1 edition of **Geometric analysis and porosity model of plain knitted structures** found in the catalog.

Geometric analysis and porosity model of plain knitted structures

G. B. Delkumburewatte

- 236 Want to read
- 4 Currently reading

Published
**2010** by The Open University of Sri Lanka in [Nugegoda] .

Written in English

- Machine knitting,
- Porosity,
- Mathematical models

**Edition Notes**

Includes bibliographical references (pages 35-37).

Statement | by G.B. Delkumburewatte |

Series | Monograph series in research in an academic discipline -- no. 5 |

Classifications | |
---|---|

LC Classifications | TT680 .D45 2010 |

The Physical Object | |

Pagination | vi, 37 pages : |

Number of Pages | 37 |

ID Numbers | |

Open Library | OL25117339M |

ISBN 10 | 9789552312298 |

LC Control Number | 2011432084 |

Using such ordering, one can create and model free form foldable structures. To provide changeability for geometry of the structure, a special mid-connection (pivot) is proposed and a prototype model is constructed to demonstrate the efficiency. To construct real scale foldable structures, some connections and a simple method to analyze and design.

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An image processing device was developed and used to model the loop geometry of a plain knitted fabric. Based on the analysis of existing plain knitted fabrics, the. A geometrical model of plain knitted structures is discussed in depth to understand the yarn path in a knitted loop. A theoretical model has been created to predict the porosity of a knitted structure depending on the geometrical parameters, such as.

In this study, it has been attempted to establish a theoretical model for the porosity and predicted air permeability of plain knitted fabrics. A theoretical model. The present paper attempts to investigate the relationship between fabric porosity and light permeability of the knitted structures, namely, rib 1 × 1, rib 2 × 1, single jersey, and plain structure.

The rationale is that pores (in a fabric) would allow light to pass through but at the same time provide a quantitative assessment of the UV light permeability of the knitted Cited by: 1. Porosity plays a clearly important role in geology. It controls fluid storage in aquifers, oil and gas fields and geothermal systems, and the extent and connectivity of the pore structure control fluid flow and transport through geological formations, as well as the relationship between the properties of individual minerals and the bulk properties of the by: The aim of the research was to study the geometrical parameters (yarn thickness, loop width, loop height, fabric thickness, loop length) of plain single weft knitted structures made from various.

results using % cotton plain knitted fabrics produced from ring and compact yarns of differ-ent yarn number linear density and tightness.

Key words: knitted structure, porosity, air permeability, geometric modelling. Designations used A1 - cross-sectional area of pore, cm2 At - fabric area tested, cm2 c - number of courses per centimeter. The present paper attempts to investigate the relationship between fabric porosity and light permeability of the knitted structures, namely, rib 1 × 1, rib 2 × 1, single jersey, and plain structure.

modeling for determining the porosity of jersey structures. Furthermore, Dias and Delkumburewatte [ ] came forward with a theoretical model to predict the porosity of knitted fabric structures. e y found that porosity depended on progression of relaxation and other fabric parameters.

Ogulata and Mavruz [] a rmed that there are three main. In this article we study the 3D porosity of plain weft knitted fabric while is subjected to extension under different uniaxial extension in course direction.

There are a few models for 3D porosity investigation of weft knitted fabrics such as Benltoufa model and Karaguzel model as theoretical models and empirical Guidoin model. To investigate the accuracy of these models, plain knitted. The model is very good, as it explains more than 99% (R2 adj.

= %) of the variability in loop length (L).For the use of this model, knitted fabric thickness measurements are required. In order to eliminate the fabric thickness measurements and simplify the calculation, a linear model with three predictors given by Cuden et al., i.e.

loop width (A), loop height (B), yarn thickness (d). The mathematical model is set up to establish the basic parameters of plain-knitted structure.

The cubic-spline method is applied to describe the central axis of a stitch in a plain-knitted structure. The central axis of a stitch is defined by the control points. A comprehensive analysis of composite materials based on plain weave fabrics is made in. In [3], [6] a 3D geometrical model considering the fiber undulation on both fill and warp directions, as well as the gap in between individual tows, and the possibility for different cross-sectional parameters of fill and warp tows is presented.

If the fabric porosity is calculated from the Eq. th Conclusion. In this work, an attempt has been carried out to develop a geometrical theoretical model for the determination of the loop length of single jersey knitted fabrics: a defined simplified equations for the loop length for open to normal knitted structure and for normal to compact structure in which the wales.

The link with their structure and their mechanical characteristics is explained in terms of tensile, bending and shear behaviours. In fact, knitted fabrics are probably the fibrous structures which offer the biggest diversity from a mechanical point of view, from 0% to more than % elongation.

model of the plain knitted structure has been reported by Chamberlain.5 This model represents the projection of the loop in the plain of the fabric and it is composed of circular arcs and straight lines. The limitation in the use of the model is due to the lower accuracy deriving from the 2-D representation of the loop.

InLeaf and Glaskin developed an analytical model to describe the geometry of a plain weft knitted fabric using three geometric parameters, i.e. the fiber yarn diameter, d (cm), the fabric loops per unit length in course direction (called wale number), W (loops/cm), and the fabric loops per unit length in wale direction (called course.

In this study, it has been attempted to establish a theoretical model for the porosity and predicted air permeability of plain knitted fabrics. A theoretical model was created to predict the porosity and air permeability of a knitted structure depending on the geometrical parameters.

Keywords: Fiber science, 3D Printing, e-textiles. This paper presents a geometrical model of a plain knitted loop as a basis for a mathematical description of the dimensional properties of a plain knitted fabric.

A New Aspect of Geometrical and Physical Principles Applicable to the Estimation of Textile Structures: An Ideal Model for the Plain-knitted Loop. Semnani et al. Journal of the. PETROLEUM SCIENCE & ELSEVIER Journal of Petroleum Science and Engineering 12 () Influences of pore geometry, porosity and permeability on initial water saturation An empirical method for estimating initial water saturation by image analysis Sefer B.

Coskun *, Norman C. Wardlaw Department ofGeology and Geophysics, The. Search ACM Digital Library. Search Search. Advanced Search. important branch of geometric analysis: the construction of geometric structures over a given topological space.

There are many kinds of geometric struc-tures; most of them can be classiﬂed through the theory of groups and their representa-tions.

Some of their structures are motivated by physical science. As a relatively new type of functional material, porous graphite foam exhibits unique thermophysical properties. It possesses the advantages of low density, high specific surface.

The main objectives of this study are analysis of spatial behavior of the porosity and permeability, presenting direction of anisotropy for each variable and describing variation of these parameters in Shurijeh B gas reservoir in Khangiran gas field.

Porosity well log data of 32 wells are available for performing this geostatistical analysis. A univariate statistical analysis. In this work the geometrical model of a tuck stitch and its effect on the plain knitted fabric structure are introduced. The geometrical model of this knit + tuck combination is created here for the first time, being a pioneering basic work on knit + tuck combinations.

This model is then plotted using 3DS Max software. - Geometric Analysis Peter Li Frontmatter More information Preface The main goal of this book is to present the basic tools that are necessary for research in geometric analysis. Though the main theme centers around linear theory, i.e., the Laplace equation, the heat equation, and eigenvalues for the.

1. Introduction [2] Estimation of permeability is of pivotal importance for the description of different physical processes, such as hydrocarbon recovery, fluid circulation in geothermal systems and degassing from vesiculating magmas.

Mainly due to the intricate geometry of the connected pore space and to the complexity of porous media, it has been very.

It is now thus possible to pre-determine the fully-relaxed dimensions of shrink-resist (felting-resistant) treated plain knitted wool fabric before knitting. Similar experimental work has been carried out on the relaxed dimensions of rib, interlock and some double-jersey structures, as well as some structures knitted from cotton yarns.

Such a model was developed that was based on the geometry of the unit cell of a single loop. The experimental work in this thesis involved using a set of 8 knitted fabrics that differed in course count and examining their pore structure and porosity related characteristics.

The effect of porosity on several material constants can be described by three types of empirical functions. One of these features linear increase from zero to unity of the relative bulk material constant when the relative density increases from π/6 to 1.

An almost identical function results from application of a theoretical model with the following properties. investigate the effect of knit structure on the properties mentioned all together.

The goal of this study was to find the effect of knit structures on the fabric property if processing parameters remain constant and in order to do so three single jersey structures; plain jersey, single lacoste and double lacoste were produced.

Paper ID. The use of an analytical model for determining the moduli of elasticity of composite laminates made of woven or unidirectional plies with different porosity levels was described.

The analysis of aircraft composite parts with different levels of voids (porosity) was based on a method which utilizes the results of state-of-the-art nondestructive testing methods (ultrasonic through.

How engineers should be more demanding is the subject of this book. In terms of the theory of structures, the importance of geometric nonlinearities is explained by the theorem which states that "In the presence of prestress, geometric nonlinearities are of the same order of magnitude as linear elastic effects in structures.

This paper presents a novel mathematical model of bleached cotton plain single jersey knitted fabrics. The mathematical model is used to deduce the fabric geometrical relationships that can be useful for forecasting the properties of the fabric before production.

A practical verification is carried out at different cotton yarn counts and twist factors. A theoretical analysis was made of the relaxed plain-knitted structure. The analysis differs from previous ones in that no arbitrary geometrical loop shape is assumed and no empirical methods are used.

Jan 1, - Explore yarncharm's board "mod/geometric knit stitches" on Pinterest. See more ideas about Knitting patterns, Geometric knit, Knitting pins. porosity is blue, and clay (including clay bound water) is coloured black. For log analysis purposes, we define total porosity as the pore space (blue area in above illustration) plus the clay bound water (part of the black shading).

Effective porosity is defined as the total porosity minus the clay bound water (blue area only). In order to be able to change the geometric pore structure without recreating a new model, the pore structure is implemented into a space dependent smoothed binary function.

A comparison is made between results obtained with FEM models with a fully defined geometry and the FEM model with the porosity function to describe the pore structure in. Characterization and Analysis of Porosity and Pore Structures 63 Finally, it should be kept in mind that different techniques are based on different inherent assumptions.

This is true both in terms of how they function and what they are trying to, or are capable of measuring. Thus, different approaches to pore analysis may, in fact, be likely. Geometric analysis is a mathematical discipline where tools from differential equations, especially elliptic partial differential equations are used to establish new results in differential geometry and differential use of linear elliptic PDEs dates at least as far back as Hodge recently, it refers largely to the use of nonlinear partial differential.

0 50 1e 1e 1e 1e 1 V ads, cm 3 /g p/po ZSM-5 Faujasite Conﬁnement Argon Pore size distributions • H-K calculations • NLDFT - .Jurgen Jost, "Riemannian Geometry and Geometric Analysis." Peter Li, "Lecture Notes on Geometric Analysis." Thierry Aubin, "Nonlinear Analysis on Manifolds.

Monge-Ampere Equations." Jost's book is on its sixth edition. Aubin's book has a first and second edition, although my understanding is that the first edition might actually be more suitable.• Geometric modeling is only a means not the goal in engineering.

• Ei i liEngineering analysis needs prodt tduct geometry; the degree of detaildepends on the analysis procedure that utilizes the ggyeometry.

• There is no model that is sufficient to study all behavioral aspects of an engineering component or a system.