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A finite volume method for deformation analysis of woven fabrics. (English) Zbl 0977.74071
From the summary: This paper presents a finite volume method for the simulation of complex deformations of initially flat woven fabric sheets under self-weight or externally applied loading. The fabric sheet is assumed to undergo large displacements and rotations, but small strains during the deformation. The fabric material is assumed to be linear elastic and orthotropic. The fabric sheet is discretized into many small structured patches called finite volumes (or control volumes), each containing one grid node and several face nodes. The bending and membrane deformations of a typical volume can be defined using the global coordinates of its grid node and surrounding face nodes. The equilibrium equations governing the complex deformations are derived employing the principle of stationary total potential energy. These equations are solved using a single-step full Newton-Raphson method which is found to be capable of predicting the final deformed shape, the only result of interest in a fabric drape analysis.

MSC:
74S10 Finite volume methods applied to problems in solid mechanics
74E30 Composite and mixture properties
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