Extended Stoney’s Formula for a Film-Substrate Bilayer With the Effect of Interfacial Slip
نویسنده
چکیده
The curvature-stress relation is studied for a film-substrate bilayer with the effect of interfacial slip and compared with that of an ideal interface without interfacial slip. The interfacial slip together with the dimensions, elastic and interfacial properties of the film and substrate layers can cause a significant deviation of curvature-stress relation from that with an ideal interface. The interfacial slip also results in the so-called free edge effect that the stress, constraint force, and curvature vary dramatically around the free edges. The constant curvature as predicted by Stoney’s formula and the Timoshenko model of an ideal interface is no longer valid for a bilayer with a nonideal interface. The models with the assumption of an ideal interface can also lead to an erroneous evaluation on the true stress state inside a bilayer with a nonideal interface. The extended Stoney’s formula incorporating the effects of both the layer dimensions and interfacial slip is presented. DOI: 10.1115/1.2745387
منابع مشابه
The multilayer-modified Stoney’s formula for laminated polymer composites on a silicon substrate
The thermomechanical behavior of multilayer structures is a subject of perennial interest. Stoney’s formula has long been one of the most important tools for understanding thermomechanical stress for single-layered structures like spin-coated polyimides or deposited metal thin film on substrates. In today’s microelectronics, however, as multilayer substrates have become widely available, the ‘‘...
متن کاملExtension of Stoney’s Formula to Arbitrary Temperature Distributions in Thin Film/Substrate Systems
Current methodologies used for the inference of thin film stress through curvature measurements are strictly restricted to stress and curvature states that are assumed to remain uniform over the entire film/substrate system. By considering a circular thin film/ substrate system subject to nonuniform and nonaxisymmetric temperature distributions, we derive relations between the film stresses and...
متن کاملThin Film Heterogeneous Ion Exchange Membranes Prepared by Interfacial Polymerization of PAA-co-Iron-Nickel Oxide Nanoparticles on Polyvinylchloride Based Substrate
In this research thin film heterogeneous cation exchange membrane was prepared by interfacial polymerization of polyacrylic acid-co-iron nickel oxide nanoparticle son PVC based substrate. Spectra analysis confirmed graft polymerization conclusively. The SEM images showed that polymerized layer covers the membranes by simple gel network entanglement. Results exhibited that membrane water content...
متن کاملExtension of Stoney’s formula to non-uniform temperature distributions in thin film/substrate systems. The case of radial symmetry
Current methodologies used for the inference of thin film stress through curvature measurements are strictly restricted to stress and curvature states which are assumed to remain uniform over the entire film/substrate system. By considering a circular thin film/substrate system subject to non-uniform, but axisymmetric temperature distributions, we derive relations between the film stresses and ...
متن کاملThermal Annealing Influence over Optical Properties of Thermally Evaporated SnS/CdS Bilayer Thin Films
Thin films of tin sulfide/cadmium sulfide (SnS/CdS) were prepared bythermal evaporation method at room temperature on a glass substrate and then annealedat different temperature with the aim of optimizing the optical properties of the materialfor use in photovoltaic solar cell devices. The effect of annealing on optical propertiesof SnS/CdS film was studied in the temper...
متن کامل