a parametric study and look at the temperature distribution and the induced-thermal stresses. The results indicate that depending on the extent of cooling and the cooling time, thermal stresses can be induced. Numerical simulations on sandstone, with an initial uniform temperature of 473 K, are also carried out. The results show that if the cooling is due to the surface temperature maintained at 463 K (10 °C lower than the initial temperature of the hot rock), thermal stresses that are larger than the rock tensile strength could be induced. When the cooling is due to a constant surface heat flux, this temperature can be reached after about 777 days of cooling with a minimum value of a heat flux of −20 W/m.

scholarly journals Axial and radial thermal responses of energy pile under six storey residential building

2019 ◽  
Vol 56 (7) ◽  
pp. 1019-1033 ◽  
Author(s):  
Mohammed Faizal ◽  
Abdelmalek Bouazza ◽  
John S. McCartney ◽  
Chris Haberfield
Keyword(s):  
Temperature Distribution ◽  
Thermal Stresses ◽  
Residential Building ◽  
Uniform Temperature ◽  
Cross Sectional ◽  
Energy Pile ◽  
Unsaturated Sand ◽  
Thermal Stress Distribution ◽  
The Cross ◽  
Storey Building

The axial and radial thermal responses of a cast-in-place energy pile, 10 m long and 0.6 m in diameter, installed in unsaturated sand under a six storey building are examined during a heating–cooling cycle. The instrumentation in the pile was configured to compare radial and axial thermal responses at the same elevations and to evaluate the temperature and axial thermal stress distribution across the cross-sectional area of the pile. The magnitudes of the axial thermal strains were more constrained than the radial thermal strains at all depths, leading to the development of axial and radial thermal stresses of up to –4.5 and –0.015 MPa, respectively, for a change in average pile temperature of 24.1 °C. The magnitudes of the radial thermal stresses with changes in pile temperature were significantly lower than the axial thermal stresses at all depths of the pile, indicating that the radial thermal expansion had negligible effects on the development of axial thermal strains and stresses. The temperature distribution over the cross section of the pile showed low variations at all depths, indicating that it would be justified to consider a uniform temperature distribution at least in piles of similar dimensions and with even heat exchanger layouts.

Steady-state thermoelasticity for initially stressed bodies

1961 ◽  
Vol 253 (1034) ◽  
pp. 517-542 ◽  
Keyword(s):  
Steady State ◽  
Temperature Distribution ◽  
Large Deformation ◽  
Half Space ◽  
Stress And Strain ◽  
Uniform Temperature ◽  
Steady State Temperature ◽  
Penny Shaped Crack ◽  
Stress Functions ◽  
Shaped Crack

An elastic body, deformed from a state of zero stress and strain and uniform temperature by a large deformation and steady-state temperature distribution, is subsequently subjected to small displacements and steady-state temperature distributions. After a general analysis of the problem the work is specialized to the case when the initial large deformation is homogeneous at constant temperature. A general solution of the equations for the small superposed deformation and steady-state temperature distribution is obtained in terms of three stress functions valid for some regions of space including the half space and thick uniform plate, when two perpendicular extension ratios of the initial homogeneous deformation are equal. Applications are made to problems of a plane circular (penny-shaped) crack in an infinite medium and to half-space problems.

Thermal Analysis for Fiber-Reinforced Composites Containing Inhomogeneous Interphase Subjected to a Radial Constraint

2013 ◽  
Vol 652-654 ◽  
pp. 77-83
Author(s):  
Zhi Hua Ning ◽  
Xi Nan Liu
Keyword(s):  
Thermal Analysis ◽  
Material Properties ◽  
Radial Stress ◽  
Thermal Stresses ◽  
Fiber Reinforced Composites ◽  
Reinforced Composites ◽  
Linear Variation ◽  
Fiber Reinforced ◽  
Uniform Temperature ◽  
Generalized Plane Strain

This paper presents the thermal analysis on fiber-reinforced composites containing inhomogeneous interphase subjected to a uniform temperature change. Based on the assumption of generalized plane strain, the deformations and thermal stresses of the composites subjected to a radial constraint are obtained by using iterative technique. The material properties of the interphase are assumed to be linear variation along radial direction. The effects of different volume fractions of the interphase on the stresses in the composites subjected to applied radial stress/strain are investigated.

Stochastic Analysis of Temperature Distribution in a Solid With Random Heat Conductivity

1988 ◽  
Vol 110 (1) ◽  
pp. 23-29 ◽  
Author(s):  
Da Yu Tzou
Keyword(s):  
Thermal Conductivity ◽  
Temperature Distribution ◽  
Heat Conductivity ◽  
Stochastic Analysis ◽  
Solid Medium ◽  
Mean Value ◽  
Random Response ◽  
Thermal Failure ◽  
Numerical Examples ◽  
The Mean

Stochastic temperature distribution in a solid medium with random heat conductivity is investigated by the method of perturbation. The intrinsic randomness of the thermal conductivity k(x) is considered to be a distribution function with random amplitude in the solid, and several typical stochastic processes are considered in the numerical examples. The formulation used in the present analysis describes a situation that the statistical orders of the random response of the system are the same as those of the intrinsic random excitations, which is characteristic for the problem with extrinsic randomness. The maximum standard deviation of the temperature distribution from the mean value in the solid medium reveals the amount of unexpected energy experienced by the solid continuum, which should be carefully inspected in the thermal-failure design of structures with intrinsic randomness.

Strain-induced semimetal-to-semiconductor transition and indirect-to-direct band gap transition in monolayer 1T-TiS2

RSC Advances ◽  
2015 ◽  
Vol 5 (102) ◽  
pp. 83876-83879 ◽  
Author(s):  
Chengyong Xu ◽  
Paul A. Brown ◽  
Kevin L. Shuford
Keyword(s):  
Band Gap ◽  
Electronic Properties ◽  
Plane Strain ◽  
Material Properties ◽  
First Principles ◽  
Tensile Strain ◽  
First Principles Calculations ◽  
Direct Band Gap ◽  
Direct Band ◽  
Uniform Plane

We have investigated the effect of uniform plane strain on the electronic properties of monolayer 1T-TiS2using first-principles calculations. With the appropriate tensile strain, the material properties can be transformed from a semimetal to a direct band gap semiconductor.

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