Multiscale constitutive modeling and numerical simulation of fabric material. (English) Zbl 1119.74535
Summary: A multiscale model for a fabric material is introduced. The model is based on the assumption that on the macroscale the fabric behaves as a continuum membrane, while on the microscale the properties of the microstructure are accounted for by a constitutive law derived by modeling a pair of overlapping crimped yarns as extensible elasticae. A two-scale finite element method is devised to solve selected boundary-value problems.
MSC:
74Q15 | Effective constitutive equations in solid mechanics |
74S05 | Finite element methods applied to problems in solid mechanics |