Titlebook: Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells; Applications of the Jan Awrejcewicz,Vadim A. Krys’ko Book 20031st edi

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Coupled Thermoelasticity and Transonic Gas Flow,First, the fundamental assumptions related to the stress-strain relation of the Timoshenko kinematic model are formulated, and then the differential equations are derived. Both the Timoshenko and the Kirchhoff-Love models are taken into account. Then the boundary and initial conditions are formulate

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Estimation of the Errors of the Bubnov-Galerkin Method, formulated and proved. The error estimates hold for a system of differential equations of a rather general form with homogeneous boundary conditions, which corresponds to coupled thermoelastic problems for plates and shallow shells with variable thickness. In addition, a particular case of this pro

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Numerical Investigations of the Errors of the Bubnov-Galerkin Method,ved. The estimates related to the general case of a shell with a variable thickness subjected to time-varying mechanical and thermal loads possess an important theoretical meaning (they guarantee, for a wide class of problems, strong convergence of successive approximations to the exact solution wit

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