Thermoelastic Problems for the Anisotropic Elastic Half-Plane

2004 ◽  
Vol 126 (3) ◽  
pp. 459-465 ◽  
Author(s):  
Yuan Lin ◽  
Timothy C. Ovaert
Keyword(s):  
Half Plane ◽  
Hilbert Problem ◽  
Thermoelastic Problem ◽  
Two Dimensional ◽  
Transfer Condition ◽  
Isotropic Media ◽  
Anisotropic Elastic ◽  
Steady State Heat ◽  
Steady State Heat Transfer ◽  
Thermoelastic Problems

By applying the extended version of Stroh’s formalism, the two-dimensional thermoelastic problem for a semi-infinite anisotropic elastic half-plane is formulated. The steady-state heat transfer condition is assumed and the technique of analytical continuation is employed; the formulation leads to the Hilbert problem, which can be solved in closed form. The general solutions due to different kinds of thermal and mechanical boundary conditions are obtained. The results show that unlike the two-dimensional thermoelastic problem for an isotropic media, where a simply-connected elastic body in a state of plane strain or plane stress remains stress free if the temperature distribution is harmonic and the boundaries are free of traction, the stress within the semi-infinite anisotropic media will generally not equal zero even if the boundary is free of traction.

A Two-Dimensional Thermoelastic Rough Surface Contact Model

2004 ◽  
Vol 126 (3) ◽  
pp. 430-435 ◽  
Author(s):  
Yuan Lin ◽  
Timothy C. Ovaert
Keyword(s):  
Rough Surface ◽  
Thermal Deformation ◽  
Frictional Heating ◽  
Asperity Contact ◽  
Two Dimensional ◽  
Elastic Deformations ◽  
Steady State Heat ◽  
Steady State Heat Transfer ◽  
Thermal Influence ◽  
Rough Surface Contact

By taking into account steady-state heat transfer, and surface distortion due to thermal and elastic deformations, a two-dimensional thermoelastic model is developed for rough surface asperity contact, where the thermal influence function connecting the thermal deformation and the contact pressure is derived based on the Dundurs’ theorem. The model has been shown to be accurate at low as well as high frictional heating conditions by comparison with published results. As an application of this model, the contact problem of a cylinder on a random rough surface is studied in detail.

Two-Phase Potentials for the Treatment of an Elastic Inclusion in Plane Thermoelasticity

1995 ◽  
Vol 62 (1) ◽  
pp. 7-12 ◽  
Author(s):  
M. A. Kattis ◽  
S. A. Meguid
Keyword(s):  
Heat Conduction ◽  
Heat Conduction Problem ◽  
Elastic Inclusion ◽  
Thermomechanical Properties ◽  
Two Dimensional ◽  
Elliptic Inclusion ◽  
Two Phase ◽  
Curvilinear Inclusion ◽  
Steady State Heat ◽  
Thermoelastic Problems

A solution to the uncoupled two-dimensional steady-state heat conduction and thermoelastic problems of an elastic curvilinear inclusion embedded in an elastic matrix, with different thermomechanical properties, is provided. The proposed analysis describes the heat conduction problem in terms of one holomorphic complex potential and the thermoelastic problem in terms of two holomorphic potentials; known hereafter as two-phase potentials. The general results of the developed analysis are applied to specific examples and explicit forms of the solution are obtained. It is shown that a uniform heat flow at infinity induces a linear stress distribution within the elliptic inclusion.

Steady-State Conduction With Variable Thermal Conductivity

1962 ◽  
Vol 84 (1) ◽  
pp. 92-93 ◽  
Author(s):  
Robert K. McMordie
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Steady State ◽  
Variable Thermal Conductivity ◽  
Two Dimensional ◽  
The Real ◽  
State Heat ◽  
Steady State Heat ◽  
Steady State Heat Transfer ◽  
Transfer Problems

A method is developed for solving two-dimensional, steady-state heat-transfer problems with thermal conductivity dependent on temperature. The quantity ∫ KdT is employed in the analysis and although this quantity has been known for some time,2, 3 it seems that the real usefulness of this quantity in analysis has not been, in general, recognized.

scholarly journals An isogeometric analysis approach for twodimensional steady state heat transfer problems

2015 ◽  
Vol 18 (2) ◽  
pp. 164-174
Author(s):  
Em Tuan Le ◽  
Khuong Duy Nguyen ◽  
Hoa Cong Vu
Keyword(s):  
Heat Transfer ◽  
Steady State ◽  
Isogeometric Analysis ◽  
Basis Functions ◽  
High Rate ◽  
Two Dimensional ◽  
State Heat ◽  
Steady State Heat ◽  
Steady State Heat Transfer ◽  
Transfer Problems

The purpose of this article is studied the application of isogeometric analysis (IGA) to two-dimensional steady state heat transfer problems in a heat sink. By using high order basis functions, NURBS basis functions, IGA is a high rate convergence approach in comparison to a traditional Finite Element Method. Moreover, the development of this method decreased the gaps between CAD and mathematical model and increased the continuity of mesh.

Interactions Between Dislocations and Anisotropic Elastic Elliptical Inclusions

1994 ◽  
Vol 61 (3) ◽  
pp. 548-554 ◽  
Author(s):  
Wen J. Yen ◽  
Chyanbin Hwu
Keyword(s):  
Anisotropic Media ◽  
Analytical Continuation ◽  
Two Dimensional ◽  
Closed Form Solutions ◽  
Special Cases ◽  
General Field ◽  
Isotropic Media ◽  
In Series ◽  
Elastic Inclusions ◽  
Anisotropic Elastic

A general field solution for the stresses and displacements of the interactions between dislocations and inclusions has been derived in this paper by applying the Stroh’s formalism and the Muskhelishvili’s method of analytical continuation. The solutions are valid for general elastic anisotropic media under two-dimensional deformation. The interaction energy between dislocations and elastic inclusions is obtained explicitly. The solutions in general are expressed in series form for elastic inclusions. However, for the special cases when the elastic inclusions are replaced by a hole or rigid inclusion, simple closed-form solutions are derived. The general solutions are verified by considering the isotropic media since it is the only solution available in the literature. For the general anisotropic media, a series of contour diagrams for the glide component of the force on a dislocation are provided in this paper to study the effects of inclusion hardness, shape, and matrix anisotropy.

Discussion on the conformal mapping of a half-plane onto a unit disk in anisotropic elasticity and related applications

2020 ◽  
Vol 26 (1) ◽  
pp. 110-117
Author(s):  
Ming Dai ◽  
Jian Hua
Keyword(s):  
Thin Films ◽  
Conformal Mapping ◽  
Unit Disk ◽  
Half Plane ◽  
Complex Variable ◽  
Plane Deformation ◽  
Anisotropic Elasticity ◽  
Two Dimensional ◽  
Plane Shear ◽  
Anisotropic Elastic

The conformal mapping, which transforms a half-plane into a unit disk, has been used widely in studies involving an isotropic elastic half-plane under anti-plane shear or plane deformation. However, very little attention has been paid to the possibility of utilizing this mapping in the study of an anisotropic elastic half-plane under the same deformation. In this paper, we discuss a general case of an arbitrarily located anisotropic elastic half-plane that corresponds to several affine counterparts (resulting from corresponding complex variable formalism). We show that this mapping is indeed applicable to each of the affine half-planes if and only if the key parameters in the mapping satisfy simple geometrical conditions. In addition, we introduce the application of this mapping with the corresponding geometrical conditions to the related study of anisotropic thin films under two-dimensional deformation.

Heat Transfer in Rotary Combustion Engines

1975 ◽  
Vol 97 (2) ◽  
pp. 288-293 ◽  
Author(s):  
K. M. Atesmen
Keyword(s):  
Heat Transfer ◽  
Cooling System ◽  
Heat Transfer Model ◽  
Forced Flow ◽  
Transfer Model ◽  
Combustion Engines ◽  
Quasi Steady State ◽  
Two Dimensional ◽  
Steady State Heat ◽  
Steady State Heat Transfer

In the first part of this study, a one-dimensional quasi-steady-state heat transfer model is developed for an axial forced flow system in rotary combustion engines. This computer model is useful in optimizing the cooling system in accordance with the heat input from the combustion chambers. In the second part of this study, a two-dimensional quasi-steady-state heat transfer model is developed for an axial forced flow cooling system in a rotor housing in an effort to minimize the thermal stresses and the thermal distortions of the trochoidal surfaces. In the third part of this study, a two-dimensional transient heat transfer model is developed for an axial forced flow cooling system in a critical portion of the rotor housing in order to determine the critical thermal loads that occur in the through-bolts during the sudden acceleration of a cold rotating combustion engine.

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