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Interfacial shear and peeling stresses in a two-plate structure subjected to monotanically increasing thermal loading

Nikolova G., Ivanova J.

Journal of Theoretical and Applied Mechanics

2013

Vol. 51 nr 4

937--947

An approximate analytical model is developed for the evaluation of the interfacial shear and peeling stresses in a bi-material element composed of two elastic plates bonded together by an interface zero thickness material and subjected to monotonically increasing thermal loading. Thermal peeling stress is caused by thermal and elastic mismatch of a two-plate structure undergo a temperature change. The “peeling” stress can be determined from the evaluated interfacial shear stress and is proportional to deflections of the thinner plate of the structure, i.e. to its displacements with respect to the thicker plate. The interface is assumed to exhibit brittle failure at the critical shear stress value. The analytical solution qualitatively shows delamination and ultimate failure. The results are illustrated in figures and discussed.

Gas-liquid and liquid-liquid stratified flows: exact analytical solutions and mechanistic models

Ullmann A., Goldstein A., Brauner N.

Transactions of the Institute of Fluid-Flow Machinery

2005

nr 117

59-79

An exact analytical solution has been obtained for fully developed laminar stratified flow in inclined pipes with a plane or curved interface. This solution is of practical significance mainly for studying liquid-liquid flows. However, it is also needed as a benchmark for testing the validity of numerical methods, and for testing closure relations for two-fluid models. Two-fluid models may yield poor predictions in inclined co-current and counter-current flows. The commonly used closure relations for the wall and interfacial shear stresses do not correctly represent the fine balance between the gravity body forces and viscous shear in inclined flows. The exact solution obtained for laminar flows is used to establish and validate new closure relations, which account for the interaction between the phases and are applicable also for turbulent stratified flows.