Scholarlink

Abstract <p>For a poroelastic wedge with an arbitrary opening angle, the first homogeneous singular boundary value problem is considered, when there are no stress components at the boundaries of the wedge. Based on the asymptotic representations of the solutions of the first boundary value problem of elasticity theory for a wedge-shaped region in the vicinity of the wedge apex, an energy solution to the problem under consideration is constructed. Depending on the wedge opening angle and elastic constants, various special cases are considered and possible stress singularity indices at the wedge apex are established. The effects of taking into account poroelasticity according to the model adopted in the paper on the stress concentration coefficients around the corner point are noted.</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

Homogeneous Singular Boundary Value Problem of Poroelasticity Theory

  • 期刊论文

  • 发表日期：

    2025年8月1日

查看全文
  • A. M. Sargsyan,
  • E. G. Kanetsyan

摘要

Abstract

For a poroelastic wedge with an arbitrary opening angle, the first homogeneous singular boundary value problem is considered, when there are no stress components at the boundaries of the wedge. Based on the asymptotic representations of the solutions of the first boundary value problem of elasticity theory for a wedge-shaped region in the vicinity of the wedge apex, an energy solution to the problem under consideration is constructed. Depending on the wedge opening angle and elastic constants, various special cases are considered and possible stress singularity indices at the wedge apex are established. The effects of taking into account poroelasticity according to the model adopted in the paper on the stress concentration coefficients around the corner point are noted.