NDLI: Antiplane study on confocally elliptical inhomogeneity problem using an alternating technique

Content Provider	Springer Nature Link
Author	Shen, M.H. Chen, S.N. Chen, F.M.
Copyright Year	2005
Abstract	This paper presents a novel efficient procedure to analyze the two-phase confocally elliptical inclusion embedded in an unbounded matrix under antiplane loadings. The antiplane loadings considered in this paper include a point force and a screw dislocation or a far-field antiplane shear. The analytical continuation method together with an alternating technique is used to derive the general forms of the elastic fields in terms of the corresponding problem subjected to the same loadings in a homogeneous body. This approach could lead to some interesting simplifications in solution procedures, and the derived analytical solution for singularity problems could be employed as a Green's function to investigate matrix cracking in the corresponding crack problems. Several specific solutions are provided in closed form, which are verified by comparison with existing ones. Numerical results are provided to show the effect of the material mismatch, the aspect ratio, and the loading condition on the elastic field due to the presence of inhomogeneities.
Starting Page	302
Ending Page	314
Page Count	13
File Format	PDF
ISSN	09391533
Journal	Archive of Applied Mechanics
Volume Number	75
Issue Number	4
e-ISSN	14320681
Language	English
Publisher	Springer-Verlag
Publisher Date	2005-12-21
Publisher Place	Berlin/Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Confocally elliptical inhomogeneity Antiplane elasticity Analytical continuation Alternating technique Nonlinear Dynamics, Complex Systems, Chaos, Neural Networks Mechanics Fluids Thermodynamics Systems and Information Theory in Engineering Theoretical and Applied Mechanics
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering

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