Efficient multiscale analysis method for the compressive progressive damage of 3D braided composites based on FFT
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O R I G I NA L PA P E R
Bing Wang · Guodong Fang Songhe Meng
· Jun Liang · Shuo Liu ·
Efficient multiscale analysis method for the compressive progressive damage of 3D braided composites based on FFT
Received: 18 June 2020 / Revised: 11 August 2020 / Accepted: 22 August 2020 © Springer-Verlag GmbH Austria, part of Springer Nature 2020
Abstract A new efficient multiscale simulation method based on fast Fourier transform (FFT) is developed to analyze the nonlinear behaviors of three-dimensional four-directional braided composites under compressive loading which is the key concern for design in the engineering application. The braid yarns within the composites are represented by the microscale unidirectional representative volume element. Both in microscale and mesoscale, FFT method combined with damage theory is used to simulate the progressive damage and failure of the composites under external loadings, in which the interface between the fiber and matrix and fiber compression instability on the microscale and the shear nonlinearity of the braid yarns under compressive loading on the mesoscale are taken into account comprehensively in the computation model. It is verified that the compressive mechanical properties of the braided composites obtained by the efficient multiscale method are in better agreement with the experimental results.
1 Introduction Three-dimensional (3D) braided composites have been always attracting the attention of researchers for engineering applications due to their excellent mechanical properties and complex failure mechanisms [1–3]. It should be noted that the compression failure is regarded as a crucial factor for the design in actual engineering application due to the complex geometry structures and material nonlinearity. Many efforts have been devoted to develop numerical methods to understand the damage mechanisms and predict the strength of the braided composites under compressive loading. Finite element method (FEM) is generally used to investigate the mechanical behaviors of composites under external loads based on a representative volume element (RVE) model [4–7]. However, the stiffness and strength properties of braid yarns within the braided composites are obtained by an empirical formula, which strongly relies on the selection of empirical parameters. In addition, it is not sufficient and accurate to only study the mechanical behaviors in one scale because of the intrinsic multiscale characteristics of 3D braided composites. Some multiscale analysis models have been developed to capture the mechanical behaviors of material in the micro- and mesoscales, which requires precise definition of different scales of the materials systems and transforms information including top-down modeling parameters inputs and bottom-up mechanical properties outputs. Feyel [8] and Özdemir et al. [9] developed a two-scale finite element method (FE2) to analyze the B. Wang · G. Fang (B)· S. Liu · S. Meng Science and Technology on Advanced Composites in Special Environments Laboratory, Harbin Insti
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