Singular boundary integral equations of boundary value problems of the elasticity theory under supersonic transport loads

DOI10.1134/S0012266117030041zbMath1469.74076MaRDI QIDQ2358832

L. A. Alekseyeva

Publication date: 16 June 2017

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

uniquenessshock wave solutionmethod of generalized functionsdynamic Somigliana formula

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Shocks and related discontinuities in solid mechanics (74J40) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Singular boundary integral equations of boundary value problems of elastic dynamics in the case of subsonic running loads
• Fundamental solutions in an elastic space in the case of moving loads
• The generalized solutions of the Lama's equations in the case of running loads. The shock waves

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