Elastic analysis of a half-plane containing an inclusion and a void using a mixed volume and boundary integral equation method

A mixed volume and boundary integral equation method is used to calculate the plane elastostatic field in an isotropic elastic half-plane containing an isotropic or anisotropic inclusion and a void subject to remote loading parallel to a traction-free boundary. A detailed analysis of the stress fiel...

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Published inEngineering analysis with boundary elements Vol. 35; no. 7; pp. 915 - 924
Main Authors Lee, J.K., Mal, A.
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier Ltd 01.07.2011
Elsevier
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ISSN0955-7997
1873-197X
DOI10.1016/j.enganabound.2011.02.004

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Abstract A mixed volume and boundary integral equation method is used to calculate the plane elastostatic field in an isotropic elastic half-plane containing an isotropic or anisotropic inclusion and a void subject to remote loading parallel to a traction-free boundary. A detailed analysis of the stress field is carried out for three different geometries of the problem. It is demonstrated that the method is very accurate and effective for investigating local stresses in an isotropic elastic half-plane containing multiple isotropic or anisotropic inclusions and multiple voids.
AbstractList A mixed volume and boundary integral equation method is used to calculate the plane elastostatic field in an isotropic elastic half-plane containing an isotropic or anisotropic inclusion and a void subject to remote loading parallel to a traction-free boundary. A detailed analysis of the stress field is carried out for three different geometries of the problem. It is demonstrated that the method is very accurate and effective for investigating local stresses in an isotropic elastic half-plane containing multiple isotropic or anisotropic inclusions and multiple voids.
Author Lee, J.K.
Mal, A.
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Issue 7
Keywords Isotropic inclusion
Boundary integral equation method
Half-plane
Anisotropic inclusion
Green's function
Volume integral equation method
Void
Mixed volume and boundary integral equation method
Stress analysis
Free boundary
Solid inclusion
Half plane
Boundary integral method
Green function
Modeling
Cavity
Elastic half plane
Plane elasticity
Integral equation
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Snippet A mixed volume and boundary integral equation method is used to calculate the plane elastostatic field in an isotropic elastic half-plane containing an...
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SubjectTerms Anisotropic inclusion
Anisotropy
Boundaries
Boundary integral equation method
Elastic anisotropy
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Green's function
Half-plane
Inclusions
Integral equations
Integral equations, integral transforms
Isotropic inclusion
Mathematical analysis
Mathematics
Mixed volume and boundary integral equation method
Numerical analysis
Numerical analysis. Scientific computation
Physics
Sciences and techniques of general use
Solid mechanics
Static elasticity (thermoelasticity...)
Stresses
Structural and continuum mechanics
Void
Voids
Volume integral equation method
Title Elastic analysis of a half-plane containing an inclusion and a void using a mixed volume and boundary integral equation method
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