Isotropic dual p-surface area measure

Abstract

It is shown that a convex body has minimal dual p-surface area among its affine transformations of the same volume if and only if its dual p-surface area measure is isotropic. A double-sided estimate for the (n − 1)-dimensional volume of the intersection of a dual p-surface isotropic convex body in terms of its affine invariant dual p-surface quantity is given. Furthermore, the dual p-isopermetric inequality is obtained.

The Influence of the Hot Processing Conditions on the Impregnating Degree of GF/PET Friction Spun Core Yarn

“…The conclusion could be deduced from the tensile process. The strength of the parallel GF bundle is contributed by single fiber, and there is no interaction force between each other [7], for the adhesion of the GF is very small due to the circular cross section and the smooth longitudinal section. And the core yarn---Glass filament in the friction spun yarn---is almost parallel without twist because of the friction spun, so the GF could be also considered parallel after hot pressing.…”

“…The tensile fracture of GF impregnated by PET should conquer the tensile strength of the GF and the shear strength of the adhesion between the GF and PET resin. The more the PET resin impregnated the GF, the more the adhesion would be and the better the adhesive property would be [7]. Thus, the shear strength to be conquered would be more, so the tensile strength would be more too.…”

Study on planar compression properties of multi-layered spacer fabrics

“…The main analysis indicators used in this paper are the compression ratio, compression work, recovery work, recovery ratio and modulus. Referring to the definitions in GB/T 24442 and “Textile physics,” 28 the detailed explanations of each indicator are as follows. Compression ratio: a typical compression curve for a spacer fabric is shown in Figure 4, where P max is the constant pressure value and L max is the displacement at the constant pressure value P max .…”

“…The main analysis indicators used in this paper are the compression ratio, compression work, recovery work, recovery ratio and modulus. Referring to the definitions in GB/T 24442 and "Textile physics," 28 the detailed explanations of each indicator are as follows.…”

The Tribological Behaviour of Precipitation-Hardening Stainless Steel 0Cr17Ni4Cu4Nb against 30CrMnSiA Steel under Sliding Condition

“…300 series own the good corrosion resistance at the sacrifice of its strength. The strength of 400 series increase but its corrosion resistance properties reduce [1,2]. The higher overall performances were required as the rapid development of petroleum, chemical industry, nuclear energy, aerospace and navigation, as well as the properties of high strength, resistance to high temperature, pressure, radiation and etc.…”