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Abstract <p>The problem of determining the limiting load under tension of composite rods with different fiber placement is considered in this paper. The methodology is proposed that is based on the use of a nonlinear elastic material model, and that is an alternative to the classical approaches to determining the limiting load. It is assumed that the ‘‘stress–strain’’ diagram is smooth, but it has an extreme. In this case, the descending branch of the diagram has a horizontal asymptote. This allows avoiding the occurrence of stress concentration and always obtaining the limiting load. In this case, no strength criteria are used. The proposed approach is tested numerically by the finite element method (FEM). Two approaches are used to solve the nonlinear elastic problem. The first is based on the method of successive additional loadings, the second—on the method of successive approximations.</p>

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Methodology for Solving the Problem of Determining the Limiting Load of Flat Composite Rods with Different Fiber Placement

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • R. A. Kayumov,
  • I. Z. Mukhamedova,
  • A. M. Shakirova

摘要

Abstract

The problem of determining the limiting load under tension of composite rods with different fiber placement is considered in this paper. The methodology is proposed that is based on the use of a nonlinear elastic material model, and that is an alternative to the classical approaches to determining the limiting load. It is assumed that the ‘‘stress–strain’’ diagram is smooth, but it has an extreme. In this case, the descending branch of the diagram has a horizontal asymptote. This allows avoiding the occurrence of stress concentration and always obtaining the limiting load. In this case, no strength criteria are used. The proposed approach is tested numerically by the finite element method (FEM). Two approaches are used to solve the nonlinear elastic problem. The first is based on the method of successive additional loadings, the second—on the method of successive approximations.