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<p>This study is a geometric version of Ball’s work (Philos Trans R Soc Lond Ser A 306(1496):557–611, 1982). Radial deformations in Riemannian manifolds are singular solutions to some nonlinear equations given by constitutive functions and radial curvatures. A geodesic spherical cavity forms at the center of a geodesic ball in tension by means of given surface tractions or displacements. The existence of such solutions depends on the growth properties of the constitutive functions and the radial curvatures.</p>

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Radial Deformations and Cavitation on Riemannian Manifolds with Applications to Nonlinear Membrane Shells

  • 期刊论文

  • 发表日期：

    2025年6月14日

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  • Peng-Fei Yao

摘要

This study is a geometric version of Ball’s work (Philos Trans R Soc Lond Ser A 306(1496):557–611, 1982). Radial deformations in Riemannian manifolds are singular solutions to some nonlinear equations given by constitutive functions and radial curvatures. A geodesic spherical cavity forms at the center of a geodesic ball in tension by means of given surface tractions or displacements. The existence of such solutions depends on the growth properties of the constitutive functions and the radial curvatures.