Isogeometric analysis for numerical plate testing of dry woven fabrics involving frictional contact at meso-scale

Abstract

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. Keywords Isogeometric analysis • Frictional contact • Numerical plate testing • Dry woven fabric • Homogenization 1 Introduction Owing to the superior performance while being lightweight , composite materials typified by fiber-reinforced plastics are widely used in various engineering fields such as aviation and automobile industries. At the same time, as various macroscopic material responses can be achieved according to the mechanical characteristics, distribution morphology and blend ratio of fiber and matrix materials, the concept of computer-aided engineering (CAE) has been introduced in the tailoring process of the macroscopic material properties by designing the micro-structures. The underlying idea B K. Terada

Incorporation of gradient-enhanced microplane damage model into isogeometric analysis

“…Enjoying these noteworthy features, IGA has been applied to various structural analyses with solid and shell elements (Kiendle et al (2009), Benson et al (2010); Liu et al (2020). For example, IGA is of advantage in dealing with frictional contact problems as demonstrated in Lu (2011De Lorenzis et al (2011), Temizer et al (2012; Nishi et al (2019a). Also, it is applied in other interesting areas such as damage/fracture (Verhoosel et al (2011), Borden (2012; , electromagnetics (Buffa et al, 2010), heat transfer (An et al (2018), , multiscale (Matsubara et al (2016) and structural optimization (Seo et al (2010); Dedè et al (2012); Nishi et al (2019b) problems.…”

Static analysis of FG plates using T-splines based isogeometric approach and a refined plate theory

“…IGA has solved many engineering problems, such as solid mechanics, 26,27 fluid mechanics 28 and contact mechanics. 29 The static, [30][31][32] free vibration [33][34][35] and buckling 36,37 analyses of FG plates are also involved.…”

Modeling of hyperelastic bending of fibrous media using second-gradient isogeometric analysis: Weaving and braiding applications

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