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<p>Methodology for analyzing the stress-strain state of the composite plate elements of structures weakened by the double-periodic system of the openings is developed. The determination of stresses and effective elastic constants is carried out using the singular integral equations. The kernels of the equations presented in a simple form are constructed using Lekhnitski’s method and Weierstrass quasi-periodic functions. The stress state of the plates with elliptical and rectangular openings with rounded corners in the main rectangular and parallelogram shaped periods is analyzed. The effective elastic constants for the plates with the main periods and openings of various shapes made of orthotropic materials or materials with general anisotropy are calculated.</p>

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Stress Analysis and Determination of Effective Elastic Constants for Composite Plates with Double-Periodic Systems of Openings

  • 期刊论文

  • 发表日期：

    2025年7月1日

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  • M. O. Maksymovych,
  • I. V. Kuzio,
  • O. V. Maksymovych

摘要

Methodology for analyzing the stress-strain state of the composite plate elements of structures weakened by the double-periodic system of the openings is developed. The determination of stresses and effective elastic constants is carried out using the singular integral equations. The kernels of the equations presented in a simple form are constructed using Lekhnitski’s method and Weierstrass quasi-periodic functions. The stress state of the plates with elliptical and rectangular openings with rounded corners in the main rectangular and parallelogram shaped periods is analyzed. The effective elastic constants for the plates with the main periods and openings of various shapes made of orthotropic materials or materials with general anisotropy are calculated.