التفاصيل البيبلوغرافية
العنوان: |
Junction problem for rigid and Timoshenko elastic inclusions in elastic bodies. |
المؤلفون: |
Khludnev, A. M., Faella, L., Popova, T. S. |
المصدر: |
Mathematics & Mechanics of Solids; Apr2017, Vol. 22 Issue 4, p737-750, 14p |
مصطلحات موضوعية: |
TIMOSHENKO beam theory, RIGID bodies, BOUNDARY value problems, EXISTENCE theorems, FRACTURE mechanics |
مستخلص: |
This paper concerns an equilibrium problem for a two-dimensional elastic body with a thin Timoshenko elastic inclusion and a thin rigid inclusion. It is assumed that the inclusions have a joint point and we analyze a junction problem for these inclusions. The existence of solutions is proved and the different equivalent formulations of the problem are discussed. In particular, the junction conditions at the joint point are found. A delamination of the elastic inclusion is also assumed. In this case, the inequality-type boundary conditions are imposed at the crack faces to prevent a mutual penetration between the crack faces. We investigate the convergence to infinity and zero of a rigidity parameter of the elastic inclusion. It is proved that in the limit, we obtain a rigid inclusion and a zero rigidity inclusion (a crack). [ABSTRACT FROM AUTHOR] |
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قاعدة البيانات: |
Complementary Index |