Piezoelectric Study on Elliptic Inhomogeneity Problem Using Alternating Technique

2005 ◽  
Vol 81 (1) ◽  
pp. 91-109 ◽  
Author(s):  
Shihnung Chen ◽  
Mingho Shen ◽  
Fumo Chen
Keyword(s):  
Alternating Technique ◽  
Inhomogeneity Problem ◽  
Elliptic Inhomogeneity

Thermoelastic Interaction Between Singularities and Interfaces in an Anisotropic Trimaterial

2007 ◽  
Vol 74 (6) ◽  
pp. 1285-1288
Author(s):  
Seung Tae Choi
Keyword(s):  
Analytic Continuation ◽  
Anisotropic Medium ◽  
Dissimilar Materials ◽  
Infinite Body ◽  
Series Form ◽  
Alternating Technique ◽  
Thermoelastic Interaction ◽  
General Plane ◽  
Homogeneous Anisotropic Medium ◽  
Plane Deformations

The method of analytic continuation and Schwarz-Neumann’s alternating technique were applied to the thermoelastic interaction problems of singularities and interfaces in an anisotropic “trimaterial,” which denotes an infinite body composed of three dissimilar materials bonded along two parallel interfaces. It was assumed that the linear thermoelastic materials are under general plane deformations in which the plane of deformation is perpendicular to the planes of the two parallel interfaces. The author then showed that by alternately applying the method of analytic continuation across two parallel interfaces the solution for the thermoelastic singularities in an anisotropic trimaterial can be obtained in a series form from a solution for the same singularities in a homogeneous anisotropic medium.

Singularities Interacting With a Coated Circular Inhomogeneity Revisited

2008 ◽  
Vol 75 (6) ◽  
Author(s):  
Seung Tae Choi
Keyword(s):  
Analytic Continuation ◽  
Building Block ◽  
Homogeneous Medium ◽  
Circular Inclusion ◽  
Specific Information ◽  
General Solutions ◽  
Alternating Technique ◽  
Circular Inhomogeneity

Singularities interacting with a coated circular inhomogeneity are analyzed with the method of analytic continuation and the Schwarz–Neumann’s alternating technique. It is shown that the solution for singularities in a homogeneous medium can be used as a building block of the solution for the same singularities interacting with a coated circular inclusion. The obtained solutions have series forms independent of any specific information about singularities, and thus they can be interpreted as general solutions for a variety of singularities.

Antiplane Strain Problems of an Elliptic Inclusion in an Anisotropic Medium

1977 ◽  
Vol 44 (3) ◽  
pp. 437-441 ◽  
Author(s):  
H. C. Yang ◽  
Y. T. Chou
Keyword(s):  
Anisotropic Medium ◽  
Strain Energy ◽  
Elastic Field ◽  
Antiplane Strain ◽  
Elliptic Inclusion ◽  
Rigid Line ◽  
Uniform Stress Field ◽  
Elliptic Cavity ◽  
Stress Magnification ◽  
Elliptic Inhomogeneity

The antiplane strain problem of an elliptic inclusion in an anisotropic medium with one plane of symmetry is solved. Explicit expressions of compact form are obtained for the elastic field inside the inclusion, the stress at the boundary, and the strain energy of the system. The perturbation of an otherwise uniform stress field due to an elliptic inhomogeneity is studied, and explicit solutions are given for the extreme cases of an elliptic cavity and a rigid elliptic inhomogeneity. It is found that both the stress magnification at the edge of the inhomogeneity and the increase of strain energy depend only on the component P23A of the applied stress for an elongated cavity; and depend only on the component E13A of the applied strain for a rigid line inhomogeneity.

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