scholarly journals 2D Quasi-Static Accurate Solutions for Isotropic Thermoelastic Materials with Applications

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Wen-Ying Xiao ◽  
Jie Tong ◽  
Ying-Jie Liu ◽  
Jiang Su ◽  
Jian-Ping Li
Keyword(s):  
Thermal Stress ◽  
General Solution ◽  
Stress Field ◽  
Heat Source ◽  
Infinite Plane ◽  
Two Dimensional ◽  
Boundary Problems ◽  
Arbitrary Boundary ◽  
Thermally Induced ◽  
Simple Potential

Thermally induced stress is an important scientific problem in engineering applications. In this paper, an accurate and efficient method for the two-dimensional quasi-static thermal elastic problem is established to explore the thermal stress problem. First, the compact quasi-static two-dimensional general solution is derived in terms of simple potential functions. The general solution is simple in form and can be derived for arbitrary boundary problems subjected to a line heat load. This is completely new to the literature. Second, Green’s function solutions of an infinite plane under the line pulse heat source based on the general solutions are presented to analyze the thermal stress field. Lastly, numerical results are taken into account to study the temperature and stress field induced by the dynamic heat source load. The corresponding analysis can constitute to reveal the mechanism of thermal elastic problems and provide some guidance for experiments or engineering structural design in the future work.

Fundamental solution for a two-dimensional problem in transversely isotropic micropolar thermoelastic media

2017 ◽  
Vol 13 (3) ◽  
pp. 409-423 ◽  
Author(s):  
Vijay Chawla ◽  
Sanjeev Ahuja ◽  
Varsha Rani
Keyword(s):  
General Solution ◽  
Fundamental Solution ◽  
Heat Source ◽  
Harmonic Functions ◽  
Transversely Isotropic ◽  
Fundamental Solutions ◽  
Two Dimensional ◽  
Point Heat Source ◽  
Content Type ◽  
Thermoelastic Material

Purpose The purpose of this paper is to study the fundamental solution in transversely isotropic micropolar thermoelastic media. With this objective, the two-dimensional general solution in transversely isotropic thermoelastic media is derived. Design/methodology/approach On the basis of the general solution, the fundamental solution for a steady point heat source on the surface of a semi-infinite transversely isotropic micropolar thermoelastic material is constructed by six newly introduced harmonic functions. Findings The components of displacement, stress, temperature distribution and couple stress are expressed in terms of elementary functions. From the present investigation, a special case of interest is also deduced and compared with the previous results obtained. Practical implications Fundamental solutions can be used to construct many analytical solutions of practical problems when boundary conditions are imposed. They are essential in the boundary element method as well as the study of cracks, defects and inclusions. Originality/value Fundamental solutions for a steady point heat source acting on the surface of a micropolar thermoelastic material is obtained by seven newly introduced harmonic functions. From the present investigation, some special cases of interest are also deduced.

Quasi-static thermal stresses due to a concentrated moving heat source in a thin plate

2016 ◽  
Vol 22 (2) ◽  
pp. 243-256
Author(s):  
Amir Reza Shahani ◽  
Samad Kalani
Keyword(s):  
Thermal Stress ◽  
Stress Field ◽  
Heat Source ◽  
Thin Plate ◽  
Thermal Stresses ◽  
Static Solution ◽  
Stress Distributions ◽  
Moving Heat Source ◽  
Displacement Potential ◽  
Thermal Stress Field

Temperature and thermal stress distributions in a two-dimensional infinite thin plate subjected to a moving heat source with variable power and velocity are obtained by solving quasi-static thermoelasticity equations analytically with the aid of a thermoelastic displacement potential. The results show good agreement with experimental data for a stationary source with constant power and with a steady-state analytical solution in the open literature. It is shown that the quasi-static solution can predict changes of the thermal stress field during the movement of the heat source, and can give the effect of changes of power and velocity of the heat source on the thermal stress field during its movement.

Numerical Simulation on Stress Field in Inside-Beam Laser Cladding

2014 ◽  
Vol 887-888 ◽  
pp. 1309-1312
Author(s):  
Ming Di Wang ◽  
Xiao Ling Hang ◽  
Kai Bo Guo ◽  
Shi Hong Shi ◽  
Lin Ning Sun
Keyword(s):  
Temperature Field ◽  
Thermal Stress ◽  
Stress Field ◽  
Heat Source ◽  
High Energy ◽  
Field Change ◽  
Change Over Time ◽  
Thermal Stress Field ◽  
Advanced Analysis ◽  
Over Time

In the process of deposition, the moving high energy heat source effect on the metal entity, and form the molten pool and the temperature field of directional conduction. Powder is accumulated in the substrate point by point, molten powder instantly solidify into a solid which is combined with substrate (or sediment) to reach metallurgical combination, from the perspective of the thermodynamic, the temperature field produced by coupling ring of heat source is regarded as a moving load to the base plate and the sedimentary section, and transient thermal stress field is generated, the load and boundary conditions (temperature field) of thermal stress field change over time, at the same time, the solution domain of thermal stress field change over time as a result. Therefore, through the life and death unit technology (ANSYS finite element analysis software of advanced analysis techniques) combined with the circulation order, the simulation of point to add deposition process is realized.

scholarly journals General solution and fundamental solution for two-dimensional problem in orthotropic thermoelastic media with voids

2014 ◽  
Vol 41 (4) ◽  
pp. 247-265
Author(s):  
Rajneesh Kumar ◽  
Vijay Chawla
Keyword(s):  
General Solution ◽  
Fundamental Solution ◽  
Heat Source ◽  
Harmonic Functions ◽  
Two Dimensional ◽  
Dimensional Problem ◽  
Point Heat Source ◽  
Elementary Functions ◽  
Thermoelastic Material ◽  
Special Case

The aim of the present paper is to study the fundamental solution in orthotropic thermoelastic media with voids. With this objective, firstly the two-dimensional general solution in orthotropic thermoelastic media with voids is derived. On the basis of general solution, the fundamental solution for a steady point heat source on the surface of a semiinfinite orthotropic thermoelastic material with voids is constructed by six newly introduced harmonic functions. The temperature and voids distribution and components of displacement and stress are expressed in terms of elementary functions. From the present investigation, a special case of interest is also deduced and compared with the previous results obtained. Since all the components are expressed in terms of elementary functions, it is convenient to use them.

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