<p>This study presents an analytical solution for an exponentially-graded transversely isotropic half-space reinforced by a thin plate, subjected to frictionless contact conditions and buried static point loads. The adopted material model captures the behavior of anisotropic and functionally graded media with improved accuracy compared to the assumption of transverse isotropy. Expressions for displacement field are derived, integrating material anisotropy, functional gradation, and interface conditions. The results show that increasing the thin plate stiffness significantly reduces the normal displacement of the half-space, with displacement nearly vanishing under extreme conditions. Additionally, variations in material gradation initially lead to a substantial reduction in displacement, while specific reinforcement conditions may result in localized increases. These findings provide insights into the mechanical behavior of surface-reinforced anisotropic media and multi-layered structures in applications such as protective coatings, pavements, and ground reinforcements.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Mindlin’s Problem for a Surface-Stiffened Exponentially-Graded Transversely Isotropic Half-Space

  • Parham Samea,
  • S. Farzad Ahmadi

摘要

This study presents an analytical solution for an exponentially-graded transversely isotropic half-space reinforced by a thin plate, subjected to frictionless contact conditions and buried static point loads. The adopted material model captures the behavior of anisotropic and functionally graded media with improved accuracy compared to the assumption of transverse isotropy. Expressions for displacement field are derived, integrating material anisotropy, functional gradation, and interface conditions. The results show that increasing the thin plate stiffness significantly reduces the normal displacement of the half-space, with displacement nearly vanishing under extreme conditions. Additionally, variations in material gradation initially lead to a substantial reduction in displacement, while specific reinforcement conditions may result in localized increases. These findings provide insights into the mechanical behavior of surface-reinforced anisotropic media and multi-layered structures in applications such as protective coatings, pavements, and ground reinforcements.