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Volumn 79, Issue 8, 2009, Pages 702-713

A Topological Study of Textile Structures. Part I: An Introduction to Topological Methods

Author keywords

doubly periodic interlacing structures; enumeration of textile structures; isotopic invariant; knot theory; topology of textiles; torus diagram; unit cell

Indexed keywords

GRAPH THEORY;

EID: 65549085410     PISSN: 00405175     EISSN: None     Source Type: Journal    
DOI: 10.1177/0040517508095600     Document Type: Article
Times cited : (46)

References (47)
  • 1
    • 84948627242 scopus 로고
    • Shape and Structure in Textiles
    • Grosberg, P., Shape and Structure in Textiles, J. Textile Inst. 57, T383-T394 (1966).
    • (1966) J. Textile Inst. , vol.57 , pp. T383-T394
    • Grosberg, P.1
  • 2
    • 5244332043 scopus 로고
    • Study of Fabric Geometry as an Aid to the Understanding of Fabric Properties, Contributions of Science to the Development of the Textile Industry
    • Institut Textile de France and Textile Institute Joint Conference
    • Grosberg, P., Study of Fabric Geometry as an Aid to the Understanding of Fabric Properties, Contributions of Science to the Development of the Textile Industry, Institut Textile de France and Textile Institute Joint Conference, pp.179-190 (1975).
    • (1975) , pp. 179-190
    • Grosberg, P.1
  • 3
    • 65549090253 scopus 로고    scopus 로고
    • New Production Concept for the Manufacture of Woven Fabrics
    • Wahhoud, A., New Production Concept for the Manufacture of Woven Fabrics, Melliand Engl. 86(7-8), E110-E111 (2005).
    • (2005) Melliand Engl. , vol.86 , Issue.7-8 , pp. E110-E111
    • Wahhoud, A.1
  • 4
    • 0026360538 scopus 로고
    • Geometry of Weft-inserted Warp-knitted Fabrics. Part I: Models of the Structures
    • Zhuo, N.J., Leaf, G.A.V., and Harlock, S.C., Geometry of Weft-inserted Warp-knitted Fabrics. Part I: Models of the Structures, J. Textile Inst. 82, 361-371 (1991).
    • (1991) J. Textile Inst. , vol.82 , pp. 361-371
    • Zhuo, N.J.1    Leaf, G.A.V.2    Harlock, S.C.3
  • 6
    • 0029138185 scopus 로고
    • Microstructure/Property Relationships in Three-dimensionally Braided Fiber Composites
    • Wang, Y.-Q., and Wang, A.S.D., Microstructure/Property Relationships in Three-dimensionally Braided Fiber Composites, Compos. Sci. Technol. 53, 213-222 (1995).
    • (1995) Compos. Sci. Technol. , vol.53 , pp. 213-222
    • Wang, Y.-Q.1    Wang, A.S.D.2
  • 7
    • 0031229418 scopus 로고    scopus 로고
    • Topology of Three-dimensionally Braided Fabrics Using Pultruded Rods as Axial Reinforcements
    • Kuo, W.-S., Topology of Three-dimensionally Braided Fabrics Using Pultruded Rods as Axial Reinforcements, Textile Res. J. 67(9), 623-634 (1997).
    • (1997) Textile Res. J. , vol.67 , Issue.9 , pp. 623-634
    • Kuo, W.-S.1
  • 8
    • 0013360666 scopus 로고    scopus 로고
    • The Art of Knitted Fabrics, Realistic & Physically Based Modelling of Knitted Patterns
    • Meissner, M., and Eberhardt, B., The Art of Knitted Fabrics, Realistic & Physically Based Modelling of Knitted Patterns, Comput. Graph. Forum 17(3), 355-362 (1998).
    • (1998) Comput. Graph. Forum , vol.17 , Issue.3 , pp. 355-362
    • Meissner, M.1    Eberhardt, B.2
  • 15
    • 65549139045 scopus 로고
    • Topological Studies of Textiles II. Applications and Examples
    • Liebscher, U., and Weber, M., Topological Studies of Textiles II. Applications and Examples, Textiltechnik 30(3), 176-178 (1980).
    • (1980) Textiltechnik , vol.30 , Issue.3 , pp. 176-178
    • Liebscher, U.1    Weber, M.2
  • 16
    • 0029368255 scopus 로고
    • A Knitting Pattern Recognition and Stitch Symbol Generating System for Knit Designing
    • Miyazaki, T., Shimajiri, Y., Yamada, M., Seki, H., and Itoh, H., A Knitting Pattern Recognition and Stitch Symbol Generating System for Knit Designing, Comput. Ind. Eng. 29(1-4), 669-673 (1995).
    • (1995) Comput. Ind. Eng. , vol.29 , Issue.1-4 , pp. 669-673
    • Miyazaki, T.1    Shimajiri, Y.2    Yamada, M.3    Seki, H.4    Itoh, H.5
  • 17
    • 65549089801 scopus 로고    scopus 로고
    • Processing for Knitting Patterns Using a Representation Method for 3D String Diagrams
    • Itoh, Y., Yamada, M., Miyazaki, T., Seki, H., and Itoh, H., Processing for Knitting Patterns Using a Representation Method for 3D String Diagrams, Trans. IPSJ 37, 249-258 (1996).
    • (1996) Trans. IPSJ , vol.37 , pp. 249-258
    • Itoh, Y.1    Yamada, M.2    Miyazaki, T.3    Seki, H.4    Itoh, H.5
  • 18
    • 65549087701 scopus 로고    scopus 로고
    • A Technique for Representing Cloth Shapes and Generating 3-Dimensional Knitting Shapes
    • Funahashi, T., Yamada, M., Seki, H., and Itoh, H., A Technique for Representing Cloth Shapes and Generating 3-Dimensional Knitting Shapes, Forma 14, 239-248 (1999).
    • (1999) Forma , vol.14 , pp. 239-248
    • Funahashi, T.1    Yamada, M.2    Seki, H.3    Itoh, H.4
  • 19
    • 0343613112 scopus 로고
    • When a Fabric Hangs Together
    • Clapham, C.R.J., When a Fabric Hangs Together, Bull. London Math. Soc. 12, 161-164 (1980).
    • (1980) Bull. London Math. Soc. , vol.12 , pp. 161-164
    • Clapham, C.R.J.1
  • 20
    • 0034033540 scopus 로고    scopus 로고
    • Enumeration and Identification by Elimination of Weave Families of Given Repeat Size
    • Dowson, R.M., Enumeration and Identification by Elimination of Weave Families of Given Repeat Size, Textile Res. J. 70, 304-310 (2000).
    • (2000) Textile Res. J. , vol.70 , pp. 304-310
    • Dowson, R.M.1
  • 21
    • 3042607045 scopus 로고
    • Dover Publications Inc., New York, USA
    • Oelsner, G.H., “A Handbook of Weaves,” Dover Publications Inc., New York, USA (1952).
    • (1952) A Handbook of Weaves
    • Oelsner, G.H.1
  • 25
    • 0014883857 scopus 로고
    • Preliminary Investigations of Feasibility of Weaving Triaxial Fabrics
    • Dow, N.F., and Tranfield, G., Preliminary Investigations of Feasibility of Weaving Triaxial Fabrics, Textile Res. J. 40, 986-998 (1970).
    • (1970) Textile Res. J. , vol.40 , pp. 986-998
    • Dow, N.F.1    Tranfield, G.2
  • 26
    • 0003462032 scopus 로고
    • (2nd Edn.), World Scientific, London, UK
    • Kauffman, L.H., “Knots and Physics,” (2nd Edn.), World Scientific, London, UK (1993).
    • (1993) Knots and Physics
    • Kauffman, L.H.1
  • 27
    • 0025136064 scopus 로고
    • Stitch-bonding Technology for the Production of Innovative Composites
    • Zeisberg, P., Stitch-bonding Technology for the Production of Innovative Composites, Melliand Textilber. 71(11), 872-874 (1990).
    • (1990) Melliand Textilber. , vol.71 , Issue.11 , pp. 872-874
    • Zeisberg, P.1
  • 31
    • 0029169037 scopus 로고
    • Textile Terms and Definitions
    • Daniels, P. N. (10th Edn.), The Textile Institute, Manchester, UK
    • “Textile Terms and Definitions,” McIntyre, J. E., and Daniels, P. N., Eds., (10th Edn.), The Textile Institute, Manchester, UK (1995).
    • (1995) Eds.
    • McIntyre, J.E.1
  • 32
    • 0025117235 scopus 로고
    • Forming Rigid Fibre Assemblies: the Interaction of Textile Technology and Composite Engineering
    • Hearle, J.W.S., and Du, G.W., Forming Rigid Fibre Assemblies: the Interaction of Textile Technology and Composite Engineering, J. Textile Inst. 81, 360-383 (1990).
    • (1990) J. Textile Inst. , vol.81 , pp. 360-383
    • Hearle, J.W.S.1    Du, G.W.2
  • 33
    • 0029676292 scopus 로고    scopus 로고
    • Fabric Forming Process: Distinguishing Between 2D-weaving, 3D-weaving and Unspecified Non-interlacing Process
    • Khokar, N., 3D Fabric Forming Process: Distinguishing Between 2D-weaving, 3D-weaving and Unspecified Non-interlacing Process, J. Textile Inst. 87(Part I), 97-106 (1996).
    • (1996) J. Textile Inst. , vol.87 , pp. 97-106
    • Khokar, N.1
  • 34
    • 0003938726 scopus 로고
    • Textile Structural Composites
    • Ko, F. K. Elsevier, Amsterdam, Netherlands
    • “Textile Structural Composites,” Chou, T.-W., and Ko, F. K., Eds., Elsevier, Amsterdam, Netherlands (1989).
    • (1989) Eds.
    • Chou, T.-W.1
  • 35
    • 0018705163 scopus 로고
    • An Analysis of Compound Weaves
    • Newton, A., and Sarkar, B.P., An Analysis of Compound Weaves, J. Textile Inst. 70, 427-438 (1979).
    • (1979) J. Textile Inst. , vol.70 , pp. 427-438
    • Newton, A.1    Sarkar, B.P.2
  • 37
    • 0004792874 scopus 로고    scopus 로고
    • Algorithms for Computer-aided Construction of Double Weaves: Application of the Kronecker Product
    • Ping, G., and Lixin, D., Algorithms for Computer-aided Construction of Double Weaves: Application of the Kronecker Product, J. Textile Inst. 90(1), 158-176 (1999).
    • (1999) J. Textile Inst. , vol.90 , Issue.1 , pp. 158-176
    • Ping, G.1    Lixin, D.2
  • 38
    • 32944462585 scopus 로고    scopus 로고
    • A Systematic Approach Towards the Design of a Multi-layered Fabric: Modelling the Structure of a Multi-layered Fabric
    • Koltisheva, N.G., and Grishanov, S.A., A Systematic Approach Towards the Design of a Multi-layered Fabric: Modelling the Structure of a Multi-layered Fabric, J. Textile Inst. 97(1), 57-69 (2006).
    • (2006) J. Textile Inst. , vol.97 , Issue.1 , pp. 57-69
    • Koltisheva, N.G.1    Grishanov, S.A.2
  • 39
    • 0029676034 scopus 로고    scopus 로고
    • A Syntactic Method of Description and Analysis of Weft Knitted Fabric Structure
    • Grishanov, S.A., Cassidy, T., and Spencer, D.J., A Syntactic Method of Description and Analysis of Weft Knitted Fabric Structure, Knitting Int. 1227, 60-62 (1996).
    • (1996) Knitting Int. , vol.1227 , pp. 60-62
    • Grishanov, S.A.1    Cassidy, T.2    Spencer, D.J.3
  • 41
    • 33744993213 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge, UK
    • Cromwell, P.R., “Knots and Links,” Cambridge University Press, Cambridge, UK (2004).
    • (2004) Knots and Links
    • Cromwell, P.R.1
  • 45
    • 53749105811 scopus 로고    scopus 로고
    • The Enumeration and Classification of Knots and Links
    • Menasco, W., and Thistlethwaite, M. Eds., Elsevier, Amsterdam, Netherlands
    • Hoste, J., The Enumeration and Classification of Knots and Links, In “Handbook of Knot Theory,” Menasco, W., and Thistlethwaite, M., Eds., Elsevier, Amsterdam, Netherlands, pp. 209-232 (2005).
    • (2005) Handbook of Knot Theory , pp. 209-232
    • Hoste, J.1
  • 46
    • 34547332206 scopus 로고    scopus 로고
    • Kauffman-type Polynomial Invariants for Doubly Periodic Structures
    • Grishanov, S.A., Meshkov, V.R., and Omel'chenko, A.V., Kauffman-type Polynomial Invariants for Doubly Periodic Structures, J. Knot Theory Ramifications 16(6), 779-788 (2007).
    • (2007) J. Knot Theory Ramifications , vol.16 , Issue.6 , pp. 779-788
    • Grishanov, S.A.1    Meshkov, V.R.2    Omel'chenko, A.V.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.