14—THE GEOMETRY AND MECHANICS OF THE PLAIN-WEAVE STRUCTURE: A COMPARISON OF THE GENERAL ENERGY METHOD OF ANALYSIS AND PREVIOUS MODELS

Woven-fabric parameters obtained from the general energy analysis of fabric mechanics developed by de Jong and Postle are compared with those predicted by older geometrical and mechanistic models. When the energy model is modified to include constraints on the yarn curvature for a plain-weave fabric subject to internal reaction forces only, the parameters obtained agree with the Peirce mechanistic model for low values of crimp but approach those predicted by the Peirce geometrical model as jamming conditions are approached. Results are also presented for a plain-weave fabric subject to external biaxial tension, and these are compared with experimental results reported by Ellis and Munden for initial-loomstate fabrics.

[1]  F. T. Peirce.  The geometry of cloth structure , 1937 .

[2]  Louis Love,et al.  Graphical Relationships in Cloth Geometry for Plain, Twill, and Sateen Weaves , 1954 .

[3]  A. Kemp.  An Extension of Peirce's Cloth Geometry to the Treatment of Non-circular Threads , 1958 .

[4]  B. Olofsson,et al.  49—A GENERAL MODEL OF A FABRIC AS A GEOMETRIC-MECHANICAL STRUCTURE , 1964 .

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

[6]  G. A. V. Leaf,et al.  26—THE ELASTIC RESISTANCE TO BENDING OF PLAIN-WOVEN FABRICS , 1973 .

[7]  P. Ellis,et al.  52—A THEORETICAL ANALYSIS AND EXPERIMENTAL STUDY OF THE PLAIN SQUARE WEAVE. PART III: THE GEOMETRY OF THE PLAIN SQUARE WEAVE , 1973 .

[8]  R. Postle,et al.  36—AN ENERGY ANALYSIS OF THE MECHANICS OF WEFT-KNITTED FABRICS BY MEANS OF OPTIMAL-CONTROL THEORY PART III: THE 1 × 1 RIB-KNITTED STRUCTURE , 1977 .

[9]  R. Postle,et al.  39—AN ENERGY ANALYSIS OF WOVEN-FABRIC MECHANICS BY MEANS OF OPTIMAL-CONTROL THEORY PART I: TENSILE PROPERTIES , 1977 .

[10]  R. Postle,et al.  35—AN ENERGY ANALYSIS OF THE MECHANICS OF WEFT-KNITTED FABRICS BY MEANS OF OPTIMAL-CONTROL THEORY PART II: RELAXED-FABRIC DIMENSIONS AND TENSILE PROPERTIES OF THE PLAIN-KNITTED STRUCTURE , 1977 .

[11]  R. Postle,et al.  34—AN ENERGY ANALYSIS OF THE MECHANICS OF WEFT-KNITTED FABRICS BY MEANS OF OPTIMAL-CONTROL THEORY PART I: THE NATURE OF LOOP-INTERLOCKING IN THE PLAIN-KNITTED STRUCTURE , 1977 .

[12]  R. Postle,et al.  40—AN ENERGY ANALYSIS OF WOVEN-FABRIC MECHANICS BY MEANS OF OPTIMAL-CONTROL THEORY PART II: PURE-BENDING PROPERTIES , 1977 .

[13]  R. Postle,et al.  A General Energy Analysis of Fabric Mechanics Using Optimal Control Theory , 1978 .