On thin Timoshenko inclusions in elastic bodies with defects
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The paper concerns an analysis of equilibrium problems for elastic bodies with elastic Timoshenko inclusion in the presence of defects. Defects are characterized by a positive damage parameter. This parameter is responsible for a connection between defect faces. Asymptotic properties of solutions are investigated with respect to the damage parameters as well as with respect to a rigidity parameter of the inclusions. Limit models are investigated; in particular, different equivalent problem formulations are proposed.
KeywordsThin inclusion Timoshenko beam Defect Crack Delamination Non-penetration boundary condition Variational inequality
This work was supported by RFBR (project 18-29-10007).
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