Predictive Geometrical Modeling of Crimp Interchange and Width Collapse during Wet Finishing
Geometrical modeling of crimp interchange predicts width collapse during wet finishing by balancing yarn swelling against mechanical jamming boundaries.
Olofsson Model
Viscoelastic Formulation
A theoretical framework in textile mechanics predicts the force-deformation relationship of compressible yarn networks under mechanical pressure. The olofsson model incorporates nonlinear spring and dashpot elements to simulate both immediate elastic recovery and time-dependent plastic deformation in fibrous masses. Researchers use this formulation to calculate fabric bulk compressibility during mechanical pressing and garment wear.
Mathematical predictions align closely with experimental compression curves generated by specialized fabric tactile analyzers.
Mathematical Mechanics
Structural equations within the model represent fibre contact points as deformable friction junctions that shift under load. Incorporating the olofsson model into fabric simulation software allows engineers to calculate energy loss during repeated loading and unloading cycles. Friction between crossing fibres causes hysteresis, where compressional recovery curves lag behind initial loading paths.
Higher fibre crimp increases initial structural bulk while altering energy absorption during mechanical deformation.
Recovery Behavior
Fabric resilience under pressure dictates how well lofty structures regain original thickness after compression. The mathematical equations model how internal friction delays structural spring-back when applied loads are released. Low recovery values signal potential fabric matting and loss of thermal insulation over extended usage.
Compression Application
Predicting compressional response aids in designing bulky insulation waddings and resilient carpet piles.