Results obtained using the three-dimensional linearized theory of stability of deformable bodies (TLTSDB) and the new so-called finite-fiber model for fibrous and laminated composites are reviewed and compared with the results previously obtained using the well-known infinite-fiber model. The article consists of two parts.
The first part is a short historical sketch of experimental and theoretical studies into the following two problems: (i) microbuckling of composites and (ii) failure or fracture of composites when microbuckling is the initial stage of the process. The applicability of the infinite-an d finite-fiber models to various composites is confirmed by analyzing experimental results obtained by various authors. The second part is a brief review of theoretical results obtained using the TLTSDB and the finite-fiber model for fibrous and laminated composites. The buckling problem is solved for the following cases: one and two short fibers, a periodic row of short fibers, and short fibers near a free boundary. The influence of mechanical and geometric parameters of the composite components on the critical strain and buckling of reinforcement is analyzed. The results for the finite-fiber model were obtained by solving a plane problem and considering the prospects for solving spatial problems, which is very important
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Translated from Prikladnaya Mekhanika, Vol. 52, No. 1, pp. 3–77, January–February, 2016.
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Guz, A.N., Dekret, V.A. Finite-Fiber Model in the Three-Dimensional Theory of Stability of Composites (Review). Int Appl Mech 52, 1–48 (2016). https://doi.org/10.1007/s10778-016-0730-1
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DOI: https://doi.org/10.1007/s10778-016-0730-1
Keywords
- composite materials
- instability
- internal structure
- compression
- infinite-fiber model
- finite-fiber model
- failure or fracture
- approximate theories of stability of thin-walled plates and rods
- three-dimensional linearized theory of stability of deformable bodies
- fibrous and laminated composites
- critical strain
- finite-difference method
- reference scheme
- discrete models
- one and two short fibers
- periodic row of short fibers
- near-surface short fibers