Thermo-elastic and thermo-piezo-elastic interaction crack type boundary-transmission problems with regard to the microrotation

Publication date: 25 July 2024

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

zbMATH Keywords

potential method regularity of solutions pseudodifferential equations asymptotic properties of solutions thermo-piezo-electricity without energy dissipation Green-Naghdi's model interface crack boundary-transmission problems stress singularity exponents

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Pseudodifferential operators as generalizations of partial differential operators (35S05) Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Stress concentrations, singularities in solid mechanics (74G70) Thermodynamics in solid mechanics (74A15) Composite and mixture properties (74E30) Thermal effects in solid mechanics (74F05) Electromagnetic effects in solid mechanics (74F15) Integral representations of solutions to PDEs (35C15) Asymptotics of solutions to integral equations (45M05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Equations and inequalities involving linear operators, with vector unknowns (47A50) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74) Pseudodifferential operators (47G30) Second-order elliptic systems (35J47) Potential operators (47G40) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boundary value problems for second-order elliptic systems (35J57)

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