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<p>This paper presents a&#xa0;theoretical study—based on previously granted patents—of a&#xa0;new type of spherical metal casting mold capable of withstanding ultra-high internal gas pressures (up to 1000 MPa). The mold is a&#xa0;prefabricated, multi-part spherical structure preloaded into a&#xa0;prestressed state.</p><p>A&#xa0;mathematical model of the structure’s response to internal gas pressure is developed using the linear theory of elasticity. The stress–strain state is evaluated for each structural element. The resulting system of equations is solved numerically using a&#xa0;validated finite-difference method.</p><p>A&#xa0;test configuration was considered. The mutual interaction between structural components is examined, along with the influence of each component on the crack resistance of the overall system. The numerical results are presented as stress and displacement plots.</p>

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Modeling the stability of a spherical metal casting mold under ultra-high internal gas pressure

  • 期刊论文

  • 发表日期：

    2025年10月7日

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  • Alexey I. Evstigneev,
  • Dmitry A. Potyanikhin,
  • Valery I. Odinokov,
  • Yulia B. Koloshenko,
  • Eduard A. Dmitriev

摘要

This paper presents a theoretical study—based on previously granted patents—of a new type of spherical metal casting mold capable of withstanding ultra-high internal gas pressures (up to 1000 MPa). The mold is a prefabricated, multi-part spherical structure preloaded into a prestressed state.

A mathematical model of the structure’s response to internal gas pressure is developed using the linear theory of elasticity. The stress–strain state is evaluated for each structural element. The resulting system of equations is solved numerically using a validated finite-difference method.

A test configuration was considered. The mutual interaction between structural components is examined, along with the influence of each component on the crack resistance of the overall system. The numerical results are presented as stress and displacement plots.