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Bohuslav Neck, TU Liberec, Dept. of Textile Structures
AN INTRODUCTION TO THE MODELS SPECIFIC TO TEXTILES
AN INTRODUCTION TOAN INTRODUCTION TO
THE MODELSTHE MODELS
SPECIFIC TO TEXTILESSPECIFIC TO TEXTILES
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Bohuslav Neck, TU Liberec, Dept. of Textile Structures
AN INTRODUCTION TO THE MODELS SPECIFIC TO TEXTILES
AMODELis usually an object of different nature, which behaves to
a certain degree and to a given sense in the samemanner as the original.
CLASSIFICATION OF MODELS(A lot of different concepts are available in the literatures.)
According to the substance of material:
material model magnified or reduced dummy of theoriginal ideal modelideal model mathematical, symbolical, and other
analogical models
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Bohuslav Neck, TU Liberec, Dept. of Textile Structures
AN INTRODUCTION TO THE MODELS SPECIFIC TO TEXTILES
According to the mutual allocation of elements
between the original and the model:
structural model It is identical with the original interms of its internal formation as well as properties.
functional model It is identical with the original in
terms of properties only. (A typical example: Statisticalmodels of experiments)
According to the possibility to clarify the original:
explanatory model (interpreting) It explains theoriginal in terms of cause and effect relationship.
descriptive model It simply describes the properties
of the original only.
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Bohuslav Neck, TU Liberec, Dept. of Textile Structures
AN INTRODUCTION TO THE MODELS SPECIFIC TO TEXTILES
According to the depth of knowledge on the original:
based on (random) observations
based on experiments (systematic preparation of theoriginal materials and systematic observations)
hypothetical based on hypotheses with differentdegree of verification
theoretical fully verified interpretation about theoriginal in the context of the present time
Notes:1. Further, we will speak about the ideal, structural,explanatory, and theoretical models.2. The models used in textile sciences have some
special problems following the specific structural
characters of the fibrous objects.
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Bohuslav Neck, TU Liberec, Dept. of Textile Structures
AN INTRODUCTION TO THE MODELS SPECIFIC TO TEXTILES
SOME SPECIAL PROBLEMS
Problem of continuum:1. The interpretation of objects having very high numberof particles can be based on the idea of continuum. It ispossible to apply the physical and mathematical toolrelated to continuum (infinitesimal calculus, etc.)
2. The interpretation of objects having only a few particles(and often a definite structural character) can be based onthe idea from particle to particle (methods of finitemathematics, etc.)
3. Number of particles (fibers, yarns) in textile objects aresomething in-between (no special calculus is existing forthem) and their systems have often significantly randomcharacter. Therefore, usually a combination of ideasmentioned before are necessary.
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Bohuslav Neck, TU Liberec, Dept. of Textile Structures
AN INTRODUCTION TO THE MODELS SPECIFIC TO TEXTILES
Problem of deterministic or probabilistic behavior:
Usually both of these behaviors are existing together in
textiles. We choose first or second or a combination ofboth according to the actual problem. From this standpointwe distinguishdeterministic models,probabilistic models, (Dont confuse with thestatistical models, which are not explanatory models!), andhybrid models (a combination of the deterministic and
the probabilistic models)
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