Geodesic
Equilibrium problems for elastic body with a crack and thin conjugated inclusions
Dalʹnevostočnyj matematičeskij žurnal, Tome 24 (2024) no. 1, pp. 73-95

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An equilibrium problem for an elastic body is considered. It is assumed that the body has crack which junction the thin inclusion at a given point. We analyze a conjugate conditions parts of thin inclusion. Inequality type boundary conditions are considered at the crack faces to prevent a mutual penetration between the faces. Existence of solutions is proved. Equivalent problem formulations are discussed. The passage to the limit under stiffness parameter of thin inclusions to infinity. 
@article{DVMG_2024_24_1_a7,
     author = {N. A. Nikolaeva},
     title = {Equilibrium problems for elastic body with a crack and thin conjugated inclusions},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {73--95},
     publisher = {mathdoc},
     volume = {24},
     number = {1},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2024_24_1_a7/}
}
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N. A. Nikolaeva. Equilibrium problems for elastic body with a crack and thin conjugated inclusions. Dalʹnevostočnyj matematičeskij žurnal, Tome 24 (2024) no. 1, pp. 73-95. http://geodesic.mathdoc.fr/item/DVMG_2024_24_1_a7/