Modelling Fabric Mechanics

Mechanics of textile fabrics by modelling of equilibrium of forces is difficult to apply broadly in practical applications. An alternative, which offers more promise for industrial utility in computer-aided design, is the energy-based approach described by Hearle and Shanahan (1978 a, b). The paper reviews the basic principles and considers the ways of introducing appropriate energy terms to cover yarn extension, yarn bending, yarn flattening, and friction at crossovers. The main discussion is given for the elastic response of simple, plain-weave fabrics, based on several different geometric models, but the ways to deal with other fabrics and conditions are also suggested. The paper provides a protocol for advancing the subject from academic research to commercial use.

[1]  M. Konopasek,et al.  38—A MECHANICAL MODEL OF THE 2/2-TWILL WEAVE , 1975 .

[2]  A. Demiroz,et al.  A Study of the Graphical Representation of Plain-knitted Structures Part I: Stitch Model for the Graphical Representation of Plain-knitted Structures , 2000 .

[3]  J. Hearle,et al.  11—AN ENERGY METHOD FOR CALCULATIONS IN FABRIC MECHANICS PART I: PRINCIPLES OF THE METHOD , 1978 .

[4]  S. Kawabata,et al.  Non-linear Theory of the Biaxial Deformation of a Triaxial-weave Fabric , 1992 .

[5]  I. Verpoest,et al.  3 – Mechanical modelling of solid woven fabric composites , 1999 .

[7]  John W. S. Hearle,et al.  Analysis of Drape by Means of Dimensionless Groups , 1986 .

[8]  S. Kawabata,et al.  3—THE FINITE-DEFORMATION THEORY OF PLAIN-WEAVE FABRICS PART I: THE BIAXIAL-DEFORMATION THEORY , 1973 .

[9]  Subhash K. Batra,et al.  Computer-assisted Structural Design of Industrial Woven Fabrics Part III: Modelling of Fabric Uniaxial/Biaxial Load-Deformation , 1994 .

[10]  Prasad Potluri,et al.  A General Theory for the Deformation Behaviour of Non-plain-weave Fabrics under Biaxial Loading , 2000 .

[11]  J. B. Hamilton.  40—A DIRECT METHOD FOR MEASURING YARN DIAMETERS AND BULK DENSITIES UNDER CONDITIONS OF THREAD FLATTENING , 1959 .

[12]  G. Leaf,et al.  1—THE INITIAL LOAD–EXTENSION BEHAVIOUR OF PLAIN-WOVEN FABRICS , 1980 .

[13]  S. Kawabata,et al.  The Finite deformation theory of plain-weave fabrics , 1973 .

[14]  J. Amirbayat,et al.  The complex buckling of flexible sheet materials—Part I. Theoretical approach , 1986 .

[15]  S. Kawabata,et al.  Strain energy density functions of rubber vulcanizates from biaxial extension , 1977 .

[16]  Stepan Vladimirovitch Lomov,et al.  Hierarchy of Textile Structures and Architecture of Fabric Geometric Models , 2001 .

[17]  Masako Niwa,et al.  38—A FINITE-DEFORMATION THEORY OF THE 2/2-TWILL WEAVE UNDER BIAXIAL EXTENSION , 1979 .

[18]  A. Demiroz,et al.  A Study of the Graphical Representation of Plain-knitted Structures Part II: Experimental Studies and Computer Generation of Plain-knitted Structures , 2000 .

[19]  Milos Konopasek.  Textile Applications of Slender Body Mechanics , 1980 .

[20]  Masako Niwa,et al.  Theoretical analysis of the non-linear deformation properties of a triaxial weave under biaxial stress fields , 1996 .

[21]  W. J. Shanahan,et al.  12—AN ENERGY METHOD FOR CALCULATIONS IN FABRIC MECHANICS PART II: EXAMPLES OF APPLICATION OF THE METHOD TO WOVEN FABRICS , 1978 .

[22]  J. Amirbayat,et al.  The Anatomy of Buckling of Textile Fabrics: Drape and Conformability , 1989 .

[23]  D. W. Lloyd,et al.  Characterizing the Elastic Behavior of Textile Fabrics in Complex Deformations , 1978 .

[24]  Milos Konopasek.  Classical Elastica Theory and its Generalizations , 1980 .