Green's Function for the Infinite Two-Dimensional Orthotropic Medium
Source abstract
Abstract
The elastostatic Green's function (fundamental solution) for displacements of the two-dimensional infinite medium with orthotropic symmetry is derived in closed form in terms of elementary functions.
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Source: openaire · Quality: needs review · Source record ↗
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Research context
OpenAlex topics: Elasticity and Wave Propagation · Advanced Mathematical Modeling in Engineering · Geotechnical and Geomechanical Engineering
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References (4)
Show source-provided references
1. Sir W. Thompson (Lord Kelvin) (1882), Mathematical and Physical Systems Cambridge University Press.
2. I. M. Lifshitz and L. N. Rosenweig, (1947) On the construction of the Green's tensor for the main equation of the theory of elasticity in the case of anisotropic elastic medium. Zh. eksper. teor. Fiz. 17, pp. 783-787, (in Russian).
3. V. I. Fabrikant, Applications of Potential Theory in Mechanics. Dodrecht: Kluwer Academic Publisher (1989)
4. I. Sevostianov, Green's function for orthotropic three-dimensional elastic medium. Proc. Roy Soc.-A (submitted).