Narrow Results

The melting transition in anisotropic type-II superconductors has been studied by the Lindemann criterion in the framework of elastic theory. Using two Lindemann numbers for two transverse directions, we find that the single melting transition can be obtained, when the ratio between the two Lindemann numbers reaches special value.

Vibration of structures subjected to concentrated masses and stiffnesses is a popular topic of interest and significance in the mechanics community. Unfortunately, in vibration analysis of structures, the concentrated parameters such as masses, springs, and even supports are not permitted theoretically for some cases. In this paper, we prove that concentrated parameters are not admissible in vibration analysis for those structures whose static Green's functions have a singularity at the origin. The classes of structure include membranes, Mindlin plates and various theories of shells.