Browsing by Subject "Frictional contact"

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Open Access
Isogeometric analysis for numerical plate testing of dry woven fabrics involving frictional contact at meso-scale
(Springer, 2019-01) Temizer, İlker; Nishi, S.; Terada, K.
With a view to application to meso–macro decoupled two-scale draping simulations of dry woven fabrics, the method of isogeometric analysis (IGA) is applied to the numerical plate testing (NPT) for their periodic unit structures involving frictional contact at meso-scale. The meso-structure having periodicity only in in-plane directions is identified with a representative volume element to characterize the macroscopic mechanical behavior that reflects the interfacial frictional contact phenomenon between fiber bundles. NURBS basis functions are utilized to accurately solve macro-scale frictional contact problems and the mortar-based knot-to-surface algorithms are employed to evaluate the contact- and friction-related variables. A weaving process is simulated as a preliminary analysis to obtain the initial state of an in-plane unit cell that is subjected to bending of fiber bundles contacting with each other. Several numerical examples are presented to demonstrate the performance and capability of the proposed method of IGA-based NPT for characterizing the macroscopic structural responses of dry woven fabrics that can be substituted by macroscopic ‘inelastic material’ behaviors.
Open Access
Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS
(2012) Temizer, I.; Wriggers, P.; Hughes, T. J. R.
A three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS is presented in the finite deformation regime. Within a setting where the NURBS discretization of the contact surface is inherited directly from the NURBS discretization of the volume, the contact integrals are evaluated through a mortar approach where the geometrical and frictional contact constraints are treated through a projection to control point quantities. The formulation delivers a non-negative pressure distribution and minimally oscillatory local contact interactions with respect to alternative Lagrange discretizations independent of the discretization order. These enable the achievement of improved smoothness in global contact forces and moments through higher-order geometrical descriptions. It is concluded that the presented mortar-based approach serves as a common basis for treating isogeometric contact problems with varying orders of discretization throughout the contact surface and the volume. © 2011 Elsevier B.V.