Junction problems for thin inclusions in elastic bodies

All-Russian conference on Nonlinear Waves: Theory and New Applications

Khludnev, A.M.^1,2

Lavrentyev Institute of Hydrodynamics, Novosibirsk

630090, Russia^1

Novosibirsk State University, Novosibirsk

630090, Russia^2

关键词: Elastic body;    Elastic inclusion;    Equilibrium problem;    Euler-Bernoulli;    Existence of Solutions;    Limit problem;    Rigidity parameters;    Thin inclusions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/722/1/012043/pdf
DOI  :  10.1088/1742-6596/722/1/012043

来源: IOP

【 摘 要 】

Equilibrium problems for a 2D elastic bodies with thin Euler-Bernoulli and Timoshenko elastic inclusions are considered. It is assumed that inclusions have a joint point, and a junction problem for these inclusions is analyzed. Existence of solutions is proved, and different equivalent formulations of problems are discussed. In particular, junction conditions at the joint point are found. A delamination of the elastic inclusions is also assumed. In this case, inequality type boundary conditions are imposed at the crack faces to prevent a mutual penetration between crack faces. A convergence to infinity of a rigidity parameter of the elastic inclusions is investigated. Limit problems are analyzed.