Mixed boundary value problems of pseudo-oscillations of generalized thermo-electro-magneto-elasticity theory for solids with interior cracks

DOI10.1016/j.trmi.2016.09.001zbMath1356.35240OpenAlexW2521889112MaRDI QIDQ336000

Tengiz Buchukuri, David Natroshvili, Otar Chkadua

Publication date: 10 November 2016

Published in: Transactions of A. Razmadze Mathematical Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.trmi.2016.09.001

zbMATH Keywords

asymptotic behaviour of solutionscrackspotential methodmixed boundary value problemspseudodifferential equationsGreen-Lindsay's modelthermo-electro-magneto-elasticity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Linear elasticity with initial stresses (74B10) Stress concentrations, singularities in solid mechanics (74G70) Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05) Electromagnetic effects in solid mechanics (74F15) Boundary value problems for PDEs with pseudodifferential operators (35S15) Asymptotics of solutions to integral equations (45M05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Regularity of solutions of equilibrium problems in solid mechanics (74G40) Electro- and magnetostatics (78A30) PDEs in connection with mechanics of deformable solids (35Q74) Pseudodifferential operators (47G30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Cites Work

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• Heat waves.
• Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. II: Solution regularity and asymptotics
• Some theorems in the generalized theory of thermo-magnetoelectroelasticity under Green-Lindsay's model
• Thermoelasticity
• Asymptotics of functions represented by potentials.
• Pseudodifferentia Equations on Manifolds with Boundary: Fredholm Property and Asymptotic
• Pseudo-differential boundary problems in L_p, spaces
• Solvability and regularity results to boundary-transmission problems for metallic and piezoelectric elastic materials
• Direct Methods in the Theory of Elliptic Equations
• The Interface Crack
• Asymptotics Without Logarithmic Terms for Crack Problems†
• The Green formula and layer potentials