Mesoscale Solid-beam Mixed Mechanical Model of Needle-punched Carbon/Carbon Composite

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Mesoscale Solid‑beam Mixed Mechanical Model of Needle‑punched Carbon/Carbon Composite Meng Han1 Received: 22 July 2020 / Accepted: 17 November 2020 © Springer Nature B.V. 2020

Abstract Needle-punched carbon/carbon composite is widely used in re-entry aerospace projects and braking system, for the favorable mechanical properties at high temperature. In this study, a mesoscale mechanical model was investigated, in which a proposed circular arc beam element was embedded into solid element, and the displacements of beam element simulated for fiber bundles were solved through displacements of solid element modeled for matrix. Uniaxial tension properties and progressive damages of this composite were predicted, then the simulated model was verified by experiment. Keywords  Mixed element · Mesoscale mechanical model · Needle punched carbon/carbon composite · Progressive damage

1 Introduction Needle-punched carbon/carbon (NP C/C) composites have been applied in the fields of aerospace engineering and braking system, thanks to their low cost and high effect on improved inter-laminar properties. Numerical method, especially the finite element method (FEM), is a common method in analyzing mechanical performance on structural components of composites [1]. But it is not easy to evolve the characteristic of NP C/Cs with FEM, because the natural defects and spacial microstructures are complex to be simulated. In the existing research, the traditional FEM is used mostly, and thousands of elements with different constant material properties are meshed to model the pyrocarbon, fibre bundles and defects in a representative volume element (RVE) [2–7]. Parts of the fibre bundles are punched aside and deflected within punched regions, so it is necessary and time-costly to mesh elements more densely in these punched regions of RVE, in order to assign different material properties for fiber bundles and matrix. Some approaches were presented to solve the time-costly problems: four typical representative elements were established to predict the effective properties by volume average method [8]; the stress distribution was obtained by combining the finite difference method with the shear-lag model [9]; five typical unit cells were built to reflect the mutual alignment * Meng Han [email protected] 1



Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, PR China

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Applied Composite Materials

relationship of squeezed and deflected fibre tows in order to predict the mechanical behavior [10], microscopic RVE model was reconstructed from micro-CT images to reveal the failure mechanisms [11]. Time costs of above traditional FEM methods are too high and limit their applications to complex spacial microstructures with various defects. Some novel approaches were proposed to solve this problem. A mesoscale RVE model combined with circular arc beam elements and extended spring elements was presented to characterize fiber bundles with punching defeats and pyrocarbon matrix [12]; a shell element em