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- W2001287058 abstract "This paper presents a novel mechanism for the description of fibre reorientation based on the decomposition of the stretch tensor according to a given material’s intrinsic constitutive properties. This approach avoids the necessity for fibre directors, structural tensors or specialised model such as the ideal fibre reinforced model, which are commonly applied to the analysis of fibre kinematics in the finite deformation of fibrous media for biomechanical problems. The proposed approach uses Intrinsic‐Field Tensors (IFTs) that build upon the linear orthotropic theory presented in a previous paper entitled Strongly orthotropic continuum mechanics and finite element treatment. The intrinsic decomposition of the stretch tensor therein provides superior capacity to represent the intermediary kinematics driven by finite orthotropic ratios, where the benefits are predominantly expressed in cases of large deformation as is typical in the biomechanical studies. Satisfaction of requirements such as Material Frame‐Indifference (MFI) and Euclidean objectivity are demonstrated here—these factors being necessary for the proposed IFTs to be valid tensorial quantities. The resultant tensors, initially for the simplest case of linear elasticity, are able to describe the same fibre reorientation as would the contemporary approaches such as with use of structural tensors and the like, while additionally being capable of showing results intermediary to classical isotropy and the infinitely orthotropic representations. This intermediary case is previously unreported." @default.
- W2001287058 created "2016-06-24" @default.
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- W2001287058 date "2010-01-01" @default.
- W2001287058 modified "2023-10-12" @default.
- W2001287058 title "Intrinsic Decomposition of The Stretch Tensor for Fibrous Media" @default.
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- W2001287058 doi "https://doi.org/10.1063/1.3452237" @default.
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