Thermal Stresses in an Orthotropic Elastic Slab Due to Prescribed Surface Temperatures

1974 ◽  
Vol 41 (1) ◽  
pp. 222-228 ◽  
Author(s):  
T. R. Tauchert ◽  
A. Y. Ako¨z

The stresses in an orthotropic, elastic slab resulting from a stationary, two-dimensional temperature field are examined. A general method of solution based upon displacement potentials is presented for the case of prescribed surface temperatures. Both the plane-strain and plane-stress problems are discussed. As an illustrative example, the stresses resulting from a uniform temperature rise over a portion of one face of the slab are computed; numerical results are given for a fiber-reinforced composite material.

1978 ◽  
Vol 20 (2) ◽  
pp. 65-71 ◽  
Author(s):  
A. Y. Aköz ◽  
T. R. Tauchert

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.


1972 ◽  
Vol 39 (1) ◽  
pp. 87-90 ◽  
Author(s):  
A. Y. Ako¨z ◽  
T. R. Tauchert

The thermal stresses in an orthotropic semi-infinite elastic solid subject to plane strain are investigated. A general method of solution based upon displacement potentials is presented for the case of a steady-state temperature field. Results are presented for both stress-free and zero-displacement boundary conditions. The stresses are written in terms of Green’s functions, where the Green’s functions represent stresses induced by a line source of temperature on the bounding plane.


1995 ◽  
Vol 117 (1) ◽  
pp. 59-65 ◽  
Author(s):  
H. S. Zibdeh ◽  
J. M. Al Farran

A solution is presented for the stresses and displacements in an orthotropic, hollow, circular cylinder subjected to asymmetric temperature distribution at the outer surface and heat convection into a medium at zero reference temperature at the inner surface. Assuming temperature-independent material properties, the heat conduction equation in cylindrical coordinates is solved for a single and multilayer cylinders. Results of temperature analysis along with linear elasticity theory are used to obtain the required thermal stresses and displacements. Numerical results are given for a typical fiber-reinforced composite material where fibers in each layer are oriented axially or circumferentially. The results show that the response of the cylinder is sensitive to changes in thickness, orientation of fibers in each layer, number of layers, and stacking sequence.


2020 ◽  
Vol 2020 (14) ◽  
pp. 305-1-305-6
Author(s):  
Tianyu Li ◽  
Camilo G. Aguilar ◽  
Ronald F. Agyei ◽  
Imad A. Hanhan ◽  
Michael D. Sangid ◽  
...  

In this paper, we extend our previous 2D connected-tube marked point process (MPP) model to a 3D connected-tube MPP model for fiber detection. In the 3D case, a tube is represented by a cylinder model with two spherical areas at its ends. The spherical area is used to define connection priors that encourage connection of tubes that belong to the same fiber. Since each long fiber can be fitted by a series of connected short tubes, the proposed model is capable of detecting curved long tubes. We present experimental results on fiber-reinforced composite material images to show the performance of our method.


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