Geodesic
An indefinite boundary soil--structure interaction mathematical model
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 12 (2009) no. 2, pp. 221-230

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A model of the indefinite boundary soil–structure interaction problem is presented in the paper. The structure is described by finite elements, the soil is described by a partial hyperbolic equation, and the contact between the soil and the structure is described by a matrix integral equation. The structure and soil damping are examined and a theorem for obtaining a structural finite element damping description is demonstrated. 
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     author = {Ph. Philipoff and V. Tchobanov and M. Grammatikopoulos and Ph. Mikhaylov},
     title = {An indefinite boundary soil--structure interaction mathematical model},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
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     number = {2},
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     url = {http://geodesic.mathdoc.fr/item/SJVM_2009_12_2_a8/}
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Ph. Philipoff; V. Tchobanov; M. Grammatikopoulos; Ph. Mikhaylov. An indefinite boundary soil--structure interaction mathematical model. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 12 (2009) no. 2, pp. 221-230. http://geodesic.mathdoc.fr/item/SJVM_2009_12_2_a8/