Buckling and Post-Buckling Behavior of the Delaminated Composite Plates

Abstract

Multilayer composite materials, having high specific strength and rigidity, are sensitive to interlayer defects. The problem of interlayer laminations in a composite plate subjected to a plane compressive load is studied using a new analytical structure previously developed by the authors. Elastic characteristics of a multilayer package of thin lamination, including the elastic characteristics of separate layers, depending on modulus of elasticity, shear modulus, Poisson’s ratio, and angle of orientation of fibers of the unidirectional layer, are determined. Ratios are obtained for the unidirectional composite material that reflect the contribution of each component (fiber, matrix) in proportion to its volume fraction, according to the so-called “mixture rule”. This work examines the behavior after the loss of stability of an elliptical defect in a composite plate. Only the local bulging of the delamination type defect was considered. The difference between this work and others lies in the fact that the application of the developed method, based on the energy approach, makes it possible to obtain explicit analytical expressions for quantities characterizing the critical load and describing the supercritical behavior of the detached part. The energy method is generalized to the case of analyzing the stability of defects in a non-linear formulation. The value of the critical load was obtained, and the analysis of the supercritical deformation of the defect was made.

Keywords

Stability / Composite materials / Critical load / Impact load / Stiffness characteristics / Defects / Delamination / Nonlinear deformation / Сomputer modeling

Acknowledgments

The work was carried out within the framework of the grant of the Republic of Belarus for the implementation of the strategic academic leadership program “Priority 2030”.

Author Contributions

Conceptualization, L.B. and S.M.; Methodology, V.R. and A.C.; Software, A.I. and A.N.; Validation, L.B. and V.R.; Formal Analysis, S.M. and A.I.; Investigation, A.C. and A.N.; Resources, S.M.; Data Curation, A.C. and A.I.; Writing—Original Draft Preparation, L.B., V.R. and A.C.; Writing—Review & Editing, L.B., V.R., S.M. and A.C.; Visualization, A.N. and A.I.; Supervision, S.M.; Project Administration, L.B.; Funding Acquisition, Not applicable.

Ethics Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

Additional data can be provided upon request.

Funding

This research received no external funding.

Declaration of Competing Interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.Authors Lubov Bokhoeva and Shunqi Mei were employed by Zhejiang Taitan Co., Ltd. The authors declare that this company was not involved in the preparation, writing, and submission of this manuscript.

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