Additional response: Additional discussion of “Mixed mode ductile fracture using the strain energy density criterion”

boundary-layer flows, the skin friction and wall heat-transfer are higher and the

Response: Discussion of “Mixed Mode ductile fracture using the strain energy density criterion,” by E.E. Gdoutos

thermal conduction, and acoustic wave propagation are included. This

Evolution and propagation of density waves on galactic disk .1. General evolution equation of wavelet and discussion of its solution

This paper presents a general self-consistent theory of evolution and propagation of wavelets on the galactic disk. A simplified model for this theory, i. e. the thin transition-layer approximation is proposed.There are three types of solutions to the basic equation governing the evolution of wavelets on the disk: (ⅰ) normal propagating type; (ⅱ) swing type; (ⅲ) general evolving type. The results show that the first two types are applicable to a certain domain on the galactic disk and a certain region of the wave number of wavelets. The third is needed to join the other two types and to yield a coherent total picture of the wave motion. From the present theory, it can be seen that the well-known "swing theory" of the G-L sheet model holds only for a certain class of basic states of galaxies.

A new species of Amolops (Anura : Ranidae) from Yunnan, China, with a discussion of karyological diversity in Amolops

We describe a new species, Amolops tuberodepressus, from the mountainous regions of Jingdong County, Yunnan Province, China. This species differs from all other congeners in a combination of both karyological and morphological characteristics. Morphologically, the new species resembles A. mantzorum, A. kangtingensis, A. jinjiangensis, and A. liangshanensis occurring in southern Sichuan and northern Yunnan and may easily be confused with those species. However, Amolops tuberodepressus differs from those species by the presence of a distinct tympanum, flatter supratympanic fold, flatter tubercles on the flanks, and absence of a dorsolateral Fold. Karyological evidence also strongly supports the distinctness of the new species. A consideration of one Karyological character demonstrates that species of Amolops in southwestern China all share secondary constrictions on chromosome pair six. In view of the morphological similarity among species df Amolops in southwestern China, these species may have only recently diverged from a common ancestral species.