Thermal Stresses in a Multilayered Anisotropic Medium

1991 ◽  
Vol 58 (4) ◽  
pp. 1021-1027 ◽  
Author(s):  
Surot Thangjitham ◽  
Hyung Jip Choi
Keyword(s):  
Anisotropic Medium ◽  
Thermal Stresses ◽  
Layered Medium ◽  
Complete Solution ◽  
Plane Deformation ◽  
Transversely Isotropic ◽  
Thermoelasticity Problem ◽  
Numerical Illustration ◽  
Anisotropic Slab ◽  
The Fourier Transform

A steady-state thermoelasticity problem of a multilayered anisotropic medium under the state of generalized plane deformation is considered in this paper. By utilizing the Fourier transform technique, the general solutions of thermoelasticity for layers with transversely isotropic, orthotropic, and monoclinic properties are derived. The complete solution of the entire layered medium is then obtained through introducing the thermal and mechanical boundary and layer interface conditions. This is accomplished via the flexibility/stiffness matrix method. As a numerical illustration, the distributions of temperature and thermal stresses in a laminated anisotropic slab subjected to a uniform surface temperature rise are presented for various stacking sequences of fiber-reinforced layers.

Transient Thermal Stresses in a Multilayered Anisotropic Medium

1995 ◽  
Vol 62 (4) ◽  
pp. 1067-1069 ◽  
Author(s):  
Tei-Chen Chen ◽  
Horng-I Jang ◽  
Ampere A. Tseng
Keyword(s):  
Anisotropic Medium ◽  
Thermal Stresses ◽  
Layered Medium ◽  
Complete Solution ◽  
Plane Deformation ◽  
Thermoelasticity Problem ◽  
Numerical Illustration ◽  
Anisotropic Slab ◽  
Transient Thermal ◽  
Transform Domains

A transient thermoelasticity problem of a multilayered anisotropic medium under the state of generalized plane deformation is considered in this note. The flexibility/stiffness matrix method is adopted here to obtain the complete solution of the entire layered medium by introducing the thermal and mechanical boundary and layer interface conditions in the Fourier and Laplace transform domains. As a numerical illustration, the distributions of transient temperatures and thermal stresses in a laminated anisotropic slab subjected to a uniform surface temperature rise are presented for some stacking sequences of fiber-reinforced layers.

Thermal Stresses in a Multilayered Anisotropic Medium With Interface Thermal Resistance

1995 ◽  
Vol 62 (3) ◽  
pp. 810-811 ◽  
Author(s):  
T. C. Chen ◽  
H. I. Jang
Keyword(s):  
Thermal Resistance ◽  
Anisotropic Medium ◽  
Thermal Stresses ◽  
Complete Solution ◽  
Thermal Contact ◽  
Plane Deformation ◽  
Numerical Illustration ◽  
Contact Conditions ◽  
Interface Thermal Resistance ◽  
Anisotropic Slab

This note is concerned with thermoelastic analysis of a multilayered anisotropic medium under the state of generalized plane deformation with interlayer thermal contact resistance. The powerful flexibility/stiffness matrix method is adopted here to obtain the complete solution of the entire layered medium by introducing the thermal and mechanical boundary and layer interface conditions including interlayer imperfect thermal contact conditions. As a numerical illustration, the effects of interlayer thermal resistance on the distributions of temperatures and thermal stresses in a laminated anisotropic slab subjected to a uniform surface temperature rise are presented.

scholarly journals AN ANTICRACK IN A TRANSVERSELY ISOTROPIC SPACE

2013 ◽  
Vol 7 (3) ◽  
pp. 140-147
Author(s):  
Andrzej Kaczyński
Keyword(s):  
Complete Solution ◽  
Elastic Solid ◽  
Transversely Isotropic ◽  
Point Of View ◽  
Newtonian Potential ◽  
Stress Jump ◽  
Elastic Symmetry ◽  
Governing System ◽  
The Fourier Transform ◽  
General Method

Abstract An absolutely rigid inclusion (anticrack) embedded in an unbound transversely isotropic elastic solid with the axis of elastic symmetry normal to the inclusion plane is considered. A general method of solving the anticrack problem is presented. Effective results have been achieved by constructing the appropriate harmonic potentials. With the use of the Fourier transform technique, the governing system of two-dimensional equations of Newtonian potential type for the stress jump functions on the opposite surfaces of the inclusion is obtained. For illustration, a complete solution to the problem of a penny-shaped anticrack under perpendicular tension at infinity is given and discussed from the point of view of material failure.

Nonlinear Time-Dependent Thermoelastic Response in a Multilayered Anisotropic Medium

2002 ◽  
Vol 69 (4) ◽  
pp. 556-563
Author(s):  
T.-C. Chen ◽  
S.-J. Hwang ◽  
C.-Q. Chen
Keyword(s):  
Anisotropic Medium ◽  
Material Properties ◽  
Thermal Stresses ◽  
Plane Deformation ◽  
Time Dependent ◽  
Temperature Dependent ◽  
Kirchhoff Transformation ◽  
The Laplace Transform ◽  
Thermoelastic Response ◽  
Transform Domains

A time-dependent nonlinear thermoelastic problem of a multilayered anisotropic medium with a certain specific form of temperature-dependent material properties in generalized plane deformation is analyzed by flexibility/stiffness matrix technique in the article. The closed-form general solutions of temperature, displacements, and stresses can then be obtained in the Fourier and the Laplace transform domains by using the technique of Kirchhoff transformation. The effects of temperature-dependent material properties on the distributions of temperature and thermal stresses are also calculated and discussed.

scholarly journals Anisotropic dielectric susceptibility matrix of anisotropic medium

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Wanrong Gao
Keyword(s):  
Light Scattering ◽  
Anisotropic Medium ◽  
Polarized Light ◽  
Scattering Matrix ◽  
Dielectric Susceptibility ◽  
Anisotropic Dielectric ◽  
New Methods ◽  
Mueller Matrices ◽  
Anisotropic Structures ◽  
The Fourier Transform

AbstractIn this work, we introduce the concept of anisotropic dielectric susceptibility matrix of anisotropic medium for both nondepolarizing and depolarizing medium. The concept provides a new way of analyzing light scattering properties of anisotropic media illuminated by polarized light. The explicit expressions for the elements of the scattering matrix are given in terms of the elements of the Fourier transform of the anisotropic dielectric susceptibility matrix of the medium. Finally, expressions for the elements of the Jones matrix of a thin layer of a deterministic anisotropic medium and the elements of the Mueller matrix of a depolarizing medium are given. The results obtained in this work is helpful for deriving information about the correlated anisotropic structures in depolarizing media from measured Mueller matrices. The findings in this work may also well prove stimulating to researchers working on new methods for analyzing light scattering properties.

Surface motion from pulse transmission through anisotropic layered structures

1967 ◽  
Vol 57 (5) ◽  
pp. 983-990
Author(s):  
Edwin S. Robinson ◽  
John K. Costain
Keyword(s):  
Input Pulse ◽  
Transversely Isotropic ◽  
System Response ◽  
Transfer Coefficients ◽  
Arrival Times ◽  
Surface Motion ◽  
Pulse Transmission ◽  
Anisotropic Structures ◽  
The Fourier Transform ◽  
And Shifts

abstract Theoretical surface motion for pulse transmission through transversely isotropic elastic structures is computed by Fourier inversion of the product of the Fourier transform of an input pulse, complex transfer coefficients for anisotropic structures, and a seismograph system response. Introduction of anisotropy causes subtle changes in the angles of refraction and shifts in arrival times of different phases as intuitively expected from Snell's law. Computations suggest no obvious criteria for recognizing anisotropy from surface motion.

VELOCITY ANISOTROPY MEASUREMENTS IN WELLS

Geophysics ◽  
1966 ◽  
Vol 31 (5) ◽  
pp. 900-916 ◽  
Author(s):  
D. M. Vander Stoep
Keyword(s):  
Seismic Waves ◽  
Layered Medium ◽  
Sedimentary Rocks ◽  
Transversely Isotropic ◽  
Anisotropy Factor ◽  
Propagation Time ◽  
Reflection Seismology ◽  
Simple Description ◽  
Velocity Anisotropy ◽  
The Difference

Sedimentary rocks are generally anisotropic to the propagation of seismic waves. Anisotropy can be defined as the difference between propagation time predicted by the simple theory of Snell’s Law and observed propagation time between two points in a layered medium that lie on a line oblique to the layers. This difference can be explained by the more complicated theory of wave propagation in transversely isotropic materials. In the zone about the vertical that is of interest in reflection seismology, the effect of anisotropy usually can be described geometrically by an anisotropy factor A. This simple description is not valid for propagation directions making large angles with the normal to the layers. The anisotropy factor as well as the vertical velocity can vary with depth. A method is given for determining the factor A as a function of depth from a continuous velocity log and a range of oblique shots into a well phone. The method is applied to two field examples. In one of the examples, it is shown by data obtained from the larger shooting distances that the simple A factor description is inadequate for higher angles of propagation direction.

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