Abstract

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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