Strain Regularity and Stiffness Tensor of Reinforcers in Dense Particle Reinforced Composites

针对高体积份数、随机分布、等轴状颗粒增强复合材料 ,研究了材料的应变分布规律 ,给出了基体和增强体应变平均值与材料微观结构参数之间的定量关系。结果表明 ,除应变平均值外 ,应变涨落是影响刚度张量的另一个重要因素 ,研究了应变涨落与材料微观结构参数之间的关系 ,并推导出了复合材料的刚度张量。与实验结果和以往的理论比较 ,预测结果与实验结果吻合良好

Regularity of strain distribution in short-fiber/whisker reinforced composites

Based on studies on the strain distribution in short-fiber/whisker reinforced metal matrix composites, a deformation characteristic parameter, lambda is defined as a ratio of root-mean-square strain of the reinforcers identically oriented to the macro-linear strain along the same direction. Quantitative relation between lambda and microstructure parameters of composites is obtained. By using lambda, the stiffness moduli of composites with arbitrary reinforcer orientation density function and under arbitrary loading condition are derived. The upper-bound and lower-bound of the present prediction are the same as those from the equal-strain theory and equal-stress theory, respectively. The present theory provides a physical explanation and theoretical base for the present commonly-used empirical formulae. Compared with the microscopic mechanical theories, the present theory is competent for stiffness modulus prediction of practical engineering composites in accuracy and simplicity.

Approximate Best Proximity Points of Cyclic Self-maps in Metric Spaces and Cyclic Asymptotic Regularity

3rd International Conference on Mathematical Modeling in Physical Sciences (IC-MSQUARE) Madrid, AUG 28-31, 2014 / editado por Vagenas, EC; Vlachos, DS; Bastos, C; Hofer, T; Kominis, Y; Kosmas, O; LeLay, G; DePadova, P; Rode, B; Suraud, E; Varga, K

Polymorphic EST-SSR markers and their mode of inheritance in Fenneropenaeus chinensis

229 SSRs (simple sequence repeats) were identified among 10,443 ESTs (expressed sequence tags) of Chinese shrimp (Fenneropenaeus chinensis). The average density of SSRs was one SSR per 19.1 kb of EST sequence screened. The dinucleotide repeats appeared to be the most abundant SSRs detected. Nine EST-SSR markers were detected polymorphisms of the thirty SSR primer pairs derived from F chinensis ESTs. The number of alleles per locus ranged from 5 to 15, with an average of 9.1 alleles per locus. The observed heterozygosity of nine loci ranged from 0.47 to 0.87. These loci were used successfully for pedigree analysis in three families of Fenneropenaeus chinensis. Two of the nine microsatellite loci showed the existence of null alleles. Assuming the existence of null alleles at Fc07 and Fc14 loci, the allelic inheritance mode of the EST-SSR DNA markers (Fc04, Fc06, Fc07, Fc10, Fc14, Fc18, Fc22, Fc24, and Fc27) was consistent with Mendelian segregation. (c) 2005 Elsevier B.V. All rights reserved.

Recovering a lost inheritance : The marital economy and its absence from the Prehistory of Economics in Britain

Roberts, Michael. 'Recovering a lost inheritance: the marital economy and its absence from the Prehistory of Economics in Britain', in: 'The Marital Economy in Scandinavia and Britain 1400-1900', (Eds) Argen, Maria., Erickson, Amy Louise., Farnham: Ashgate, 2005, pp.239-256 RAE2008

Intersubject Regularity in the Intrinsic Shape of Human V1

Previous studies have reported considerable intersubject variability in the three-dimensional geometry of the human primary visual cortex (V1). Here we demonstrate that much of this variability is due to extrinsic geometric features of the cortical folds, and that the intrinsic shape of V1 is similar across individuals. V1 was imaged in ten ex vivo human hemispheres using high-resolution (200 μm) structural magnetic resonance imaging at high field strength (7 T). Manual tracings of the stria of Gennari were used to construct a surface representation, which was computationally flattened into the plane with minimal metric distortion. The instrinsic shape of V1 was determined from the boundary of the planar representation of the stria. An ellipse provided a simple parametric shape model that was a good approximation to the boundary of flattened V1. The aspect ration of the best-fitting ellipse was found to be consistent across subject, with a mean of 1.85 and standard deviation of 0.12. Optimal rigid alignment of size-normalized V1 produced greater overlap than that achieved by previous studies using different registration methods. A shape analysis of published macaque data indicated that the intrinsic shape of macaque V1 is also stereotyped, and similar to the human V1 shape. Previoud measurements of the functional boundary of V1 in human and macaque are in close agreement with these results.

Regularity of invariant densities for 1D systems with random switching

© 2015 IOP Publishing Ltd & London Mathematical Society.This is a detailed analysis of invariant measures for one-dimensional dynamical systems with random switching. In particular, we prove the smoothness of the invariant densities away from critical points and describe the asymptotics of the invariant densities at critical points.