ESTIMATED EVALUATION OF THE SOFTENING KINETICS OF LAMINATES BASED ON STOCHASTIC MICRO-MESO MODELING

Authors

  • A. A. Shabley South Ural State University, Chelyabinsk
  • S. B. Sapozhnikov South Ural State University, Chelyabinsk
  • L. V. Shipulin South Ural State University, Chelyabinsk

Keywords:

fiberglass, microcracks, softening, finite element method, stochastic micro- and mesomechanics, laminate

Abstract

Composite materials are widely used in modernindustry (aircraft and automobile manufacturing, construction, etc.). Present-day high-strength and lightweight composite materials, such as glass, carbon or organoplastics, exhibit elastic and strength anisotropy and deform nonlinearly at high stresses. Also, such materials have relatively small failure strain in comparison with metals, and they are significantly more expensive than steel and aluminium alloys. The most important task in the design of structures made of composite materials is the minimization of its mass without loss of strength properties. 

We developed a C # code which allows us to create finite element models of a unidirectional
fiber-reinforced composite material with randomly arranged straight-line fibers. By specifying
the input parameters (the dimensions of layers and fibers in the 90° layer) it is possible to simulate a composite material with [0°/90°/0°] laying.The software package produces a text file with the *.lgw extension, which is used in further numerical calculations.
In the second part of the article, we presented the method for modeling a unidirectional fiberreinforced composite with randomly arranged rectilinear fibers at the micro- and meso-level. These two approaches were compared on the problemof the composite panel stretching. The selection of the mesomodel mechanical characteristics was based on data of the micro-level model. In the mesomodel, the damage accumulation of middle layer (90° layer) was simulated using the Stochastic Failure criterion (random Mott scatter of strength properties). The calculated curves and data, obtained in micro- and mesomodels, correlate well with each other.

Author Biographies

A. A. Shabley, South Ural State University, Chelyabinsk

программист отдела поддержки и обучения пользователей
лаборатории суперкомпьютерного моделирования

S. B. Sapozhnikov, South Ural State University, Chelyabinsk

доктор технических наук, профессор, заведующий кафед-рой«Техническая  механика»

L. V. Shipulin, South Ural State University, Chelyabinsk

кандидат технических наук, доцент кафедры«Технология
автоматизированного машиностроения»

References

Kaddour A.S., Hinton M.J., Smith P.A., Li S. The Background to the Third World-Wide Failure Exercise. Journal of Composite Materials, 2013, vol. 47, no. 20–21, pp. 2417–2426.

Pinho S.T., Vyas G.M., Robinson P. Response and Damage Propagation of Polymer-Matrix Fibre-Reinforced Composites: Predictions for WWFE-III (Part A). Journal of Composite Materials, 2013, vol. 47, no. 20–21, pp. 2595–2612.

Kashtalyan M., Soutis C. Predicting Residual Stiffness of Cracked Composite Laminates Subjected to Multi-Axial Inplane Loading. Journal of Composite Materials, 2013, vol. 47, no. 20–21, pp. 2513–2524.

Forghani A., Zobeiry N., Poursartip A., et al. A Structural Modelling Framework for Prediction of Damage Development and Failure of Composite Laminates. Journal of Composite Materials, 2013,

vol. 47, no. 20–21, pp. 2553–2573.

Laurin F., Carrere N., Huchette C., et al. A Multiscale Hybrid Damage and Failure Approach for Strength Predictions of Composite Structures. Journal of Composite Materials, 2013, vol. 47, iss. 20–21, pp. 2713–2747.

Daghia F., Ladev‘eze P. Identification and Validation of an Enhanced Mesomodel for Laminated Composites within the WWFE-III. Journal of Composite Materials, 2013, vol. 47, no. 20–21, pp. 2675–2693.

Flatscher Th., Schuecker C., Pettermann H.E. A Constitutive Ply Model Predicting Stiffness Degradation as Well as Inelastic Strain Accumulation and Its Application to WWFE-III (Part A). Journal

of Composite Materials, 2013, vol. 47, no. 20–21, pp. 2575–2593.

Sapozhnikov S.B., Cheremnykh S.I. The Strength of FRP under a Complex Loading. Journal of Composite Materials, 2013, vol. 47, no. 20–21, pp. 2525–2552.

Pinho S.T., Vyas G.M., Robinson P. Response and Damage Propagation of Polymer-Matrix Fibre-Reinforced Composites: Predictions for WWFE-III (Part A). Journal of Composite Materials, 2013, vol. 47, no. 20–21, pp. 2595–2612.

Kaddour A.S., Hinton M.J., Smith P.A., Li S. A Comparison between the Predictive Capability of Matrix Cracking, Damage and Failure Criteria for Fibre Reinforced Composite Laminates: Part A of the Third World-Wide Failure Exercise. Journal of Composite Materials, 2013, vol. 47, iss. 20–21,

pp. 2749–2779.

Berryman J.G. Random Close Packing of Hard Spheres and Disks. Physical Review A, 1983, vol. 27, no. 2, pp. 1053–1061

Clarke A.S., Wiley J.D. Numerical Simulation of the Dense Random Packing of a Binary Mixture of Hard Spheres: Amorphous Metals. Physical Review B, 1987, vol. 35, no. 14, pp. 7350–7357.

He D., Ekere N.N., Cai L. Computer Simulation of Random Packing of Unequal Particles. Physical Review E, 1999, vol. 60, no. 6, pp. 7098–7104.

Sanei S.H.R., Barsotti E.J., Leonhardt D., Fertig R.S. Characterization, Synthetic Generation, and Statistical Equivalence ofComposite Microstructures. Journal of Composite Materials, 2017, vol. 51, no. 13, pp. 1817–1829.

Wang W., Dai Y., Zhang C., Gao X., Zhao M. Micromechanical Modeling of Fiber-Reinforced Composites with Statistically Equivalent Random Fiber Distribution. Materials, 2016, vol. 9, no. 8, article number 624.

Аношкин А.Н. Микромеханический анализ неупругого деформирования однонаправлен-ных волокнистых композитов при многоосном нагружении и сдвиге. Механика композит. мате-риалов. 2003 Т. 39, №5. С. 575–586. [Anoshkin A.N. Micromechanical Analysis of Inelastic Deformation of Unidirectional Fibrous Composites under Multiaxial and Shear Loading. Mechanics of Composite Materials, 2003, vol. 39. no. 5, pp. 377–386.]

Yu H., Longana M.L., Jalalvand M., Wisnom M.R., Potter K.D. Pseudo-Ductility in Intermingled Carbon/Glass Hybrid Composites withHighly Aligned Discontinuous Fibres. Composites: Part A, 2015, vol. 73, pp. 35–44.

Костенецкий П.С., Сафонов А.Ю. Суперкомпьютерный комплекс ЮУрГУ. Параллель-ные вычислительные технологии(ПаВТ’2016): сб. ст. 10-й Междунар. науч. конф. (28 марта– 1 апреля2016 г.). Архангельск, 2016. С. 561–573. [Kostenetskiy P.S., Safonov A.Y. SUSU Supercomputer Resources. Proceedings of the 10th AnnualInternational Scientific Conference on Parallel Computing Technologies (PCT 2016). vol. 1576, Arkhangelsk, CEUR Workshop Proceedings, 2016, pp. 561–573.]

Published

2018-01-11

Issue

Section

Численные методы моделирования