Microstructure-based deep-drawing simulation of knitted fabric reinforced thermoplastics by homogenization theory

Takano, Naoki; Ohnishi, Yoshihiro; Zako, Masaru; Nishiyabu, Kazuaki

doi:10.1016/s0020-7683(00)00418-2

Cited by 47 publications

(22 citation statements)

References 21 publications

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“…Once the large strain distribution is obtained in the macroscopic sense, the properties can be predicted numerically based on the microstructural large deformation [12,13] or we can compare with the ultimate strain [11,14] for the design of components. The in-plane shear strain of the composite plate under large deformation must be studied carefully as pointed out in [15].…”

Section: Digital Image-based Measurement Technique Of Large Strain DImentioning

confidence: 99%

Study on large deformation characteristics of knitted fabric reinforced thermoplastic composites at forming temperature by digital image-based strain measurement technique

Takano

Zako

Fujitsu

et al. 2004

Composites Science and Technology

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Section: Digital Image-based Measurement Technique Of Large Strain DImentioning

confidence: 99%

Study on large deformation characteristics of knitted fabric reinforced thermoplastic composites at forming temperature by digital image-based strain measurement technique

Takano

Zako

Fujitsu

et al. 2004

Composites Science and Technology

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“…Micro-mechanical models can be used to describe woven fabrics used for ballistic protection [1], while other models have been developed long before to understand drape shapes of woven fabrics [2] or stiffness and strength of woven fabric composites [3]. Similarly, the mechanical properties of knitted fabrics have been modeled for pure [4] and reinforced textiles [5,6]. Besides these mechanical properties, other parameters have been calculated, such as heat and moisture transfer [7][8][9] or the bagging behavior of wool fabrics [10].…”

Section: Introductionmentioning

confidence: 99%

Micromagnetic Simulation of Fibers and Coatings on Textiles

Ehrmann

Błachowicz

2015

J. Inst. Eng. India Ser. E

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Simulations of mechanical or comfort properties of fibers, yarns and textile fabrics have been developed for a long time. In the course of increasing interest in smart textiles, models for conductive fabrics have also been developed. The magnetic properties of fibers or magnetic coatings, however, are almost exclusively being examined experimentally. This article thus describes different possibilities of micromagnetically modeling magnetic fibers or coatings. It gives an overview of calculation times for different dimensions of magnetic materials, indicating the limits due to available computer performance and shows the influence of these dimensions on the simulated magnetic properties for magnetic coatings on fibers and fabrics.

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“…To reduce this computational cost, various techniques have been devised. These include, for example, the construction of a database with the homogenized properties [7], sensitivity analysis [8], Fast Fourier Transforms [9], and so on. In a previous work, we proposed a homogenization method using characteristic deformation mode superposition [10,11].…”

Section: Introductionmentioning

confidence: 99%

Study of efficient homogenization algorithms for nonlinear problems

2009

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A framework for the homogenization of nonlinear problems is discussed with respect to block LU factorization of the micro-macro coupled equation, and based on the relation between the characteristic deformation and the Schur-Complement as the homogenized tangent stiffness. In addition, a couple of approximation methods are introduced to reduce the computational cost, i.e., a simple scheme to reuse the old characteristic deformation and a sophisticated method based on the mode-superposition method developed by our group. Note that these approximation methods satisfy the equilibrium conditions in both scales. Then, using a simplified FE model, the conventional algorithm, a relative algorithm originating from the block LU factorization, and the above-mentioned algorithms with the approximated Schur-Complement are compared and discussed. Finally, a large-scale heart simulation using parallel computation is presented, based on the proposed method.

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Microstructure-based deep-drawing simulation of knitted fabric reinforced thermoplastics by homogenization theory

Cited by 47 publications

References 21 publications

Study on large deformation characteristics of knitted fabric reinforced thermoplastic composites at forming temperature by digital image-based strain measurement technique

Study on large deformation characteristics of knitted fabric reinforced thermoplastic composites at forming temperature by digital image-based strain measurement technique

Micromagnetic Simulation of Fibers and Coatings on Textiles

Study of efficient homogenization algorithms for nonlinear problems

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